
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

Over two days, 100 bankers collected funds to fight a new virus. Each banker contributed a whole number of thousands of rubles, not exceeding 200. Contributions on the first day did not exceed 100 thousand, and contributions on the second day were greater than this amount. Additionally, no pair of all 100 contributions differed by exactly 100 thousand. What amount was collected?

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