There are n employees working in company "X" (let's number them from 1 to n for convenience). Initially the employees didn't have any relationships among each other. On each of m next days one of the following events took place:

  * either employee y became the boss of employee x (at that, employee x didn't have a boss before); 
  * or employee x gets a packet of documents and signs them; then he gives the packet to his boss. The boss signs the documents and gives them to his boss and so on (the last person to sign the documents sends them to the archive); 
  * or comes a request of type "determine whether employee x signs certain documents". 



Your task is to write a program that will, given the events, answer the queries of the described type. At that, it is guaranteed that throughout the whole working time the company didn't have cyclic dependencies.

Input

The first line contains two integers n and m (1 ≤ n, m ≤ 105) — the number of employees and the number of events. 

Each of the next m lines contains the description of one event (the events are given in the chronological order). The first number of the line determines the type of event t (1 ≤ t ≤ 3). 

  * If t = 1, then next follow two integers x and y (1 ≤ x, y ≤ n) — numbers of the company employees. It is guaranteed that employee x doesn't have the boss currently. 
  * If t = 2, then next follow integer x (1 ≤ x ≤ n) — the number of the employee who got a document packet. 
  * If t = 3, then next follow two integers x and i (1 ≤ x ≤ n; 1 ≤ i ≤ [number of packets that have already been given]) — the employee and the number of the document packet for which you need to find out information. The document packets are numbered started from 1 in the chronological order. 



It is guaranteed that the input has at least one query of the third type.

Output

For each query of the third type print "YES" if the employee signed the document package and "NO" otherwise. Print all the words without the quotes.

Examples

Input

4 9
1 4 3
2 4
3 3 1
1 2 3
2 2
3 1 2
1 3 1
2 2
3 1 3


Output

YES
NO
YES
/*
 ID: govind.3, GhpS, govindpatel
 LANG: JAVA
 TASK: Main 
 */

import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class Main {

    /**
     * Min segment Tree takes the minimum number at the root
     */
    class MinSegmentTree {

        /**
         * root: Tree root, balance: input array, rl,rr:
         * rl=0,rr=inputArray.length-1 minTree:segment Tree
         */
        private void initMinTree(int root, int rl, int rr, int[] balance, int[] minTree) {
            if (rl == rr) {
                minTree[root] = balance[rl];
                return;
            }
            int rm = (rl + rr) / 2;
            initMinTree(root * 2 + 1, rl, rm, balance, minTree);
            initMinTree(root * 2 + 2, rm + 1, rr, balance, minTree);
            minTree[root] = Math.min(minTree[root * 2 + 1], minTree[root * 2 + 2]);
        }

        /**
         * minTree:segment tree root:0 rl:0,rr:inputarray.length-1
         * l=queryleft-1(If 1 based index),r = queryright(1-based)
         */
        private int getMin(int[] minTree, int root, int rl, int rr, int l, int r) {
            //l = query left-1, r = query right
            if (l > r) {
                return Integer.MAX_VALUE;
            }
            if (l == rl && r == rr) {
                return minTree[root];
            }
            int rm = (rl + rr) / 2;
            return Math.min(getMin(minTree, root * 2 + 1, rl, rm, l, Math.min(r, rm)),
                    getMin(minTree, root * 2 + 2, rm + 1, rr, Math.max(rm + 1, l), r));
        }
    }
    //dsu next operation
    int[] next;

    private int next(int i) {
        if (next[i] == i) {
            return i;
        }
        return next[i] = next(next[i]);
    }

    //segment tree...
    private void set(int[] t, int ind, int val) {
        ind += (t.length / 2);
        t[ind] = val;
        int curr = 0;
        while (ind > 1) {
            ind >>= 1;
            if (curr == 0) {
                t[ind] = t[ind * 2] | t[ind * 2 + 1];
            } else {
                t[ind] = t[ind * 2] ^ t[2 * ind + 1];
            }
            curr ^= 1;
        }
    }

