From 36c6a4d29b317abc35218055792c72960dbb37ac Mon Sep 17 00:00:00 2001 From: Matheus Muriel Date: Sat, 15 Oct 2022 06:26:15 -0300 Subject: [PATCH] solution: Project Euler Problem 11 (#1172) * Included Project Euler 11 solution * Fix review comments Co-authored-by: Matheus Muriel --- Project-Euler/Problem011.js | 60 +++++++++++++++++++++++++++ Project-Euler/test/Problem011.test.js | 31 ++++++++++++++ 2 files changed, 91 insertions(+) create mode 100644 Project-Euler/Problem011.js create mode 100644 Project-Euler/test/Problem011.test.js diff --git a/Project-Euler/Problem011.js b/Project-Euler/Problem011.js new file mode 100644 index 000000000..4135702c8 --- /dev/null +++ b/Project-Euler/Problem011.js @@ -0,0 +1,60 @@ + +/* + * + * In the 20×20 grid below, four numbers along a diagonal line have been marked in red. + * + * 08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08 + * 49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00 + * 81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65 + * 52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 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 03 45 02 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 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21 + * 24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72 + * 21 36 23 09 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 03 80 04 62 16 14 09 53 56 92 + * 16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57 + * 86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58 + * 19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40 + * 04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66 + * 88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69 + * 04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36 + * 20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16 + * 20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54 + * 01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48 + * + * The product of these numbers is 26 × 63 × 78 × 14 = 1788696. + * + * What is the greatest product of four adjacent numbers in the + * same direction (up, down, left, right, or diagonally) in the 20×20 grid? +*/ + +export function largestProductInAGrid (arr) { + let max = 0 + const k = 4 + + const dx = [1, 0, 1, -1] + const dy = [0, 1, 1, 1] + + for (let y = 0; y < arr.length; y++) { + for (let x = 0; x < arr[y].length; x++) { + for (let d = 0; d < 4; d++) { + let p = 1 + for (let i = 0; i < k; i++) { + p *= get(arr, y + i * dy[d], x + i * dx[d]) + } + max = Math.max(p, max) + } + } + } + return max +} + +function get (arr, y, x) { + if (y >= 0 && y < arr.length && x >= 0 && x < arr[y].length) { + return arr[y][x] + } + + return 0 +} diff --git a/Project-Euler/test/Problem011.test.js b/Project-Euler/test/Problem011.test.js new file mode 100644 index 000000000..921d1c7c3 --- /dev/null +++ b/Project-Euler/test/Problem011.test.js @@ -0,0 +1,31 @@ +import { largestProductInAGrid } from '../Problem011.js' + +const arr = [ + [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] +] + +describe('Checking Largest Product In A Grid', () => { + // Project Euler Condition Check + test('Test Euler Condition', () => { + expect(largestProductInAGrid(arr)).toBe(70600674) + }) +})