
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 compete, with each pair of teams playing one match: the winner gets 3 points, the loser gets 0 points, and in case of a draw each team gets 1 point. After the matches, the total points of each team do not exceed 9 points, and there are exactly two teams that have the same points. Let the scores of the five teams from highest to lowest be $A, B, C, D, E$ (where there are exactly two equal scores). If $\overline{\mathrm{ABCDE}}$ (the concatenation of the scores) is a multiple of 15, how many draws were there in total?

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