
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
Charlie and Delta both participated in a three-day math contest. Over the three days, each contestant attempted questions totaling 600 points. Charlie scored 200 points from 300 points attempted on the first day, 160 points from 200 points attempted on the second day, and 90 points from 100 points attempted on the third day. Delta did not attempt the same number of points as Charlie on any day, and Delta's daily success ratio (points scored divided by points attempted) was less than Charlie's on each corresponding day. Charlie's three-day success ratio was $\frac{450}{600} = 3/4$.

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

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