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| 1 | +/** |
| 2 | + * 3394. Check if Grid can be Cut into Sections |
| 3 | + * https://leetcode.com/problems/check-if-grid-can-be-cut-into-sections/ |
| 4 | + * Difficulty: Medium |
| 5 | + * |
| 6 | + * You are given an integer n representing the dimensions of an n x n grid, with the origin at the |
| 7 | + * bottom-left corner of the grid. You are also given a 2D array of coordinates rectangles, where |
| 8 | + * rectangles[i] is in the form [startx, starty, endx, endy], representing a rectangle on the grid. |
| 9 | + * Each rectangle is defined as follows: |
| 10 | + * - (startx, starty): The bottom-left corner of the rectangle. |
| 11 | + * - (endx, endy): The top-right corner of the rectangle. |
| 12 | + * |
| 13 | + * Note that the rectangles do not overlap. Your task is to determine if it is possible to make |
| 14 | + * either two horizontal or two vertical cuts on the grid such that: |
| 15 | + * - Each of the three resulting sections formed by the cuts contains at least one rectangle. |
| 16 | + * - Every rectangle belongs to exactly one section. |
| 17 | + * |
| 18 | + * Return true if such cuts can be made; otherwise, return false. |
| 19 | + */ |
| 20 | + |
| 21 | +/** |
| 22 | + * @param {number} n |
| 23 | + * @param {number[][]} rectangles |
| 24 | + * @return {boolean} |
| 25 | + */ |
| 26 | +var checkValidCuts = function(n, rectangles) { |
| 27 | + return canPartition(rectangles.map(r => [r[0], r[2]])) |
| 28 | + || canPartition(rectangles.map(r => [r[1], r[3]])); |
| 29 | +}; |
| 30 | + |
| 31 | +function canPartition(intervals, cuts = 0) { |
| 32 | + intervals.sort(([start1, end1], [start2, end2]) => start1 - start2 || end2 - end1); |
| 33 | + let maxReach = intervals[0][1]; |
| 34 | + for (let i = 1; i < intervals.length; i++) { |
| 35 | + if (intervals[i][0] >= maxReach && ++cuts === 2) return true; |
| 36 | + maxReach = Math.max(intervals[i][1], maxReach); |
| 37 | + } |
| 38 | + return false; |
| 39 | +} |
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