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.util.*;
import java.io.*;
public class e {
	public static void main(String[] args) throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st = new StringTokenizer(br.readLine());
		int n = Integer.parseInt(st.nextToken());
		int q = Integer.parseInt(st.nextToken());
		int[] cs = new int[n];
		st = new StringTokenizer(br.readLine());
		for(int i = 0;i<n;i++){
			cs[i] = Integer.parseInt(st.nextToken());
		}
		ArrayList<Integer>[] g = new ArrayList[n];
		for(int i = 0;i<n;i++){
			g[i] = new ArrayList<Integer>();
		}
		for(int i = 0;i<n-1;i++){
			st = new StringTokenizer(br.readLine());
			int s = Integer.parseInt(st.nextToken())-1;
			int e = Integer.parseInt(st.nextToken())-1;
			g[s].add(e);
			g[e].add(s);
		}
		
		int pos = 0;
		int[] pre = new int[n];
		int[] end = new int[n];
		Stack<Integer> stt = new Stack<Integer>();
		stt.push(-1);
		stt.push(0);
		stt.push(0);
		while(stt.size() > 0){
			int cur = stt.pop();
			int i = stt.pop();
			int parent = stt.pop();
			if(i == 0){
				pre[cur] = pos;
				pos++;
			}
			if(i == g[cur].size()){
				end[cur] = pos-1;
			}
			else{
				int next = g[cur].get(i);
				if(next == parent){
					stt.push(parent);
					stt.push(i+1);
					stt.push(cur);
				}
				else{
					stt.push(parent);
					stt.push(i+1);
					stt.push(cur);
					stt.push(cur);
					stt.push(0);
					stt.push(next);
				}
			}
			
		}
		
		long[] init = new long[n];
		for(int i = 0;i<n;i++){
			init[pre[i]] = (1l<<cs[i]);
		}
		SegmentTree s = new SegmentTree(init);
		PrintWriter out = new PrintWriter(System.out);
		for(int i = 0;i<q;i++){
			st = new StringTokenizer(br.readLine());
			int type = Integer.parseInt(st.nextToken());
			if(type == 1){
				int v = Integer.parseInt(st.nextToken())-1;
				int c = Integer.parseInt(st.nextToken());
				s.modify(pre[v], end[v], (1l<<c));
			}
			else{
				int v = Integer.parseInt(st.nextToken())-1;
				out.println(Long.bitCount(s.query(pre[v], end[v])));
			}
		}
		out.close();
	}
	public static class SegmentTree
	{
		int n;
		long[] or;
		long[] delta;
		
		public SegmentTree(long[] init)
		{
			n = init.length;
			or = new long[n << 2 | 1];
			delta = new long[n << 2 | 1];
			
			build(1, 0, n - 1, init);
		}
		
		public void build(int i, int l, int r, long[] init)
		{
			delta[i] = 0;
			if(l == r)
			{
				or[i] = init[l];
			}
			else
			{
				int mid = (l + r) >> 1;
				build(i << 1, l, mid, init);
				build(i << 1 | 1, mid + 1, r, init);
				
				update(i, l, r);
			}
		}
		
		public void modify(int left, int right, long val)
		{
			modify(1, 0, n - 1, left, right, val);
		}
		
		public void modify(int i, int l, int r, int left, int right, long val)
		{
			if(r < left || l > right)
			{
				return;
			}
			else if(l >= left && r <= right)
			{
				apply(i, l, r, val);
			}
			else
			{
				prop(i, l, r);
				
				int mid = (l + r) >> 1;
				modify(i << 1, l, mid, left, right, val);
				modify(i << 1 | 1, mid + 1, r, left, right, val);
				
				update(i, l, r);
				
			}
		}
		
		public long query(int left, int right)
		{
			return query(1, 0, n - 1, left, right);
		}
		
		public long query(int i, int l, int r, int left, int right)
		{
			if(r < left || l > right)
			{
				return 0;
			}
			else if(l >= left && r <= right)
			{
				return or[i];
			}
			else
			{
				prop(i, l, r);
				
				int mid = (l + r) >> 1;
				return query(i << 1, l, mid, left, right) | query(i << 1 | 1, mid + 1, r, left, right);
			}
		}
		
		public void apply(int i, int l, int r, long val)
		{
			delta[i] = val;
			or[i] = val;
		}
		
		public void prop(int i, int l, int r)
		{
			if(delta[i] == 0){
				return;
			}
			int mid = (l + r) >> 1;
			apply(i << 1, l, mid, delta[i]);
			apply(i << 1 | 1, mid + 1, r, delta[i]);
			delta[i] = 0;
		}
		
		public void update(int i, int l, int r)
		{
			or[i] = or[i << 1] | or[i << 1 | 1] | delta[i];
		}
	}
}