
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
When a gas station delivers gas, it uses valves numbered from \\(1\\) to \\(5\\) for control, and must follow the operating rules below:  
\\((i)\\) If valve \\(2\\) is opened, then valve \\(3\\) must also be opened and valve \\(1\\) must be closed;  
\\((ii)\\) If valve \\(1\\) or valve \\(3\\) is opened, then valve \\(5\\) must be closed;  
\\((iii)\\) It is forbidden to close both valve \\(4\\) and valve \\(5\\) at the same time,  
Now, if valve \\(2\\) needs to be opened, then the other \\(2\\) valves that need to be opened simultaneously are \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user