18 Maximum path sum I

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 triangle containing one-hundred rows; it cannot be solved by brute force, and requires a clever method! ;o)