Container With Most Water
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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.
这个题目比较简单,常规的思想很容易编写的,所有的情况遍历一遍就行了。但是当边的数量过多的时候,时间过长,毕竟是平方量级的。
class Solution {public: int maxArea(vector<int>& height) { int max=0,h=0; for(int i=0;i<height.size();i++){ for(int j=i+1;j<height.size();j++){ h=height[i]>height[j]?height[j]:height[i]; if(h*(j-i)>max) max=h*(j-i); } } return max; }};
所以,这道题的关键在于如何减小边的选择。因此,从底最宽的情况开始计算,保留高度较高的边,逐渐向中间缩减。就可以将复杂度降为一次。代码如下:
class Solution {public: int maxArea(vector<int>& height) { int max=0,h=0; int l=0,r=height.size()-1; while(l<r){ h=height[l]<height[r]?height[l]:height[r]; if(h*(r-l)>max) max=h*(r-l); if(h==height[l]) l++; else if(h==height[r]) r--; } return max; }};
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- Container With Most Water
- Container with most water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
- Container With Most Water
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