Dynamic programming - Playing all possible solitaires on a board, throwing one die, up to the last square.

NumberSolitaire.js

function numberSolitaire(arra) {
  var dp = new Array(arra.length).fill(0);
  dp[0] = arra[0];
  for (var i = 1; i < arra.length; i++) {
    var max = -Infinity;
    for (var j = 1; j <= 6; j++) {
      if (i - j < 0) break;
      max = Math.max(max, dp[i-j] + arra[i]);
    }
    dp[i] = max;
  }
  return dp[arra.length-1];
}

https://codility.com/programmers/lessons/17-dynamic_programming/number_solitaire/