
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
Four children are in the four corners of a $10 \mathrm{~m} \times 25 \mathrm{~m}$ pool. Their coach is standing somewhere on one side of the pool. When he calls them, three children get out and walk as short a distance as possible around the pool to meet him. They walk $50 \mathrm{~m}$ in total. What is the shortest distance the coach needs to walk to get to the fourth child's corner?
A $10 \mathrm{~m}$
B $12 \mathrm{~m}$
C $15 \mathrm{~m}$
D $20 \mathrm{~m}$
E $25 \mathrm{~m}$

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