
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 tactical shooting competition, there are four columns of clay targets, with the first column containing two targets, the second column containing three, the third column containing two, and the fourth column containing one target. The sharpshooter must break all the targets according to the following rules:
1. The sharpshooter first chooses a column from which a target is to be broken.
2. The sharpshooter must then break the lowest remaining target in the chosen column.
Determine the number of different orders in which the sharpshooter can break all the eight targets.

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