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

public class Main {

    static ArrayList<Integer>[] adjList;
    static int[] inT, outT, color;
    static int c, n;

    static void dfs(int u, int p) {
        inT[u] = c;
        for (int v : adjList[u])
            if (v != p)
                dfs(v, u);

        outT[u] = c++;
    }

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

        n = sc.nextInt();
        int m = sc.nextInt();

        color = new int[n];
        inT = new int[n];
        outT = new int[n];
        adjList = new ArrayList[n];
        for (int i = 0; i < n; ++i)
            color[i] = sc.nextInt();

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

        for (int i = 0; i < n - 1; ++i) {
            int f = sc.nextInt() - 1;
            int t = sc.nextInt() - 1;
            adjList[f].add(t);
            adjList[t].add(f);
        }
        c = 1;
        dfs(0, -1);


        int[] in = new int[n + 1];
        for (int i = 0; i < n; ++i)
            in[outT[i]] = color[i];

        SegmentTree st = new SegmentTree(in);

        for (int i = 0; i < m; ++i) {
            if (sc.nextInt() == 1) {
                int v = sc.nextInt() - 1;
                int k = sc.nextInt();
                st.update_range(inT[v], outT[v], k);
            } else {
                int v = sc.nextInt() - 1;
                out.println(st.query(inT[v], outT[v]));
            }
        }

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

    static class SegmentTree {

        int N;
        int[] array, lazy;
        long[] sTree;

        SegmentTree(int[] in) {
            array = in;
            N = in.length - 1;
            sTree = new long[N << 1 << 1];
            lazy = new int[N << 1 << 1];
            build(1, 1, N);
        }

        void build(int node, int b, int e) {
            if (b == e)
                sTree[node] = (1l << array[b]);
            else {
                int mid = (b + e >> 1);
                build(node << 1, b, mid);
                build(node << 1 | 1, mid + 1, e);
                sTree[node] = sTree[node << 1] | sTree[node << 1 | 1];
            }
        }


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

        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) {
                sTree[node] = (1l << val);
                lazy[node] = val;
            } else {
                int mid = (b + e >> 1);
                propagate(node, b, mid, e);
                update_range(node << 1, b, mid, i, j, val);
                update_range(node << 1 | 1, mid + 1, e, i, j, val);
                sTree[node] = sTree[node << 1] | sTree[node << 1 | 1];
            }

        }

        void propagate(int node, int b, int mid, int e) {
            if (lazy[node] != 0) {
                lazy[node << 1] = lazy[node];
                lazy[node << 1 | 1] = lazy[node];
                sTree[node << 1] = (1l << lazy[node]);
                sTree[node << 1 | 1] = (1l << lazy[node]);
                lazy[node] = 0;
            }
        }

        int query(int i, int j) {
            return Long.bitCount(query(1, 1, N, i, j));
        }

        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 sTree[node];
            int mid = b + e >> 1;
            propagate(node, b, mid, e);
            return (query(node << 1, b, mid, i, j) | query(node << 1 | 1, mid + 1, e, i, j));

        }
    }


    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

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

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

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

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

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

        public double nextDouble() throws IOException {
            String x = next();
            StringBuilder sb = new StringBuilder("0");
            double res = 0, f = 1;
            boolean dec = false, neg = false;
            int start = 0;
            if (x.charAt(0) == '-') {
                neg = true;
                start++;
            }
            for (int i = start; i < x.length(); i++)
                if (x.charAt(i) == '.') {
                    res = Long.parseLong(sb.toString());
                    sb = new StringBuilder("0");
                    dec = true;
                } else {
                    sb.append(x.charAt(i));
                    if (dec)
                        f *= 10;
                }
            res += Long.parseLong(sb.toString()) / f;
            return res * (neg ? -1 : 1);
        }

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

    }

}