
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
In Largeville, the streets are all $25$ feet wide and the blocks they enclose are all squares of side length $500$ feet. Sarah runs around the block on the $500$-foot side of the street, while Sam runs on the opposite side of the street, and Sue runs on the inner side of the street where Sarah runs. How many more feet does Sam run than Sarah, and how many fewer feet does Sue run than Sarah for every lap around the block?

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