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Sum of Beauty in the Array

You are given a 0-indexed integer array nums.

You are given a 0-indexed integer array nums. For each index i (1 <= i <= nums.length - 2) the beauty of nums[i] equals:

Return the sum of beauty of all nums[i] where 1 <= i <= nums.length - 2.

Sum of Beauty in the Array diagram

Example 1

Input: nums = [1,2,3]

Output: 2

Explanation: For each index i in the range 1 <= i <= 1: - The beauty of nums[1] equals 2.

Example 2

Input: nums = [2,4,6,4]

Output: 1

Explanation: For each index i in the range 1 <= i <= 2: - The beauty of nums[1] equals 1. - The beauty of nums[2] equals 0.

Example 3

Input: nums = [3,2,1]

Output: 0

Explanation: For each index i in the range 1 <= i <= 1: - The beauty of nums[1] equals 0.

Constraints

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

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