Problem
COM-B1-M12-P007 Set 2. Pile
#7
★★☆☆☆ Level 2 of 5
There are \(22\) stones. In one move, a player may take from \(1\) to \(3\) stones. The last move wins. Who wins?
Multiples of \(4\) are losing.
\(22\equiv2\pmod4\). The first player takes \(2\) stones and leaves \(20\). Then the first player complements the opponent’s move to \(4\).
A complete strategy is required.