
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
There is a bug located at row 1, column 1 on a $5 \times 5$ chessboard. The bug moves two squares horizontally or one square vertically per step. Will the bug necessarily pass through an odd number of steps or an even number of steps to reach row 5, column 5?

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