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 sum_n(n):
    c = 0
    while n>0:
        c +=n%10
        n = n//10
    return c

def numd(n):
    d = 0
    while n>0:
        d +=1
        n = n//10

    return d


s = input().split(" ")
n = int(s[0])
m = int(s[1])
maxm = sum_n(n+m)
print("1"*max((n),(m)))
print("8"*(max(n,m)-1)+"9")