
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
Ed and Sue both cycle, jog, and swim at equal and constant rates. They perform these activities at distinct rates but equal times in the given scenario. Ed covers 88 kilometers after cycling for 3 hours, jogging for 4 hours, and swimming for 2 hours. Sue covers 104 kilometers after jogging for 3 hours, swimming for 4 hours, and cycling for 2 hours. Their cycling, jogging, and swimming rates are even whole numbers of kilometers per hour. Find the sum of the squares of Ed's cycling, jogging, and swimming rates.

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