
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
In a row of 10 boxes, each box contains balls of two colors: red and blue. Some boxes may contain balls of only one color; there are no empty boxes. It is known that the number of balls in each successive box (from left to right) is not less than in the previous one. Additionally, no two boxes have the same combination of red and blue balls. How many red and how many blue balls are in the rightmost box, if there are a total of 14 red and 10 blue balls in all the boxes combined?

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