11. Container With Most Water

You are given an integer array `height` of length `n`. There are `n` vertical lines drawn such that the two endpoints of the `ith` line are `(i, 0)` and `(i, height[i])`.

Find two lines that together with the x-axis form a container, such that the container contains the most water.

Return the maximum amount of water a container can store.

Notice that you may not slant the container.

Example 1:

``````**Input:** height = [1,8,6,2,5,4,8,3,7]
**Output:** 49
**Explanation:** The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.
``````

Example 2:

``````**Input:** height = [1,1]
**Output:** 1
``````

Constraints:

• `n == height.length`
• `2 <= n <= 105`
• `0 <= height[i] <= 104`

C++ 解法一：

``````class Solution {
public:
int maxArea(vector<int>& height) {
int res = 0, i = 0, j = height.size() - 1;
while (i < j) {
res = max(res, min(height[i], height[j]) * (j - i));
height[i] < height[j] ? ++i : --j;
}
return res;
}
};
``````

Java 解法一：

``````public class Solution {
public int maxArea(int[] height) {
int res = 0, i = 0, j = height.length - 1;
while (i < j) {
res = Math.max(res, Math.min(height[i], height[j]) * (j - i));
if (height[i] < height[j]) ++i;
else --j;
}
return res;
}
}
``````

C++ 解法二：

``````class Solution {
public:
int maxArea(vector<int>& height) {
int res = 0, i = 0, j = height.size() - 1;
while (i < j) {
int h = min(height[i], height[j]);
res = max(res, h * (j - i));
while (i < j && h == height[i]) ++i;
while (i < j && h == height[j]) --j;
}
return res;
}
};
``````

Java 解法二：

``````public class Solution {
public int maxArea(int[] height) {
int res = 0, i = 0, j = height.length - 1;
while (i < j) {
int h = Math.min(height[i], height[j]);
res = Math.max(res, h * (j - i));
while (i < j && h == height[i]) ++i;
while (i < j && h == height[j]) --j;
}
return res;
}
}
``````

Github 同步地址：

https://github.com/grandyang/leetcode/issues/11

Trapping Rain Water

https://leetcode.com/problems/container-with-most-water/

https://leetcode.com/problems/container-with-most-water/discuss/6090/Simple-and-fast-C%2B%2BC-with-explanation

LeetCode All in One 题目讲解汇总(持续更新中…)

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