
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 consists of 7 veteran players and 5 new players. Calculate the number of different lineups under the following conditions:  
(1) A specific veteran player must play, and two specific new players cannot play;  
(2) There are 6 players who play as forwards and 4 players who play as guards, with two players, A and B, capable of playing both positions.

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