Each New Year Timofey and his friends cut down a tree of n vertices and bring it home. After that they paint all the n its vertices, so that the i-th vertex gets color ci.

Now it's time for Timofey birthday, and his mother asked him to remove the tree. Timofey removes the tree in the following way: he takes some vertex in hands, while all the other vertices move down so that the tree becomes rooted at the chosen vertex. After that Timofey brings the tree to a trash can.

Timofey doesn't like it when many colors are mixing together. A subtree annoys him if there are vertices of different color in it. Timofey wants to find a vertex which he should take in hands so that there are no subtrees that annoy him. He doesn't consider the whole tree as a subtree since he can't see the color of the root vertex.

A subtree of some vertex is a subgraph containing that vertex and all its descendants.

Your task is to determine if there is a vertex, taking which in hands Timofey wouldn't be annoyed.

Input

The first line contains single integer n (2 ≤ n ≤ 105) — the number of vertices in the tree.

Each of the next n - 1 lines contains two integers u and v (1 ≤ u, v ≤ n, u ≠ v), denoting there is an edge between vertices u and v. It is guaranteed that the given graph is a tree.

The next line contains n integers c1, c2, ..., cn (1 ≤ ci ≤ 105), denoting the colors of the vertices.

Output

Print "NO" in a single line, if Timofey can't take the tree in such a way that it doesn't annoy him.

Otherwise print "YES" in the first line. In the second line print the index of the vertex which Timofey should take in hands. If there are multiple answers, print any of them.

Examples

Input

4
1 2
2 3
3 4
1 2 1 1


Output

YES
2

Input

3
1 2
2 3
1 2 3


Output

YES
2

Input

4
1 2
2 3
3 4
1 2 1 2


Output

NO
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.OutputStreamWriter;
import java.io.IOException;
import java.math.BigInteger;
import java.util.*;
import java.util.stream.Stream;


/**
 *
 * @author Pradyumn Agrawal coderbond007
 */
public class C{
    public static InputStream inputStream = System.in;
    public static FastReader in = new FastReader(inputStream);
    public static PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
    
    public static void main(String[] args)throws java.lang.Exception
    {
        new C().run();
        out.close();
    }
    void run() throws java.lang.Exception
    {
    	int n = ni();
        int[] from = new int[n - 1];
        int[] to = new int[n - 1];
        for (int i = 0; i < n - 1; i++) {
            from[i] = ni() - 1;
            to[i] = ni() - 1;
        }
        int[][] g = packU(n, from, to);
        
        int[] cs = na(n);
        if(Arrays.stream(cs).allMatch(x -> x == cs[0])){
            out.println("YES");
            out.println(1);
            return;
        }
        
        for(int i = 0;i < n-1;i++){
            if(cs[from[i]] != cs[to[i]]){
                if(go(from[i], g, cs)){
                    out.println("YES");
                    out.println(from[i]+1 + " ");
                    return;
                }
                if(go(to[i], g, cs)){
                    out.println("YES");
                    out.println(to[i]+1 + " ");
                    return;
                }
                break;
            }
        }
        out.println("NO");
    }
    boolean go(int root, int[][] g, int[] cs)
    {
        for(int e : g[root]){
            if(!dfs(e, root, cs[e], g, cs)){
                return false;
            }
        }
        return true;
    }
    
    boolean dfs(int cur, int pre, int x, int[][] g, int[] cs)
    {
        if(cs[cur] != x)return false;
        for(int e : g[cur]){
            if(e == pre)continue;
            if(!dfs(e, cur, x, g, cs))return false;
        }
        return true;
    }
    static int[][] packU(int n, int[] from, int[] to){
        int[][] g = new int[n][];
        int[] p = new int[n];
        for(int f : from)
            p[f]++;
        for(int t : to)
            p[t]++;
        for (int i = 0; i < n; i++) {
            g[i] = new int[p[i]];
        }
        for (int i = 0; i < from.length; i++) {
            g[from[i]][--p[from[i]]] = to[i];
            g[to[i]][--p[to[i]]] = from[i];
        }
        return g;
    }
    private static int ni(){ 
        return in.nextInt();
    }
    private static long nl(){
        return in.nextLong();
    }
    private static String ns(){
        return in.nextString();
    }
    private static char nc(){
        return in.nextCharacter();
    }
    private static double nd(){
        return in.nextDouble();
    }

