how to create increasing number pyramid matrix?

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yonatan s
yonatan s 2019-1-13
评论： yonatan s 2019-1-14
hello,
how do I create a matrix of the form:
1 2 3 4 5
6 7 8 0 0
9 10 0 0 0
11 0 0 0 0
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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Rik
Rik 2019-1-13
Or is this the N=6 output?
1 2 3 4 5 6
7 8 9 0 0 0
10 11 0 0 0 0
12 0 0 0 0 0
(halving the number of non-zero elements on each row (rounding up), making each non-zero element a unique value)

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Rik
Rik 2019-1-13
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

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