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:
n, m = input().split()
n, m = int(n), int(m)


def list2int(lst):
    return int(''.join(str(element) for element in lst))


def int2list(integer):
    lst = []

    lst.append(integer % 10)
    integer //= 10
    while(integer != 0):
        lst.append(integer % 10)
        integer //= 10
    return lst


# the smallest number variable 'a' can take
a = list2int([9] * (n//9) + [n % 9])
c = list2int([1] + [0] * 2229)
b = c - a

print(a)
print(b)