
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
Mr. Ticháček had three plaster dwarfs in his garden: he called the tallest one Mašík, the middle one Jířa, and the smallest one Fanýnek. Because he enjoyed playing with them, he eventually realized that when he placed Fanýnek on Jiřa, they were as tall as Mašík. When he placed Fanýnek on Mašík, they measured $34 \mathrm{~cm}$ more than Jiřa. And when he placed Jiřa on Mašík, they were $72 \mathrm{~cm}$ taller than Fanýnek.

How tall are Mr. Ticháček's dwarfs?

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