From 32b4d6b4af9215180752118be274fb6711a25310 Mon Sep 17 00:00:00 2001 From: steven-y-e Date: Mon, 31 Jul 2023 15:06:56 -0400 Subject: [PATCH] feat(solution): problem #11 --- solutions/011/largestproductingrid.py | 54 +++++++++++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 solutions/011/largestproductingrid.py diff --git a/solutions/011/largestproductingrid.py b/solutions/011/largestproductingrid.py new file mode 100644 index 0000000..74355cb --- /dev/null +++ b/solutions/011/largestproductingrid.py @@ -0,0 +1,54 @@ +dataTable = [ + [ 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] +] + +greatestProduct = 0 + +# horizontal +for i in range(len(dataTable)): + for j in range(len(dataTable) - 3): + currentProduct = dataTable[i][j] * dataTable[i][j+1] * dataTable[i][j+2] * dataTable[i][j+3] + if currentProduct > greatestProduct: + greatestProduct = currentProduct + +# vertical +for i in range(len(dataTable) - 3): + for j in range(len(dataTable)): + currentProduct = dataTable[i][j] * dataTable[i+1][j] * dataTable[i+2][j] * dataTable[i+3][j] + if currentProduct > greatestProduct: + greatestProduct = currentProduct + +# diagonal (down-right) +for i in range(len(dataTable) - 3): + for j in range(len(dataTable) - 3): + currentProduct = dataTable[i][j] * dataTable[i+1][j+1] * dataTable[i+2][j+2] * dataTable[i+3][j+3] + if currentProduct > greatestProduct: + greatestProduct = currentProduct + +# diagonal (up-right) +for i in range(3, len(dataTable)): + for j in range(len(dataTable) - 3): + currentProduct = dataTable[i][j] * dataTable[i-1][j+1] * dataTable[i-2][j+2] * dataTable[i-3][j+3] + if currentProduct > greatestProduct: + greatestProduct = currentProduct + +print("The greatest product of four adjacent numbers in the same direction in the 20x20 grid is: " + str(greatestProduct)) \ No newline at end of file