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 problem involves finding the length of the longest strictly increasing subsequence in an array of integers.

Use dynamic programming to solve this problem efficiently.
Iterate through the array and keep track of the longest increasing subsequence ending at each element.
Update the length of the longest increasing subsequence as you iterate through the array.
Example: For input array [1, 2, 3, 4], the longest increasing subsequence is [1, 2, 3, 4] with a length of 4.