problem0018.py

T = [[75, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [95, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [17, 47, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 
        [18, 35, 87, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [20, 4, 82, 47, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [19, 1, 23, 75, 3, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        [88, 2, 77, 73, 7, 63, 67, 0, 0, 0, 0, 0, 0, 0, 0],
        [99, 65, 4, 28, 6, 16, 70, 92, 0, 0, 0, 0, 0, 0, 0],
        [41, 41, 26, 56, 83, 40, 80, 70, 33, 0, 0, 0, 0, 0, 0],
        [41, 48, 72, 33, 47, 32, 37, 16, 94, 29, 0, 0, 0, 0, 0],
        [53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14, 0, 0, 0, 0],
        [70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57, 0, 0, 0],
        [91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48, 0, 0],
        [125, 164, 102, 95, 112, 123, 165, 128, 166, 109, 122, 147, 100, 54, 0],
        [4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23]]

i = 14
while i>=0:
    j =0
    while j <=13:
        a = T[i][j] + T[i-1][j]
        b = T[i][j+1] + T[i-1][j]
        if a > b:
            T[i-1][j] = a
        else:
            T[i-1][j] = b
        j+=1
    i -=1

print(T[0][0])