#include <bits/stdc++.h>
using namespace std;
int main(int argc, char const *argv[]) {
  int m, s;
  cin >> m >> s;
  int d = 0;
  int e = 0;
  string str = "";
  int sum = s;
  int length = m;
  if (s == 0 && m == 1)
    cout << "0 0" << endl;
  else if (sum == 0 || sum > 9 * length)
    cout << "-1 -1" << endl;
  else {
    while (length != 1) {
      if (d == 0) {
        e = 1;
        d = 1;
      } else {
        e = 0;
      }
      length = length - 1;
      for (int i = e; i < 10; ++i) {
        if (9 * length >= sum - i && sum - i >= 0) {
          sum = sum - i;
          str = str + char(48 + i);
          break;
        }
      }
    }
    str = str + char(48 + sum);
    cout << str << " ";
    str = "";
    length = m;
    sum = s;
    d = 0;
    while (length != 1) {
      if (d == 0) {
        e = 1;
        d = 1;
      } else {
        e = 0;
      }
      length = length - 1;
      for (int i = 9; i >= e; --i) {
        if (9 * length >= sum - i && sum - i >= 0) {
          sum = sum - i;
          str = str + char(48 + i);
          break;
        }
      }
    }
    str = str + char(48 + sum);
    cout << str << " " << endl;
  }
  return 0;
}

### Prompt

Please create a solution in cpp to the following problem:

You have a positive integer m and a non-negative integer s. Your task is to find the smallest and the largest of the numbers that have length m and sum of digits s. The required numbers should be non-negative integers written in the decimal base without leading zeroes.

Input

The single line of the input contains a pair of integers m, s (1 ≤ m ≤ 100, 0 ≤ s ≤ 900) — the length and the sum of the digits of the required numbers.

Output

In the output print the pair of the required non-negative integer numbers — first the minimum possible number, then — the maximum possible number. If no numbers satisfying conditions required exist, print the pair of numbers "-1 -1" (without the quotes).

Examples

Input

2 15


Output

69 96


Input

3 0


Output

-1 -1

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main(int argc, char const *argv[]) {
  int m, s;
  cin >> m >> s;
  int d = 0;
  int e = 0;
  string str = "";
  int sum = s;
  int length = m;
  if (s == 0 && m == 1)
    cout << "0 0" << endl;
  else if (sum == 0 || sum > 9 * length)
    cout << "-1 -1" << endl;
  else {
    while (length != 1) {
      if (d == 0) {
        e = 1;
        d = 1;
      } else {
        e = 0;
      }
      length = length - 1;
      for (int i = e; i < 10; ++i) {
        if (9 * length >= sum - i && sum - i >= 0) {
          sum = sum - i;
          str = str + char(48 + i);
          break;
        }
      }
    }
    str = str + char(48 + sum);
    cout << str << " ";
    str = "";
    length = m;
    sum = s;
    d = 0;
    while (length != 1) {
      if (d == 0) {
        e = 1;
        d = 1;
      } else {
        e = 0;
      }
      length = length - 1;
      for (int i = 9; i >= e; --i) {
        if (9 * length >= sum - i && sum - i >= 0) {
          sum = sum - i;
          str = str + char(48 + i);
          break;
        }
      }
    }
    str = str + char(48 + sum);
    cout << str << " " << endl;
  }
  return 0;
}

```