DISQUERY  Distance Query
English  Vietnamese 
The traffic network in a country consists of N cities (labeled with integers from 1 to N) and N1 roads connecting the cities. There is a unique path between each pair of different cities, and we know the exact length of each road.
Write a program that will, for each of the K given pairs of cities, find the length of the shortest and the length of the longest road on the path between the two cities.
Input
The first line of input contains an integer N, 2 ≤ N ≤ 100 000. Each of the following N1 lines contains three integers A, B and C meaning that there is a road of length C between city A and city B.
The length of each road will be a positive integer less than or equal to 1 000 000.
The next line contains an integer K, 1 ≤ K ≤ 100 000. Each of the following K lines contains two different integers D and E – the labels of the two cities constituting one query.
Output
Each of the K lines of output should contain two integers – the lengths from the task description for the corresponding pair of the cities.
Sample
input: 5 2 3 100 4 3 200 1 5 150 1 3 50 3 2 4 3 5 1 2 output: 100 200 50 150 50 100 input: 7 3 6 4 1 7 1 1 3 2 1 2 6 2 5 4 2 4 4 5 6 4 7 6 1 2 1 3 3 5 output: 2 6 1 4 6 6 2 2 2 6
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刘启鹏:
20100105 12:38:19
remember [20][110000]==>AC [110000][20]==>TLE 

Tony Beta Lambda:
20090622 10:59:01
An O(nlogn) algorithm is needed instead of the O(n(logn)^2) one against the new test data. 

~!(*(@*!@^&:
20090620 23:20:14
Add full test and rejudge. 
Added by:  ~!(*(@*!@^& 
Date:  20090228 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  COI 06 