Project Euler Problem 67
Thinking from the bottom up got the answer
Problem:
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 2^99 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)