Coding Challenge for Codetrotters Fellowship - Goal: Function that takes an array of whole numbers and organizes them in the largest possible number together

ct_codingchallenge2016.js

var arrays = [
  [9, 17, 0, 50],
  [ 342, 689 ],
  [ 43, 5, 12, 99 ],
  [ 8, 4, 100 ],
  [ 0, 1, 2, 3, 4, 5, 6, 7 ]
];

function createHighestNumber(input, firstDigit, output){
  while (input.length > 0) {
      for (var j = 0; j < firstDigit.length; j++) {
          if (firstDigit[j] == Math.max.apply(null, firstDigit)) {
              output += input[j].toString();
              input.splice(j, 1);
              firstDigit.splice(j, 1);
          }
      }
  }
  return output;
}

function highestNumber(array) {
    var list = [],
        str = '';
    for (var i = 0, end = array.length; i < end; i++) {
        list.push(array[i].toString()[0]);
    }
    str = createHighestNumber(array, list, str);
    return str;
}


for (var n = 0; n < arrays.length; n++) {
  highestNumber(arrays[n]);
}