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problem11_LargestProdInGrid.py
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problem11_LargestProdInGrid.py
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numbers = [[8, 2, 22, 97, 38, 15, 00, 40, 00, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 00],[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65],[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],[21, 36, 23, 9, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95],[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57],[86, 56, 00, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40],[4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16],[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54],[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]]
COL = 20
ROW = 20
vprod = 0
hprod = 1
rdprod = 2
ldprod = 3
maxp = 4
maxProduct = 0
def calculateVerticalProd(r,c):
prod = 1
if r < ROW - 4:
for i in range(4):
prod = prod * numbers[r+i][c]
else:
prod = -1
return prod
def calculateHorizontalProd(r,c):
prod = 1
if c < COL - 4:
for i in range(4):
prod = prod * numbers[r][c+i]
else:
prod = -1
return prod
def calculateRightDiagonalProd(r,c):
prod = 1
if r < ROW -4 and c < COL - 4:
for i in range(4):
prod = prod * numbers[r+i][c+i]
else:
prod = -1
return prod
def calculateLeftDiagonalProd(r,c):
prod = 1
if r >= 3 and c < COL -4:
for i in range(4):
prod = prod * numbers[r-i][c+i]
else:
prod = -1
return prod
products = [vprod,hprod,rdprod,ldprod,maxp]
for i in range(20):
for j in range(20):
products[vprod] = calculateVerticalProd(i,j)
products[hprod] = calculateHorizontalProd(i,j)
products[rdprod] = calculateRightDiagonalProd(i,j)
products[ldprod] = calculateLeftDiagonalProd(i,j)
products[maxp] = maxProduct
maxProduct = max(products)
print maxProduct