
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 22. When two more integers are added to the first two integers, the sum is 36. Finally, when two more integers are added to the sum of the previous four integers, the sum is 50. What is the minimum number of odd integers among these 6 integers.

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