CoCalc -- 2512.sagews

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M=[[1,4,5,6],[2,3,7,8],[9,10,11,12]];


for jindex in range(12):
    print matrix(M)
    i =0;
    j=0;

    k=1;
    while j <3 and i<2:
        if j<3 and i<2:
            if M[i][j+1]<M[i+1][j]:
                M[i][j]=M[i][j+1]
                j=j+1
                #print i, j;
            else:
                M[i][j]=M[i+1][j]
                i=i+1
                #print i,j
            while j==3 and i<2:
                M[i][j]=M[i+1][j]

                i=i+1
                #print i,j
            while i==2 and j<3:
                M[i][j]=M[i][j+1]
                j=j+1;
    for index in range(3):
        for index2 in range(4):
            M[index][index2]=M[index][index2]-1;
            M[2][3]=12;
    print " ";
    print jindex+1
    print matrix(M);
    print "-----------------jdt ------------- ";

[ 1  4  5  6]
[ 2  3  7  8]
[ 9 10 11 12]
 
1
[ 1  3  4  5]
[ 2  6  7 11]
[ 8  9 10 12]
-----------------jdt ------------- 
[ 1  3  4  5]
[ 2  6  7 11]
[ 8  9 10 12]
 
2
[ 1  2  3  4]
[ 5  6  9 10]
[ 7  8 11 12]
-----------------jdt ------------- 
[ 1  2  3  4]
[ 5  6  9 10]
[ 7  8 11 12]
 
3
[ 1  2  3  9]
[ 4  5  8 11]
[ 6  7 10 12]
-----------------jdt ------------- 
[ 1  2  3  9]
[ 4  5  8 11]
[ 6  7 10 12]
 
4
[ 1  2  7  8]
[ 3  4  9 10]
[ 5  6 11 12]
-----------------jdt ------------- 
[ 1  2  7  8]
[ 3  4  9 10]
[ 5  6 11 12]
 
5
[ 1  3  6  7]
[ 2  5  8  9]
[ 4 10 11 12]
-----------------jdt ------------- 
[ 1  3  6  7]
[ 2  5  8  9]
[ 4 10 11 12]
 
6
[ 1  2  5  6]
[ 3  4  7  8]
[ 9 10 11 12]
-----------------jdt ------------- 
[ 1  2  5  6]
[ 3  4  7  8]
[ 9 10 11 12]
 
7
[ 1  3  4  5]
[ 2  6  7 11]
[ 8  9 10 12]
-----------------jdt ------------- 
[ 1  3  4  5]
[ 2  6  7 11]
[ 8  9 10 12]
 
8
[ 1  2  3  4]
[ 5  6  9 10]
[ 7  8 11 12]
-----------------jdt ------------- 
[ 1  2  3  4]
[ 5  6  9 10]
[ 7  8 11 12]
 
9
[ 1  2  3  9]
[ 4  5  8 11]
[ 6  7 10 12]
-----------------jdt ------------- 
[ 1  2  3  9]
[ 4  5  8 11]
[ 6  7 10 12]
 
10
[ 1  2  7  8]
[ 3  4  9 10]
[ 5  6 11 12]
-----------------jdt ------------- 
[ 1  2  7  8]
[ 3  4  9 10]
[ 5  6 11 12]
 
11
[ 1  3  6  7]
[ 2  5  8  9]
[ 4 10 11 12]
-----------------jdt ------------- 
[ 1  3  6  7]
[ 2  5  8  9]
[ 4 10 11 12]
 
