perplexus.info :: Logic : The not-always-lying islanders

The not-always-lying islanders (Posted on 2021-12-22)

On a remote island, its inhabitants might lie at any given moment. However, they are restricted by the island code NOT to tell 3 lies in a row.
A group of visitors to the island meets an inhabitant of the island.
Responding to various queries of the visitors he made precisely 17 consecutive statements.
How many combinations of truths/lies can there be?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: computer solution

| Comment 3 of 4 |

(In reply to computer solution by Charlie)

Changing the line

if lieCt<3

if lieCt<2

makes the solution agree with Brian's 35890.

>> for i = 1:25 disp(seqSet(i,:))

end

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0

1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0

1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1

1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0

1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1

1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0

1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0

1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0

1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1

1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0

1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1

1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0

1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1

1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0

1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1

1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0

1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1

>> for i = 17000:17025 disp(seqSet(i,:))

end

1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1

1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0

1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1

1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0

1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1

1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0

1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1

1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1

1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0

1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1

1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0

1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1

1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0

1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1

1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1

1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0

1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1

1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0

1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 1

1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0

1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1

1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0

1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1

1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0

1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1

1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0

>> for k=length(seqSet)-25:length(seqSet) disp(seqSet(k,:))

end

0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0

0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1

0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1

0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0

0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1

0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0

0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1

0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0

0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1

0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1

0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0

0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1

0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0

0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1

0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0

0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1

0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 1 0

0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1

0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0

0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1

0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0

0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1

0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1

0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0

0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1

0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0

Posted by Charlie on 2021-12-22 13:24:54

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