Find first missing positive

From Rosetta Code
Revision as of 20:55, 23 February 2021 by rosettacode>Gerard Schildberger (→‎{{header|REXX}}: added the computer programming language REXX.)
Find first missing positive is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

Given an integer array nums, which may or may not be sorted, the goal is find the smallest missing positive integer.

For example:
nums = [1,2,0], [3,4,-1,1], [7,8,9,11,12]
output = 3, 2, 1

Julia

<lang julia> for array in [[1,2,0], [3,4,-1,1], [7,8,9,11,12], [-5, -2, -6, -1]]

   a = sort(array)
   x = findfirst(i -> a[i] > -1 && a[i + 1] - a[i] > 1, 1:length(a)-1)
   println("$array  =>  ", x != nothing ? a[x] + 1 : a[end] > -1 ? a[end] + 1 : "None")

end

</lang>

Output:
[1, 2, 0]  =>  3
[3, 4, -1, 1]  =>  2
[7, 8, 9, 11, 12]  =>  10
[-6, -5, -2, -1]  =>  None

REXX

This REXX version doesn't need to sort the elements of the sets,   it uses an associated array. <lang ring>/*REXX program finds the smallest missing positive integer in a given list of integers. */ parse arg a /*obtain optional arguments from the CL*/ if a= | a="," then a= '[1,2,0] [3,4,-1,1] [7,8,9,11,12] [1,2,3,4,5]' ,

                        "[-6,-5,-2,-1]  [5,-5]  [-2]  [1]  []"    /*maybe use defaults.*/

say 'the smallest missing positive integer for the following sets is:' say

   do j=1  for words(a)                         /*process each set  in  a list of sets.*/
   set= translate( word(a, j), ,'],[')          /*extract   a   "  from "   "   "   "  */
   #= words(set)                                /*obtain the number of elements in set.*/
   @.= .                                        /*assign default value for set elements*/
          do k=1  for #;  x= word(set, k)       /*obtain a set element  (an integer).  */
          @.x= x                                /*assign it to a sparse array.         */
          end   /*k*/
          do m=1  for #  until @.m==.           /*now, search for the missing integer. */
          end   /*m*/
   if @.m==  then m= 1                        /*handle the case of a  "null"  set.   */
   say right( word(a, j), 40)   ' ───► '   m    /*show the set and the missing integer.*/
   end          /*j*/                           /*stick a fork in it,  we're all done. */</lang>
output   when using the default inputs:
the smallest missing positive integer for the following sets is:

                                 [1,2,0]  ───►  3
                              [3,4,-1,1]  ───►  2
                           [7,8,9,11,12]  ───►  1
                             [1,2,3,4,5]  ───►  6
                           [-6,-5,-2,-1]  ───►  1
                                  [5,-5]  ───►  1
                                    [-2]  ───►  1
                                     [1]  ───►  2
                                      []  ───►  1

Ring

<lang ring> nums = [[1,2,0],[3,4,-1,1],[7,8,9,11,12]] numnr = list(3) numnr[1] = "[1,2,0]" numnr[2] = "[3,4,-1,1]" numnr[3] = "[7,8,9,11,12]"

for n = 1 to len(nums)

   sortNums = sort(nums[n])
   ln = len(sortNums)
   num = sortNums[ln]   
   for m = 1 to num + 1
       ind = find(nums[n],m)
       if ind < 1
          see "the smallest missing positive integer for " + numnr[n] + ": " + m + nl
          exit
       ok
   next

next </lang>

Output:
the smallest missing positive integer for [1,2,0]: 3
the smallest missing positive integer for [3,4,-1,1]: 2
the smallest missing positive integer for [7,8,9,11,12]: 1

Wren

Library: Wren-sort

<lang ecmascript>import "/sort" for Sort

var firstMissingPositive = Fn.new { |a|

   var b = a.where { |i| i > 0 }.toList
   Sort.insertion(b)
   if (b.isEmpty || b[0] > 1) return 1
   var i = 1
   while (i < b.count) {
       if (b[i] - b[i-1] > 1) return b[i-1] + 1
       i = i + 1    
   }
   return b[-1] + 1

}

System.print("The first missing positive integers for the following arrays are:\n") var aa = [

   [ 1, 2, 0], [3, 4, -1, 1], [7, 8, 9, 11, 12], [1, 2, 3, 4, 5],
   [-6, -5, -2, -1], [5, -5], [-2], [1], []

] for (a in aa) System.print("%(a) -> %(firstMissingPositive.call(a))")</lang>

Output:
The first missing positive integers for the following arrays are:

[1, 2, 0] -> 3
[3, 4, -1, 1] -> 2
[7, 8, 9, 11, 12] -> 1
[1, 2, 3, 4, 5] -> 6
[-6, -5, -2, -1] -> 1
[5, -5] -> 1
[-2] -> 1
[1] -> 2
[] -> 1