    private static char[] ns(int n)
    {
        char[] a = new char[n];
        for(int i=0;i<n;i++) a[i] = nc();
        return a;
    }

    private static char[][] nm(int n, int m)
    {
        char[][] map = new char[n][];
        for(int i=0;i<n;i++) map[i] = ns(m);
        return map;
    }

    private static int[] na(int n)
    {
        int[] a = new int[n];
        for(int i=0;i<n;i++) a[i] = ni();
        return a;
    }

    private static long[] nal(int n)
    {
        long[] a = new long[n];
        for(int i=0;i<n;i++) a[i] = nl();
        return a;
    }
    //private void tr(Object... o) { if(o.length() > 0)System.out.println(Arrays.deepToString(o)); }
}

class FastReader{
    private boolean finished = false;

    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;

    public FastReader(InputStream stream){
        this.stream = stream;
    }

    public int read(){
        if (numChars == -1){
            throw new InputMismatchException ();
        }
        if (curChar >= numChars){
            curChar = 0;
            try{
                numChars = stream.read (buf);
            } catch (IOException e){
                throw new InputMismatchException ();
            }
            if (numChars <= 0){
                return -1;
            }
        }
        return buf[curChar++];
    }

    public int peek(){
        if (numChars == -1){
            return -1;
        }
        if (curChar >= numChars){
            curChar = 0;
            try{
                numChars = stream.read (buf);
            } catch (IOException e){
                return -1;
            }
            if (numChars <= 0){
                return -1;
            }
        }
        return buf[curChar];
    }

    public int nextInt(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        int res = 0;
        do{
            if(c==','){
                c = read();
            }
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        } while (!isSpaceChar (c));
        return res * sgn;
    }

    public long nextLong(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        long res = 0;
        do{
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        } while (!isSpaceChar (c));
        return res * sgn;
    }

    public String nextString(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        StringBuilder res = new StringBuilder ();
        do{
            res.appendCodePoint (c);
            c = read ();
        } while (!isSpaceChar (c));
        return res.toString ();
    }

    public boolean isSpaceChar(int c){
        if (filter != null){
            return filter.isSpaceChar (c);
        }
        return isWhitespace (c);
    }

    public static boolean isWhitespace(int c){
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    private String readLine0(){
        StringBuilder buf = new StringBuilder ();
        int c = read ();
        while (c != '\n' && c != -1){
            if (c != '\r'){
                buf.appendCodePoint (c);
            }
            c = read ();
        }
        return buf.toString ();
    }

    public String nextLine(){
        String s = readLine0 ();
        while (s.trim ().length () == 0)
            s = readLine0 ();
        return s;
    }

    public String nextLine(boolean ignoreEmptyLines){
        if (ignoreEmptyLines){
            return nextLine ();
        }else{
            return readLine0 ();
        }
    }

    public BigInteger nextBigInteger(){
        try{
            return new BigInteger (nextString());
        } catch (NumberFormatException e){
            throw new InputMismatchException ();
        }
    }

    public char nextCharacter(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        return (char) c;
    }

    public double nextDouble(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        double res = 0;
        while (!isSpaceChar (c) && c != '.'){
            if (c == 'e' || c == 'E'){
                return res * Math.pow (10, nextInt ());
            }
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        }
        if (c == '.'){
            c = read ();
            double m = 1;
            while (!isSpaceChar (c)){
                if (c == 'e' || c == 'E'){
                    return res * Math.pow (10, nextInt ());
                }
                if (c < '0' || c > '9'){
                    throw new InputMismatchException ();
                }
                m /= 10;
                res += (c - '0') * m;
                c = read ();
            }
        }
        return res * sgn;
    }

    public boolean isExhausted(){
        int value;
        while (isSpaceChar (value = peek ()) && value != -1)
            read ();
        return value == -1;
    }
    public SpaceCharFilter getFilter(){
        return filter;
    }

    public void setFilter(SpaceCharFilter filter){
        this.filter = filter;
    }

    public interface SpaceCharFilter{
        public boolean isSpaceChar(int ch);
    }
}