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':7290635
'passage':History of Rome. The city of Rome originated as a village of the Latini in the 9th century BC. It was initially ruled by kings, but the Roman Republic was established in 509 BC. During the 5th century BC, Rome gained regional dominance in Latium, and eventually the entire Italian peninsula by the 3rd century BC. The population of the city at this point is estimated at about 310,000 people. With the Punic Wars from 264 to 146 BC, Rome gained dominance over the Western Mediterranean, displacing Carthage as the dominant regional power. The Roman Empire was established under Octavian in 27 BC, after Julius Caesar's conquest of Gaul, followed by a period of civil war. The ci
    Output:
    