One day n friends gathered together to play "Mafia". During each round of the game some player must be the supervisor and other n - 1 people take part in the game. For each person we know in how many rounds he wants to be a player, not the supervisor: the i-th person wants to play ai rounds. What is the minimum number of rounds of the "Mafia" game they need to play to let each person play at least as many rounds as they want?

Input

The first line contains integer n (3 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the i-th number in the list is the number of rounds the i-th person wants to play.

Output

In a single line print a single integer — the minimum number of game rounds the friends need to let the i-th person play at least ai rounds.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

Examples

Input

3
3 2 2


Output

4


Input

4
2 2 2 2


Output

3

Note

You don't need to know the rules of "Mafia" to solve this problem. If you're curious, it's a game Russia got from the Soviet times: http://en.wikipedia.org/wiki/Mafia_(party_game).


    //------------------>>>>>>>>>>>>>>>> HI . HOW ARE YOU? <<<<<<<<<<<<<<<<<<<<<<<<<<<<<------------------------------

import java.util.*;
import java.math.*;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

     //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<-------------------

public class a{ 
     static long[] count,count1,count2;
     static boolean[] prime;
     static int[] spf;
     static Node[] nodes,nodes1,nodes2;
     static NodeInt[] nodesInt,nodesInt1;
     static long[] arr;
     static long[][] cost;
     static int[] arrInt,darrInt,farrInt;
     static long[][] dp;
     static char[] ch,ch1;
     static long[] darr,farr;
     static long[][] mat,mat1;
     static boolean[] vis;
     static long x,h;
     static long maxl;
     static double dec;
     static long mx = (long)1e7;
     static long inf = (long)1e15;
     static String s,s1,s2,s3,s4;
     static long minl;   
     static long mod = ((long)(1e9))+7;
     // static int minl = -1;
     // static long n;
     static int n,n1,n2,q,r1,c1,r2,c2;
     static int arr_size = (int)2e5+10;
     static long a;
     static long b;
     static long c;
     static long d;
     static long y,z;
     static int m;
     static int ans;
     static long k;
     static FastScanner sc;
     static String[] str,str1;
     static Set<String> set,set1,set2;
     static SortedSet<Long> ss;
     static List<Integer> list,list1,list2,list3;
     static PriorityQueue<Node> pq,pq1;
     static LinkedList<Node> ll,ll1,ll2;
     static Map<Integer,List<Integer>> map2;
     static Map<Integer,Integer> map;
     static Map<Integer,Node> map1;
     static StringBuilder sb,sb1,sb2;
     static int index;
     static long[] sum;
     static int[] dx = {0,-1,0,1,-1,1,-1,1};
     static int[] dy = {-1,0,1,0,-1,-1,1,1};

     // public static void solve(){

     //    FastScanner sc = new FastScanner();
     //    // int t = sc.nextInt();
     //    int t = 1;
     //    for(int tt = 0 ; tt < t ; tt++){

     //        // s = sc.next();
     //        // s1 = sc.next();

     //        n = sc.nextInt();

     //        m = sc.nextInt();

     //        // int k = sc.nextInt();

     //        // sb = new StringBuilder();

     //        map = new HashMap<>();
     //        map1 = new HashMap<>();

     //        // q = sc.nextInt();
     //        // sb = new StringBuilder();
     //        // long k = sc.nextLong();

     //        // ch = sc.next().toCharArray();

     //        // count = new int[200002];
           
     //        // m = sc.nextInt();

     //        for(int o = 0 ; o < m ; o++){

     //            int l = sc.nextInt()-1;
     //            int r = sc.nextInt()-1;

     //        }

     //    }
        
     // }

     //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<--------------------

     public static void solve(){

        long sum = 0;
        long maxl = -1;
        for(int i = 0 ; i < n ; i++){
            sum += arr[i];
            maxl = max(maxl,arr[i]);
        }

        System.out.println(max(maxl,(sum+n-2)/(n-1)));

     }

        
     public static void main(String[] args) {

            sc = new FastScanner();
            // Scanner sc = new Scanner(System.in);
            // int t = sc.nextInt();
            int t = 1;
            // int l = 1;
            while(t > 0){
                
                // n = sc.nextInt();
                // n = sc.nextLong();
                // k = sc.nextLong();
                // x = sc.nextLong();
                // y = sc.nextLong();
                // z = sc.nextLong();

                // a = sc.nextLong();
                // b = sc.nextLong();
                // c = sc.nextLong();
                // d = sc.nextLong();

                // x = sc.nextLong();
                // y = sc.nextLong();
                // z = sc.nextLong();
                // d = sc.nextLong();

                n = sc.nextInt();

                // n1 = sc.nextInt();

