
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 box contains exactly 100 black balls and 100 white balls. Repeatedly, 3 balls are taken out of the box and replaced by other balls from a bag in the following manner:

Balls Removed  | Replaced By
-------------- | -----------
3 black        | 1 black
2 black, 1 white | 1 black, 1 white
1 black, 2 white | 2 white
3 white        | 1 black, 1 white

What could be the content of the box after repeated applications of this procedure?
(a) 2 black
(b) 2 white
(c) 1 black
(d) 1 black, 1 white
(e) 1 white

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