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🔥Container With Most Water: Maximum AreaMedium
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Container With Most Water: Maximum Area

Targeted in FAANG & Tech OA:GoogleAmazonMicrosoftSwiggy
Real-World Engineering Context
Resource allocation in cloud server auto-scaling bandwidth envelopes and histogram capacity planning.
You are given an integer array `height` of length `n`. There are `n` vertical lines drawn such that the two endpoints of the `i`th line are `(i, 0)` and `(i, height[i])`. Find two lines that together with the x-axis form a container, such that the container contains the most water. Return the maximum amount of water a container can store.

Sample Test Cases

Input: [[1,8,6,2,5,4,8,3,7]]
Expected: 49
Input: [[1,1]]
Expected: 1
Input: [[4,3,2,1,4]]
Expected: 16

Constraints

  • n == height.length
  • 2 <= n <= 10^5
  • 0 <= height[i] <= 10^4
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