                // m = sc.nextInt();
                // q = sc.nextInt();

                // a = sc.nextLong();
                // b = sc.nextLong();

                // k = sc.nextLong();

                // x = sc.nextLong();
                // d = sc.nextLong();

                // s = sc.next();

                // ch = sc.next().toCharArray();
                // ch1 = sc.next().toCharArray();

                // m = sc.nextInt();
                // n = 6;

                arr = new long[n];
                for(int i = 0 ; i < n ; i++){
                    arr[i] = sc.nextLong();
                }

                // arrInt = new int[n];
                // for(int i = 0 ; i < n ; i++){
                //     arrInt[i] = sc.nextInt();
                // }
                // x = sc.nextLong();
                // y = sc.nextLong();
                // ch = sc.next().toCharArray();
                // m = n;
                // m = sc.nextInt();
                // darr = new long[m];
                // for(int i = 0 ; i < m ; i++){
                //     darr[i] = sc.nextLong();
                // }
                // k = sc.nextLong();
                // m = n;
                // darrInt = new int[n];
                // for(int i = 0 ; i < n ; i++){
                //     darrInt[i] = sc.nextInt();
                // }

                // farrInt = new int[m];
                // for(int i = 0; i < m ; i++){
                //     farrInt[i] = sc.nextInt();
                // }

                // m = n;
                // mat = new long[n+1][m+1];
                // for(int i = 1 ; i <= n ; i++){
                //     for(int j = 1 ; j <= m ; j++){
                //         mat[i][j] = sc.nextLong();
                //     }
                // }

                // m = n;
                // mat = new char[n][m];
                // for(int i = 0 ; i < n ; i++){
                //     String s = sc.next();
                //     for(int j = 0 ; j < m ; j++){
                //         mat[i][j] = s.charAt(j);
                //     }
                // }

                // str = new String[n];
                // for(int i = 0 ; i < n ; i++)
                //     str[i] = sc.next();

                // nodes = new Node[n];
                // for(int i = 0 ; i < n ;i++)
                //     nodes[i] = new Node(sc.nextLong(),sc.nextLong());

                // nodesInt = new NodeInt[n];
                // for(int i = 0 ; i < n ;i++)
                //     nodesInt[i] = new NodeInt(sc.nextInt(),sc.nextInt(),i);

                 solve();       
                 t -= 1;
            }

     }

    public static int log(long n,long base){

         if(n == 0 || n == 1)
             return 0;

         if(n == base)
             return 1;

         double num = Math.log(n);
         double den = Math.log(base);

         if(den == 0)
             return 0;

         return (int)(num/den);
     }

    public static boolean isPrime(long n) { 
    // Corner cases 
        if (n <= 1)  
            return false; 

        if (n <= 3)  
            return true; 
      
        // This is checked so that we can skip  
        // middle five numbers in below loop 
        if (n%2 == 0 || n%3 == 0) 
            return false; 
      
        for (int i=5; i*i<=n; i=i+6) 
            if (n%i == 0 || n%(i+2) == 0) 
               return false; 
      
        return true; 
    } 

    public static void SpecialSieve(int MAXN) 
    {   
        spf = new int[MAXN];
        spf[1] = 1; 
        for (int i=2; i<MAXN; i++) 
       
            // marking smallest prime factor for every 
            // number to be itself. 
            spf[i] = i; 
       
        // separately marking spf for every even 
        // number as 2 
        for (int i=4; i<MAXN; i+=2) 
            spf[i] = 2; 
       
        for (int i=3; i*i<MAXN; i++) 
        { 
            // checking if i is prime 
            if (spf[i] == i) 
            { 
                // marking SPF for all numbers divisible by i 
                for (int j=i*i; j<MAXN; j+=i) 
       
                    // marking spf[j] if it is not  
                    // previously marked 
                    if (spf[j]==j) 
                        spf[j] = i; 
            } 
        } 
    } 

    public static ArrayList<Integer> getFactorization(int x) 
    { 
        ArrayList<Integer> ret = new ArrayList<Integer>(); 
        while (x != 1) 
        { 
            ret.add(spf[x]); 
            x = x / spf[x]; 
        } 
        return ret; 
    } 


    public static long gcd(long a, long b)
    {
      if (b == 0)
        return a;
      return gcd(b, a % b); 
    }

    public static long lcm(long a, long b)
    {
      return (b/gcd(b, a % b)) * a; 
    }

     public static long mod_inverse(long a,long mod){
        long x1=1,x2=0;
        long p=mod,q,t;
        while(a%p!=0){
          q = a/p;
          t = x1-q*x2;
          x1=x2; x2=t;
          t=a%p;
          a=p; p=t;
        }
        return x2<0 ? x2+mod : x2;
    }

