Here, We see Longest Increasing Subsequence LeetCode Solution. This Leetcode problem is done in many programming languages like C++, Java, JavaScript, Python, etc. with different approaches.

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Longest Increasing Subsequence LeetCode Solution

Problem Statement

Given an integer array nums, return the length of the longest strictly increasing subsequence.

Example 1:
Input: nums = [10,9,2,5,3,7,101,18]
Output: 4
Explanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4.

Example 2:
Input: nums = [0,1,0,3,2,3]
Output: 4

Example 3:
Input: nums = [7,7,7,7,7,7,7]
Output: 1

Longest Increasing Subsequence Leetcode Solution C++

class Solution {
public:
    int lengthOfLIS(vector<int>& nums) {
        vector<int> res;
        for(int i=0; i<nums.size(); i++) {
            auto it = std::lower_bound(res.begin(), res.end(), nums[i]);
            if(it==res.end()) res.push_back(nums[i]);
            else *it = nums[i];
        }
        return res.size();
    }
};Code language: PHP (php)

Longest Increasing Subsequence Leetcode Solution Java

public class Solution {
    public int lengthOfLIS(int[] nums) {
        if (nums == null || nums.length == 0) {
            return 0;
        }
        int n = nums.length;
        int[] dp = new int[n];
        Arrays.fill(dp, 1);
        for (int i = 1; i < n; ++i) {
            for (int j = 0; j < i; ++j) {
                if (nums[i] > nums[j]) {
                    dp[i] = Math.max(dp[i], dp[j] + 1);
                }
            }
        }
        int maxLength = Arrays.stream(dp).max().orElse(0);
        return maxLength;
    }
}Code language: PHP (php)

Longest Increasing Subsequence Solution JavaScript

var lengthOfLIS = function(nums) {
    if (!nums || nums.length === 0) {
        return 0;
    }
    const n = nums.length;
    const dp = new Array(n).fill(1);
    for (let i = 1; i < n; ++i) {
        for (let j = 0; j < i; ++j) {
            if (nums[i] > nums[j]) {
                dp[i] = Math.max(dp[i], dp[j] + 1);
            }
        }
    }
    return Math.max(...dp);
};Code language: JavaScript (javascript)

Longest Increasing Subsequence Solution Python

class Solution(object):
    def lengthOfLIS(self, nums):
        if not nums:
            return 0
        n = len(nums)
        dp = [1] * n
        for i in range(1, n):
            for j in range(i):
                if nums[i] > nums[j]:
                    dp[i] = max(dp[i], dp[j] + 1)
        return max(dp)