## Overview

### Question

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 in triangle.txt (right click and 'Save Link/Target As...'), a 15K text file containing a triangle with one-hundred rows.

NOTE: This is a much more difficult version of Problem 18. It is not possible to try every route to solve this problem, as there are 299 altogether! If you could check one trillion ($$10^12$$) routes every second it would take over twenty billion years to check them all. There is an efficient algorithm to solve it. ;o)

7273