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图灵 OJTURING / ONLINE JUDGE

#F1349. Game

    ID: 1355 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 2 上传者: 标签>博弈数学基础难度共享题库Codeforces英文题面题目来源题面语言

Game

题目描述

R. Game
time limit per test
0.5 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output

There is a legend in the IT City college. A student that failed to answer all questions on the game theory exam is given one more chance by his professor. The student has to play a game with the professor.

The game is played on a square field consisting of n×n cells. Initially all cells are empty. On each turn a player chooses and paint an empty cell that has no common sides with previously painted cells. Adjacent corner of painted cells is allowed. On the next turn another player does the same, then the first one and so on. The player with no cells to paint on his turn loses.

The professor have chosen the field size n and allowed the student to choose to be the first or the second player in the game. What should the student choose to win the game? Both players play optimally.

Input

The only line of the input contains one integer n (1≤n≤1018) − the size of the field.

Output

Output number 1, if the player making the first turn wins when both players play optimally, otherwise print number 2.

Examples
Input
1
Output
1
Input
2
Output
2

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 848 题。保留原作者与原赛事署名。