Adopted new convention from template
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@@ -1,4 +1,4 @@
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#!/usr/bin/env python3
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#!/usr/bin/env python
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"""
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Created on 07 Jul 2021
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@@ -12,28 +12,29 @@ https://projecteuler.net/problem=11
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from utils import timeit
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GRID = [
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[ 8, 2,22,97,38,15, 0,40, 0,75, 4, 5, 7,78,52,12,50,77,91, 8],
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[49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48, 4,56,62, 0],
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[81,49,31,73,55,79,14,29,93,71,40,67,53,88,30, 3,49,13,36,65],
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[52,70,95,23, 4,60,11,42,69,24,68,56, 1,32,56,71,37, 2,36,91],
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[22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80],
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[24,47,32,60,99, 3,45, 2,44,75,33,53,78,36,84,20,35,17,12,50],
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[32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70],
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[67,26,20,68, 2,62,12,20,95,63,94,39,63, 8,40,91,66,49,94,21],
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[24,55,58, 5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72],
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[21,36,23, 9,75, 0,76,44,20,45,35,14, 0,61,33,97,34,31,33,95],
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[78,17,53,28,22,75,31,67,15,94, 3,80, 4,62,16,14, 9,53,56,92],
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[16,39, 5,42,96,35,31,47,55,58,88,24, 0,17,54,24,36,29,85,57],
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[86,56, 0,48,35,71,89, 7, 5,44,44,37,44,60,21,58,51,54,17,58],
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[19,80,81,68, 5,94,47,69,28,73,92,13,86,52,17,77, 4,89,55,40],
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[ 4,52, 8,83,97,35,99,16, 7,97,57,32,16,26,26,79,33,27,98,66],
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[88,36,68,87,57,62,20,72, 3,46,33,67,46,55,12,32,63,93,53,69],
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[ 4,42,16,73,38,25,39,11,24,94,72,18, 8,46,29,32,40,62,76,36],
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[20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74, 4,36,16],
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[20,73,35,29,78,31,90, 1,74,31,49,71,48,86,81,16,23,57, 5,54],
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[ 1,70,54,71,83,51,54,69,16,92,33,48,61,43,52, 1,89,19,67,48]
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[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],
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[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0],
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[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65],
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[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],
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[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],
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[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],
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[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],
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[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],
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[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],
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[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],
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[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],
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[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57],
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[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],
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[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40],
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[4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],
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[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],
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[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],
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[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16],
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[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54],
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[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48],
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]
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def grid_product(x, y, dx, dy, n):
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result = 1
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for i in range(n):
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@@ -48,7 +49,7 @@ def compute():
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marked in red.
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The product of these numbers is 26 x 63 x 78 x 14 = 1788696.
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What is the greatest product of four adjacent numbers in any direction
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(up, down, left, right, or diagonally) in the 20x20 grid?
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"""
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@@ -59,17 +60,16 @@ def compute():
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for y in range(height):
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for x in range(width):
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if x + adjacent_nums <= width:
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ans = max(grid_product(x, y, 1, 0, adjacent_nums), ans)
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ans = max(grid_product(x, y, 1, 0, adjacent_nums), ans)
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if y + adjacent_nums <= height:
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ans = max(grid_product(x, y, 0, 1, adjacent_nums), ans)
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ans = max(grid_product(x, y, 0, 1, adjacent_nums), ans)
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if x + adjacent_nums <= width and y + adjacent_nums <= height:
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ans = max(grid_product(x, y, 1, 1, adjacent_nums), ans)
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ans = max(grid_product(x, y, 1, 1, adjacent_nums), ans)
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if x - adjacent_nums >= -1 and y + adjacent_nums <= height:
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ans = max(grid_product(x, y, -1, 1, adjacent_nums), ans)
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return ans
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if __name__ == "__main__":
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print(f"Result for Problem 11: {compute()}")
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print(f"Result for Problem 11 is {compute()}")
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