
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
At a national day parade, there is a formation of 100 people. In the formation, each person's left hand either holds a red flower or a yellow flower. Each person's right hand either holds a red balloon or a green balloon. It is known that 42 people hold red flowers, 63 people hold red balloons, and 28 people hold a yellow flower in their left hand and a green balloon in their right hand. How many people hold a red flower in their left hand and a red balloon in their right hand?

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