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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int inf = 0x3f3f3f3f;
int n, m;
int main(int argc, char* argv[]) {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n >> m;
  int cnt1 = n;
  int cnt2 = n - 1;
  int tmp = 0;
  int res = 1;
  while (cnt1--) cout << 1;
  cout << endl;
  cout << 9;
  while (cnt2--) cout << 8;
  cout << 9 << endl;
  return 0;
}