Longest Increasing Subsequence Problem Statement

Given an array of integers with 'N' elements, determine the length of the longest subsequence where each element is greater than the previous element. This subsequence must be in strictly increasing order.

Example:

Input:

N = 4
array = [1, 2, 3, 4]

Output:

4

Explanation:

The longest strictly increasing subsequence is the array itself, [1, 2, 3, 4], which has a length of 4.

Constraints:

1

Question

Longest Increasing Subsequence Problem Statement

Given an array of integers with 'N' elements, determine the length of the longest subsequence where each element is greater than the previous element. This subsequence must be in strictly increasing order.

Example:

Input:

N = 4
array = [1, 2, 3, 4]

Output:

Explanation:

The longest strictly increasing subsequence is the array itself, [1, 2, 3, 4], which has a length of 4.

Constraints:

1 <= N <= 10^5
-10^5 <= element <= 10^5
Time Limit: 1 second

Note:

You do not need to print anything; it has already been taken care of. Just implement the given functions.

Accepted Answer

The task is to find the length of the longest increasing subsequence in a given array.

Iterate through the array and keep track of the length of the longest increasing subsequence seen so far.
Use dynamic programming to solve the problem efficiently.
The time complexity of the solution should be O(N^2) or better.
Consider edge cases such as an empty array or an array with only one element.

Accepted Answer

To find the largest increasing subsequence