leetcode Container With Most Water

容器盛水问题解析

最新推荐文章于 2020-08-23 15:53:30 发布

原创最新推荐文章于 2020-08-23 15:53:30 发布 · 932 阅读

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本文探讨了给定一系列坐标点，如何找出两个垂直线段与x轴构成的容器能容纳的最大水量。通过双指针算法高效求解此问题。

Container With Most Water

Total Accepted: 2685 Total Submissions: 9008 My Submissions

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 line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container.

This problem is different from largest rectangle in histogram. It's just a line instead of a histogram. So there is no water.

class Solution {
 public:
  int maxArea(vector<int> &height) {
    int size = height.size(), l = 0, r = size - 1, res = 0;
    if (size == 0)
      return 0;
    while (l < r) {
      if (res < (r - l)*min(height[l],height[r]))
        res = (r - l)*min(height[l],height[r]);
      if (height[l] <= height[r])
        ++l;
      else
        --r;
    } 
    return res;
  }
};