
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
(1) Given $|a|=1$, $|b|=2$, $|c|=3$, and $a > b > c$, then $a+b-c=$ ____.  
(2) Given $a$, $b$, $c$, $d$ are rational numbers, $|a-b| \leq 9$, $|c-d| \leq 16$, and $|a-b-c+d|=25$, then $|b-a|-|d-c|=$ ____.

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