You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
A group of six security guards were hired for the night shift at a factory. The 12-hour night shift was to be covered by rotations, with each guard's shift differing in length due to varying levels of alertness and expertise. Guard one was responsible for the first 2 hours. Guard six, being the most experienced, would cover the last 4 hours of the shift. The second, third, fourth, and fifth guards had to work in the middle portion of the shift on a rotating schedule with the following preferences and requirements:

1. Guard two prefers to work no more than 2 hours.
2. Guard three has a maximum of 3 continuous working hours.
3. Guard four needs to team up with guard five during his shift.
4. Guard five should work at least an hour less than guard four.

Determine the individual working hours for guards two, three, four, and five that satisfy the above preferences and requirements, and successfully cover the middle portion of the 12-hour night shift.
user
12-hour
rule
A group of six security guards were hired for the night shift at a factory. The 12-hour night shift was to be covered by rotations, with each guard's shift differing in length due to varying levels of alertness and expertise. Guard one was responsible for the first 2 hours. Guard six, being the most experienced, would cover the last 4 hours of the shift. The second, third, fourth, and fifth guards had to work in the middle portion of the shift on a rotating schedule with the following preferences and requirements:

1. Guard two prefers to work no more than 2 hours.
2. Guard three has a maximum of 3 continuous working hours.
3. Guard four needs to team up with guard five during his shift.
4. Guard five should work at least an hour less than guard four.

Determine the individual working hours for guards two, three, four, and five that satisfy the above preferences and requirements, and successfully cover the middle portion of the 12-hour night shift.
train