Problem:
Score : 300 points

Problem Statement

2N players are running a competitive table tennis training on N tables numbered from 1 to N.

The training consists of rounds.
In each round, the players form N pairs, one pair per table.
In each pair, competitors play a match against each other.
As a result, one of them wins and the other one loses.

The winner of the match on table X plays on table X-1 in the next round,
except for the winner of the match on table 1 who stays at table 1.

Similarly, the loser of the match on table X plays on table X+1 in the next round,
except for the loser of the match on table N who stays at table N.

Two friends are playing their first round matches on distinct tables A and B.
Let's assume that the friends are strong enough to win or lose any match at will.
What is the smallest number of rounds after which the friends can get to play a match against each other?

Constraints

2 \leq N \leq 10^{18}

1 \leq A < B \leq N

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print the smallest number of rounds after which the friends can get to play a match against each other.

Sample Input 1

5 2 4

Sample Output 1

1

If the first friend loses their match and the second friend wins their match, they will both move to table 3 and play each other in the next round.

Sample Input 2

5 2 3

Sample Output 2

2

If both friends win two matches in a row, they will both move to table 1.

Solution in Go (1.6) (judge verdict: Accepted)

package main

import "fmt"

func main() {
	var N, A, B int
	fmt.Scan(&N, &A, &B)
	var ans int
	if (B-A)%2 == 0 {
		ans = (B - A) / 2
	} else {
		// 答えは以下の(A)+(B)+(C)になる
		// (A) 片方が1卓あるいはN卓に移動するまでに必要なラウンド - min(A-1, N-B)
		// (B) 偶奇を調整するラウンド - 1ラウンド
        // (C) 双方が出会うためのラウンド - 最初は同じ方向に進むので、距離が縮まらない。偶奇調整後は近くが、調整ラウンド1分だけ距離が縮まっているので、必要なラウンド数は(B-A-1)/2となる
		ans = min(A-1, N-B) + 1 + (B-A-1)/2
	}
	fmt.Println(ans)
}
func min(a, b int) int {
	if a < b {
		return a
	}
	return b
}