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).
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Solution {

//		public static final double eps = 1e-9;
//		public static final int mod = 1000000007;
//		public static final double pi = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679;
//		public static final int dx[] = {1, -1, 0, 0};
//		public static final int dy[] = {0, 0, 1, -1};

	public static void main(String[] args) throws IOException {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		OutputWriter out = new OutputWriter(outputStream);
		Task solver = new Task();
		solver.solve(1, in, out);
		out.close();
	}

	static class Task {

		public void solve(int testNumber, InputReader in, OutputWriter out) throws IOException {
			int n = in.nextInt();
			int max = Integer.MIN_VALUE;
			long sum = 0;
			for (int i = 0; i < n; i++) {
				int num = in.nextInt();
				max = Math.max(max, num);
				sum += num;
			}
			long ans = (long) Math.ceil((double) sum / (double) (n - 1));
			out.println(Math.max(max, ans));
		}

//		static class Node {
//			String name;
//			LinkedList<Node> list;
//			
//			public Node(String name) {
//				this.name = name;
//				list = new LinkedList<>();
//			}
//		}
//        
//		static class Pair<T> {   	
//	      	T first, second;
//		        	
//		    public Pair(T first, T second) {
//	    		this.first = first;
//				this.second = second;
//			}
//	    }
		
//		public final int sievesize = (int) (1e6);
//		public boolean[] prime;
//		
//		public void sieve(){
//			prime = new boolean[sievesize + 1];
//			Arrays.fill(prime, true);
//		    for(int x = 2; x * x < sievesize; x++)
//		    { 
//		    	if(prime[x])
//		    		for(int y = x * 2; y < sievesize; y += x) 
//		    			prime[y] = false; 
//		    }
//		}
	}

//		public static int[] shuffle(int arr[], Random gen) {
//			for (int i = arr.length - 1; i > 0; i--) {
//	            int index = gen.nextInt(i + 1);
//	            int temp = arr[index];
//	            arr[index] = arr[i];
//	            arr[i] = temp;
//	        }
//			return arr;
//		}
	//
	//	public static boolean triangle(long a, long b, long c){
	//	    return ((a+b) > c && (b+c) >a && (a+c) > b);
	//	}
	//		
	//	public static boolean isPerfectSquare(long n){
	//		if (n < 0) 
	//	    	return false;
	//	    long test = (long) (Math.sqrt(n) + 0.5);
	//	    return test*test == n;
	//	}
	//		
	//	public static int isnum(char s){
	//		if(s=='1' || s=='2' || s=='3' || s=='4' || s=='5' || s=='6' || s=='7' || s=='8' || s=='9' || s=='0') 
	//	    	return 1; 
	//		return 0;
	//	}
	//		
	//	public static long nextPowerOf2(long n){
	//	    n--;
	//	    n |= n >> 1;
	//	    n |= n >> 2;
	//	    n |= n >> 4;
	//	    n |= n >> 8;
	//	    n |= n >> 16;
	//	    n++;
	//	    return n;
	//	}
	//		
//		public static int gcd(int a, int b){
//		    int t; 
//		    while (b > 0){ 
//		    	a = a % b; 
//		    	t = a; 
//		    	a = b; 
//		    	b = t; 
//	    	}
//		    return a;
//		}
	//		

	static class InputReader {
		public BufferedReader reader;
		public StringTokenizer tokenizer;

		public InputReader(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream), 32768);
			tokenizer = null;
		}

		public String next() {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			return tokenizer.nextToken();
		}

		public int nextInt() {
			return Integer.parseInt(next());
		}

		public long nextLong() {
			return Long.parseLong(next());
		}
		
		public char nextChar() {
			return next().charAt(0);
		}
		
		public float nextFloat() {
			return Float.parseFloat(next());
		}
		
		public double nextDouble() {
			return Double.parseDouble(next());
		}

		public int[] nextIntArray(int size) {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			int[] arr=new int[size];
			for(int i = 0; i < size; i++) 
				arr[i] = Integer.parseInt(tokenizer.nextToken());
			return arr;
		}

		public long[] nextLongArray(int size) {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			long[] arr=new long[size];
			for(int i = 0; i < size; i++) 
				arr[i] = Long.parseLong(tokenizer.nextToken());
			return arr;
		}
		
		public float[] nextFloatArray(int size) {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			float[] arr=new float[size];
			for(int i = 0; i < size; i++) 
				arr[i] = Float.parseFloat(tokenizer.nextToken());
			return arr;
		}

		public double[] nextDoubleArray(int size) {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			double[] arr=new double[size];
			for(int i = 0; i < size; i++) 
				arr[i] = Double.parseDouble(tokenizer.nextToken());
			return arr;
		}

		public String[] nextStringArray(int size) throws IOException {
			String[] arr=new String[size];
			for(int i = 0; i < size; i++) 
				arr[i] = reader.readLine();
			return arr;
		}

		public char[] nextCharArray(int size) throws IOException {
			return reader.readLine().toCharArray();
		}
	}

	static class OutputWriter {
		public PrintWriter pw;

		public OutputWriter(OutputStream stream) {
			pw = new PrintWriter(stream);
		}
		
		public void println() {
			pw.println();
		}

		public void println(Object str) {
			pw.println(str);
		}

		public void print(Object str) {
			pw.print(str + " ");
		}

		public void close() {
			pw.close();
		}

		public void flush() {
			pw.flush();
		}

		public void printStringArray(String[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.println(arr[i]);
		}

		public void printIntArray(int[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.print(arr[i] + " ");
		}

		public void printLongArray(long[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.print(arr[i] + " ");
		}

		public void printCharArray(char[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.print(arr[i] + " ");
		}

		public void printFloatArray(float[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.print(arr[i] + " ");
		}

		public void printDoubleArray(double[] arr) {
			for(int i = 0; i < arr.length; i++)
				pw.print(arr[i] + " ");
		}
	}
}