diff --git a/src/Python/Problems001-050/Problem011.py b/src/Python/Problems001-050/Problem011.py index adce8c7..6e28521 100644 --- a/src/Python/Problems001-050/Problem011.py +++ b/src/Python/Problems001-050/Problem011.py @@ -1,4 +1,4 @@ -#!/usr/bin/env python3 +#!/usr/bin/env python """ Created on 07 Jul 2021 @@ -12,28 +12,29 @@ https://projecteuler.net/problem=11 from utils import timeit 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] + [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 grid_product(x, y, dx, dy, n): result = 1 for i in range(n): @@ -48,7 +49,7 @@ def compute(): marked in red. The product of these numbers is 26 x 63 x 78 x 14 = 1788696. - + What is the greatest product of four adjacent numbers in any direction (up, down, left, right, or diagonally) in the 20x20 grid? """ @@ -59,17 +60,16 @@ def compute(): for y in range(height): for x in range(width): if x + adjacent_nums <= width: - ans = max(grid_product(x, y, 1, 0, adjacent_nums), ans) + ans = max(grid_product(x, y, 1, 0, adjacent_nums), ans) if y + adjacent_nums <= height: - ans = max(grid_product(x, y, 0, 1, adjacent_nums), ans) + ans = max(grid_product(x, y, 0, 1, adjacent_nums), ans) if x + adjacent_nums <= width and y + adjacent_nums <= height: - ans = max(grid_product(x, y, 1, 1, adjacent_nums), ans) + ans = max(grid_product(x, y, 1, 1, adjacent_nums), ans) if x - adjacent_nums >= -1 and y + adjacent_nums <= height: ans = max(grid_product(x, y, -1, 1, adjacent_nums), ans) - + return ans if __name__ == "__main__": - - print(f"Result for Problem 11: {compute()}") \ No newline at end of file + print(f"Result for Problem 11 is {compute()}")