089-pass-triangle

Pass Triangle

Challenge Description:

By starting at the top of the triangle and moving to adjacent numbers on the row below, the maximum total from top to bottom is 27.

   5
  9 6
 4 6 8
0 7 1 5

5 + 9 + 6 + 7 = 27

Input sample:

Your program should accept as its first argument a path to a filename. Input example is the following:

5
9 6
4 6 8
0 7 1 5

You make also check full input file which will be used for your code evaluation.

Output sample:

The correct output is the maximum sum for the triangle. So for the given example the correct answer would be

27