Wednesday, July 16, 2014

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.

左右两个指针夹逼准则。如果left < right,先记录当前area,left++,反之则right--。因为如果left小的话,如果我们移右指针,结果总比当前area小。
public class Solution {
    //Time: O(n)  Space: O(1)
    public int maxArea(int[] height) {
        if (height == null || height.length <= 1) {
            return 0;
        }
        
        int left = 0;
        int right = height.length - 1;
        int area = 0;
        while (left < right) {
            int h = Math.min(height[left], height[right]);
            area = Math.max(area, h * (right - left));
            if (height[left] == h) {
                left++;
            } else {
                right--;
            }
        }
        return area;
    }
}

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