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# sorted(?List, ?Sorted, ?Positions)

Sorted is a sorted permutation (described by Positions) of List

List
  List of domain variables or integers
Sorted
  List of domain variables or integers
Positions
  List of domain variables or integers

## Description

Declaratively: Sorted is a sorted permutation of List. Positions is a list whose elements range from 1 to N (where N is the length of the lists) indicating the position of each unsorted list element within the sorted list. The positions are all different. The three lists are constrained to have the same length.

Operationally: the elements in all three lists are constrained such that their domains are consistent with the declarative meaning.

Two of the three arguments can be uninstantiated or partial lists at call time.

Any input variables which do not already have finite bounds will be given default bounds of -10000000 to 10000000.

### Modes and Determinism

- sorted(+, ?, ?)
- sorted(?, +, ?)
- sorted(?, ?, +)

## Examples

        ?- length(Xs,4), Xs::0..100, sorted(Xs,Ys,Ps), Xs = [8,20|_].

        Xs = [8, 20, _346{[0..100]}, _359{[0..100]}]
        Ys = [_445{[0..8]}, _427{[0..20]}, _537{[8..100]}, _635{[20..100]}]
        Ps = [_882{[1..3]}, _895{[2..4]}, _908{[1..4]}, _921{[1..4]}]

## See Also

sorted / 2, ordered / 2