A9977. Duff in the Army
编程题
普及/提高-
知识点
题目描述
Recently Duff has been a soldier in the army. Malek is her commander.
Their country, Andarz Gu has $n$ cities (numbered from $1$ to $n$ ) and $n-1$ bidirectional roads. Each road connects two different cities. There exist a unique path between any two cities.
There are also $m$ people living in Andarz Gu (numbered from $1$ to $m$ ). Each person has and ID number. ID number of $i-th$ person is $i$ and he/she lives in city number $c_{i}$ . Note that there may be more than one person in a city, also there may be no people living in the city.
Malek loves to order. That's why he asks Duff to answer to $q$ queries. In each query, he gives her numbers $v,u$ and $a$ .
To answer a query:
Assume there are $x$ people living in the cities lying on the path from city $v$ to city $u$ . Assume these people's IDs are $p_{1},p_{2},...,p_{x}$ in increasing order.
If $k=min(x,a)$ , then Duff should tell Malek numbers $k,p_{1},p_{2},...,p_{k}$ in this order. In the other words, Malek wants to know $a$ minimums on that path (or less, if there are less than $a$ people).
Duff is very busy at the moment, so she asked you to help her and answer the queries.
Their country, Andarz Gu has $n$ cities (numbered from $1$ to $n$ ) and $n-1$ bidirectional roads. Each road connects two different cities. There exist a unique path between any two cities.
There are also $m$ people living in Andarz Gu (numbered from $1$ to $m$ ). Each person has and ID number. ID number of $i-th$ person is $i$ and he/she lives in city number $c_{i}$ . Note that there may be more than one person in a city, also there may be no people living in the city.
Malek loves to order. That's why he asks Duff to answer to $q$ queries. In each query, he gives her numbers $v,u$ and $a$ .
To answer a query:
Assume there are $x$ people living in the cities lying on the path from city $v$ to city $u$ . Assume these people's IDs are $p_{1},p_{2},...,p_{x}$ in increasing order.
If $k=min(x,a)$ , then Duff should tell Malek numbers $k,p_{1},p_{2},...,p_{k}$ in this order. In the other words, Malek wants to know $a$ minimums on that path (or less, if there are less than $a$ people).
Duff is very busy at the moment, so she asked you to help her and answer the queries.
输入格式
The first line of input contains three integers, $n,m$ and $q$ ( $1<=n,m,q<=10^{5}$ ).
The next $n-1$ lines contain the roads. Each line contains two integers $v$ and $u$ , endpoints of a road ( $1<=v,u<=n$ , $v≠u$ ).
Next line contains $m$ integers $c_{1},c_{2},...,c_{m}$ separated by spaces ( $1<=c_{i}<=n$ for each $1<=i<=m$ ).
Next $q$ lines contain the queries. Each of them contains three integers, $v,u$ and $a$ ( $1<=v,u<=n$ and $1<=a<=10$ ).
The next $n-1$ lines contain the roads. Each line contains two integers $v$ and $u$ , endpoints of a road ( $1<=v,u<=n$ , $v≠u$ ).
Next line contains $m$ integers $c_{1},c_{2},...,c_{m}$ separated by spaces ( $1<=c_{i}<=n$ for each $1<=i<=m$ ).
Next $q$ lines contain the queries. Each of them contains three integers, $v,u$ and $a$ ( $1<=v,u<=n$ and $1<=a<=10$ ).
输出格式
For each query, print numbers $k,p_{1},p_{2},...,p_{k}$ separated by spaces in one line.
输入输出样例
输入 #1
5 4 5 1 3 1 2 1 4 4 5 2 1 4 3 4 5 6 1 5 2 5 5 10 2 3 3 5 3 1
输出 #1
1 3 2 2 3 0 3 1 2 4 1 2
说明/提示
Graph of Andarz Gu in the sample case is as follows (ID of people in each city are written next to them):
