
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
A certain unit recruits employees through a combination of written tests and interviews, with both scores originally out of $100$ points. The scores of the top $6$ candidates are as follows:

| Rank | Written Test Score | Interview Score |
|------|--------------------|-----------------|
| 1    | 85                 | 90              |
| 2    | 92                 | 88              |
| 3    | 84                 | 86              |
| 4    | 90                 | 90              |
| 5    | 84                 | 80              |
| 6    | 80                 | 85              |

According to the rules, the written test score and interview score are combined into a composite score based on certain percentages (with the composite score still out of $100$ points).

1. The median of the written test scores of these $6$ candidates is $\_\_\_\_$ points, and the mode is $\_\_\_\_$ points.
2. Now, it is known that the composite score of candidate 1 is $88$ points. Find the percentages of the written test score and interview score.
3. Calculate the composite scores of the other five candidates, and determine the top two candidates based on their composite scores.

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