
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
Children at camp rolled a die and performed the following tasks based on the results:

| 1 | go $1 \mathrm{~km}$ west |
| :--- | :--- |
| 2 | go $1 \mathrm{~km}$ east |
| 3 | go $1 \mathrm{~km}$ north |
| 4 | go $1 \mathrm{~km}$ south |
| 5 | stay in place |
| 6 | go $3 \mathrm{~km}$ north |

After five rolls, Mark's team was $1 \mathrm{~km}$ east of the starting point.

1. What routes could Mark's team have taken? Indicate at least four possibilities.
2. What could be the total sum of all the numbers rolled by this team? Determine all possibilities.

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