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':5278407
'passage':Augustus (Octavian), the first Roman Emperor of the Principate Era whose ascension ended republic rule at Rome. Roman Emperors were rulers of the Roman Empire, wielding power over its citizens and military. The empire was developed as the Roman Republic invaded and occupied most of Europe and portions of northern Africa and western Asia. Under the republic, regions of the empire were ruled by provincial governors answerable to and authorised by the Senate and People of Rome. Rome and its senate were ruled by a variety of magistrates – of whom the consuls were the most powerful. The republic ended ...
    Output:
    