[TOC]
P011 Container With Most Water
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.
思路分析
- 类似于二分查找的策略
- 从两头开始逐渐向中间靠拢
代码
java
public class Solution011 {
public int maxArea(int[] height) {
if (height == null || height.length < 2)
return 0;
int max = 0;
int left = 0;
int right = height.length - 1;
while (left < right) {
int tmp = (right - left) * Math.min(height[left], height[right]);
if (tmp > max)
max = tmp;
if (height[left] < height[right])
left++;
else
right--;
}
return max;
}
}
python
class Solution011(object):
def maxArea(self, height):
"""
:type height: List[int]
:rtype: int
"""
if not height or len(height) < 2:
return 0
ret = 0
l = 0;r = len(height) - 1;
while l < r:
tmp = (r - l) * min(height[l], height[r])
if tmp > ret:ret = tmp
if height[l] < height[r]:
l += 1
else:
r -= 1
return ret