     public static void swap(long[] curr,int i,int j){
         long temp = curr[j];
         curr[j] = curr[i];
         curr[i] = temp;
     }

    static final Random random=new Random();

    static void ruffleSortLong(long[] a) {
        int n=a.length;//shuffle, then sort 
        for (int i=0; i<n; i++) {
            int oi=random.nextInt(n);
            long temp=a[oi];
            a[oi]=a[i]; a[i]=temp;
        }
        Arrays.sort(a);
    }

    static void ruffleSortInt(int[] a) {
        int n=a.length;//shuffle, then sort 
        for (int i=0; i<n; i++) {
            int oi=random.nextInt(n);
            int temp=a[oi];
            a[oi]=a[i]; a[i]=temp;
        }
        Arrays.sort(a);
    }
    
    static void ruffleSortChar(char[] a) {
        int n=a.length;//shuffle, then sort 
        for (int i=0; i<n; i++) {
            int oi=random.nextInt(n);
            char temp=a[oi];
            a[oi]=a[i]; a[i]=temp;
        }
        Arrays.sort(a);
    }

    static long binomialCoeff(long n, long k){ 

        long res = 1; 
  
        // Since C(n, k) = C(n, n-k) 
        if (k > n - k) 
            k = n - k; 
  
        // Calculate value of 
        // [n * (n-1) *---* (n-k+1)] / [k * (k-1) *----* 1] 
        for (long i = 0; i < k; ++i) { 
            res = (res*(n - i)); 
            res = (res/(i + 1)); 
        } 

        return res; 
    } 

    static long[] fact;

    public static long inv(long n){
        return power(n, mod-2);
    }

    public static void fact(int n){
        fact = new long[n+1];
        fact[0] = 1;
        for(int j = 1;j<=n;j++)
            fact[j] = (fact[j-1]*(long)j)%mod;               
    }

    public static long binom(int n, int k){
        fact(n+1);
        long prod = fact[n];
        prod*=inv(fact[n-k]);
        prod%=mod;
        prod*=inv(fact[k]);
        prod%=mod;
        return prod;    
    }

    static long power(long x, long y){
        if (y == 0)
            return 1;
        if (y%2 == 1)
            return (x*power(x, y-1))%mod;
        return power((x*x)%mod, y/2)%mod;
    }

    public static long pow(long n,long p,long m){
     long  result = 1;
      if(p==0)
        return 1;
          
    while(p!=0)
    {
        if(p%2==1)
            result *= n;
        if(result>=m)
        result%=m;
        p >>=1;
        n*=n;
        if(n>=m)
        n%=m;
    }
    return result;
    }

    static void sieve(int n){ 

        prime = new boolean[n+1]; 
        for(int i=2;i<n;i++) 
            prime[i] = true; 
          
        for(int p = 2; p*p <=n; p++) 
        { 
            if(prime[p] == true) 
            { 
                for(int i = p*p; i <= n; i += p) 
                    prime[i] = false; 
            } 
        } 

    }

    static class Node{
        long first;
        int second;
        Node(long f,int s){
            this.first = f;
            this.second = s;
        }
    }

    static class NodeInt{
        int first;
        int second;
        int third;
        NodeInt(int f,int s,int third){
            this.first = f;
            this.second = s;
            this.third = third;
        }
    }

    static long abs(long a){
        return Math.abs(a);
    }

    static int abs(int a){
        return Math.abs(a);
    }

    static int max(int a,int b){
    if(a>b)
            return a;
    else
            return b;
    }
 
    static int min(int a,int b){
    if(a>b)
            return b;
    else 
            return a;
    }
 
    static long max(long a,long b){
    if(a>b)
            return a;
    else
            return b;
    }
 
    static long min(long a,long b){
    if(a>b)
            return b;
    else 
            return a;
    }

    static long sq(long num){
        return num*num;
    }

    static double sq(double num){
        return num*num;
    }

    static long sqrt(long num){
        return (long)Math.sqrt(num);
    }

    static double sqrt(double num){
        return Math.sqrt(num);
    }

     static class FastScanner {

                BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
                StringTokenizer st=new StringTokenizer("");
                String next() {
                        while (!st.hasMoreTokens())
                                try {
                                        st=new StringTokenizer(br.readLine());
                                } catch (IOException e) {
                                        e.printStackTrace();
                                }
                        return st.nextToken();
                }
                
                int nextInt() {
                        return Integer.parseInt(next());
                }
                int[] readArray(int n) {
                        int[] a=new int[n];
                        for (int i=0; i<n; i++) a[i]=nextInt();
                        return a;
                }
                long nextLong() {
                        return Long.parseLong(next());
                }
        }

}