    //Binary Index tree
    class FenwickTree {

        int[] ft;
        int N;

        FenwickTree(int n) {
            this.N = n;
            ft = new int[N];
        }

        private int lowbit(int x) {
            return x & (-x);
        }

        void update(int pos, int val) {
            while (pos < N) {
                ft[pos] += val;
                pos |= pos + 1;//0-index
            }
        }

        int sum(int pos) {
            int sum = 0;
            while (pos >= 0) {
                sum += ft[pos];
                pos = (pos & (pos + 1)) - 1;
            }
            return sum;
        }

        int rangeSum(int left, int right) {
            return sum(right) - sum(left - 1);
        }
    }

    /**
     * BINARY SEARCH IN FENWICK TREE: l=1, r=N(length), at=sumRequired,
     * letter=TreeIndex(if there are many ft), ft=arrays of FT
     */
    private int binarySearch(int l, int r, int at, int letter, FenwickTree[] ft) {
        while (r - l > 0) {
            int mid = (l + r) / 2;
            int sum = ft[letter].sum(mid);
            if (sum < at) {
                l = mid + 1;
            } else {
                r = mid;
            }
        }
        return l;
    }

    private int[] compress(int[] a) {
        int[] b = new int[a.length];
        for (int i = 0; i < a.length; i++) {
            b[i] = a[i];
        }
        Arrays.sort(b);
        int m = 0;
        for (int i = 0; i < b.length;) {
            int j = i;
            while (j < b.length && b[j] == b[i]) {
                j++;
            }
            b[m++] = b[i];
            i = j;
        }
        for (int i = 0; i < a.length; i++) {
            a[i] = Arrays.binarySearch(b, 0, m, a[i]);
        }
        return a;
    }

    class Dijkstra {

        class Edge implements Comparable<Edge> {

            int to;
            long weight;

            Edge(int t, long w) {
                to = t;
                weight = w;
            }

            public int compareTo(Edge other) {
                return (int) Math.signum(weight - other.weight);
            }
        }
        public static final long INF = (long) 1e17;
        private ArrayList<Edge> adj[];
        private int nodes;
        private long[] dist;
        private int[] prev;
        private boolean[] visited;

        public Dijkstra(int n) {
            nodes = n;
            adj = new ArrayList[nodes];
            dist = new long[nodes];
            prev = new int[nodes];
            visited = new boolean[nodes];
            for (int i = 0; i < nodes; i++) {
                adj[i] = new ArrayList<Edge>();
                dist[i] = INF;
                prev[i] = -1;
            }
        }

        public void add(int u, int v, long cost) {
            adj[u].add(new Edge(v, cost));
        }

        public void dist() {
            //src vertex = 0;
            dist[0] = 0;
            Queue<Edge> q = new PriorityQueue<Edge>();
            q.add(new Edge(0, 0));
            while (!q.isEmpty()) {
                Edge e = q.poll();
                int ind = e.to;
                if (visited[ind]) {
                    continue;
                }
                visited[ind] = true;

                for (Edge edge : adj[ind]) {
                    long newDistance = e.weight + edge.weight;
                    if (newDistance < dist[edge.to]) {
                        dist[edge.to] = newDistance;
                        prev[edge.to] = ind;
                        q.add(new Edge(edge.to, dist[edge.to]));
                    }
                }
            }
        }

        public ArrayList<Integer> getPrevList(int last) {
            ArrayList<Integer> al = new ArrayList<Integer>();
            while (last != -1) {
                al.add(last);
                last = prev[last];
            }
            return al;
        }

        public int[] getPrev() {
            return prev;
        }

        public long[] getDistance() {
            return dist;
        }

        public boolean[] getVisited() {
            return visited;
        }
    }
    int[] up;
    int[] inT, outT;
    int time;
    ArrayList<Integer>[] g;

    void go(int v, int p) {
        inT[v] = time++;
        for (int to : g[v]) {
            if (to != p) {
                go(to, v);
            }
        }
        outT[v] = time - 1;
    }

