
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
Delta and Epsilon participated in a three-day math contest, where both had attempted questions totaling 800 points by the end. On the first day, Delta scored 210 points out of 350 points attempted. For the subsequent days, score distributions are not detailed, but Delta's total three-day success ratio was $\frac{530}{800}$. Epsilon, who did not attempt 350 points on day one, scored a positive integer point total each day, with daily success ratios less than Delta's on corresponding days.

Find the largest possible three-day success ratio Epsilon could have achieved.

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