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HardArraysFree practice

Trapping Rain Water

Asked atgoogleamazonmetamicrosoftgoldman-sachsapplebloomberg

01 · Problem

Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it can trap after raining.

02 · Examples

Example 01
Input
height = [0,1,0,2,1,0,1,3,2,1,2,1]
Output
6

Water fills the valleys between bars. The total trapped water is 6 units.

Example 02
Input
height = [4,2,0,3,2,5]
Output
9

Water fills the gaps between the tall bars on each side, trapping 9 units total.

Example 03
Input
height = [1,0,1]
Output
1

One unit of water is trapped between the two bars of height 1.

03 · Constraints

  • 01n == height.length
  • 021 <= n <= 2 * 104
  • 030 <= height[i] <= 105

04 · Optimal complexity

Time
O(n)
Space
O(1)
05 · Two ways to work on it

Practice it alone or rehearse it as an interview.

Practice Mode gives you an editor and test runs, nothing else. AI Interview Mode puts a voice interviewer on the other side, adds a clock, and ends with a scored summary of the round.