
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 king has tasked the mason Václav with building a wall that is $25 \mathrm{~cm}$ thick, $50 \mathrm{~m}$ long, and $2 \mathrm{~m}$ high. If Václav were to work continuously at a consistent pace, he would build the wall in 26 hours. However, according to the current royal regulations, Václav must adhere to the following conditions:

- He must take exactly six half-hour breaks during the work period.
- At the start of work and after each half-hour break, when he is sufficiently rested, he can work 25% faster than his normal pace, but no longer than one hour each time.
- Between breaks, he must work for at least $3 / 4$ of an hour.

What is the shortest possible time in which Václav can complete the task?

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