
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 two-day math challenge, Gamma and Delta both attempted questions totaling 600 points over the two days. Gamma scored 180 points out of 300 points attempted each day. Delta attempted a different number of points each day, and their daily success ratios (points scored divided by points attempted) were less than Gamma's on both days. Gamma's overall success ratio for both days was $360/600 = 3/5$.

Find the largest possible two-day success ratio that Delta could have achieved.

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