
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
Pat summed all four-digit numbers containing each of the digits $1, 2, 3,$ and $4$, and arrived at the total of 58126.

Mat pointed out to Pat that the result was incorrect and informed him that the sum could be found in a simpler way than listing and summing each number individually. Pat accepted the advice, solved the problem, and found that he initially counted correctly but had forgotten to include two numbers.

Determine which numbers Pat originally forgot.

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