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).
3
1000000000 1000000000 10000000
 3
1 2 1
 3
4 10 11
 5
1000000000 5 5 4 4
 5
1000000000 1000000000 1000000000 1000000000 1000000000
 10
94 96 91 95 99 94 96 92 95 99
 7
9 7 7 8 8 7 8
 3
1 1 1
 3
677876423 834056477 553175531
 10
13 12 10 13 13 14 10 10 12 12
 5
1000000000 1 1 1 1
 100
1 555 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 97 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 984 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 562 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305
 4
1 2 3 4
 3
2 1 1
 4
1000000000 1000000000 1000000000 1000000000
 30
94 93 90 94 90 91 93 91 93 94 93 90 100 94 97 94 94 95 94 96 94 98 97 95 97 91 91 95 98 96

1005000000
 2
 13
 1000000000
 1250000000
 106
 9
 2
 1032554216
 14
 1000000000
 1000
 4
 2
 1333333334
 100

/*
 * DA-IICT
 * Author: Jugal Kalal
 */
import java.util.*;
import java.io.*;
import java.math.*;
import java.text.DecimalFormat;
public class Hackerearth{
	static long mod=(long)Math.pow(10,9)+7;
	public static void main(String args[]) {
        new Thread(null, new Runnable() {
            public void run() {
                try{
                    solve();
                    w.close();
                }
                catch(Exception e){
                    e.printStackTrace();
                }
            }
        }, "1", 1 << 26).start();
	}
	static InputReader in;
    static PrintWriter w;
    static void solve(){
        in = new InputReader(System.in);
        w = new PrintWriter(System.out);
        long n=in.nextInt();
        long total=0;
        for(int i=0;i<n;i++) {
        		total+=in.nextLong();
        }
        long l=1,r=(long)Math.pow(10,16);
        long ans=1;
        while(l<=r) {
        		long mid=(l+r)>>1;
        		if(mid*n-total>=n) {
        			ans=mid;
        			r=mid-1;
        		}else {
        			l=mid+1;
        		}
        }
        w.println(ans);
    }
    static class Pair{
    		int l;
    		int r;
    		public Pair(int l,int r) {
    			this.l=l;
    			this.r=r;
    		}
    }
    static ArrayList<Integer> adj[]; //Adjacency Lists
    static int V;   // No. of vertices
    // Constructor
    static void Graph(int v){
        V = v;
        adj = new ArrayList[v];
        for (int i=0; i<v; ++i){
        		adj[i] = new ArrayList();
        }
    }
    
    // Function to add an edge into the graph
    static void addEdge(int u,int v){
		adj[u].add(v);
		adj[v].add(u);
    }
//    static long[] isHamiltonian_path(int n){
//    	boolean dp[][]=new boolean[n][1<<n];
//    	long ans[]=new long[n];
//    	long sum[]=new long[n];
//    	for(int i=0;i<n;i++){
//    		dp[i][1<<i]=true;
//    		ans[i]=0;
//    		sum[i]=i+1;
//    	}
//    	for(int mask=0;mask<(1<<n);mask++){
//    		int s=0;
//    		int count=0,temp=mask;
//    		while(temp>0){
//    			s+=1+Math.log(temp&(-temp))/Math.log(2);
//    			temp=temp&(temp-1);
//    			count++;
//    		}
//    		for(int j=0;j<n;j++){
//    			if((mask&(1<<j))>0){
//    				for(int k=0;k<n;k++){
//    					if(j!=k&&(mask&(1<<k))>0&&adj[j][k]&&dp[k][mask^(1<<j)]){
//    						dp[j][mask]=true;
//    						ans[j]=Math.max(ans[j],count-1);
//    						if(ans[j]==count-1){
//    							sum[j]=Math.max(sum[j], s);
//    						}
//    					}
//    				}
//    			}
//    		}
//    	}
//    	return sum;
//    }
//    static void bfs(int s,int n){
//    	boolean visited[]=new boolean[n];
//    	LinkedList<Integer> queue=new LinkedList<Integer>();
//    	queue.add(s);
//    	visited[s]=true;
//    	while(!queue.isEmpty()){
//    		int num=queue.pop();
////    		System.out.println(ans.toString());
//    		for(int i=0;i<adj[num].size();i++){
//    			if(!visited[adj[num].get(i)]){
//    				visited[adj[num].get(i)]=true;
//    				queue.add(adj[num].get(i));
//    			}
//    		}
//    	}
//    }
    static long gcd(long a,long b){
		if(a==0){
			return b;
		}
		return gcd(b%a,a);
	}
    static long power(long base, long exponent, long modulus){
	    long result = 1L;
	    while (exponent > 0) {
	        if (exponent % 2L == 1L)
	            result = (result * base) % modulus;
	        exponent = exponent >> 1;
	        base = (base * base) % modulus;
	    }
	    return result;
	}
    static HashMap<Long,Long> primeFactors(long n){
        HashMap<Long,Long> ans=new HashMap<Long,Long>();
    	// Print the number of 2s that divide n
        while (n%2L==0L)
        {
            if(ans.containsKey(2L)){
            	ans.put(2L,ans.get(2L)+1L);
            }else{
            	ans.put(2L,1L);
            }
            n /= 2L;
        }
 
        // n must be odd at this point.  So we can
        // skip one element (Note i = i +2)
        for (long i = 3; i <= Math.sqrt(n); i+= 2L)
        {
            // While i divides n, print i and divide n
            while (n%i == 0)
            {
            	if(ans.containsKey(i)){
                	ans.put(i,ans.get(i)+1L);
                }else{
                	ans.put(i,1L);
                }
                n /= i;
            }
        }
 
