
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
A strip is divided into 30 cells in a single row. Each end cell has one token. Two players take turns to move their tokens one or two cells in any direction. You cannot move your token past your opponent's token. The player who cannot make a move loses. How should the starting player play to win?

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