
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
A Mathlon is a competition in which there are  $M$  athletic events.  Such a competition was held in which only  $A$ ,  $B$ , and  $C$  participated.  In each event  $p_1$  points were awarded for first place,  $p_2$  for second and  $p_3$  for third, where  $p_1 > p_2 > p_3 > 0$  and  $p_1$ ,  $p_2$ ,  $p_3$  are integers.  The final scores for  $A$  was 22, for  $B$  was 9 and for  $C$  was also 9.   $B$  won the 100 metres.  What is the value of  $M$  and who was second in the high jump?

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