
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

An artificial reservoir has the shape of a rectangle with a difference between its sides of 1 km. Two fishermen, starting from the same corner of this rectangle, set off simultaneously for a point located at the diagonally opposite corner. One fisherman swam directly along the diagonal, while the other walked along the shore. Determine the dimensions of the reservoir if each fisherman moved at a speed of 4 km/h, and one of them reached the destination 30 minutes earlier than the other.

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