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 the line i is at (i, ai) and (i, 0). Find two lines, which, together with the x-axis forms a container, such that the container contains the most water.

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
Example 3:

Input: height = [4,3,2,1,4]
Output: 16
Example 4:

Input: height = [1,2,1]
Output: 2

Constraints:

n == height.length
2 <= n <= 3 104
0 <= height[i] <= 3
104

解答:贪心

image.png
时间复杂度O(n),空间复杂度O(1)

  1. class Solution {
  2. public:
  3. int maxArea(vector<int>& h) {
  4. int res = 0;
  5. for (int i = 0, j = h.size() - 1; i < j;) {
  6. res = max(res, min(h[i], h[j]) * (j - i));
  7. if (h[i] < h[j]) i++;
  8. else j--;
  9. }
  10. return res;
  11. }
  12. };