
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
The digits $1, 2, 3, 4, 5, 6$, and $7$ can be arranged to form different 7-digit integers with distinct digits. How many such integers are there such that the digit $1$ is to the left of both digits $2$ and $3$? (The digits $1$, $2$, and $3$ do not have to be next to each other.)

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