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add solution for #986 Interval List Intersections.
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# Interval List Intersections | ||
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LeetCode #: [986](https://leetcode.com/problems/interval-list-intersections/) | ||
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Difficulty: Medium | ||
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Topics: Two Pointers. | ||
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## Problem | ||
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Given two lists of closed intervals, each list of intervals is pairwise disjoint and in sorted order. | ||
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Return the intersection of these two interval lists. | ||
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(Formally, a closed interval `[a, b]` (with `a <= b`) denotes the set of real numbers `x` with `a <= x <= b`. The intersection of two closed intervals is a set of real numbers that is either empty, or can be represented as a closed interval. For example, the intersection of [1, 3] and [2, 4] is [2, 3].) | ||
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Example 1: | ||
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```text | ||
Input: A = [[0,2],[5,10],[13,23],[24,25]], B = [[1,5],[8,12],[15,24],[25,26]] | ||
Output: [[1,2],[5,5],[8,10],[15,23],[24,24],[25,25]] | ||
Reminder: The inputs and the desired output are lists of Interval objects, and not arrays or lists. | ||
``` | ||
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Note: | ||
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- `0 <= A.length < 1000` | ||
- `0 <= B.length < 1000` | ||
- `0 <= A[i].start, A[i].end, B[i].start, B[i].end < 10^9` | ||
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NOTE: input types have been changed on April 15, 2019. Please reset to default code definition to get new method signature. | ||
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## Complexity Analysis | ||
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Assume m is the length of array A and n is the length of array B. | ||
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Time complexity: O(m+n) | ||
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Space complexity: O(1) (excluding the result output array) |
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problems/interval-list-intersections/intervalIntersection.js
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/** | ||
* @param {number[][]} A | ||
* @param {number[][]} B | ||
* @return {number[][]} | ||
*/ | ||
const intervalIntersection = function (A, B) { | ||
const result = [] | ||
let i = 0 | ||
let j = 0 | ||
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while (i < A.length && j < B.length) { | ||
const lo = Math.max(A[i][0], B[j][0]) | ||
const hi = Math.min(A[i][1], B[j][1]) | ||
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if (lo <= hi) { | ||
result.push([lo, hi]) | ||
} | ||
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if (A[i][1] < B[j][1]) { | ||
i++ | ||
} else { | ||
j++ | ||
} | ||
} | ||
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return result | ||
} | ||
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module.exports = intervalIntersection |
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problems/interval-list-intersections/intervalIntersection.test.js
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const intervalIntersection = require('./intervalIntersection') | ||
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test('Example 1', () => { | ||
const A = [[0, 2], [5, 10], [13, 23], [24, 25]] | ||
const B = [[1, 5], [8, 12], [15, 24], [25, 26]] | ||
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const result = intervalIntersection(A, B) | ||
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expect(result).toStrictEqual([ | ||
[1, 2], [5, 5], [8, 10], [15, 23], [24, 24], [25, 25] | ||
]) | ||
}) |