Container With Most Water

medium Points: 100

Problem Statement

Given n non-negative integers a1, a2, ..., an , where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of the line i is at (i, ai) and (i, 0). Find two lines, which together with the x-axis forms a container, such that the container contains the most water.

Constraints

  • 1 ≤ n ≤ 105
  • Input is a list of integers

Examples

Input: [2, 7, 11, 15], target = 9
Output: [0, 1]

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