Problem: The New Year holidays are over, but Resha doesn't want to throw away the New Year tree. He invited his best friends Kerim and Gural to help him to redecorate the New Year tree.

The New Year tree is an undirected tree with n vertices and root in the vertex 1.

You should process the queries of the two types:

  1. Change the colours of all vertices in the subtree of the vertex v to the colour c. 
  2. Find the number of different colours in the subtree of the vertex v. 

Input

The first line contains two integers n, m (1 ≤ n, m ≤ 4·105) — the number of vertices in the tree and the number of the queries.

The second line contains n integers ci (1 ≤ ci ≤ 60) — the colour of the i-th vertex.

Each of the next n - 1 lines contains two integers xj, yj (1 ≤ xj, yj ≤ n) — the vertices of the j-th edge. It is guaranteed that you are given correct undirected tree.

The last m lines contains the description of the queries. Each description starts with the integer tk (1 ≤ tk ≤ 2) — the type of the k-th query. For the queries of the first type then follows two integers vk, ck (1 ≤ vk ≤ n, 1 ≤ ck ≤ 60) — the number of the vertex whose subtree will be recoloured with the colour ck. For the queries of the second type then follows integer vk (1 ≤ vk ≤ n) — the number of the vertex for which subtree you should find the number of different colours.

Output

For each query of the second type print the integer a — the number of different colours in the subtree of the vertex given in the query.

Each of the numbers should be printed on a separate line in order of query appearing in the input.

Examples

Input

7 10
1 1 1 1 1 1 1
1 2
1 3
1 4
3 5
3 6
3 7
1 3 2
2 1
1 4 3
2 1
1 2 5
2 1
1 6 4
2 1
2 2
2 3


Output

2
3
4
5
1
2


Input

23 30
1 2 2 6 5 3 2 1 1 1 2 4 5 3 4 4 3 3 3 3 3 4 6
1 2
1 3
1 4
2 5
2 6
3 7
3 8
4 9
4 10
4 11
6 12
6 13
7 14
7 15
7 16
8 17
8 18
10 19
10 20
10 21
11 22
11 23
2 1
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 4
1 12 1
1 13 1
1 14 1
1 15 1
1 16 1
1 17 1
1 18 1
1 19 1
1 20 1
1 21 1
1 22 1
1 23 1
2 1
2 5
2 6
2 7
2 8
2 9
2 10
2 11
2 4


Output

6
1
3
3
2
1
2
3
5
5
1
2
2
1
1
1
2
3

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public final class new_year_tree
{
    static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	static FastScanner sc=new FastScanner(br);
    static PrintWriter out=new PrintWriter(System.out);
	static Random rnd=new Random();
	static ArrayList<Integer>[] al;
	static int[] a,tin,tout,tour,lazy;
	static long[] tree;
	static int time=0;
	
	static void dfs(int u,int p)
	{
		tour[time]=u;tin[u]=time++;
		for(int x:al[u])
		{
			if(x!=p)
			{
				dfs(x,u);
			}
		}
		tout[u]=time-1;
	}
	
	static void build(int node,int s,int e)
	{
		if(s>e)
		{
			return;
		}
		if(s==e)
		{
			tree[node]=1L<<a[tour[s]];
		}
		else
		{
			int mid=(s+e)>>1;
			build(node<<1,s,mid);build(node<<1|1,mid+1,e);
			tree[node]=tree[node<<1]|tree[node<<1|1];
		}
	}
	
	static void update(int node,int s,int e,int l,int r,int val)
	{
		if(lazy[node]!=0)
		{
			tree[node]=1L<<lazy[node];
			if(s!=e)
			{
				lazy[node<<1]=lazy[node];lazy[node<<1|1]=lazy[node];
			}
			lazy[node]=0;
		}
		if(s>e || l>e || r<s)
		{
			return;
		}
		if(l<=s && r>=e)
		{
			tree[node]=(1L<<val);
			if(s!=e)
			{
				lazy[node<<1]=val;lazy[node<<1|1]=val;
			}
		}
		else
		{
			int mid=(s+e)>>1;
			update(node<<1,s,mid,l,r,val);update(node<<1|1,mid+1,e,l,r,val);
			tree[node]=tree[node<<1]|tree[node<<1|1];
		}
	}
	
	static long query(int node,int s,int e,int l,int r)
	{
		if(lazy[node]!=0)
		{
			tree[node]=1L<<lazy[node];
			if(s!=e)
			{
				lazy[node<<1]=lazy[node];lazy[node<<1|1]=lazy[node];
			}
			lazy[node]=0;
		}
		if(s>e || l>e || r<s)
		{
			return 0;
		}
		if(l<=s && r>=e)
		{
			return tree[node];
		}
		else
		{
			int mid=(s+e)>>1;
			long val1=query(node<<1,s,mid,l,r),val2=query(node<<1|1,mid+1,e,l,r);
			return (val1|val2);
		}
	}
	
	@SuppressWarnings("unchecked")
    public static void main(String args[]) throws Exception
    {
		int n=sc.nextInt(),m=sc.nextInt();a=new int[n];
		for(int i=0;i<n;i++)
		{
			a[i]=sc.nextInt();
		}
		al=new ArrayList[n];
		for(int i=0;i<n;i++)
		{
			al[i]=new ArrayList<Integer>();
		}
		for(int i=1;i<n;i++)
		{
			int u=sc.nextInt()-1,v=sc.nextInt()-1;
			al[u].add(v);al[v].add(u);
		}
		tin=new int[n];tout=new int[n];tour=new int[n];dfs(0,-1);tree=new long[4*n];lazy=new int[4*n];build(1,0,n-1);
		while(m>0)
		{
			int t=sc.nextInt();
			if(t==1)
			{
				int idx=sc.nextInt()-1,val=sc.nextInt();
				update(1,0,n-1,tin[idx],tout[idx],val);
			}
			else
			{
				int idx=sc.nextInt()-1;out.println(Long.bitCount(query(1,0,n-1,tin[idx],tout[idx])));
			}
			m--;
		}
		out.close();
    }
}
class FastScanner
{
    BufferedReader in;
    StringTokenizer st;

    public FastScanner(BufferedReader in) {
        this.in = in;
    }
	
    public String nextToken() throws Exception {
        while (st == null || !st.hasMoreTokens()) {
            st = new StringTokenizer(in.readLine());
        }
        return st.nextToken();
    }
	
	public String next() throws Exception {
		return nextToken().toString();
	}
	
    public int nextInt() throws Exception {
        return Integer.parseInt(nextToken());
    }

    public long nextLong() throws Exception {
        return Long.parseLong(nextToken());
    }

    public double nextDouble() throws Exception {
        return Double.parseDouble(nextToken());
    }
}