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euler011.py
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euler011.py
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# Max multiple of a four-in-a-row in the given number grid
# Coordinate namin convention:
# x x x x x
# y
# y
# y
# y
raw_dict = {
1: "08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08",
2: "49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00",
3: "81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65",
4: "52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91",
5: "22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80",
6: "24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50",
7: "32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70",
8: "67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21",
9: "24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72",
10: "21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95",
11: "78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92",
12: "16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57",
13: "86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58",
14: "19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40",
15: "04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66",
16: "88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69",
17: "04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36",
18: "20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16",
19: "20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54",
20: "01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48",
}
data = {}
for row in xrange(1, 21):
row = int(row)
for (pos, i) in enumerate(raw_dict[row].split(" ")):
x = pos + 1
data[(x, row)] = i
print data
max_product = 0
# Check horizontal 4-in-a-rows
for y in xrange(1, 21):
for x in xrange(1, 18):
start = int(data[(x, y)])
pos1 = int(data[(x + 1, y)])
pos2 = int(data[(x + 2, y)])
pos3 = int(data[(x + 3, y)])
maybe = (start * pos1 * pos2 * pos3)
if maybe > max_product:
max_product = maybe
print "Horizontal starting at (" + str(x) + ", " + str(y) + ") = " + str(maybe)
print max_product
# import ipdb; ipdb.set_trace();
# Check vertical 4-in-a-rows
for x in xrange(1, 21):
for y in xrange(1, 18):
start = int(data[(x, y)])
pos1 = int(data[(x, y + 1)])
pos2 = int(data[(x, y + 2)])
pos3 = int(data[(x, y + 3)])
maybe = (start * pos1 * pos2 * pos3)
if maybe > max_product:
max_product = maybe
print "Vertical starting at (" + str(x) + ", " + str(y) + ") = " + str(maybe)
print max_product
# import ipdb; ipdb.set_trace();
# Check down-and-right forward diagonal 4-in-a-row
for x in xrange(1, 18):
for y in xrange(1, 18):
start = int(data[(x, y)])
pos1 = int(data[(x + 1, y + 1)])
pos2 = int(data[(x + 2, y + 2)])
pos3 = int(data[(x + 3, y + 3)])
maybe = (start * pos1 * pos2 * pos3)
if maybe > max_product:
max_product = maybe
print "Down-and-right diagonal starting at (" + str(x) + ", " + str(y) + ") = " + str(maybe)
print max_product
# import ipdb; ipdb.set_trace();
# Check down-and-left diagonal 4-in-a-row
for x in xrange(4, 21):
for y in xrange(1, 18):
start = int(data[(x, y)])
pos1 = int(data[(x - 1, y + 1)])
pos2 = int(data[(x - 2, y + 2)])
pos3 = int(data[(x - 3, y + 3)])
maybe = (start * pos1 * pos2 * pos3)
if maybe > max_product:
max_product = maybe
print "Down-and-left diagonal starting at (" + str(x) + ", " + str(y) + ") = " + str(maybe)
print max_product