Difference between revisions of "1997 PMWC Problems/Problem T10"
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| − | + | ==Problem== | |
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| + | The twelve integers 1, 2, 3,..., 12 are arranged in a circle such that the difference of any two adjacent numbers is either 2, 3 or 4. What is the maximum number of the difference '4' can occur in any such arrangement? | ||
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| + | ==Solution== | ||
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| + | {{solution}} | ||
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| + | ==See Also== | ||
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| + | {{PMWC box|year=1997|num-b=T9|after=Last<br />Problem}} | ||
Revision as of 23:04, 12 May 2011
Problem
The twelve integers 1, 2, 3,..., 12 are arranged in a circle such that the difference of any two adjacent numbers is either 2, 3 or 4. What is the maximum number of the difference '4' can occur in any such arrangement?
Solution
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See Also
| 1997 PMWC (Problems) | ||
| Preceded by Problem T9 |
Followed by Last Problem | |
| I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
