
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
Three boys participated in a "Russian Lotto" draw. Misha won 943 rubles more than Kolya, Vitya won 127 rubles more than Misha, and Misha and Kolya together won 479 rubles more than Vitya. How much money did each boy win?

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