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Problem G
Knight Packing
On a $N \times N$ chess board, two players alternate placing a knight on the board. A knight can only be placed if there is no other knight which would be either $1$ row and $2$ columns or $2$ rows and $1$ column away from it. The first player who cannot place a knight on the board loses.
Given the size of the board, compute if the first or second player wins.
Input
The first and only line contains the integer $N$ ($1 \le N \le 1000$), the size of the board.
Output
Output first if the first player wins the game, or second if the second player wins the game.
| Sample Input 1 | Sample Output 1 |
|---|---|
1 |
first |
| Sample Input 2 | Sample Output 2 |
|---|---|
2 |
second |
| Sample Input 3 | Sample Output 3 |
|---|---|
3 |
first |
