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| #!/usr/local/bin/python3.3
# -*-coding:utf-8 -*
GRID = [
[ 8, 2, 22, 97, 38, 15, 0, 40, 0, 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, 0],
[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, 0, 76, 44, 20, 45, 35, 14, 0, 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, 0, 17, 54, 24, 36, 29, 85, 57],
[86, 56, 0, 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],
]
def greatest_product():
direction = 'horizontal'
line, column, greatest = get_horizontal_max()
ln, cl, gt = get_vertical_max()
if gt > greatest:
direction = 'vertical'
line, column, greatest = ln, cl, gt
ln, cl, gt = get_diagonal_from_left_max()
if gt > greatest:
direction = 'diagonal_from_left'
line, column, greatest = ln, cl, gt
ln, cl, gt = get_diagonal_from_right_max()
if gt > greatest:
direction = 'diagonal_from_right'
line, column, greatest = ln, cl, gt
return greatest, column, line, direction
def get_horizontal_max():
mx = 0
for idx, line in enumerate(GRID):
for i in range(17):
tt = line[i]
for j in range(i+1, i+4):
tt *= line[j]
if tt > mx:
mx = tt
col = i
ln = idx
print("horizontal : " + str(mx))
return ln, col, mx
def get_vertical_max():
mx = 0
for ln in range(17):
for col in range(20):
prod = GRID[ln][col]*GRID[ln+1][col]*GRID[ln+2][col]*GRID[ln+3][col]
if prod>mx:
mx = prod
col = col
ln = ln
print("vertical : " + str(mx))
return ln,col,mx
def get_diagonal_from_left_max():
mx =0
for ln in range(17):
for col in range(17):
prod = GRID[ln][col]*GRID[ln-1][col-1]*GRID[ln-2][col-2]*GRID[ln-3][col-3]
if prod>mx:
mx = prod
col = col
ln = ln
print("diagonal left : " + str(mx))
return ln,col,mx
def get_diagonal_from_right_max():
mx = 0
for ln in range(0,17):
for col in range(3,20):
prod=GRID[ln][col]*GRID[ln+1][col-1]*GRID[ln+2][col-2]*GRID[ln+3][col-3]
if prod>mx:
mx = prod
col = col
ln = ln
print("diagonal right : " + str(mx))
return ln,col,mx
sum_max, posX, posY, direction = greatest_product()
# sum_max est le produit maximal
# posX, posY sont les coordonnées du premier nombre de quatre dans la grille
# direction est le sens dans lequel on a trouvé le nombre
print("\nLe nombre maximum :"+str(sum_max));
print("\n pos["+str(posX)+"]["+str(posY)+"] = "+str(GRID[posX][posY])+"\n direction :" + direction + "\n") |
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