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    <?php
    
    /*
     * Complete the 'beadOrnaments' function below.
     *
     * The function is expected to return an INTEGER.
     * The function accepts INTEGER_ARRAY b as parameter.
     */
    
    
    $fp = fopen("php://stdin", "r");
    
    const MOD = 1000000007;
    
    fscanf($fp, "%d", $T);
    
    while($T--){
        fscanf($fp, "%d", $n);
        
        $beads = explode(" ", trim(fgets($fp)));
        
        $result = total_ways_dp($beads);
        
        echo $result . "\n";
    }
    
    function total_ways_dp($beads) {
        global $n;
        
        $ALL = (1 << $n) - 1;
        $beads_sum = array_fill(0, 1 << $n, 0);
        $ways = array_fill(0, 1 << $n, 0);
      
        for ($mask = 1; $mask <= $ALL; ++$mask) {
            $k = 0;
            $m = bitcount($mask);
            $submask = (int)($mask - 1) & (int)$mask;
            
            while($k < $n && ((int)$mask & (1 << $k)) == 0) {
                ++ $k;
            }
            
            $beads_sum[$mask] = $beads_sum[$submask] + $beads[$k];
            
            if ($m == 1) {
                $ways[$mask] = power($beads[$k], $beads[$k] - 2);
            } else {
                for ($mask_a = (int)($mask - 1) & (int)$mask, $mask_b; $mask_a > 0; $mask_a = (int)($mask_a - 1) & (int)$mask) {
                    $mask_b = $mask - $mask_a;
                    $ways[$mask] = ($ways[$mask] + $ways[$mask_a] * $ways[$mask_b] % MOD * $beads_sum[$mask_a] * $beads_sum[$mask_b]) % MOD;
                }
                
                $ways[$mask] = $ways[$mask] * power(2 *($m - 1), MOD - 2) % MOD;
            }
        }
        
        return $ways[$ALL];
    }
    
    function power($a, $n) {
      if ($n < 0) {
        return power(power($a, MOD - 2), -$n);
      }
      
      if ($n == 0) {
        return 1;
      }
      
      if ($n == 1) {
        return $a;
      }
      
      $res = power($a, (int)($n/2));
      $res = $res * $res % MOD;
      
      if ((int)$n & 1) {
        $res = $res * $a % MOD;
      }
      
      return $res;
    }
    
    function bitcount($mask) {
        $cnt = 0;
        
        while($mask > 0) {
            $mask = (int)$mask & (int)($mask - 1);
            ++$cnt;
        }
        
        return $cnt;
    }``
    
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    Here is my solution in java, javascript, python, C, C++, Csharp HackerRank Bead Ornaments Problem Solution

  • + 0 comments

    Here is the solution of Bead Ornaments Click Here

  • + 1 comment

    Link of the Bead ornaments problem explanation (in hindi): https://youtu.be/lTrgFiHw6ik

  • + 1 comment

    https://zeroplusfour.com/bead-ornaments-hackerrank-solution/

    Here's how I did in all languages Java 8 , C++ , C , Python 3, Python 2.