Reorganizing integer vector preserving order

Hi, I have a vector that is a randmperm of n, so it looks like this

x= 2 5 6 13 18 8 14 4 9 3 1 12 16 15 7 11 10 17

Now I have deleteded some entries, based on another different program, in this case 11 and 18, and get the following vector

x'= 2 5 6 13 8 14 4 9 3 1 12 16 15 7 10 17

I want to reorganize x' in such a way that it now becomes a randmperm of 1:size(x'), i.e. that number 12 becomes 11, that number 13 becomes 12, and so on, so that my desired output is

y= 2 5 6 12 8 13 4 9 3 1 11 15 14 7 10 16

Is there an easy way to do this?

[Josue Ortega]

also, is there a way to make each element of x that is smaller than p, one unit less than its current value?

say something like x(x<p)=p-1?

Answer 1

[Jon]

I think this does what you are asking

xp =  [2     5     6    13     8    14     4     9     3     1    12    16    15     7    10    17];
[~,idx] = sort(xp);
xnew(idx) = 1:numel(xp)

xnew = 1×16

2 5 6 12 8 13 4 9 3 1 11 15 14 7 10 16