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:
MAXN = 2230
n, m = list(map(int, input().split()))
a = list()
b = list()
c = list()
for i in range(0, MAXN):
	a.append(0)
	b.append(0)
	c.append(0)
s = 0
while s < n:
	for i in range(0, MAXN):
		a[i] += 1
		s += 1
		if s == n:
			break
a = a[::-1]
s = 0
while s < m:
	for i in range(0, MAXN):
		c[i] += 1
		s += 1
		if s == m:
			break
A = ""
C = ""
for i in range(0, MAXN):
	A += str(a[i])
	C += str(c[i])
AA = int(A)
CC = int(C)
BB = CC-AA
print(AA)
print(BB)