Given a triangle of numbers, this finds the maximum total from top to bottom
Example:
6
3 5
9 7 1
4 6 8 4
In this triangle the maximum total is 6 + 5 + 7 + 8 = 26
An element can only be summed with one of the two nearest elements in the next row
So the element 3 in row 2 can be summed with 9 and 7, but not with 1
You must provide an (triangular multidimensional) array as argument. Any other array structure will raise an argument exception.
>> require 'helltriangle'
>> triangle = Helltriangle.new([[6],[3,5],[9,7,1],[4,6,8,4]])
>> triangle.sum
>> 26Helltriangle was written as a ruby class that can be required and used as a library. It was made this way to keep it as simple and fast as possible as possible.
The function core was written as a recursive function that turns the code cleaner and mimics human approach of the problem.
For testing, Rspec gem was used.
For testing:
$ rake spec