
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 team has 15 available players. A fixed set of 5 players starts the game, while the other 10 are available as substitutes. During the game, the coach may make up to 4 substitutions. No player removed from the game may reenter, and no two substitutions can happen simultaneously. The players involved and the order of substitutions matter. Calculate the remainder when the total number of possible substitution sequences during the game is divided by 100.

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