|
| 1 | +/** |
| 2 | + * 840. Magic Squares In Grid |
| 3 | + * https://leetcode.com/problems/magic-squares-in-grid/ |
| 4 | + * Difficulty: Medium |
| 5 | + * |
| 6 | + * A 3 x 3 magic square is a 3 x 3 grid filled with distinct numbers from 1 to 9 such that each row, |
| 7 | + * column, and both diagonals all have the same sum. |
| 8 | + * |
| 9 | + * Given a row x col grid of integers, how many 3 x 3 magic square subgrids are there? |
| 10 | + * |
| 11 | + * Note: while a magic square can only contain numbers from 1 to 9, grid may contain numbers up |
| 12 | + * to 15. |
| 13 | + */ |
| 14 | + |
| 15 | +/** |
| 16 | + * @param {number[][]} grid |
| 17 | + * @return {number} |
| 18 | + */ |
| 19 | +var numMagicSquaresInside = function(grid) { |
| 20 | + const rows = grid.length; |
| 21 | + const cols = grid[0].length; |
| 22 | + |
| 23 | + if (rows < 3 || cols < 3) return 0; |
| 24 | + |
| 25 | + let result = 0; |
| 26 | + for (let r = 0; r <= rows - 3; r++) { |
| 27 | + for (let c = 0; c <= cols - 3; c++) { |
| 28 | + if (isMagicSquare(grid, r, c)) result++; |
| 29 | + } |
| 30 | + } |
| 31 | + |
| 32 | + return result; |
| 33 | +}; |
| 34 | + |
| 35 | +function isMagicSquare(grid, r, c) { |
| 36 | + if (grid[r + 1][c + 1] !== 5) return false; |
| 37 | + |
| 38 | + const cells = [ |
| 39 | + grid[r][c], grid[r][c + 1], grid[r][c + 2], |
| 40 | + grid[r + 1][c], grid[r + 1][c + 1], grid[r + 1][c + 2], |
| 41 | + grid[r + 2][c], grid[r + 2][c + 1], grid[r + 2][c + 2] |
| 42 | + ]; |
| 43 | + |
| 44 | + if (!cells.every(val => val >= 1 && val <= 9) || new Set(cells).size !== 9) return false; |
| 45 | + |
| 46 | + return ( |
| 47 | + grid[r][c] + grid[r][c + 1] + grid[r][c + 2] === 15 |
| 48 | + && grid[r + 1][c] + grid[r + 1][c + 1] + grid[r + 1][c + 2] === 15 |
| 49 | + && grid[r + 2][c] + grid[r + 2][c + 1] + grid[r + 2][c + 2] === 15 |
| 50 | + && grid[r][c] + grid[r + 1][c] + grid[r + 2][c] === 15 |
| 51 | + && grid[r][c + 1] + grid[r + 1][c + 1] + grid[r + 2][c + 1] === 15 |
| 52 | + && grid[r][c + 2] + grid[r + 1][c + 2] + grid[r + 2][c + 2] === 15 |
| 53 | + && grid[r][c] + grid[r + 1][c + 1] + grid[r + 2][c + 2] === 15 |
| 54 | + && grid[r][c + 2] + grid[r + 1][c + 1] + grid[r + 2][c] === 15 |
| 55 | + ); |
| 56 | +} |
0 commit comments