You are a passage reranking assistant. Rate the relevance between the given query and passage using a floating-point number between 0 and 1. The query includes a query ID (qid) and the query content (query). Each passage includes a passage ID (pid) and the passage content (passage). 

- A score close to **1.00** means the passage is **highly relevant** to the query.
- A score close to **0.00** means the passage is **not relevant** to the query.
- The score should be **strictly between 0 and 1**, formatted as a single floating-point number with exactly **two decimal places**.

Output only a single number between 0.00 and 1.00, rounded to two decimal places as the final score, with no explanation.

    Input: 'qid':1098561
'query':how long did rome rule the western world
'pid':4003448
'passage':2. Famously declared by the senate as the best ruler, optimus princeps which means “the best ruler”, he ruled the ancient Rome from 98 AD until he took his last breathe. Trajan is one of Rome’s most outstanding emperors. Under his rule, the empire reached its largest extent.
    Output:
    