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  1. <?php
  2.  
  3. $n = 120; // сумма
  4.  
  5. $s = array(10, 60, 100); // множество монет
  6.  
  7. $r = []; // сортировочные варианты
  8.  
  9. for ($x = 0; $x < count($s); $x++) {
  10.     for ($y = 0; $y < count($s); $y++) {
  11.         $sum = $s[$y];
  12.         if ($sum + $s[$x] > $n) {
  13.             continue;
  14.         }
  15.         $r[$x][$y][] = $sum;
  16.         while (true) {
  17.             if ($sum + $s[$x] > $n) {
  18.                 break;
  19.             }
  20.             $sum += $s[$x];
  21.             $r[$x][$y][] = $s[$x];
  22.         }
  23.     }
  24. }
  25.  
  26. $a = []; // возможные варианты
  27.  
  28. for ($x = 0; $x < count($r); $x++) {
  29.     for ($y = 0; $y < count($r[$x]); $y++) {
  30.         if (array_sum($r[$x][$y]) == $n) {
  31.             $a[] = $r[$x][$y];
  32.         }
  33.     }
  34. }
  35.  
  36. $o = []; // оптимальные варианты
  37. $min = count($a[0]);
  38.  
  39. for ($x = 0; $x < count($a); $x++) {
  40.     if (count($a[$x]) < $min) {
  41.         $min = count($a[$x]);
  42.     }
  43. }
  44.  
  45. for ($x = 0; $x < count($a); $x++) {
  46.     if (count($a[$x]) == $min) {
  47.         $o[] = $a[$x];
  48.     }
  49. }
  50.  
  51. var_dump($o);
  52.  
  53. ?>
Success #stdin #stdout 0.03s 82560KB
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array(1) {
  [0]=>
  array(2) {
    [0]=>
    int(60)
    [1]=>
    int(60)
  }
}
https://ideone.com/FLJC6a
language:
PHP (php 7.3.5)
created:
7 years ago
visibility:
public

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