Subject: | wrong statement on mastermind page |
---|---|

Date: | Tue, 23 Oct 2001 23:04:56 +0200 |

From: | Stephan Rafler |

thank you for your superb mastermind page. there you state that with the strategy of consistent guesses one needs in the worst case 7 guesses. SLIGHTLY underestimated i would say. here is a sequence of 10 consistent guesses:

1 | 5555 | 0,0 | 1296 | |||

2 | 2201 | 1,1 | 625 | |||

3 | 4104 | 1,1 | 120 | |||

4 | 1303 | 1,1 | 20 | |||

5 | 3402 | 0,3 | 6 | |||

6 | 4213 | 1,3 | 5 | |||

7 | 2314 | 1,3 | 4 | |||

8 | 4321 | 0,4 | 3 | |||

9 | 2143 | 0,4 | 2 | |||

10 | 1234 | 4,0 | 1 |

the number to the right is the number of consistent guesses one could make at that stage. my computer found 2-10 after about 10,000,000 random games. i added the 5555 with a slight grin on my lips. i wouldn't bet that there is no sequence with 11. in fact it would be an interesting task to show that there is none above a certain number. in some way you are right that 7 is the worst case: because the higher ones become "better" again!

stephan

### Mastermind

- Invitation To Mastermind
- Random Strategy for Mastermind

- Mastermind: an interactive gizmo
- Computer Mastermind
- Mastermind Variants
- Bulls and Cows
- Vowel Movement
- Thugs and Bowmen

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