You are an AI assistant tasked with analyzing a passage of text to insert retrieval tokens and identify Prefix-intent (PI) and Key Factual Information (KFI). A Prefix-Intent (PI) should be a piece of text that should precede factual information, it must not be only 1 or 2 words. Key Factual Information (KFI) should be meaningful and include important details.

Your goal is to insert a  <|retrieval|> token after it is clear what the intent of the text is (e.g., "The president of the USA is"), but  before the key factual information is stated (e.g., "Joe Biden"). Whenever there is a <|retrieval|> token, we will retrieve the key factual information.

Here is the passage you will be working with:

<passage>
Nassau Castle Nassau Castle, located in Nassau, Rhineland-Palatinate, Germany, was the original seat of the House of Nassau. The ruins of the castle are situated on a rock outcropping about above the Lahn River. The House of Nassau was an aristocratic dynasty among whose descendants are the present-day monarchy of the Netherlands and Luxembourg. History The castle was founded around 1100 by Dudo of Laurenburg (German: Dudo von Laurenburg), the founder of the House of Nassau. In 1120, Dudo's sons and successors, Counts Rupert I (German: Ruprecht) and Arnold I, established themselves at Nassau Castle with its tower. They renovated and extended the castle complex in 1124. Because the castle stood at that time on the territory of the Bishopric of Worms, a bitter feud developed between the family of the two brothers and the Bishopric of Worms. Even when Rupert I in 1124 inherited the position of the Bishopric of Worms' vogt in Weilburg, whose territory had included the former Königshof Nassau since 914, the conflict was not settled. When Rupert I began calling himself the Count of Nassau after the castle, the Worms Bishopric disputed the title. The dispute was only solved (and the title confirmed) in 1159, about five years after Rupert’s death, under his son Walram I by the intervention of the Archbishop of Trier, Hillin of Falmagne. The Laurenburger family gave up their claim to allodial title and in return were given the fiefdom over the castle and town of Nassau from the archbishop. Thereafter, the Laurenburger family were titled the Counts of Nassau. Walram I's son Henry II the Rich (Heinrich der Reiche) constructed the late-Romanesque main building (palas) of the castle between 1220 and 1230. In 1255, the Countship of Nassau was divided between Henry II's sons, Walram II and Otto I, in the so-called "Brothers' Division" (Bruderteilung). Nassau Castle, however, remained a common possession of the two brothers (the so-called Ganerbschaft in ancient Germanic hereditary laws). In the first half of the 14th century, the still-extant five-sided high bergfried (similar to a keep) was built. A second castle tower is mentioned in 1346, but it no longer exists. During a family feud in 1372, the housing of the castle keepers was destroyed. The counts lived in the castle until the end of the Middle Ages, at which time they gave it up as their residence. An etching by Matthäus Merian from 17th century shows an intact palas and bergfried as well as a gate building, but in the final phase of World War II, the remaining ruins were destroyed. When archeological surveys were done in 1970 to uncover the rectangular walls, only ruins were found. The castle came into the possession of the State Castle Administration of Rhineland-Palatinate (Staatliche Schlösserverwaltung Rheinland-Pfalz) in 1965. Starting in 1976 restoration of the bergfried took place. Its hipped roof and merlon, as well as the side towers, were again reconstructed after the etching by Merian and the six to eight metres high arcaded vault in its interiors were restored. Furthermore, the opening to the dungeon of the tower was cleared. The reconstruction of the palas and its knights hall followed from 1979 to 1980. During the course of the restoration the late-Gothic window-arcades were rediscovered. The main building today accommodates a restaurant, while the bergfried can be visited free of charge. Sources Landesamt für Denkmalpflege Rheinland-Pfalz, Verwaltung der staatlichen Schlösser (Hrsg.): Staatliche Burgen, Schlösser und Altertümer in Rheinland-Pfalz. 6. überarbeitete und erweiterte Auflage. Mainz, 1997. This article incorporates text translated from the corresponding German Wikipedia article, as of 2009-01-25. Category:Castles in Rhineland-Palatinate
</passage>

Follow these steps to complete the task:

1. Inserting retrieval tokens:
   a. Read through the text carefully.
   b. Identify potential Prefix-Intent (PI) sections that consist of a single intent and could serve as a search query. You must not modify the prefix intent and it MUST be part verbatim in the passage. It cannot be single or only a few words.
   c. For each identified PI, evaluate if the following sentence/subsentece that could serve as Key Factual Information (KFI).
   d. Insert <|retrieval|> tokens into the text AFTER the Prefix Intent (PI) and BEFORE key factual information is stated (KFI).
   e. Key Factual information should not intersect with Prefix Intent.

2. Identifying Prefix-Intent (PI) and Key Factual Information (KFI):
   a. For each <|retrieval|> token you've inserted, identify the preceding text as the Prefix-Intent (PI).
   b. Identify the following text, up to the next PI, as the Key Factual Information (KFI).
   c. Ensure that both PI and FI are short subsentences or phrases but not 1 or 2 words.

3. Insert <|start-PI|>,<|end-PI|>, <|start-KFI|>, <|end-KFI|>.
   a. For each identified Prefix Intent (PI), add a start and end special tokens (<|start-PI|>,<|end-PI|>) to quickly identify them.
   b. Do the same for the Key Factual Information (KFI) (<|start-KFI|>, <|end-KFI|>)
   c. Ensure that the very first PI in the passage is preceded by <|start-PI|>.
   d. Double-check that every PI and KFI is properly enclosed in these tags.

