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Subarrays Distinct Element Sum of Squares II

You are given a 0-indexed integer array nums.

You are given a 0-indexed integer array nums.

The distinct count of a subarray of nums is defined as:

Return the sum of the squares of distinct counts of all subarrays of nums.

Since the answer may be very large, return it modulo 10^9 + 7.

A subarray is a contiguous non-empty sequence of elements within an array.

Subarrays Distinct Element Sum of Squares II diagram

Example 1

Input: nums = [1,2,1]

Output: 15

Explanation: Six possible subarrays are: [1]: 1 distinct value [2]: 1 distinct value [1]: 1 distinct value [1,2]: 2 distinct values [2,1]: 2 distinct values [1,2,1]: 2 distinct values The sum of the squares of the distinct counts in all subarrays is equal to 12 + 12 + 12 + 22 + 22 + 22 = 15.

Example 2

Input: nums = [2,2]

Output: 3

Explanation: Three possible subarrays are: [2]: 1 distinct value [2]: 1 distinct value [2,2]: 1 distinct value The sum of the squares of the distinct counts in all subarrays is equal to 12 + 12 + 12 = 3.

Constraints

  • 1 <= nums.length <= 10^5
  • 1 <= nums[i] <= 10^5

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