
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
After the World Hockey Championship, three journalists wrote articles about the German team - each for their own newspaper.

- The first wrote: "The German team scored more than 10 but less than 17 goals throughout the championship."
- The second wrote: "The German team scored more than 11 but less than 18 goals throughout the championship."
- The third wrote: "The German team scored an odd number of goals throughout the championship."
  
It turned out that only two of the journalists were correct. How many goals could the German team have scored in the championship? List all possible options.

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