The local community theater is staging 4 plays consecutively over 22 days. One is a farce, one a musical, one a mystery, and one a hystorical drama. One of them will run for 3 weeks, another 5 weeks, another 6 weeks, and another 8 weeks, not necessarily in that order.

• The musical will not be running in week 15.
• The play running in week 13 will have closed before week 17.
• The historical drama will be running during week 14.
• In week 10 the farce will be running.
• The mystery will run before the musical, and will run for longer than the historical drama but shorter than the farce.

What is the sequence of the plays' runs, and how many weeks will each run?

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