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
/*Author: Satyajeet Singh, Delhi Technological University*/
import java.io.*;
import java.util.*;
import java.text.*; 
import java.lang.*;

public class Main {
    static PrintWriter out=new PrintWriter(new OutputStreamWriter(System.out));        
    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static long mod=(long)1e9+7;
    static long mod1=998244353;
    static boolean sieve[];
    static ArrayList<Integer> primes;
    static ArrayList<Long> factorial;
    static HashSet<Integer> graph[];
/****************************************Solutions Begins***************************************************/
    static int n=0;
	static int col[];
	static HashSet<Integer> vis;
	static boolean check(int v){
		for(int i:graph[v]){
			vis=new HashSet<>();
			vis.add(v);
			if(!dfs(i,col[i])){
				return false;
			}
		}
		return true;
	}
	static boolean dfs(int start,int color){
		vis.add(start);
		for(int u:graph[start]){
			if(!vis.contains(u)&&(col[u]!=color||!dfs(u,color))){
				return false;
			}
		}
		return true;
	}
    public static void main (String[] args) throws Exception {
        String st[]=br.readLine().split(" ");
        n=Integer.parseInt(st[0]);
		Makegraph(n+1);
		ArrayList<Pair> edges=new ArrayList<>();
		for(int i=0;i<n-1;i++){
			st=br.readLine().split(" ");
			int a=Integer.parseInt(st[0]);
			int b=Integer.parseInt(st[1]);
			addEdge(a,b);
			edges.add(new Pair(a,b));
		}
		st=br.readLine().split(" ");
		col=new int[n+1];
		for(int i=1;i<=n;i++){
			col[i]=Integer.parseInt(st[i-1]);
		}
		int ans=1;
		for(int i=0;i<n-1;i++){
			Pair p=edges.get(i);
			
			if(col[p.u]!=col[p.v]){
				if(check(p.u)){
					ans=p.u;
				}
				else if(check(p.v)){
					ans=p.v;
				}
				else{
					ans=-1;
				}
				break;
			}
		}
						if(ans==-1){
					out.println("NO");
				}
				else{
					out.println("YES");
					out.println(ans);
				}

/****************************************Solutions Ends*****************************************************/
        out.flush();
        out.close();
    }
/****************************************Template Begins***************************************************/
/***************************************Precision Printing**********************************************/
    static void printPrecision(double d){
        DecimalFormat ft = new DecimalFormat("0.000000"); 
        out.println(ft.format(d));
    }
/******************************************Graph***********************************************************/
    static void Makegraph(int n){
        graph=new HashSet[n];
        for(int i=0;i<n;i++){
            graph[i]=new HashSet<>();
        }
    }
    static void addEdge(int a,int b){
        graph[a].add(b);
        graph[b].add(a);
    }    
/*******************************************************TRIPLET********************************************/
    static class tripletComparator implements Comparator<triplet>{
        public int compare(triplet p1,triplet p2){
            if(p1.u<p2.u){
                return 1;
            }
            else if(p1.u>p2.u){
                return -1;
            }
            else{
                return 0;
            }
        }
    }
    static class triplet{
        int u;
        int v;
        int i;
        public triplet(int u,int v,int i){
            this.u=u;
            this.v=v;
            this.i=i;
        }
        public String toString() {
            return "[u=" + u + ", v=" + v + ", i="+i+"]";
        }
    }
/*********************************************PAIR*************************************************/
    static class PairComp implements Comparator<Pair>{
        public int compare(Pair p1,Pair p2){
            if(p1.u>p2.u){
                return 1;
            }
            else if(p1.u<p2.u){
                return -1;
            }
            else{
                return 0;
            }
        }
    }
    static class Pair implements Comparable<Pair> {
        int u;
        int v;
        int index=-1;
        public Pair(int u, int v) {
            this.u = u;
            this.v = v;
        }
 
        public int hashCode() {
            int hu = (int) (u ^ (u >>> 32));
            int hv = (int) (v ^ (v >>> 32));
            return 31 * hu + hv;
        }
 