4. Describing ideal retrieved information:
   a. Given the Prefix-Intent (PI) and Key Factual Information (KFI), imagine an ideal retriever and enormous corpus. 
   b. Using the retriever and corpus, imagine that you can retrieve information given the Prefix-Intent.  
   c. Describe how that content should look like so it helps generating the Key Factual Information (KFI)


5. Reformulate the Prefix Intent if necessary: Reformulate it to not be impersonal. This means that if the subject it is not identified (e.g. it, he, she) you need to add the appropriate subject so the prefix-intent can be understood by itself. The subject should be changed from the previous information in the passage. Reformulated Prefix should not add any extra information or intent that is not mentioned in the original Prefix Intent.


6. Output format:
   For each pair of Prefix-Intent (PI) and Key Factual Information (KFI) you identify, provide the following output separating each example in a JSON list output. Ensure that it is actually a JSON.

   - Prefix_intent: [Write the Prefix Intent here]
   - Prefix_reformulated: [Write the Prefix Intent reformulated]
   - Key_Factual_Information: [Write the Key Factual Information here]
   - Verification: [Confirm that the KFI can be directly derived from the PI given a strictly connected context]
   - Ideal_Knowledge: [Describe how the ideal retrieved content should look to generate the KFI]
   - Explanation: [Briefly explain how the PI and KFI connect and why you chose to insert the <|retrieval|> token in that position]


7. Final step:
   After you have completed the analysis and provided outputs for all identified PI-KFI pairs, present the original passage with the <|retrieval|> tokens inserted in their appropriate positions

Here's an example of the expected output format:

Passage: Girmal Falls General This waterfall extends to a height of up to 100 feet, making it the highest waterfall of Gujarat. The picturesque beauty of this site makes it popular among visitors and people of the region alike. The water swiftly falls from a great height, creating a fog like condition that’s eye catching. The government of this state is working on many projects to make this place an ideal picnic spot and a tourist attraction. The fall comes to its best form at the time of monsoon and provides an immensely striking appearance. Some of the best natural features of Gujarat can be explored in this place. This place is a nice and refreshing retreat for any traveler.

```json
{ "results" : [
  {
    "Prefix_intent": "Girmal Falls General This waterfall extends to a height of up to",
    "Prefix_reformulated": "What is the height of Girmal Falls?",
    "Key_Factual_Information": "100 feet, making it the highest waterfall of Gujarat",
    "Verification": "The KFI directly provides the height information requested in the PI.",
    "Ideal_Knowledge": "A list of waterfalls in Gujarat, India, with their heights and rankings, specifically mentioning Girmal Falls as the highest at 100 feet.",
    "Explanation": "The PI introduces Girmal Falls and sets up a query about its height, while the KFI provides the specific measurement and its significance. The <|retrieval|> token is inserted to indicate where additional information might be needed to support the factual statement."
  },
  {
    "Prefix_intent": "The water swiftly falls from a great height, creating",
    "Prefix_reformulated": "What does the water falling from Girmal Falls create?",
    "Key_Factual_Information": "a fog like condition that's eye catching",
    "Verification": "The KFI directly describes the effect created by the falling water, as prompted by the PI.",
    "Ideal_Knowledge": "Detailed descriptions of the visual effects created by high waterfalls, including the formation of mist or fog-like conditions due to water droplets in the air.",
    "Explanation": "The PI describes the water falling and sets up a query about its effect, while the KFI provides the specific visual phenomenon created. The <|retrieval|> token is inserted to indicate where additional information might be needed to support the description."
  },
  {
    "Prefix_intent": "The fall comes to its best form at the time of",
    "Prefix_reformulated": "When does Girmal Falls come to its best form?",
    "Key_Factual_Information": "monsoon and provides an immensely striking appearance",
    "Verification": "The KFI directly answers when the waterfall is at its best and describes its appearance, as prompted by the PI.",
    "Ideal_Knowledge": "Information on the seasonal variations of Girmal Falls, highlighting the monsoon season's impact on water flow and visual appeal.",
    "Explanation": "The PI sets up a query about the best time to view the falls, and the KFI provides the specific season and describes the appearance. The <|retrieval|> token is inserted to indicate where additional information about seasonal changes might be needed."
  }],
"Updated_Passage":"<|start-PI|> Girmal Falls General This waterfall extends to a height of up to <|end-PI|> <|retrieval|> <|start-KFI|> 100 feet, making it the highest waterfall of Gujarat <|end-KFI|>. The picturesque beauty of this site makes it popular among visitors and people of the region alike. <|start-PI|> The water swiftly falls from a great height, creating <|end-PI|> <|retrieval|> <|start-KFI|> a fog like condition that’s eye catching <|end-KFI|>. The government of this state is working on many projects to make this place an ideal picnic spot and a tourist attraction. <|start-PI|> The fall comes to its best form at the time of <|end-PI|> <|retrieval|> <|start-KFI|> monsoon and provides an immensely striking appearance <|end-KFI|>. Some of the best natural features of Gujarat can be explored in this place. This place is a nice and refreshing retreat for any traveler."
}

```
8. Final check:
  a. Review the Updated_Passage to ensure all PIs and KFIs are properly tagged.
  b. Verify that the first PI in the passage starts with <|start-PI|>.
  c. Make sure there are no missing or misplaced tags.
 
Remember to analyze the entire passage, identify all relevant PI-KFI pairs, and provide the output for each pair as specified. After completing the analysis, present the original passage with the <|retrieval|> tokens inserted in their appropriate positions as part of a new key in the JSON file. Only Ouput the JSON File.