Description

Input

The first line of the input contains three integers $n$, $m$ and $q$ ($2 \le n \le 10^5$, $1 \le m,q \le 10^5$).

The $i$-th of the following $n-1$ lines contains two integers $u_i, v_i$ and a lowercase Latin letter $c_i$ ($1 \le u_i, v_i \le n$, $u_i \neq v_i$), denoting the edge between nodes $u_i, v_i$ with a character $c_i$ on it.

It's guaranteed that these edges form a tree.

The following $m$ lines contain the strings consisting of lowercase Latin letters. The total length of those strings does not exceed $10^5$.

Then $q$ lines follow, each containing four integers $u$, $v$, $l$ and $r$ ($1 \le u,v \le n$, $u \neq v$, $1 \le l \le r \le m$), denoting the queries.

Output

For each query print a single integer — the answer to the query.

2 5 3
1 2 a
aab
abab
aaa
b
a
2 1 1 5
1 2 1 3
2 1 3 5

8
7
4

9 5 6
1 2 a
2 7 c
1 3 b
3 4 b
4 6 b
3 5 a
5 8 b
5 9 c
ababa
cabbb
bac
bbbac
abacaba
2 7 1 4
2 5 1 5
6 3 4 4
6 9 4 5
5 7 3 5
5 3 1 5

3
4
2
1
1
10