If you have found a strategy for the version of Got It with a target of 23 and numbers 1, 2, 3 and 4 to choose from, then why not take it further by changing the target number and/or the range of numbers?

Use the 'Settings' button on the interactive below to tweak the game.

**Test out the strategy you found earlier. Does it need adapting?
Can you work out a winning strategy for any target?
Can you work out a winning strategy for any range of numbers?
Is it best to start the game? Always?**

To play similar games, see Approaching Midnight and Seven Counters. Can you see the similarities?

## Comments

### How to win in ANY variation of Got It :)

Let's say that the target for the winner is "a".

Let's say that the range of numbers you are allowed to select is "b" to "c".

If a/(b+c) = y remainder z, then for Player 1 to win, they must say z first. Then, whatever number that Player 2 says (let's call it d), Player 1 must say whatever b+c-d is. Then so and so. The next number Player 2 says , Player 1 must say b+c-that number. If you keep playing, like this, Player 1 shall always get to a first.

This explanation is not that confusing if you know what I mean and have already read the Got It solution.

It shall be a fun game for Player 1.

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### Re: How to win in ANY variation of Got It :)

This is a really good explanation, well done! I've hidden the solution so that other people can have a chance to think about the problem before reading the solution.

Can you or anyone else build on this to explain what the strategy is if z is not between b and c?

You might want to start by thinking about the case where b=1 and z=0.

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