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):
    ans = 0
    while x > 0:
        ans += x % 10
        x //= 10
    return ans


n, m = map(int, input().split())
a = 0
b = 0
sa = 0
sb = 0
while sa < n:
    a = a * 10 + 9
    sa += 9
while True:
    if m < a or s(m - a) < n:
        m *= 10
        continue
    else:
        print(a)
        print(m - a)
        exit(0)