        public boolean equals(Object o) {
            Pair other = (Pair) o;
            return u == other.u && v == other.v;
        }
 
        public int compareTo(Pair other) {
            if(index!=other.index)
                return Long.compare(index, other.index);
            return Long.compare(v, other.v)!=0?Long.compare(v, other.v):Long.compare(u, other.u);
        }
 
        public String toString() {
            return "[u=" + u + ", v=" + v + "]";
        }
    }
/*******************************************LONG PAIR******************************************/
    static class PairCompL implements Comparator<Pairl>{
        public int compare(Pairl p1,Pairl p2){
            if(p1.u>p2.u){
                return 1;
            }
            else if(p1.u<p2.u){
                return -1;
            }
            else{
                return 0;
            }
        }
    }
static class Pairl implements Comparable<Pair> {
        long u;
        long v;
        int index=-1;
        public Pairl(long u, long v) {
            this.u = u;
            this.v = v;
        }
 
        public int hashCode() {
            int hu = (int) (u ^ (u >>> 32));
            int hv = (int) (v ^ (v >>> 32));
            return 31 * hu + hv;
        }
 
        public boolean equals(Object o) {
            Pair other = (Pair) o;
            return u == other.u && v == other.v;
        }
 
        public int compareTo(Pair other) {
            if(index!=other.index)
                return Long.compare(index, other.index);
            return Long.compare(v, other.v)!=0?Long.compare(v, other.v):Long.compare(u, other.u);
        }
 
        public String toString() {
            return "[u=" + u + ", v=" + v + "]";
        }
    }
/*****************************************DEBUG***********************************************************/
    public static void debug(Object... o) {
        System.out.println(Arrays.deepToString(o));
    }
/*****************************************NUMBER THEORY***********************************************/

/************************************MODULAR EXPONENTIATION************************************/
    static long modulo(long a,long b,long c) {
        long x=1;
        long y=a;
        while(b > 0){
            if(b%2 == 1){
                x=(x*y)%c;
            }
            y = (y*y)%c; // squaring the base
            b /= 2;
        }
        return  x%c;
    }
/*********************************************GCD*****************************/
    static long gcd(long x, long y)
    {
        if(x==0)
            return y;
        if(y==0)
            return x;
        long r=0, a, b;
        a = (x > y) ? x : y; // a is greater number
        b = (x < y) ? x : y; // b is smaller number
        r = b;
        while(a % b != 0)
        {
            r = a % b;
            a = b;
            b = r;
        }
        return r;
    }
/*******************************************SIEVE*********************************/
    static void sieveMake(int n){
        sieve=new boolean[n];
        Arrays.fill(sieve,true);
        sieve[0]=false;
        sieve[1]=false;
        for(int i=2;i*i<n;i++){
            if(sieve[i]){
                for(int j=i*i;j<n;j+=i){
                    sieve[j]=false;
                }
            }
        }
        primes=new ArrayList<Integer>();
        for(int i=0;i<n;i++){
            if(sieve[i]){
                primes.add(i);
            }
        }        
    }
/***************************************FACTORIAL*********************************************************/
    static void fact(int n){
        factorial=new ArrayList<>();
        factorial.add((long)1);
        for(int i=1;i<=n;i++){
            factorial.add((factorial.get(i-1)*i)%mod);
        }
    }
/*******************************************ncr*********************************************************/
    static long ncr(int n,int k){
        long aa=modulo(factorial.get(n-k),mod-2,mod);
        long bb=modulo(factorial.get(k),mod-2,mod);
        long cc=factorial.get(n);
        long ans=(aa*cc)%mod;
        ans=(ans*bb)%mod;
        return ans;
    }
/***************************************STRING REVERSE****************************************************/
    static String reverse(String str){
        char r[]=new char[str.length()];
        int j=0;
        for(int i=str.length()-1;i>=0;i--){
            r[j]=str.charAt(i);
            j++;
        }
        return new String(r);
    }
}
/*******************************************************End***********************************************************/