*Can you beat the clock to the midnight hour?*

Move the clock forwards by clicking the buttons. If you're the first to get to midnight, you win!

Play the game against the computer as many times as you like.

**Can you find a winning strategy? If so, post a comment below and describe what you did!**

See here for some hints to get you started.

See here for some ways of taking the game further.

See here for the ultimate Approaching Midnight challenge!

If you'd like to play similar games, have a go at Got It and Seven Counters. Can you see how they are linked? (You may like to read our Playing the Same Game article.)

## Comments

### FINDING

The way to win is to get the computer to 11:45

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### actually 10:45

actually 10:45

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### You have to not let the

You have to not let the computer lock you in at 9:30. You also have to not let the computer to 10:45

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### Solution for Approaching Midnight

The way to win 'Approaching Midnight' is to make the computers final turn at 10:45, so no matter what they press (15, 30, 45 or 60 minutes) you will be able to reach midnight first. This is because 10:45 is 1 hour and 15 minutes before 12:00. 1 hour and 15 minutes is the only possible time that can be reached round of your turn and the computers, as 1 hours and 15 minutes equals 75 minutes. If the computer choses 60 minutes then you will chose 15 to equal 75, the same goes for 45 and 30, 30 and 45, 15 and 60.

The way to make sure the computers final turn starts at 10:45 is using the same 75 minute pattern.

Your next move, and every move after will depend on the computer. If the computer moves the clock forward 60 minutes, you move 15, in the same way you would on the final turn, as explained above.

Alternatively you can just wing it and hope your very, VERY lucky.

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### Approching midnight!

This is a really fun game to play because it involves using your logic! I need to find a solution that will work for me because the 1hr and 15 min doesn't work!!

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### Timing

On the digital clock it helps if you try and get to 15:15. Also, you automatically win if you get 22:45.

Hope this Helps!

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### Approaching midnight method

Independantly, we tried to figure out the strategy behind this game. Eventually we both came up with a winning formula which has proved to work each time you play. The formula we found that worked best for us was:

7:00

8:15

9:30

10:45

12:00

For the 18 hour version of this game you need to reach some allocated times in order to win:

You have to work in the multiples of 5 and each block of 15 minutes corresponds as 1/5 this means that if the computer moves 3 blocks then you have to move 2 blocksof 15 minutes to make it equal 5.

6:30

7:45

9:00

10:15

11:30

12:45

14:00

15:15

16:30

17:45

19:00

20:15

21:30

22:45

24:00

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### RE:Approaching midnight method

Thanks, Jazmin and Heather, that is very helpful but what if you start at 4 o'clock?

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### stratergy

It is essential that you make sure that you start with your first move being one hour. There are several times that you are looking to get to:

The best way to do this is to think carefully about your next moves and the possible moves that the computer could make.

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### This is equivalent to the "Got It" game

This game is the same as the "Got It" game elsewhere on this site. Here is the solution for any settings chosen:

ChosenTime modulo (#ofChoices+1)*(SmallestStepAllowed) = (720-StartTimeInMinutes) modulo (#ofChoices+1)*(SmallestStepAllowed)

Where the #ofChoices is equal to the BiggestStepAllowed divided by the SmallestStepAllowed.

This formula becomes simpler when the minutes are converted to steps:

ChosenStep modulo (#ofChoices+1) = #ofSteps modulo (#ofChoices+1)

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### You need to get certain times

You need to get certain times in this order:

8:15

9:30

10:45

And of course MIDNIGHT

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### main numbers [check points]

You need to start.

There is 4 check points.

Two of them are 7:00 & 9:30.

Good luck at finding the other two and at winning this strategic game.

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### Approaching Midnight strategy

First get to ...

and then you can win!

Austyn, George, Oliver S and Sukie

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### Midnight Hour

To win you must start: Make 7:00 to start with, and then make subsequent times of 8:15, 9:30, 10:45 and finally 12:00.

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### Midnight

If you read my earlier submission, then you know what to do at 6 o'clock, but if you are to win at 5 o'clock, you must start.

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### Midnight

From 4 o'clock ...

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### Midnight

From 3 o'clock ...

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### Midnight

From 2 o'clock ...

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### Midnight

From 1 o'clock ...

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### Midnight

From 12 o'clock (NOT midnight) ...

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### Midnight

starting from the 6 o'clock in the morning ...

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### Midnight Solution

Every round needs to equal 75 minutes.

This is because ...

In order to get to 10.45 you need to go back 75 minutes to 9.30.

From there you can just carry on playing so both your own and the computers turns are equal to 75 minutes

So if the computer played 15mins you would play 60 mins.

12

10.45

9.30

8.15

7 - Key Number

To start the round you have to play 60mins in order to take it to the computer's turn then you just play the method above.

eg.

6.00

You MUST 60mins

7.00

PC plays 45 mins

7.45

You MUST play 45mins

8.15

PC plays 15mins

8.30

You MUST play 60mins

9.30

PC plays 30mins

10.15

You MUST play 30mins

10.45

PC plays 60mins

11.45

You MUST play 15mins

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### omg

kind of hard not much. got it once out of 31 goes don't let the computer go on 8: 3o 9:3o and 10:45

well good luck !!!! I'm on your side if it is hard.

ps. go hard rock

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### Guaranteed Win

You can always win if you're the first player when it starts a six o'clock because of the times that you can move ...

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### math

To win you have to go to...

This strategy will make you win 100%

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### I HAVE THE ANSWER

Basically, 60=4, 45=3, 30=2, 15=1. You need to

PS This strategy also works for Got It.

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### The Answer

The idea of treating your moves as steps of 1, 2, 3 or 4 sounds very promising. However, while your strategy works for Got It, it doesn't quite work for this problem. They are very similar problems, but this one is aiming to get to 24, rather than 23. So how does this affect the numbers you need to reach?

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### Solution

The trick is to try and give the computer the move at times 12:00 - 1:15 hours.

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### Solution

That's an excellent strategy. I have hidden it under a 'Reveal' button so that others can have a go without seeing your solution if they want.

How would your strategy change if the allowed steps were different? What if the start time was different?

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### Solutions if different steps were involved

Let's say the ending point is y and the number of combined moves we AND the computer make is x (our turn followed by the computer's is counted as only 1). Also the biggest move one can execute is h and the smallest move is s.

In the example of approaching midnight, y = 12:00, h=1:00 and s=0:15.

Therefore to win this game, we must try and get our turn at all of the y-x(h+s) positions which is all of the 12:00 - x(1:00 + 0:15) positions.

Also, the start time does not matter as it doesn't intervene in the expression y-x(h+s). Only things that matter are the end time, the biggest step one can make, and the smallest step one can make. Unless the start time is at a y-x(h+s) position, in which case the game becomes unwinnable (unless our opponent goes first).

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