    boolean inside(int parent, int u) {
        return inT[parent] <= inT[u] && outT[u] <= outT[parent];
    }

    private void solve() throws IOException {
        int n = nextInt();
        int m = nextInt();
        up = new int[n];
        ArrayList<Integer> from = new ArrayList<Integer>();
        ArrayList<Integer> to = new ArrayList<Integer>();
        g = new ArrayList[n];
        boolean[] root = new boolean[n];
        for (int i = 0; i < n; i++) {
            up[i] = i;
            root[i] = true;
            g[i] = new ArrayList<Integer>();
        }
        ArrayList<Integer> ask = new ArrayList<Integer>();
        ArrayList<Integer> docID = new ArrayList<Integer>();
        for (int i = 0; i < m; i++) {
            int type = nextInt();
            if (type == 1) {
                int x = nextInt() - 1;
                int y = nextInt() - 1;
                up[x] = y;
                g[y].add(x);// y->x
                root[x] = false;
            } else {
                if (type == 2) {
                    int x = nextInt() - 1;
                    int u = get(x);//parent x
                    from.add(x);//child
                    to.add(u);//parent
                } else {
                    ask.add(nextInt() - 1);//x
                    docID.add(nextInt() - 1);//id
                }
            }
        }
        inT = new int[n];
        outT = new int[n];
        for (int i = 0; i < n; i++) {
            if (root[i]) {
                go(i, i);
            }
        }
        for (int i = 0; i < ask.size(); i++) {
            int fr = from.get(docID.get(i));//child
            int t = to.get(docID.get(i));//parent
            int empID = ask.get(i);
            if (inside(t, empID) && inside(empID, fr)) {
                out.println("YES");
            } else {
                out.println("NO");
            }
        }
    }

    void merge(int a, int b) {
        a = get(a);
        b = get(b);
        if (a != b) {
            up[a] = b;
        }
    }

    int get(int a) {
        if (up[a] == a) {
            return a;
        }
        return up[a] = get(up[a]);
//        while (up[a] != a) {
//            up[a] = up[up[a]];
//            a = up[a];
//        }
//        return a;
    }

    boolean isSorted(ArrayList<Integer> al) {
        int size = al.size();
        for (int i = 1; i < size - 2; i++) {
            if (al.get(i) > al.get(i + 1)) {
                return false;
            }
        }
        return true;
    }

    /**
     * SHUFFLE: shuffle the array 'a' of size 'N'
     */
    private void shuffle(int[] a, int N) {
        for (int i = 0; i < N; i++) {
            int r = i + (int) ((N - i) * Math.random());
            int t = a[i];
            a[i] = a[r];
            a[r] = t;
        }
    }

    /**
     * TEMPLATE-STUFF: main method, run method - ( fileIO and stdIO ) and
     * various methods for input like nextInt, nextLong, nextToken and
     * nextDouble with some declarations.
     */
    /**
     * For solution to the problem ... see the solve method
     */
    public static void main(String[] args) {
        new Main().run();
    }

    public void run() {
        try {
            in = new BufferedReader(new FileReader("D-large.in"));
            out = new PrintWriter(new BufferedWriter(new FileWriter("Main.out")));
            tok = null;
            solve();
            in.close();
            out.close();
            System.exit(0);
        } catch (IOException e) {//(FileNotFoundException e) {
            try {
                in = new BufferedReader(new InputStreamReader(System.in));
                out = new PrintWriter(new OutputStreamWriter(System.out));
                tok = null;
                solve();
                in.close();
                out.close();
                System.exit(0);
            } catch (IOException ex) {
                System.out.println(ex.getMessage());
                System.exit(0);
            }
        }
    }

    private String nextToken() throws IOException {
        while (tok == null || !tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    private int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    private long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    private double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }
    BufferedReader in;
    StringTokenizer tok;
    PrintWriter out;
}
