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?
Can we use LIS to find the count of all increasing subsequences as well?
Yes, we can. By using the length of the LIS, we can calculate the count of all increasing subsequences using the formula C(n,1) + C(n,2) + … + C(n,k) where k is the length of the LIS and C(n,k) denotes the number of combinations of n items taken k at a time.