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=[1]
b=[8]
sa=ca=1
sb=cb=8
while sa<n or sb<n:
    ca=(ca+1)%10
    cb=(cb+9)%10
    sa+=ca
    sb+=cb
    a.append(ca)
    b.append(cb)
a.append((ca+1)%10)
b.append(cb)
a=map(str,a)
b=map(str,b)
print("".join(a))
print("".join(b))