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After a number of complaints, the Dunder Mifflin Paper Company has decided on the following rule for vacation leave for the next year (365

After a number of complaints, the Dunder Mifflin Paper Company has decided on the following rule for vacation leave for the next year (365 days): Every employee must take exactly one vacation leave of 4 consecutive days, one vacation leave of 5 consecutive days and one vacation leave of 6 consecutive days within the year, with the property that any two of the vacation leaves have a gap of at least 7 days between them. In how many ways can an employee arrange their vacation time? (The vacation policy resets every year, so there is no need to worry about leaving a gap between this year and next year's vacations).

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