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Container With Most Water--排序后递减长度

时间:2018-07-14 13:06:19      阅读:105      评论:0      收藏:0      [点我收藏+]

标签:nts   equal   .so   length   mat   get   and   amp   higher   

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 and n is at least 2.

Solution 1:Sort points by height, then from low to heigth, find the max difference of x-axises which is higher than current, to do this efficiently, remove edges lower or equal to current height.

class Solution {
    
    class p {
        int x,y;
        p(int a, int b) {
            x = a;
            y = b;
        }
    }
    
    public int maxArea(int[] height) {
        int len = height.length;
        p[] ps = new p[len];
        for (int i = 0; i < len; i++) {
            ps[i] = new p(i+1,height[i]);
        }
        Arrays.sort(ps,new Comparator<p>() {
            @Override
            public int compare(p o1, p o2) {
                return o1.y - o2.y;
            }
        });
        int max = 0;
        int leftMax = 0, rightMax = len-1;
        for (int i = 0; i < len-1; i++) {
            int maxl = 0;
            max = Math.max(max,Math.max(ps[i].x-1-leftMax,rightMax+1-ps[i].x)*ps[i].y);
            while (leftMax < rightMax && height[leftMax] <= ps[i].y) {
                leftMax++;
            }
            while (rightMax > leftMax && height[rightMax] <= ps[i].y) {
                rightMax--;
            }
        }
        return max;
    }
}

 

Container With Most Water--排序后递减长度

标签:nts   equal   .so   length   mat   get   and   amp   higher   

原文地址:https://www.cnblogs.com/liudebo/p/9309162.html

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