# Find the maximum total from top to bottom of the triangle below:

triangle = 
((75,),
(95,64),
(17,47,82),
(18,35,87,10),
(20,04,82,47,65),
(19,01,23,75,03,34),
(88,02,77,73,07,63,67),
(99,65,04,28,06,16,70,92),
(41,41,26,56,83,40,80,70,33),
(41,48,72,33,47,32,37,16,94,29),
(53,71,44,65,25,43,91,52,97,51,14),
(70,11,33,28,77,73,17,78,39,68,17,57),
(91,71,52,38,17,14,91,43,58,50,27,29,48),
(63,66,04,68,89,53,67,30,73,16,69,87,40,31),
(04,62,98,27,23,09,70,98,73,93,38,53,60,04,23))

def solvetriangle(triangle, top):
    """
    top is a coordinate in triangle
    """
    #for row in triangle[:-1:-1]:
    if len(triangle) == 1:
        if lefttotal > righttotal:
            return leftotal, leftpath
        else:
            return rightotal, rightpath

    #left = triangle
    else:
        lefttotal = solvetriangle(triangle, right)
        righttotal = solvetriangle(triangle, left)
    
    return total, path
