Number of Longest Increasing Subsequence

Given an integer array nums, return the number of longest increasing subsequences.

Notice that the sequence has to be strictly increasing.

Example 1
Inputnums = [1,3,5,4,7]
Output2
The two longest increasing subsequences are [1, 3, 4, 7] and [1, 3, 5, 7].
Example 2
Inputnums = [2,2,2,2,2]
Output5
The length of the longest increasing subsequence is 1, and there are 5 increasing subsequences of length 1, so output 5.

Constraints

  • 1 <= nums.length <= 2000
  • -10^6 <= nums[i] <= 10^6
  • The answer is guaranteed to fit inside a 32-bit integer.

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