Create a matrix and a map of Hydrologic Soil Group values using integer or character values

I want to create a matrix and a map of Hydrologic Soil Group (HSG) values using integer or character values. I have a vector of 8853x1 with the HSG letters (A, B, C or D) for different locations in St. Croix island (USVI). I want to produce a 102x263 matrix with those letters, using different scripts that I have available. The problem is that Matlab doesn't let me produce a matrix with letters or character values (char format). The thing is, if I use numbers instead of letters (1, 2, 3 and 4), the matrix that is produced has all the numbers in double or float format, with decimal digits, and not whole numbers or integers.. But when I converted the vector to integer format, matlab doesn't produce a matrix from that vector. I will use this matrix to plot a map of the island showing different colors according to the HSG values or letters. How can I produce a matrix and a map with integer and/or character values using a 8853x1 vector? Should I just round up the numbers in the matrix to the nearest whole number?

Answer 1

[John D'Errico]

MATLAB does indeed allow you to produce a character matrix, with those characters. However, I assume you have scattered data, with measurements taken not on a grid. You will then want to interpolate onto the desired grid. I'll make up some scattered data, and some locations.

HSGmeas = char(randi([0,3],20,1) + 'A');
HSGxy = rand(20,2);
table(HSGxy,HSGmeas)

ans = 20x2 table
           HSGxy            HSGmeas
    ____________________    _______

     0.94732     0.62392       C   
     0.97753     0.55289       D   
     0.98256     0.46539       C   
     0.59896     0.59335       A   
      0.6421     0.78152       D   
    0.017624     0.58181       A   
     0.21225     0.14788       A   
    0.050551     0.31561       B   
     0.64462     0.88462       B   
    0.049427       0.436       A   
     0.99362     0.44818       D   
     0.57008     0.98742       D   
     0.68726     0.82904       C   
     0.71384      0.9056       B   
     0.48322     0.12337       A   
     0.40099    0.047118       B   

How will you then interpolate them onto a grid? Start with scatteredInterpolant. You will want to use linear interpolation, then round the result, and convert to character.

Subtracting 'A' below converts the letters into the integers [0,1,2,3]. As well, note that I use 'nearest' to prevent dangerous things happening outside of the convex hull of your data.

interp = scatteredInterpolant(HSGxy(:,1),HSGxy(:,2),HSGmeas - 'A','linear','nearest');
[xgrid,ygrid] = meshgrid(linspace(0,1,100));

ROUND the result. Do not round up.

zgrid = round(interp(xgrid,ygrid));
surf(xgrid,ygrid,zgrid)

char(zgrid + 'A')

ans = 100x100 char array
    'AAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBAAAAAAABBAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCBAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCBAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCCBAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABCCCAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCDCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCDCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCDCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCDDDCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCDDDDCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCDDDDDDCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCDDDDDDDDCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCDDDDDDDDDCCDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBCCCCCDDDDDDDDDDCCDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBCCCCCDDDDDDDDDDDDCCDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBCCCCCDDDDDDDDDDDDDCDDDDDDCCDDDDDDDDDDDDDDDD'
    'BBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBCCCCCCDDDDDDDDDDDDDDCDDCCCCDDDDDDDDDDDDDDDD'
    'BBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBCCCCCCCDDDDDDDDDDDDDDCCCCCCDDDDDDDDDDDDDDDD'
    'BBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBCCCCCCCCDDDDDDDDDDDDDDDCCCCDDDDDDDDDDDDDDDD'
    'BBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBCCCCCCCCCDDDDDDDDDDDDDDDDCCCDDDDDDDDDDDDDDD'
    'BBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCDDDDDDDDDDDDDDDDCCDDDDDDDDDDDDDDD'
    'BBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'BBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAABAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDD'
    'AAAABAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCDDDCCCCCCCCCDC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBAABBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBAAAABBBBBBBBBBCCCCCCCCCCCCCCCCCDDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBAAAAAABBBBBBBBCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBAAAAAAAABBBBBBBCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCDDDDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCDD'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBCCCCCDCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAABBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBCCCCCDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAABBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAABBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAABBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBCCCCCDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAABBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBCCCCCDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAABBBBBBCCCCCCDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBAAAAAAAAAAABBBBBBCCCCCDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBAAAAAAAABBBBCCCCCCDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBAAAAABBBCCCCCDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBAAABBBCCCCCDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBAABBBCCCDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBABBBCCCDDDDDDDDCCCCCCCCCCCBCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAACBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCDDDDDCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCBBBBBBBBBBBBBBBBBBBBBBBBBBCCCDDDCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCBBBBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCBBCCCCCCCCBCCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCBBBBBBBBBBBBBBBBBBBCCCCCCCCCCCCCCBBCCCCCCBBBBBCCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCCCCBBBBBBBBBBBBBBBCCCCCCCCCCCCCBBBCCCBBBBBBBBBCCCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCCCCCCBBBBBBBBBBBBCCCCCCCCCCBBBBCBBBBBBBBBBBBBBCCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCCCCCCCCBBBBBBBBBBCCCCCCCCBBBBBBBBBBBBBBBBBBBBBCCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCCCCCCCBBBBBBBBBCBBCCCCBBBBBBBBBBBBBBBBBBBBBBBCCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDDDDDCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBC'
    'AAAAAAAAAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'
    'AAAAAAAAAAAAAADDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB'