You've got an undirected graph, consisting of n vertices and m edges. We will consider the graph's vertices numbered with integers from 1 to n. Each vertex of the graph has a color. The color of the i-th vertex is an integer ci.

Let's consider all vertices of the graph, that are painted some color k. Let's denote a set of such as V(k). Let's denote the value of the neighbouring color diversity for color k as the cardinality of the set Q(k) = {cu : cu ≠ k and there is vertex v belonging to set V(k) such that nodes v and u are connected by an edge of the graph}.

Your task is to find such color k, which makes the cardinality of set Q(k) maximum. In other words, you want to find the color that has the most diverse neighbours. Please note, that you want to find such color k, that the graph has at least one vertex with such color.

Input

The first line contains two space-separated integers n, m (1 ≤ n, m ≤ 105) — the number of vertices end edges of the graph, correspondingly. The second line contains a sequence of integers c1, c2, ..., cn (1 ≤ ci ≤ 105) — the colors of the graph vertices. The numbers on the line are separated by spaces.

Next m lines contain the description of the edges: the i-th line contains two space-separated integers ai, bi (1 ≤ ai, bi ≤ n; ai ≠ bi) — the numbers of the vertices, connected by the i-th edge. 

It is guaranteed that the given graph has no self-loops or multiple edges.

Output

Print the number of the color which has the set of neighbours with the maximum cardinality. It there are multiple optimal colors, print the color with the minimum number. Please note, that you want to find such color, that the graph has at least one vertex with such color.

Examples

Input

6 6
1 1 2 3 5 8
1 2
3 2
1 4
4 3
4 5
4 6


Output

3


Input

5 6
4 2 5 2 4
1 2
2 3
3 1
5 3
5 4
3 4


Output

2
import java.util.*;
import java.io.*;
public class ColorfulGraph {
    
    
    
    /************************ SOLUTION STARTS HERE ************************/
    
    
    private static void solve() {
        
        final int MAX_COLOR = (int) 1e5;
        
        int V = nextInt();
        int E = nextInt();
        int color[] = nextIntArrayOneBased(V);
        ArrayList<Integer>[] adj = new ArrayList[V + 1];
        ArrayList<Integer>[] colorGroup = new ArrayList[MAX_COLOR + 1];
        for(int i = 1; i <= V; i++) 
            adj[i] = new ArrayList<>();
        for(int i = 1; i <= MAX_COLOR; i++)
            colorGroup[i] = new ArrayList<>();
        
        
        for(int i = 1; i <= V; i++)
            colorGroup[color[i]].add(i);
        
        while(E-->0) {
            int u = nextInt();
            int v = nextInt();
            adj[u].add(v);
            adj[v].add(u);
        }
        
        int maxCardinality = -1 , maxColor = 0;
        for(int col = 1; col <= MAX_COLOR; col++) {
            HashSet<Integer> set = new HashSet<>();
            for(int v : colorGroup[col])
                for(int u : adj[v])
                    if(color[u] != col)
                        set.add(color[u]);
            
            if(maxCardinality < set.size() && colorGroup[col].size() > 0) {
                maxCardinality = set.size();
                maxColor = col;
            }
        }
        
        println(maxColor);
    }
    
    
    
    /************************ SOLUTION ENDS HERE ************************/
    
    
    
    
    
    /************************ TEMPLATE STARTS HERE **********************/
    
    public static void main(String[] args) throws IOException {
        reader = new BufferedReader(new InputStreamReader(System.in));
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)), false);
        st     = null;
        solve();
        reader.close();
        writer.close();
    }
    
    static BufferedReader reader;
    static PrintWriter    writer;
    static StringTokenizer st;
    
    static String next()
    {while(st == null || !st.hasMoreTokens()){try{String line = reader.readLine();if(line == null){return null;}            
    st = new StringTokenizer(line);}catch (Exception e){throw new RuntimeException();}}return st.nextToken();}
    static String nextLine()  {String s=null;try{s=reader.readLine();}catch(IOException e){e.printStackTrace();}return s;}             
    static int    nextInt()   {return Integer.parseInt(next());}
    static long   nextLong()  {return Long.parseLong(next());}     
    static double nextDouble(){return Double.parseDouble(next());}
    static char   nextChar()  {return next().charAt(0);}
    static int[]  nextIntArray(int n)         {int[] a= new int[n];   int i=0;while(i<n){a[i++]=nextInt();}  return a;}
    static long[] nextLongArray(int n)        {long[]a= new long[n];  int i=0;while(i<n){a[i++]=nextLong();} return a;}    
    static int[]  nextIntArrayOneBased(int n) {int[] a= new int[n+1]; int i=1;while(i<=n){a[i++]=nextInt();} return a;}            
    static long[] nextLongArrayOneBased(int n){long[]a= new long[n+1];int i=1;while(i<=n){a[i++]=nextLong();}return a;}            
    static void   print(Object o)  { writer.print(o);  }
    static void   println(Object o){ writer.println(o);}
    
    /************************ TEMPLATE ENDS HERE ************************/
    
}