
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
Two integers have a sum of 27. When two more integers are added to these, the sum becomes 46. Lastly, when two more integers are added to the sum of the previous four integers, the sum reaches 65. What is the minimum number of odd integers among the 6 integers?
**A)** 1
**B)** 2
**C)** 3
**D)** 4
**E)** 5

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