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# Gamehelpturingmachine

### Overview

The objective of the game is to be the first player to correctly solve the code, and with the fewest questions asked, or be the only player not eliminated.

### Turn

A turn consists of four or five stages, with each stage carried out simultaneously. The stages are:

1. Compose
2. Question
3. Deduce
4. End
5. Verification (Not in all rounds)

### Compose

In this phase, each player decides on a number for each colour/shape. A number may be used for multiple shapes (e.g. three triangles three squares, two circles).

### Question

Players pick up to three of the Verifiers and see how their Proposal meets their criteria.

Two Important Notes:

1. The Verifiers do NOT correspond to colors and/or shapes. For example:
1. Two Verifiers may contain criteria towards the same colour/shape, or
2. A single Verifier may ask if Yellow/Square is Even,
3. Another Verifier may ask if Yellow/Square is greater than three)
2. The Correct and Incorrect answer received does NOT mean the number is right or wrong, but whether or not your proposal passed for that the Verifier.

### Deduce

After completing the Verification step, take some time to figure out (but not declare) if you have found the answer.

### End

At the end, count to three, then reveal either a thumbs up (if think you know the code) or a thumbs down (if you are not sure of the code)

If at least one person pointed up, move to the Verification Phase

### Verification

The correct code will pass the test of ALL verifiers

If one person is correct, they win!

If more than one person is correct, the person who asked the fewest questions wins!

If no one is correct, they are eliminated!

If the second to last person is eliminated, the final player, even though they did not participate in Verification, will win!

### Meaning of verifiers

Each of the verifiers tell you that one of the criteria tested is true or not.

Per example if it exist a verifier which tell you if [(b<3) or (y<3) or (p<3)], that assure you that the color tested is <3. By testing 222, in all games that verifier would return true (so it's useless to ask). If you test 225, it can return true or false. If it return false, then p<3. If it return true, then you don't know if b<3 or if y<3 or if both are true. If you test 555, it will always return false (so it's useless to ask).

### Mode

#### Classic

1 card for each verifier.

#### Extreme

2 cards for each verifier but only one valid criterion.

#### Nightmare

You do not know which verifier is associated with which verification card.

### Strategy (spoilers)

Each verifier is useful and at the end there is a single solution.

If there is a verifier which test if b<y, b=y, or b>y ; and another test if b<yp, y<bp, or p<by, then if y<bp, that makes the first verifier useless. Same for b<yp. So the second verificator is p<by.

If there is a verifier about the numbers of 4s in the combinaisons, and no others verifiers tell you information about purple, then if p=1, you could have another solution by making p=2. Same for 3&5. So p=4.