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.
Solution1: 这写的是神马!!!请看solution2
Solution1: 这写的是神马!!!请看solution2
public class Solution {
public int maxArea(int[] height) {
int len = height.length;
int i = 0, j =len - 1;
int left = height[0], right = height[len - 1];
int area = 0, temp = 0;
while(i < j) {
temp = Math.min(left, right) * (j - i);
area = Math.max(temp, area);
if(left < right) {
while(i < j && height[i] <= left) {
i++;
}
if(i < j && height[i] > left)
left = height[i];
}else {
while(i < j && height[j] <= right) {
j--;
}
if(i < j && height[j] > right)
right = height[j];
}
}
return area;
}
}
Solution2: run time complexity is O(n), constant space. 两个指针,从两边往中间扫。夹逼法。
public class Solution {
public int maxArea(int[] height) {
if (height == null || height.length == 0) {
return 0;
}
int left = 0;
int right = height.length - 1;
int max = 0;
while (left < right) {
int h = Math.min(height[left], height[right]);
int area = (right - left) * h;
max = Math.max(max, area);
if (height[left] < height[right]) {
left++;
} else {
right--;
}
}
return max;
}
}

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