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())
if(m>=2*n):
    print('1'*n)
    print('1'*(n-2)+'2'+'0')
elif(m<n):
    print('1'*n)
    if(m==1):
        print('8'*(n-1)+'9')
    elif(m==2):
        print('8'*(n-2)+'9'+'0')
    else:
        print('8'*(n-m)+'9'+'0'*(n-(n-m+1)))
else:
    print('1'*n)
    ans=0
    k1=''
    count=0
    while(count+2<m):
        k1+='1'
        count+=2
    k1+='8'*(n-len(k1)-1)+'9'
    print(k1)