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Single Colour Mastermind Problem
A first choice dieBulls without cows: how many steps are needed to solve this?Guess my numberNon-unique Minesweeper Solution?Strategy for solving 0hh1 and Unruly?Chess, for short peopleMastermind with an errorLots of ships in the arbitrarily large battleshipBlind Person Ball GameHat Puzzle with 5 different colours and 3 people
$begingroup$
Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.
What is the maximum number of turns you require to get the correct answer? How do you do it?
logical-deduction mastermind
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
$endgroup$
add a comment |
$begingroup$
Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.
What is the maximum number of turns you require to get the correct answer? How do you do it?
logical-deduction mastermind
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
$endgroup$
add a comment |
$begingroup$
Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.
What is the maximum number of turns you require to get the correct answer? How do you do it?
logical-deduction mastermind
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
$endgroup$
Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.
What is the maximum number of turns you require to get the correct answer? How do you do it?
logical-deduction mastermind
logical-deduction mastermind
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
asked 1 hour ago
Reggie PinkhamReggie Pinkham
1112
1112
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
$endgroup$
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
add a comment |
$begingroup$
Two guesses are enough to find the color, a third guess to give the correct code.
Name the colors with letter A to H.
Guess 1: AABCDE.
- If you get 2 matches, the color is A.
- If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.
- If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.
If it is required to complete the game, enter the color everywhere as guess 3.
It is easy to see that with 2 guesses you can find the correct color among even 9.
answered 1 hour ago
Florian FFlorian F
9,26612260
$endgroup$
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
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active
oldest
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$begingroup$
Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
$endgroup$
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
add a comment |
$begingroup$
Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
$endgroup$
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
add a comment |
$begingroup$
Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
$endgroup$
Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
edited 1 hour ago
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
answered 1 hour ago
JonMark PerryJonMark Perry
21k64199
21k64199
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
add a comment |
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
But there are 8 colors!
$endgroup$
– Florian F
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
$begingroup$
@FlorianF; fixed.
$endgroup$
– JonMark Perry
1 hour ago
add a comment |
$begingroup$
Two guesses are enough to find the color, a third guess to give the correct code.
Name the colors with letter A to H.
Guess 1: AABCDE.
- If you get 2 matches, the color is A.
- If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.
- If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.
If it is required to complete the game, enter the color everywhere as guess 3.
It is easy to see that with 2 guesses you can find the correct color among even 9.
answered 1 hour ago
Florian FFlorian F
9,26612260
$endgroup$
add a comment |
$begingroup$
Two guesses are enough to find the color, a third guess to give the correct code.
Name the colors with letter A to H.
Guess 1: AABCDE.
- If you get 2 matches, the color is A.
- If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.
- If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.
If it is required to complete the game, enter the color everywhere as guess 3.
It is easy to see that with 2 guesses you can find the correct color among even 9.
answered 1 hour ago
Florian FFlorian F
9,26612260
$endgroup$
add a comment |
$begingroup$
Two guesses are enough to find the color, a third guess to give the correct code.
Name the colors with letter A to H.
Guess 1: AABCDE.
- If you get 2 matches, the color is A.
- If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.
- If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.
If it is required to complete the game, enter the color everywhere as guess 3.
It is easy to see that with 2 guesses you can find the correct color among even 9.
answered 1 hour ago
Florian FFlorian F
9,26612260
$endgroup$
Two guesses are enough to find the color, a third guess to give the correct code.
Name the colors with letter A to H.
Guess 1: AABCDE.
- If you get 2 matches, the color is A.
- If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.
- If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.
If it is required to complete the game, enter the color everywhere as guess 3.
It is easy to see that with 2 guesses you can find the correct color among even 9.
answered 1 hour ago
Florian FFlorian F
9,26612260
edited 58 mins ago
answered 1 hour ago
Florian FFlorian F
9,26612260
answered 1 hour ago
Florian FFlorian F
9,26612260
answered 1 hour ago
Florian FFlorian F
9,26612260
9,26612260
add a comment |
add a comment |
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