My Math Forum sudo latin square

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 May 23rd, 2012, 08:39 AM #1 Newbie   Joined: May 2012 Posts: 1 Thanks: 0 sudo latin square hello all dear , i am a student of computer science and i am interested to solve the problem that made my mind busy for some days Let M the matrix for example 4*4 and it fills by the random number n[i,j] i,j from {1,2,3,4} such that n[i,j] from {0,1,2,3} suppose that the number in each rows of m can be more than one for example in row1 we have 1 2 2 3 .number "2" has been duplicated and in other rows so on. but there is a restriction which in M the total number of each type is 4 , it means we have exactly 4 zero , 4 one , 4 tow and 4 there , now i want to arrange the columns of M such that in each column non exist the duplicate numbers(Like the rows of Latin square ) and i can only move the elements of each row of M in the same row (moving the elements to another rows is forbidden), to make a long story short i want to do this problem but i do not to use the backtracking solution . please some body tell how to do that

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