
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
A sequence of consecutive odd numbers is written on the blackboard, starting from $1$: $1, 3, 5, 7, 9, 11, \cdots$. Two numbers are erased from the sequence, dividing it into three segments. If the sums of the first two segments are 961 and 1001 respectively, determine the sum of the two erased odd numbers.

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