
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
Young entomologist Dima is observing two grasshoppers. He noticed that when a grasshopper starts jumping, it jumps 1 cm, after one second it jumps 2 cm, and after another second it jumps 3 cm, and so on.

Initially, both grasshoppers were at the same spot. One of them started jumping, and after a few seconds, the second grasshopper started jumping following the first one (the grasshoppers jump in a straight line in the same direction). At some point, Dima recorded in his notebook that the distance between the grasshoppers was 9 cm. A few seconds later, he noted that the distance between the grasshoppers became 39 cm. How many seconds passed between the recordings? (Indicate all possible options.)

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