
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 "terrorist" is hiding behind one of 10 windows arranged in a line in a counter-terrorism game. An infallible "counter-terrorism elite" uses a sniper rifle to shoot at this "terrorist." The elite only needs to shoot the window where the terrorist is hiding to hit the terrorist. After each shot, if the terrorist is not hit, he will move one window to the right. Once he reaches the rightmost window, he stops moving. To ensure hitting the terrorist, the elite needs to shoot at least times.

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