Number of Visible People in a Queue

Statement

You are given an array heights representing n people standing in a queue, numbered from 0 to n - 1 from left to right. Each element heights[i] denotes the height of the person at position i. All heights are distinct.

A person at position i can see a person at position j (i < j) to their right if every person between them is shorter than both heights[i] and heights[j].

Formally, person i can see person j if:

• $i < j$ and $min(heights[i], heights[j]) > max(heights[i+1], heights[i+2], ..., heights[j-1])$

Your task is to return an array answer of length n, where answer[i] is the number of people that person i can see to their right in the queue.

Constraints:

• $1 \leq$ n $\leq 1000$

• $1 \leq$ heights[i] $\leq 1000$

• All elements in heights are unique.

Examples