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:
import sys
from itertools import permutations

DEBUG = 0
if DEBUG:
    f = open("input.txt", "r")
    input = f.readline
else:
    input = sys.stdin.readline

def mp():
    return list(map(int, input().split()))

def main():
    INF = int(1e9)
    n, m = mp()
    a = '5' * 1000 + '4'
    b = '4' * 1000 + '6'
    print(a, b)
main()