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.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.StringTokenizer;

public class NewYearTree {
	static ArrayList<Integer> adjlist[];
	static int n;
	static int[] E, H1, H2;
	static long[] L;
	static int idx;
	static long color[];

	public static void main(String[] args) throws IOException {
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);

		n = sc.nextInt();
		int m = sc.nextInt();
		color = new long[n];
		for (int i = 0; i < n; i++)
			color[i] = sc.nextLong();

		adjlist = new ArrayList[n];
		for (int i = 0; i < n; i++)
			adjlist[i] = new ArrayList<>();

		for (int i = 0; i < n-1; i++) {
			int u = sc.nextInt()-1, v = sc.nextInt()-1;
			adjlist[u].add(v);
			adjlist[v].add(u);
		}

		int size = ((n-1) << 1) + 1;
		L = new long[size];
		H1 = new int[size];
		H2 = new int[size];
		E = new int[size];

		build();
		int N = 1; while(N < size) N <<= 1;
		long[] in = new long[N + 1];
		for(int i = 1; i <= size; i++)
			in[i] = L[i-1];
		SegmentTree st = new SegmentTree(in);
		
		while(m-->0) {
			int t = sc.nextInt();
			if (t == 1) {
				int node = sc.nextInt()-1, val = sc.nextInt();
				st.update_range(H1[node]+1, H2[node]+1, val);
			}
			else {
				int node = sc.nextInt()-1;
				out.println(Long.bitCount(st.query(H1[node]+1, H2[node]+1)));
			}
		}

		out.flush();
		out.close();
	}

	static void dfs(int cur) {
		H1[cur] = H2[cur] = idx;
		E[idx] = cur;
		L[idx++] = color[cur];

		for (Integer nxt : adjlist[cur]) {
			if (H1[nxt] == -1) {
				dfs(nxt);
				H2[cur] = idx;
				E[idx] = cur;
				L[idx++] = color[cur];
			}
		}
	}

	static void build() {
		idx = 0;
		Arrays.fill(H1, -1);
		Arrays.fill(H2, -1);
		dfs(0);
	}

	static class SegmentTree {
		int N;
		long[] array, lazy, st;

		public SegmentTree(long[] arr) {
			array = arr;
			N = arr.length - 1;
			st = new long[N << 1];
			lazy = new long[N << 1];
			build(1, 1, N);
		}

		public void build(int node, int b, int e) { // O(n)
			if (b == e) {
				long l = 0;
				if (array[b] > 0)
					l = (1L << array[b]);
				st[node] = l;
			}
			else {
				int mid = (b+e) / 2;
				int left = left(node);
				int right = right(node);
				build(left, b, mid);
				build(right, mid+1, e);
				st[node] = st[left] | st[right];
			}
		}

		public void update_range(int i, int j, int val) {
			update_range(1, 1, N, i, j, val);
		}

		public void update_range(int node, int b, int e, int i, int j, int val) {
			if (i > e || j < b)
				return;
			if (b >= i && e <= j) {
				st[node] = (1L << val);
				lazy[node] = val;
			}
			else {
				propagate(node);
				int mid = (b+e) / 2;
				int left = left(node);
				int right = right(node);

				update_range(left, b, mid, i, j, val);
				update_range(right, mid+1, e, i, j, val);
				st[node] = st[left] | st[right];
			}
		}

		public void propagate(int node) {
			if (lazy[node] == 0) return;
			int left = left(node);
			int right = right(node);
			
			lazy[left] = lazy[node];
			lazy[right] = lazy[node];
			st[left] = (1L << lazy[node]);
			st[right] = (1L << lazy[node]);
			lazy[node] = 0;
		}

		public long query(int i, int j) {
			return query(1, 1, N, i, j);
		}

		// O(log n)
		public long query(int node, int b, int e, int i, int j) {
			if (i > e || j < b)
				return 0;
			if (b >= i && e <= j)
				return st[node];

			propagate(node);
			int mid = (b+e)/2;
			long q1 = query(left(node), b, mid, i, j);
			long q2 = query(right(node), mid+1, e, i, j);
			return q1 | q2;
		}

		public int left(int node) {
			return node << 1;
		}

		public int right(int node) {
			return (node << 1) + 1;
		}

		public int parent(int node) {
			return node >> 1;
		}
	}

	static class Scanner {
		BufferedReader br;
		StringTokenizer st;

		public Scanner(FileReader f) {
			br = new BufferedReader(f);
		}

		public Scanner(InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}

		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}

		public double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

		public boolean Ready() throws IOException {
			return br.ready();
		}

		public void waitForInput(long time) {
			long ct = System.currentTimeMillis();
			while(System.currentTimeMillis() - ct < time) {};
		}

	}

}