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 PYTHON3):

Solution:
#!/usr/bin/python3

import math
import sys


def inp():
    return sys.stdin.readline().rstrip()


def main():
    N, M = [int(e) for e in inp().split()]

    a = int('1234567890' * 220)
    b = int('1' + '0' * 2200) - a
    assert sum([int(d) for d in str(a)]) >= 1129
    assert sum([int(d) for d in str(b)]) >= 1129
    assert sum([int(d) for d in str(a + b)]) == 1

    print(a)
    print(b)


if __name__ == '__main__':
    main()