Kurt reaches nirvana when he finds the product of all the digits of some positive integer. Greater value of the product makes the nirvana deeper.

Help Kurt find the maximum possible product of digits among all integers from 1 to n.

Input

The only input line contains the integer n (1 ≤ n ≤ 2⋅10^9).

Output

Print the maximum product of digits among all integers from 1 to n.

Examples

Input


390


Output


216


Input


7


Output


7


Input


1000000000


Output


387420489

Note

In the first example the maximum product is achieved for 389 (the product of digits is 3⋅8⋅9=216).

In the second example the maximum product is achieved for 7 (the product of digits is 7).

In the third example the maximum product is achieved for 999999999 (the product of digits is 9^9=387420489).
import java.util.*;
import java.io.*;
import java.util.regex.*;
import java.math.BigInteger;

public class Codeforces{
	
	static class MyScanner{
		BufferedReader br;
		StringTokenizer st;
		
		MyScanner(FileReader fileReader){
			br = new BufferedReader(fileReader);
		}
		
		MyScanner(){
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		
		String nn(){
			while(st == null || !st.hasMoreElements()){
				try{
					st = new StringTokenizer(br.readLine());
				}catch(IOException e){
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}
		
		char nc(){
			return nn().charAt(0);
		}
		
		int ni(){
			return Integer.parseInt(nn());
		}
		
		long nl(){
			return Long.parseLong(nn());
		}
		
		double nd(){
			return Double.parseDouble(nn());
		}
		
		int[] niArr0(int n){
			int[] ar = new int[n];
			for(int i = 0; i < n; i++) ar[i] = ni();
			return ar;
		}
		
		int[] niArr1(int n){
			int[] ar = new int[n + 1];
			for(int i = 1; i <= n; i++) ar[i] = ni();
			return ar;
		}
		
		long[] nlArr0(int n){
			long[] ar = new long[n];
			for(int i = 0; i < n; i++) ar[i] = nl();
			return ar;
		}
	}
	
	public static <T> void mprintln(T ... ar){
		for(T i: ar) out.print(i + " ");
		out.println();
	}
	
	private static PrintWriter out;
	
	public static void main(String[] args) throws FileNotFoundException{
		
		// Input from file
		// File inputFile = new File("JavaFile.txt");
		// File outputFile = new File("JavaOutputFile.txt");
		// FileReader fileReader = new FileReader(inputFile);
		// Here it ends
			
		MyScanner sc = new MyScanner();
		// MyScanner sc = new MyScanner(fileReader);
		
		out = new PrintWriter(new BufferedOutputStream(System.out)); // Output to console
		// out = new PrintWriter(new PrintStream(outputFile)); // Output to file
		
		getAns(sc);
		
		out.close();
	}
	
	private static void getAns(MyScanner sc){
		long n = sc.nl();
		out.println(dfs(n));
	}
	
	private static long dfs(long n){
		if(n == 0) return 1;
		if(n < 10) return n;
		return Math.max((n % 10) * dfs(n / 10), 9 * dfs(n / 10 - 1));
	}
}