how to create increasing number pyramid matrix?

Question

yonatan s 2019-1-13

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/439580-how-to-create-increasing-number-pyramid-matrix

评论： yonatan s 2019-1-14

采纳的回答： Rik

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hello,

how do I create a matrix of the form:

in this example N=5. I need a solution for any N.

EDIT:

I'm performing manual clustering. in this example of five points. points 1&2 have been clustered together to a new point - 6. points 3&4 have been clustered together to a new point - 7. points number 5 was reassigned to point 8, and so on.

thanks

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yonatan s 2019-1-13

i've edited the question, hope it is clear now

Rik 2019-1-13

在 MATLAB Online 中打开

Or is this the N=6 output?

(halving the number of non-zero elements on each row (rounding up), making each non-zero element a unique value)

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Answer 1

Rik 2019-1-13

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https://ww2.mathworks.cn/matlabcentral/answers/439580-how-to-create-increasing-number-pyramid-matrix#answer_356245

在 MATLAB Online 中打开

In case that is the pattern you're looking for, here is the code that implements it:

function M=create_stairs_matrix(N)
M=zeros(N,1);M(1)=N;n=1;%prepare for loop
while M(n)>1
    %halve number of elements (rounding up) until 1 is reached
    M(n+1)=ceil(M(n)/2);
    n=n+1;
end
M((n+1):end)=[];%remove empty rows
nonzeroelems=sum(M);
%mark the number of elements to be filled with a true
M=(1:N)<=M;%implicit expansion (use bsxfun on <R2016b)
M=double(M');
M(logical(M))=1:nonzeroelems;
M=M';
end