[LeetCode]Container With Most Water
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题目:
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 and n is at least 2.
分析:
面积 = 底 * 高 =(right - left) * min(a[left ] , a[right ]) (此处right > left)
首先让底最大即left = 0,right = len - 1,把计算出来的面积的保存在ans里面,ans始终用来存储已经计算出来的面积的最大值,然后不断地把底缩小,找更大的面积。
若a[left] < a[right]:
说明要找更大的面积,对于底不变,我们现在必须要找高更大的值,也就是两个高中较小的那个值必须去找更大的值,才能使面积变大
所以此时 left ++
反之同理
class Solution {public: int maxArea(vector<int>& height) { int len = height.size(); if(len < 2) return false; int ans = 0; //用来记录已经算出的最大的面积 //面积 = 底 * 高=(right - left)* min(a[i],a[j]) int left = 0; int right = len - 1; while(left < right) { ans = max(ans, (right - left) * min(height[left], height[right])); if(height[left] < height[right]) { left++; } else { right--; } } return ans; }};
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