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.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.util.*;

import javax.swing.text.InternationalFormatter;

import java.math.*;

import org.omg.CORBA.Any;

public class template {

	static int n = 0, m = 0, k = 0;

	public static void main(String[] args) throws IOException {
		Scanner scn = new Scanner(System.in);

		long n = scn.nextLong();

		StringBuilder sb = new StringBuilder(Long.toString(n));

		int ans = 1, d = 1;
		ans = power(9, sb.length() - 1);
		for (int i = 0; i < sb.length(); i++) {
			ans = Math.max(ans, d * power(9, sb.length() - i - 1) * (sb.charAt(i) - '1'));
			d = d * (sb.charAt(i) - '0');
		}

		//
		System.out.println(Math.max(ans, d));

	}

	static int power(int a, long l) {
		int ans = 1;
		for (int i = 1; i <= l; i++)
			ans = ans * a;
		return ans;
	}

	//

}

// _________________________TEMPLATE_____________________________________________________________

class pair implements Comparable<pair> {
	int rating;
	int div;

	pair(int l, int b) {
		rating = l;
		div = b;
	}

	@Override
	public int compareTo(pair o) {

		return this.rating - o.rating;
	}

	public static void printarray(long[] dp1) {
		for (long i : dp1)
			System.out.print(i + " ");
		System.out.println();
	}

	public static void inputarray(long[] a, int n, Reader scn) throws IOException {
		for (int i = 0; i < n; i++)
			a[i] = scn.nextLong();
	}

	public static class Reader {
		final private int BUFFER_SIZE = 1 << 16;
		private DataInputStream din;
		private byte[] buffer;
		private int bufferPointer, bytesRead;

		public Reader() {
			din = new DataInputStream(System.in);
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public Reader(String file_name) throws IOException {
			din = new DataInputStream(new FileInputStream(file_name));
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public String readLine() throws IOException {
			byte[] buf = new byte[100000 + 1]; // line length
			int cnt = 0, c;
			while ((c = read()) != -1) {
				if (c == '\n')
					break;
				buf[cnt++] = (byte) c;
			}
			return new String(buf, 0, cnt);
		}

		public int nextInt() throws IOException {
			int ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return -ret;
			return ret;
		}

		public long nextLong() throws IOException {
			long ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');
			if (neg)
				return -ret;
			return ret;
		}

		public double nextDouble() throws IOException {
			double ret = 0, div = 1;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();

			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}

			if (neg)
				return -ret;
			return ret;
		}

		private void fillBuffer() throws IOException {
			bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
			if (bytesRead == -1)
				buffer[0] = -1;
		}

		private byte read() throws IOException {
			if (bufferPointer == bytesRead)
				fillBuffer();
			return buffer[bufferPointer++];
		}

		public void close() throws IOException {
			if (din == null)
				return;
			din.close();
		}
	}

	// private static void rem(HashMap<Integer, Integer> hm) {
	//
	// Iterator<Map.Entry<Integer, Integer>> itr = hm.entrySet().iterator();
	// ArrayList<Integer> p=new ArrayList<>();
	//
	//
	// while(itr.hasNext()){
	// Map.Entry<Integer, Integer> entry = itr.next();
	// p.add(entry.getKey());
	//
	// }
	//
	//
	// for(int i:p){
	//
	// if(hm.get(i)>1)
	// hm.put(i, hm.get(i)-1);
	// else
	// hm.remove(i);
	// }
	// }

}