No.26 Shuffle Game
タグ : / 解いたユーザー数 850
作問者 :
Problem Statement
Taro and Jiro are playing a game.
There are \(3\) cups on a table. Exactly \(1\) of them is marked with ○,
and the other \(2\) are marked with ×, with the marks not visible from the outside.
The cups are numbered \(1\), \(2\), \(3\) starting from the left as seen from Taro.
First, it is revealed which cup has the ○ mark. After that,
Jiro swaps the positions of cups several times,
and Taro must guess which cup has the ○ mark.
Both during and after the swaps, the cups are always numbered \(1\), \(2\), \(3\) from the left,
and except at the beginning, the marks on the cups cannot be seen.
The input gives the position number of the cup that initially has the ○ mark,
and the position numbers of the cups Jiro swapped.
Output the position number of the cup that finally has the ○ mark.
Input
\(N\) \(M\) \(P_1\ Q_1\) \(P_2\ Q_2\) \(\dots\) \(P_M\ Q_M\)
The \(1\)st line contains an integer \(N\ (1 \leq N \leq 3 )\), the position of the cup that initially has the ○ mark.
The \(2\)nd line contains an integer \(M\ (1 \leq M \leq 200)\), the number of times the cups were swapped.
Each of the following \(M\) lines contains space-separated integers \(P_i, Q_i\ (1 \leq P_i,Q_i \leq 3,\ 1 \leq i \leq M,\ P_i \neq Q_i)\), the position numbers of the cups to swap.
Output
Output the position number of the cup that finally has the ○ mark.
Print a newline at the end.
Sample
Sample 1
Input
1 1 1 3
Output
3
Initially, the left \((1)\) cup has the ○ mark. Since the left \((1)\) cup and the right \((3)\) cup are swapped,
the right \((3)\) cup finally has the ○ mark.
Sample 2
Input
1 3 2 3 3 2 2 3
Output
1
It stays in its initial position.
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