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:
def s(x):
    cnt = 0
    tmp = list(str(x))
    for i in tmp:
        cnt += int(i)
    return cnt


n, m = input().split()
n = int(n)
m = int(m)
for i in range(1, 10):
    tmp = 10 ** 2229
    left = tmp // i
    right = tmp - left
    if s(left) >= n and s(right) >= m:
        print(left)
        print(right)
        break