ZUFEOJ Home ProblemSet Source/Category Contest Status Ranklist F.A.Qs
Login Register

5413: New York Hotel

内存限制：256 MB 时间限制：2 S
题面：传统 评测方式：文本比较 上传者：
提交：6 通过：1
提交提交记录统计Web Board

题目描述

B. New York Hotel
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Think of New York as a rectangular grid consisting of N vertical avenues numerated from 1 to N and M horizontal streets numerated 1 to M. C friends are staying at C hotels located at some street-avenue crossings. They are going to celebrate birthday of one of them in the one of H restaurants also located at some street-avenue crossings. They also want that the maximum distance covered by one of them while traveling to the restaurant to be minimum possible. Help friends choose optimal restaurant for a celebration.
Suppose that the distance between neighboring crossings are all the same equal to one kilometer.
Input
The first line contains two integers N , M− size of the city (1≤N,M≤109). In the next line there is a single integer C (1≤C≤105)− the number of hotels friends stayed at. Following C lines contain descriptions of hotels, each consisting of two coordinates x and y (1≤x≤N, 1≤y≤M). The next line contains an integer H− the number of restaurants (1≤H≤105). Following H lines contain descriptions of restaurants in the same format.
Several restaurants and hotels may be located near the same crossing.
Output
In the first line output the optimal distance. In the next line output index of a restaurant that produces this optimal distance. If there are several possibilities, you are allowed to output any of them.
Examples
Input 
10 10
2
1 1
3 3
2
1 10
4 4
Output 
6
2

输入样例 复制

输出样例 复制

分类标签