
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
One day, while having tea, Colonel Crackham said:

- My friend Tompkins likes to surprise us with unexpected puzzles at every opportunity, but they are not too deep. Once, we were walking in the garden when he pointed to a rectangular flower bed and noted:
- If I made it 2 meters wider and 3 meters longer, its area would increase by 64 square meters; but if I made it 3 meters wider and 2 meters longer, its area would increase by 68 square meters.

What are the length and width of the flower bed?

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