33 lines
1.2 KiB
Text
33 lines
1.2 KiB
Text
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This puzzle is borrowed from [http://math-frolic.blogspot.co.uk/2012/08/mind-wrenching.html math-frolic.blogspot].
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Given the following twelve statements, which of them are true?
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<pre>
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1. This is a numbered list of twelve statements.
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2. Exactly 3 of the last 6 statements are true.
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3. Exactly 2 of the even-numbered statements are true.
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4. If statement 5 is true, then statements 6 and 7 are both true.
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5. The 3 preceding statements are all false.
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6. Exactly 4 of the odd-numbered statements are true.
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7. Either statement 2 or 3 is true, but not both.
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8. If statement 7 is true, then 5 and 6 are both true.
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9. Exactly 3 of the first 6 statements are true.
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10. The next two statements are both true.
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11. Exactly 1 of statements 7, 8 and 9 are true.
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12. Exactly 4 of the preceding statements are true.
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</pre>
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;Task:
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When you get tired of trying to figure it out in your head,
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write a program to solve it, and print the correct answer or answers.
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;Extra credit:
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Print out a table of near misses, that is, solutions that are contradicted by only a single statement.
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<br><br>
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