How to Permute the array with specific number?

Question

Hang Vu 2019-5-28

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/464396-how-to-permute-the-array-with-specific-number

评论： Hang Vu 2019-5-29

采纳的回答： Stephen23

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I want to keep 1,2,6,7,9,10, they will not move

I have this array

b=[1,5,2,8,6,11,7,9,3,10]
P=perms(b);

HOw to use perms for 3,5,8,11 among 6 numbers above?

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Answer 1

Stephen23 2019-5-29

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https://ww2.mathworks.cn/matlabcentral/answers/464396-how-to-permute-the-array-with-specific-number#answer_377016

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>> b = [1,5,2,8,6,11,7,9,3,10];
>> idx = ~ismember(b,[1,2,6,7,9,10]);
>> mat = repmat(b,factorial(nnz(idx)),1);
>> mat(:,idx) = perms(b(idx))
mat =
 11    2    8    6    5    7    9    3   10
 11    2    8    6    3    7    9    5   10
 11    2    5    6    8    7    9    3   10
 11    2    5    6    3    7    9    8   10
 11    2    3    6    8    7    9    5   10
 11    2    3    6    5    7    9    8   10
  8    2   11    6    5    7    9    3   10
  8    2   11    6    3    7    9    5   10
  8    2    5    6   11    7    9    3   10
  8    2    5    6    3    7    9   11   10
  8    2    3    6   11    7    9    5   10
  8    2    3    6    5    7    9   11   10
  5    2   11    6    8    7    9    3   10
  5    2   11    6    3    7    9    8   10
  5    2    8    6   11    7    9    3   10
  5    2    8    6    3    7    9   11   10
  5    2    3    6   11    7    9    8   10
  5    2    3    6    8    7    9   11   10
  3    2   11    6    8    7    9    5   10
  3    2   11    6    5    7    9    8   10
  3    2    8    6   11    7    9    5   10
  3    2    8    6    5    7    9   11   10
  3    2    5    6   11    7    9    8   10
  3    2    5    6    8    7    9   11   10

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Stephen23 2019-5-29

编辑：Stephen23 2019-5-29

在 MATLAB Online 中打开

Here is a simple but not-very-efficient solution (warning: generates all permutations and discards invalid ones) (note that 1 and 10 have been ignored to make the code simpler):

b = [5,2,8,6,11,7,9,3];
V = [2,6,7,9]; % fixed
P = perms(b);
[X,Y] = ismember(P.',V);
R = reshape(Y(X),[],size(P,1));
D = all(diff(R,1,1)>0);
Z = P(D,:)

Giving:

Z =
  11     8     2     6     7     9     5
  11     8     2     6     7     5     9
  11     8     2     6     5     7     9
  11     8     2     5     6     7     9
  11     8     5     2     6     7     9
  11     2     6     8     7     9     5
  11     2     6     8     7     5     9
  11     2     6     8     5     7     9
  11     2     6     7     8     9     5
  ... lots of lines here
   3     2    11     6     7     8     9
   3     2    11     6     7     9     8
   3     2    11     8     6     7     9
   3     2     6    11     8     7     9
   3     2     6    11     7     8     9
   3     2     6    11     7     9     8
   3     2     6     8    11     7     9
   3     2     6     8     7    11     9
   3     2     6     8     7     9    11
   3     2     6     7     8    11     9
   3     2     6     7     8     9    11
   3     2     6     7    11     8     9
   3     2     6     7    11     9     8
   3     2     6     7     9    11     8
   3     2     6     7     9     8    11
   3     2     8     6    11     7     9
   3     2     8     6     7    11     9
   3     2     8     6     7     9    11
   3     2     8    11     6     7     9

Hang Vu 2019-5-29

Thank you so much! this is what I want!

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Answer 2

Jan 2019-5-28

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https://ww2.mathworks.cn/matlabcentral/answers/464396-how-to-permute-the-array-with-specific-number#answer_376918

编辑：Jan 2019-5-28

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You did not mention how the output should look like. Perhaps:

b    = [1,5,2,8,6,11,7,9,3,10];
keep = [1,2,6,7,9,10];
move = ~ismember(b, keep);
P    = perms(b(move));
R    = repmat(b, size(P,1), 1);
R(:, move) = P