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Project Euler - Problem 67

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Problem description

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.

7 5
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)


See Euler 18.