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(n):
    n = int(n)
    res = 0
    while(n):
        res+=n%10
        n//=10
    return res

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


if(n%2 == 0):
    n//=2
    a='2'*n
    b='7'*(n-1)+'8'
else:
    n-=1
    n//2
    a = '2'*(n-1)+'1'
    b = '7'*(n-1)+'9'
print(a)
print(b)