Game of the Week: Got it

Got It is an adding or subtraction game for two players. You can play against a friend. It is a version of a well known game called Nim.

Start with the Got It target 23.

Of start at 23 and subtract to get to zero.

The first player chooses a whole number from 1 to 4 .

Players take turns to add or subtract a whole number from 1 to 4 to the running total.

The player who hits the target of 23 or 0 wins the game.

Play the game several times.
Can you find a winning strategy?
Can you always win?

Does your strategy depend on whether or not you go first?