Array Addition I

/***************************************************************************************
*                                                                                      *
*                  CODERBYTE BEGINNER CHALLENGE                                        *
*                                                                                      *
*  Array Addition I                                                                    *
*  Using the JavaScript language, have the function ArrayAdditionI(arr) take the array *
*  of numbers stored in arr and return the string true if any combination of numbers   *
*  in the array can be added up to equal the largest number in the array, otherwise    *
*  return the string false. For example: if arr contains [4, 6, 23, 10, 1, 3] the      *
*  output should return true because 4 + 6 + 10 + 3 = 23. The array will not be empty, *
*  will not contain all the same elements, and may contain negative numbers.           *                                         *
*                                                                                      *
*  SOLUTION                                                                            *
*  To get the largest number I am going to sort the array in ascending order which     *
*  leaves the largest number at the end of the array. I can get largest number using   *
*  pop() function. To get the total I am going to use two nested loops. The outer      *
*  loop goes through every number in the array. The inner loop then adds all the other *
*  numbers in the array and then compares the total to the largest number. If a match  *
*  is found then return true else return false.                                        *
*                                                                                      *
*  Steps for solution                                                                  *
*    1) Sort array in ascending order.                                                 *
*    2) Remove largest number from array and store in largest                          *
*    3) Loop through each number in array                                              *
*    4) Add every other number to this number and see if total matches largest         *
*    5) If match return True else return False
*                                                                                      *
***************************************************************************************/

function ArrayAdditionI(arr) { 

  arr.sort(function(a,b){return a - b});
  var maxNum = arr.pop();
  var tot = 0;
    
  for (var i = 0; i < arr.length; i++){
    tot += arr[i];
    for (var j = 0; j < arr.length; j++){
      if (i != j) {
        tot += arr[j];
        if (tot == maxNum) {
          return true;
        }
      }
    }
      
    for (var k = 0; k < arr.length; k++) {
      if (i != k) {
        tot -= arr[k];
        if (tot == maxNum) {
          return true;
        }
      }
    }
    tot = 0;
  }
    
  return false; 
         
}