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.
此题最简单的想法是遍历每种可能。时间复杂度是O(n^2);
更好的一个思路是每次改变容器左右壁的短板,希求能通过提升短板的高度来找到更大的容量。可以结合代码理解思路。
int maxArea(vector<int> &height) { //C++
int begin = 0 ;
int end = height.size()-1;
int max = 0, tmpArea;
while(begin < end){
tmpArea = (end-begin)*((height[begin]>height[end])?height[end]:height[begin]);
if(tmpArea > max){
max = tmpArea;
}
if(height[begin] > height[end])
end--;
else begin++;
}
return max;
}[leetcode]Container With Most Water
原文地址:http://blog.csdn.net/chenlei0630/article/details/41089517