
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
Amálka observed squirrels in the garden of the lodge, where there were three trees: a spruce, a beech, and a fir. The squirrels sat calmly on the trees such that she could count them - there were 34 in total. When 7 squirrels jumped from the spruce to the beech, there were as many on the beech as there were on both conifers together. Then, 5 more squirrels jumped from the fir to the beech, at which point there were as many squirrels on the fir as there were on the spruce. On the beech tree, there were then twice as many as there were on the fir initially. How many squirrels originally sat on each of the trees?

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