<s>[INST] A certain company policy requires that the number of particular company’s employees who attend a meeting shall be determined the day before. If the number of people is even, all of them get salary next day, if the number is odd, all of them get a one day off the next day. Also, there is a rogue employee who plans to get an extra day off by either coming or not coming to the meeting. Let’s assume that this rogue employee won’t go against the will of majority, i.e. even if this rogue employee is required to get a one day off tomorrow (if his count make the number of people in the meeting on the next day odd), he will make himself absent. Similarly, if the number of employees tomorrow is odd (say 13, for example) and everyone is required to get off tomorrow, this rogue employee might join to get an extra one day off. Only one meeting is conducted the next day, not more than that, i.e either all will get salary next day or all will get one day off.
I hope the story beautifully convey the motive of the rogue employee.
Now, my question is: Does the plan of rogue employee work?[/INST]