
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 revised shooting match, eight clay targets are organized into two columns with four targets each. A marksman must break all the targets with the following rules:
1) The marksman first selects a column from which a target is to be broken.
2) The marksman must break the lowest remaining unbroken target in the chosen column.
Determine the number of different sequences in which the eight targets can be broken.

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