        // This condition is to handle the case whien
        // n is a prime number greater than 2
        if (n > 2)
            ans.put(n,1L);
        return ans;
    }
////for marking all prime numbers greater than 1 and less than equal to N
	static boolean[] sieve(int N) {
		 boolean isPrime[]=new boolean[N+1];
		 isPrime[0] = true;
		 isPrime[1] = true;
		 for(int i = 2; i * i <= N; ++i) {
		      if(isPrime[i] == false) {//Mark all the multiples of i as composite numbers
		          for(int j = i * i; j <= N ;j += i)
		              isPrime[j] = true;
		     }
		 }
		 return isPrime;
	}
//  //if  str2 (pattern) is subsequence of str1 (Text) or not
//	static boolean function(String str1,String str2){
//	     str2 = str2.replace("", ".*");  //returns .*a.*n.*n.*a.
//	     return (str1.matches(str2));  // returns true
//	}
    static int Arr[];
    static long size[];
  //modified initialize function:
    static void initialize(int N){
    	Arr=new int[N];
    	size=new long[N];
        for(int i = 0;i<N;i++){
        	Arr[ i ] = i ;
        	size[ i ] = 1;
        }
    }
    static boolean find(int A,int B){
        if( root(A)==root(B) )       //if A and B have same root,means they are connected.
        return true;
        else
        return false;
    }
 // modified root function.
    static void weighted_union(int A,int B,int n){
        int root_A = root(A);
        int root_B = root(B);
        if(size[root_A] < size[root_B ]){
        	Arr[ root_A ] = Arr[root_B];
        	size[root_B] += size[root_A];
        }
        else{
        	Arr[ root_B ] = Arr[root_A];
        	size[root_A] += size[root_B];
        }
    }
    static int root (int i){
        while(Arr[ i ] != i){
            Arr[ i ] = Arr[ Arr[ i ] ] ; 
            i = Arr[ i ]; 
        }
        return i;
    }
    
 
	static boolean isPrime(long n) {
		if(n < 2L) return false;
		if(n == 2L || n == 3L) return true;
		if(n%2L == 0 || n%3L == 0) return false;	
		long sqrtN = (long)Math.sqrt(n)+1L;
		for(long i = 6L; i <= sqrtN; i += 6L) {
			if(n%(i-1) == 0 || n%(i+1) == 0) return false;
		}
		return true;
	}
//	static HashMap<Integer,Integer> level;;
//	static HashMap<Integer,Integer> parent;
	static int maxlevel=0;
	
//	static boolean T[][][];
//	static void subsetSum(int input[], int total, int count) {
//        T = new boolean[input.length + 1][total + 1][count+1];
//        for (int i = 0; i <= input.length; i++) {
//        	T[i][0][0] = true;
//        	for(int j = 1; j<=count; j++){
//        		T[i][0][j] = false;
//        	}
//        }
//        int sum[]=new int[input.length+1];
//        for(int i=1;i<=input.length;i++){
//            sum[i]=sum[i-1]+input[i-1];
//        }
//        for (int i = 1; i <= input.length; i++) {
//            for (int j = 1; j <= (int)Math.min(total,sum[i]); j++) {
//            	for (int k = 1; k <= (int)Math.min(i,count); k++){
//            		 if (j >= input[i - 1]) {//Exclude and Include
//                         T[i][j][k] = T[i - 1][j][k] || T[i - 1][j - input[i - 1]][k-1];
//                     } else {
//                         T[i][j][k] = T[i-1][j][k];
//                     }
//            	}
//            }
//        }
//    }
//	static <K,V extends Comparable<? super V>>
//	SortedSet<Map.Entry<K,V>> entriesSortedByValues(Map<K,V> map) {
//	    SortedSet<Map.Entry<K,V>> sortedEntries = new TreeSet<Map.Entry<K,V>>(
//	        new Comparator<Map.Entry<K,V>>() {
//	            @Override public int compare(Map.Entry<K,V> e1, Map.Entry<K,V> e2) {
//	                int res = e2.getValue().compareTo(e1.getValue());
//	                return res != 0 ? res : 1;
//	            }
//	        }
//	    );
//	    sortedEntries.addAll(map.entrySet());
//	    return sortedEntries;
//	}
	
 
	 
	//minimum prime factor of all the numbers less than n
    static int minPrime[];
	static void minimumPrime(int n){
		minPrime=new int[n+1];
		minPrime[1]=1;
        for (int i = 2; i * i <= n; ++i) {
            if (minPrime[i] == 0) {         //If i is prime
                for (int j = i * i; j <= n; j += i) {
                    if (minPrime[j] == 0) {
                        minPrime[j] = i;
                    }
                }
            }
        }
        for (int i = 2; i <= n; ++i) {
            if (minPrime[i] == 0) {
                minPrime[i] = i;
            }
        }
	}
	static long modInverse(long A, long M)
	{
		long x=extendedEuclid(A,M)[0];
		return (x%M+M)%M;    //x may be negative
	}
	static long[] extendedEuclid(long A, long B) {
		if(B == 0) {
			long d = A;
			long x = 1;
			long y = 0;
			return new long[]{x,y,d};
		}
		else {
			long arr[]=extendedEuclid(B, A%B);
			long temp = arr[0];
			arr[0] = arr[1];
			arr[1] = temp - (A/B)*arr[1];
			return arr;
		}
	}
 
	static class InputReader {
        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, numChars;
        private SpaceCharFilter filter;
 
        public InputReader(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 String nextLine() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndOfLine(c));
            return res.toString();
        }
 
        public String readString() {
            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 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 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 < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        public int[] nextIntArray(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextInt();
            }
            return arr;
        }
 
        public long[] nextLongArray(int n) {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextLong();
            }
            return arr;
        }
 
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
 
        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
	}
} 