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.*;
import java.lang.*;

public class E620 {
    
    static class Solver {
	
	InputReader readerstream; 
	PrintWriter writerstream; // uncomment this
	//PrintStream writerstream;  // comment out this line
	Solver(InputReader r, PrintWriter wr) { 
	    this.readerstream = r;
	    this.writerstream = wr;   // uncomment this line
	    //this.writerstream = System.out; // comment out this line

	}
	
	final int MAXN = 400100;

	int[] A,T,l,r;
	long[] S; boolean[] lazy;
	ArrayList<ArrayList<Integer>> G;
	int n,m,time;
	
	void dfs(int x,int pi) {
	    time++; T[time] = x; l[x] = time; r[x] = time;
	    for (int i = 0; i < G.get(x).size(); i++) {
		int y = G.get(x).get(i);
		if (y == pi) continue;
		dfs(y,x); l[x] = Math.min(l[x],l[y]); r[x] = Math.max(r[x],r[y]);
	    }
	}
	
	void push(int x) {
	    if (!lazy[x]) return;
	    S[x*2] = S[x]; S[x*2 + 1] = S[x]; lazy[x*2] = true; lazy[x*2 + 1] = true;
	    lazy[x] = false;
	}

	void init(int x,int l,int r) {
	    lazy[x] = false;
	    if (l == r) { S[x] = 1l<<A[T[l]]; return; }
	    int mid = (l+r)/2;
	    init(x*2,l,mid); init(x*2 + 1,mid+1,r);
	    S[x] = S[x*2] | S[x*2 + 1];
	}
	
	long query(int x,int l,int r,int i,int j) {
	    push(x);
	    if (j < l || r < i) return 0l;
	    if (i <= l && r <= j) return S[x];
	    int mid = (l+r)/2;
	    return query(x*2,l,mid,i,j) | query(x*2 + 1,mid+1,r,i,j);
	}

	void update(int x,int l,int r,int i,int j,int c) {
	    push(x);
	    if (j < l || r < i) return;
	    if (i <= l && r <= j) { lazy[x] = true; S[x] = 1l<<c; return; }
	    int mid = (l+r)/2;
	    update(x*2,l,mid,i,j,c); update(x*2 + 1,mid+1,r,i,j,c);
	    S[x] = S[x*2] | S[x*2 + 1];
	}

	public void run() {
	    n = gi(); m = gi(); time = 0;
	    A = new int[MAXN]; T = new int[MAXN]; l = new int[MAXN]; r = new int[MAXN];
	    G = new ArrayList<ArrayList<Integer>>(); S = new long[8*MAXN]; lazy = new boolean[8*MAXN];
	    Arrays.fill(lazy,false); Arrays.fill(S,0l);
	    
	    for (int i = 0; i < MAXN; i++) G.add(new ArrayList<Integer>());

	    for (int i = 1; i <= n; i++) { A[i] = gi(); A[i]--; }

	    for (int i = 1; i < n; i++) {
		int x = gi(), y = gi();
		G.get(x).add(y); G.get(y).add(x);
	    }
	    
	    dfs(1,-1);
	    init(1,1,n);
	    
	    while (m > 0) {
		int t = gi();
		if (t == 1) {
		    int x = gi(), c = gi(); c--;
		    update(1,1,n,l[x],r[x],c);
		} else {
		    int x = gi(); pr(Long.bitCount(query(1,1,n,l[x],r[x])));
		}
		m--;
	    }
	}
	
	int gi() { return readerstream.gi(); }
	long gl() { return readerstream.gl(); }
	double gd() { return readerstream.gd(); }
	String gs() { return readerstream.gs(); }
	String gline() { return readerstream.gline(); }
	void pr(Object x) { writerstream.println(x); }
    }


    static class Pair {
	public int first,second;
	
	Pair(int first,int second) { this.first = first; this.second = second; }
	
	boolean equals(Pair b) {
	    if (this.first == b.first && this.second == b.second) { return true; }
	    return false;
	}
		
    }

    static class InputReader {
	BufferedReader br; StringTokenizer t;

	InputReader(InputStream s) {
	    br = new BufferedReader(new InputStreamReader(s));
	    t = null;
	}

	String next() {
	    while (t == null || !t.hasMoreTokens()) {
		try {
		    t = new StringTokenizer(br.readLine());
		} catch (Exception e) {
		    e.printStackTrace();
		}
	    }
	    return t.nextToken();
	}

 	int gi() {
	    return Integer.parseInt(next());
	}

	long gl() {
	    return Long.parseLong(next());
	}

	double gd() {
	    return Double.parseDouble(next());
	}

	String gs() {
	    return next();
	}

	String gline() {
	    try { 
		return br.readLine();
	    } catch (Exception e) {
		e.printStackTrace();
		return "";
	    }
	}
    }


    // drivers
    
    public static void main(String[] args) {
	InputReader r = new InputReader(System.in);
	PrintWriter w = new PrintWriter(System.out);
	Solver s = new Solver(r,w);
	s.run();
	w.close();
    }

}