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 = map(int, input().split())
a = []
b = []
check = True
while n >= 0:
    if check == True:
        a.append(5)
        n -= 5
        b.append(4)
        check = False
    else:
         check = True
         a.append(4)
         n -= 4
         b.append(5)


if m != 1:
    a.append(5)
    b.append(6)
else:
    a.append(5)
    b.append(5)

print(*a, sep = "")
print(*b, sep = "")