I want to insert a groups of ones in between zeros. I want to display all the possibilities.
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For example: 8 zeros, 6 ones (two groups with 3 in each group). Insert ones as a group in all possible places between zeros. Then i want answer as 00001110000111, 01110001110000, 00111000111000, 00011100000111. But this is a small example. But i want for a general case.
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Stephen23
2019-2-21
A not very efficient brute-force method:
>> C = repmat({0},1,8);
>> C(1:2) = {[1,1,1]};
>> D = num2cell(perms(1:8),2);
>> D = cellfun(@(x)[C{x}],D,'uni',0);
>> D = unique(vertcat(D{:}),'rows')
D =
0 0 0 0 0 0 1 1 1 1 1 1
0 0 0 0 0 1 1 1 0 1 1 1
0 0 0 0 0 1 1 1 1 1 1 0
0 0 0 0 1 1 1 0 0 1 1 1
0 0 0 0 1 1 1 0 1 1 1 0
0 0 0 0 1 1 1 1 1 1 0 0
0 0 0 1 1 1 0 0 0 1 1 1
0 0 0 1 1 1 0 0 1 1 1 0
0 0 0 1 1 1 0 1 1 1 0 0
0 0 0 1 1 1 1 1 1 0 0 0
0 0 1 1 1 0 0 0 0 1 1 1
0 0 1 1 1 0 0 0 1 1 1 0
0 0 1 1 1 0 0 1 1 1 0 0
0 0 1 1 1 0 1 1 1 0 0 0
0 0 1 1 1 1 1 1 0 0 0 0
0 1 1 1 0 0 0 0 0 1 1 1
0 1 1 1 0 0 0 0 1 1 1 0
0 1 1 1 0 0 0 1 1 1 0 0
0 1 1 1 0 0 1 1 1 0 0 0
0 1 1 1 0 1 1 1 0 0 0 0
0 1 1 1 1 1 1 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 1 1
1 1 1 0 0 0 0 0 1 1 1 0
1 1 1 0 0 0 0 1 1 1 0 0
1 1 1 0 0 0 1 1 1 0 0 0
1 1 1 0 0 1 1 1 0 0 0 0
1 1 1 0 1 1 1 0 0 0 0 0
1 1 1 1 1 1 0 0 0 0 0 0
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