12
[ 1  2  5  6]
[ 3  4  7  8]
[ 9 10 11 12]
-----------------jdt -------------

M=[[1,3,4,5],[2,6,7,8],[9,10,11,12]];

print matrix(M)
i =0;
j=0;

k=1;
while j <3 and i<2:
    if j<3 and i<2:
        if M[i][j+1]<M[i+1][j]:
            M[i][j]=M[i][j+1]
            j=j+1
            #print i, j;
        else:
            M[i][j]=M[i+1][j]
            i=i+1
            #print i,j
        while j==3 and i<2:
            M[i][j]=M[i+1][j]

            i=i+1
            #print i,j
        while  i==2 and j<3:
            M[i][j]=M[i][j+1]
            j=j+1;
for index in range(3):
    for index2 in range(4):
        M[index][index2]=M[index][index2]-1;
        M[2][3]=12;
print " ";
print matrix(M);

for jindex in range(24):
    print matrix(M)
    i =0;
    j=0;

    k=1;
    while j <3 and i<2:
        if j<3 and i<2:
            if M[i][j+1]<M[i+1][j]:
                M[i][j]=M[i][j+1]
                j=j+1
                #print i, j;
            else:
                M[i][j]=M[i+1][j]
                i=i+1
                #print i,j
            while j==3 and i<2:
                M[i][j]=M[i+1][j]

                i=i+1
                #print i,j
            while i==2 and j<3:
                M[i][j]=M[i][j+1]
                j=j+1;
    for index in range(3):
        for index2 in range(4):
            M[index][index2]=M[index][index2]-1;
            M[2][3]=12;
    print " ";
    print jindex+1
    print matrix(M);
    print "-----------------jdt ------------- ";

ST= StandardTableaux([4,4,4]);
for index in range(len( ST.list())):
    for index2 in range (len(ST.list()[1])):
        print ST.list()[index][index2];
    print "------";
    print " ";

WARNING: Output truncated!

full_output.txt

[ 1  3  4  5]
[ 2  6  7  8]
[ 9 10 11 12]
 
[ 1  2  3  4]
[ 5  6  7 11]
[ 8  9 10 12]
[ 1  2  3  4]
[ 5  6  7 11]
[ 8  9 10 12]
 
1
[ 1  2  3 10]
[ 4  5  6 11]
[ 7  8  9 12]
-----------------jdt ------------- 
[ 1  2  3 10]
[ 4  5  6 11]
[ 7  8  9 12]
 
2
[ 1  2  5  9]
[ 3  4  8 10]
[ 6  7 11 12]
-----------------jdt ------------- 
[ 1  2  5  9]
[ 3  4  8 10]
[ 6  7 11 12]
 
3
[ 1  3  4  8]
[ 2  6  7  9]
[ 5 10 11 12]
-----------------jdt ------------- 
[ 1  3  4  8]
[ 2  6  7  9]
[ 5 10 11 12]
 
4
[ 1  2  3  7]
[ 4  5  6  8]
[ 9 10 11 12]
-----------------jdt ------------- 
[ 1  2  3  7]
[ 4  5  6  8]
[ 9 10 11 12]
 
5
[ 1  2  5  6]
[ 3  4  7 11]
[ 8  9 10 12]
-----------------jdt ------------- 
[ 1  2  5  6]
[ 3  4  7 11]
[ 8  9 10 12]
 
6
[ 1  3  4  5]
[ 2  6  9 10]

...

[1, 3, 4, 7]
[2, 5, 6, 8]
[9, 10, 11, 12]
------
 
[1, 2, 4, 7]
[3, 5, 6, 8]
[9, 10, 11, 12]
------
 
[1, 2, 3, 7]
[4, 5, 6, 8]
[9, 10, 11, 12]
------
 
[1, 3, 5, 6]
[2, 4, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 5, 6]
[3, 4, 7, 8]
[9, 10, 11, 12]
------
 
[1, 3, 4, 6]
[2, 5, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 4, 6]
[3, 5, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 3, 6]
[4, 5, 7, 8]
[9, 10, 11, 12]
------
 
[1, 3, 4, 5]
[2, 6, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 4, 5]
[3, 6, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 3, 5]
[4, 6, 7, 8]
[9, 10, 11, 12]
------
 
[1, 2, 3, 4]
[5, 6, 7, 8]
[9, 10, 11, 12]
------