
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
Five soccer teams held a tournament - each team played with each other once. For a win, 3 points were awarded, for a draw - 1 point, and no points were given for a loss. Four teams scored 1, 2, 5, and 7 points respectively. How many points did the fifth team score?

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