How to resolve the algorithm Combinations step by step in the Bracmat programming language

Published on 12 May 2024 09:40 PM
#Bracmat

How to resolve the algorithm Combinations step by step in the Bracmat programming language

Table of Contents

Problem Statement

Given non-negative integers   m   and   n,   generate all size   m   combinations   of the integers from   0   (zero)   to   n-1   in sorted order   (each combination is sorted and the entire table is sorted).

3   comb   5     is: If it is more "natural" in your language to start counting from   1   (unity) instead of   0   (zero), the combinations can be of the integers from   1   to   n.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Combinations step by step in the Bracmat programming language

Source code in the bracmat programming language

(comb=
  bvar combination combinations list m n pat pvar var
.     !arg:(?m.?n)
    & ( pat
      =   ?
        & !combinations (.!combination):?combinations
        & ~
      )
    & :?list:?combination:?combinations
    &   whl
      ' ( !m+-1:~<0:?m
        & chu$(utf$a+!m):?var
        & glf$('(%@?.$var)):(=?pvar)
        & '(? ()$pvar ()$pat):(=?pat)
        & glf$('(!.$var)):(=?bvar)
        & (   '$combination:(=)
            & '$bvar:(=?combination)
          | '($bvar ()$combination):(=?combination)
          )
        )
    &   whl
      ' (!n+-1:~<0:?n&!n !list:?list)
    & !list:!pat
  | !combinations);

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