Problem: Let s(x) be sum of digits in decimal representation of positive integer x. Given two integers n and m, find some positive integers a and b such that 

  * s(a) ≥ n, 
  * s(b) ≥ n, 
  * s(a + b) ≤ m. 

Input

The only line of input contain two integers n and m (1 ≤ n, m ≤ 1129).

Output

Print two lines, one for decimal representation of a and one for decimal representation of b. Both numbers must not contain leading zeros and must have length no more than 2230.

Examples

Input

6 5


Output

6 
7


Input

8 16


Output

35 
53

Note

In the first sample, we have n = 6 and m = 5. One valid solution is a = 6, b = 7. Indeed, we have s(a) = 6 ≥ n and s(b) = 7 ≥ n, and also s(a + b) = s(13) = 4 ≤ m.

Solution (in JAVA):

Solution:
import java.util.*; 
 
public class ProblemB_Unnatural_Conditions{


        static 	Scanner SC = new Scanner(System.in);
		static int n;
		static int m;
	public static void main(String [] args){
			
			n = SC.nextInt();
			m = SC.nextInt();
			
			for(int i = 0 ; i < n ; i++){
				System.out.printf("1");
			}
			System.out.println();
			for(int i = 0; i < n - 1 ; i++){
				System.out.printf("8");
			}
			System.out.println("9");

	}

}