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_digit(n):
	c=0
	x=n
	while x>0:
		c+=(x%10)
		x=x//10
	return c
n,m=map(int,input().split())
r='5'
su=5
while su<n:
	r='4'+r 
	su+=4
r=r[0:len(r)-1]
r+='5'
t1=""
for i in range(len(r)):
	t1+='5'
print(int(t1))
print(int(r))