
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
In the Cartesian coordinate system, Kong Ming plays a chess game where the piece starts from the origin and follows a specific pattern of movement: 1 unit to the right in the first step, 2 units to the right in the second step, 1 unit up in the third step, 1 unit to the right in the fourth step, and so on. Determine the coordinates of the position of the chess piece after 100 steps.

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