#K42597. Number of Turns to End Game

    ID: 27122 Type: Default 1000ms 256MiB

Number of Turns to End Game

Number of Turns to End Game

You are given a deck of N cards and P players. The game ends when the card with number K is drawn. The players draw cards in a round-robin fashion. Your task is to determine the number of turns required until the game ends, i.e. the turn at which the card K is drawn.

Mathematically, if we denote the desired number of turns by \(T\), then according to the rules of the game, \(T = K\). Even though the players draw cards in sequence, the count of turns is independent of the number of players.

Note: It is guaranteed that \(1 \leq K \leq N\).

inputFormat

The input consists of a single line containing three space-separated integers:

  • N: Total number of cards.
  • K: The card number which, when drawn, ends the game.
  • P: The number of players.

You should read from standard input (stdin).

outputFormat

Output a single integer representing the number of turns required to draw card K, which is simply K.

The output should be written to standard output (stdout).

## sample
10 3 2
3