#P3537. Crosses and Crosses
Crosses and Crosses
Description
The game of Crosses and Crosses is played on the field of 1 × n cells. Two players make moves in turn. Each move the player selects any free cell on the field and puts a cross ‘×’ to it. If after the player’s move there are three crosses in a row, he wins.
You are given n. Find out who wins if both players play optimally.
Input
Input file contains one integer number n (3 ≤ n ≤ 2000).
Output
Output ‘1’ if the first player wins, or ‘2’ if the second player does.
<table style="border-color: black; border-collapse: collapse;" border="1"><tbody><tr><th>#1</th><td>3</td></tr><tr><th>#2</th><td>6</td></tr></tbody></table>
<table style="border-color: black; border-collapse: collapse;" border="1"><tbody><tr><th>#1</th><td>1</td></tr><tr><th>#2</th><td>2</td></tr></tbody></table>
Source
Northeastern Europe 2007, Northern Subregion