The conversation between human and AI assistant.
Given an array of N integers, how can we find the number of all increasing subsequences in O(N*Log N) time?
Okay, that makes sense. Are there any other algorithms that can achieve similar time complexity?
Yes, there is another algorithm called Longest Increasing Subsequence (LIS) that also has a time complexity of O(N*Log N). However, it provides us with the length of the longest increasing subsequence in the array rather than the count of all increasing subsequences.