
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
In a soccer team, there are 25 available players. Out of these, 14 players start the game and the remaining 11 can be used as substitutes. The coach has the option to make up to 4 substitutions during the game. Each player replaced cannot reenter the game, and any substitute who replaces someone can later be substituted again. No two substitutions can occur simultaneously, and we must consider both the choice of the substitute and the player replaced, as well as the order in which substitutions occur. Determine the number of ways the coach can make substitutions (including making none) and compute this number modulo 1000.

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