Collaboration Reach of Each Researcher

Problem

Table: `coauthored`

| Column Name | Type |
|---|---|
| author_a | int |
| author_b | int |

Each row means researcher `author_a` co-wrote a paper with researcher `author_b`. The relationship is mutual but stored only once per pair, in either column order. A pair never repeats.

For every researcher who appears in the table, compute their *reach*: the number of distinct collaborators they have, expressed as a percentage of the total number of distinct researchers in the table. Round to 2 decimals and alias it `reach_pct`. Output the researcher id aliased `author_a` and `reach_pct`, ordered by `author_a`.

Tables

Example rows — the live problem includes the full dataset.

Expected output

Your answer should return 5 rows with the columns author_a, reach_pct.

Starter code (SQL)

SELECT *
FROM coauthored;

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