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 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:
2 <= height.length <= 3 * 104 0 <= height[i] <= 3 * 104
public class Solution {
public int MaxArea(int[] height) {
int max = 0;
int i=0;
int j = height.Length-1;
while(i<j){
max = Math.Max(max, Math.Min(height[i],height[j])*(j-i));
if(height[i]<height[j]){
i++;
}
else{
j--;
}
}
return max;
}
}Time Complexity: O(n)
Space Complexity: O(1)
