Whoa! You did a great job helping Team Rocket who managed to capture all the Pokemons sent by Bash. Meowth, part of Team Rocket, having already mastered the human language, now wants to become a master in programming as well. He agrees to free the Pokemons if Bash can answer his questions.
Initially, Meowth gives Bash a weighted tree containing n nodes and a sequence a1,a2...,an which is a permutation of 1,2,...,n. Now, Mewoth makes q queries of one of the following forms:
Help Bash to answer the questions!
The first line contains two integers n and q (1≤n≤2·105, 1≤q≤2·105)− the number of nodes in the tree and the number of queries, respectively.
The next line contains n space-separated integers− the sequence a1,a2,...,an which is a permutation of 1,2,...,n.
Each of the next n-1 lines contain three space-separated integers u, v, and w denoting that there exists an undirected edge between node u and node v of weight w, (1≤u,v≤n, u≠v, 1≤w≤106). It is guaranteed that the given graph is a tree.
Each query consists of two lines. First line contains single integer t, indicating the type of the query. Next line contains the description of the query:
The ansi is the answer for the i-th query, assume that ans0=0. If the i-th query is of type 2 then ansi = ansi-1. It is guaranteed that:
The operation means bitwise exclusive OR.
For each query of type 1, output a single integer in a separate line, denoting the answer to the query.
5 5
4 5 1 3 2
4 2 4
1 3 9
4 1 4
4 5 2
1
1 5 4
1
22 20 20
2
38
2
39
1
36 38 38
23
37
28
In the sample, the actual queries are the following: