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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long int hell = 1000000007;
const long long int maxn = 4e5 + 5;
long long int n, m;
long long int timer = 0;
vector<long long int> g[maxn];
long long int ar[maxn], tree[4 * maxn], lazy[4 * maxn];
long long int tin[maxn], tout[maxn], col[maxn];
long long int merge(long long int a, long long int b) { return a | b; }
void build(long long int tv, long long int tl, long long int tr) {
  if (tl == tr) {
    tree[tv] = ar[tl];
    return;
  }
  long long int tm = (tl + tr) / 2;
  build(tv * 2, tl, tm);
  build(tv * 2 + 1, tm + 1, tr);
  tree[tv] = merge(tree[tv * 2], tree[tv * 2 + 1]);
}
void update_range(long long int tv, long long int tl, long long int tr,
                  long long int l, long long int r, long long int val) {
  if (lazy[tv] != 0) {
    tree[tv] = lazy[tv];
    if (tl != tr) {
      lazy[tv * 2] = lazy[tv];
      lazy[tv * 2 + 1] = lazy[tv];
    }
    lazy[tv] = 0;
  }
  if (tl > tr or tl > r or tr < l) return;
  if (tl >= l and tr <= r) {
    tree[tv] = val;
    if (tl != tr) {
      lazy[tv * 2] = val;
      lazy[tv * 2 + 1] = val;
    }
    return;
  }
  long long int tm = tl + tr >> 1;
  update_range(tv * 2, tl, tm, l, r, val);
  update_range(tv * 2 + 1, tm + 1, tr, l, r, val);
  tree[tv] = merge(tree[tv * 2], tree[tv * 2 + 1]);
}
long long int query_range(long long int tv, long long int tl, long long int tr,
                          long long int l, long long int r) {
  if (lazy[tv] != 0) {
    tree[tv] = lazy[tv];
    if (tl != tr) {
      lazy[tv * 2] = lazy[tv];
      lazy[tv * 2 + 1] = lazy[tv];
    }
    lazy[tv] = 0;
  }
  if (tl > tr or tl > r or tr < l) return 0;
  if (tl >= l and tr <= r) return tree[tv];
  long long int tm = tl + tr >> 1;
  long long int p1 = query_range(tv * 2, tl, tm, l, r);
  long long int p2 = query_range(tv * 2 + 1, tm + 1, tr, l, r);
  return merge(p1, p2);
}
void dfs(long long int v, long long int par) {
  tin[v] = ++timer;
  ar[timer] = col[v];
  for (auto to : g[v]) {
    if (to == par) continue;
    dfs(to, v);
  }
  tout[v] = timer;
}
int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  cin >> n >> m;
  for (long long int i = 1; i <= n; i++) {
    cin >> col[i];
    col[i] = (1LL << col[i]);
  }
  for (long long int i = 1; i <= n - 1; i++) {
    long long int u, v;
    cin >> u >> v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfs(1, 1);
  build(1, 1, n);
  while (m--) {
    long long int type;
    cin >> type;
    if (type == 1) {
      long long int v, color;
      cin >> v >> color;
      color = (1LL << color);
      update_range(1, 1, n, tin[v], tout[v], color);
    } else {
      long long int v;
      cin >> v;
      cout << __builtin_popcountll(query_range(1, 1, n, tin[v], tout[v]))
           << '\n';
    }
  }
}