
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 basketball game includes a team with 18 players, 9 of whom start the game and the remaining 9 are available as substitutes. The coach can make up to 3 substitutions during the game, where a starting player is replaced by one of the substitutes. No player who is substituted out can reenter, and no two substitutions can occur simultaneously. The players involved and the substitution order are significant. Let $m$ be the total number of possible substitution methods the coach can utilize (including making no substitutions at all). Calculate the remainder of $m$ when divided by $1000$.

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