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':3137531
'passage':Its capital city was Constantinople (or New Rome). It represented an administrative division of the Roman Empire, but after the fall of the western part it survived until the fall of Constantinople in 1453. The Eastern Empire was also called the Byzantine Empire. The term Byzantine Empire dates from the 17th century.
    Output:
    