You may remember the game Nim. We will now play a slightly modified
version, called Thrim. In Thrim, there are two piles of stones (or any
objects of your choosing), one of size \(1\) and the other of size \(5\).
Whoever takes the last stone wins. The players take it in turns to
remove stones - they can only remove stones from one pile at a time, and
they can remove at most \(3\) stones at
a time.
Does the player going first or the player going second have a winning
strategy?