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Solution: Number of Visible People in a Queue

Explore how to use a monotonic decreasing stack to determine how many people each individual can see to their right in a queue based on height. Understand the problem constraints, implement an O(n) time complexity solution, and grasp the stack operations essential for similar coding interview challenges.

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<ji < j and min(heights[i],heights[j])>max(heights[i+1],heights[i+2],...,heights[j1]) ...