leecode/backlog/300.longest-increasing-subsequence.js
2020-05-22 18:17:19 +08:00

46 lines
1.3 KiB
JavaScript
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

/*
* @lc app=leetcode id=300 lang=javascript
*
* [300] Longest Increasing Subsequence
*/
/**
* @param {number[]} nums
* @return {number}
*/
var lengthOfLIS = function(nums) {
// 时间复杂度O(n^2)
// if (nums.length === 0) return 0;
// const dp = Array(nums.length).fill(1);
// let max = 1;
// for (let i = 0; i < nums.length; i++) {
// for (let j = 0; j < i; j++) {
// if (nums[i] > nums[j]) {
// dp[i] = Math.max(dp[j] + 1, dp[i]);
// }
// max = Math.max(max, dp[i]);
// }
// }
// return max;
// [ 10, 9, 2, 5, 3, 7, 101, 18 ]
// [ 2, 3, 5, 7, 9, 10, 18, 101 ]
// 参考: https://leetcode.com/problems/longest-increasing-subsequence/discuss/74824/JavaPython-Binary-search-O(nlogn)-time-with-explanation
// const tails = [];
// for (let i = 0; i < nums.length; i++) {
// let left = 0;
// let right = tails.length;
// while (left < right) {
// const mid = left + (right - left) / 2; // 防止溢出
// if (tails[mid] < nums[i]) left = mid + 1;
// else right = mid;
// }
// // 说明nums[i] 比如tails中所有数字都大我们直接push
// if (right === tails.length) tails.push(nums[i]);
// else tails[right] = nums[i]; // 否则我们修改tails[right]
// }
// return tails.length;
};