
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
Given the line \( ax + by + c = 0 \) where \( a, b, \) and \( c \) are three different elements chosen from the set \(\{ -3, -2, -1, 0, 1, 2, 3 \} \) and the angle of inclination of this line is acute, determine the number of such lines.

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