/**
 * @file Provides solution for Project Euler Problem 18 - Maximum path sum I
 * @author Eric Lavault {@link https://github.com/lvlte}
 * @license MIT
 */

/**
 * Problem 18 - Maximum path sum I
 *
 * @see {@link https://projecteuler.net/problem=18}
 *
 * By starting at the top of the triangle below and moving to adjacent numbers
 * on the row below, the maximum total from top to bottom is 23 :
 *
 *                            3
 *                           7 4
 *                          2 4 6
 *                         8 5 9 3
 *
 * That is, 3 + 7 + 4 + 9 = 23.
 *
 * Find the maximum total from top to bottom of the triangle below :
 *
 *                            75
 *                           95 64
 *                         17 47 82
 *                        18 35 87 10
 *                      20 04 82 47 65
 *                     19 01 23 75 03 34
 *                   88 02 77 73 07 63 67
 *                  99 65 04 28 06 16 70 92
 *                41 41 26 56 83 40 80 70 33
 *               41 48 72 33 47 32 37 16 94 29
 *             53 71 44 65 25 43 91 52 97 51 14
 *            70 11 33 28 77 73 17 78 39 68 17 57
 *          91 71 52 38 17 14 91 43 58 50 27 29 48
 *         63 66 04 68 89 53 67 30 73 16 69 87 40 31
 *       04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
 *
 * NOTE: As there are only 16384 routes, it is possible to solve this problem
 * by trying every route. However, Problem 67, is the same challenge with a
 * tr