
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
There are eight balls numbered from 1 to 8, among which six balls are of the same weight, and the other two are 1 gram lighter. To find out these two lighter balls, a balance scale was used three times, and the results are as follows: the first time, balls 1 and 2 are heavier than balls 3 and 4; the second time, balls 5 and 6 are lighter than balls 7 and 8; the third time, the weight of balls 1, 3, and 5 combined is equal to the weight of balls 2, 4, and 8 combined. Therefore, the numbers of the two lighter balls are.

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