
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
Masha has red and white balls. If she increases the number of white balls by n times, she will have a total of 101 balls. If she increases the number of only the red balls by p times, she will have 103 balls. How many balls does Masha have now? Find all options if n is a natural number.

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