
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
The children went to the forest for mushrooms. If Anya gives half of her mushrooms to Vita, all the children will have an equal number of mushrooms. But if instead, Anya gives all her mushrooms to Sasha, Sasha will have as many mushrooms as all the others combined. How many children went for mushrooms?

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