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>
intermediary Marie Bigot. Born in Colmar in 1786, she was a highly accomplished keyboard player. In 1804, she moved to Vienna, where her performances attracted the admiration of Haydn, Salieri and Beethoven; her husband served as librarian to Beethoven's patron Count Razumovsky. In Vienna she became familiar with the keyboard and chamber music of Bach through the musical circles of Baron van Swieten, who had died a year before her arrival. Obliged to return to France in 1809 because of the Napoleonic wars, during the period 1809–1813 she proceeded to mount concerts in Paris with the violinist Pierre Baillot and the cellist Jacques-Michel Hurel de Lamare. After 1813, as a result of political events, she restricted herself to teaching, taking Felix Mendelssohn and his sister Fanny as pupils in 1816–1817. Bach's sonatas for violin and keyboard featured in the repertoire of the Paris concerts and prompted the musicologist François-Joseph Fétis to comment that, "Anybody who has not heard Bach's beautiful compositions played by Mme Bigot, Lamare and Baillot will not know how far the perfection of instrumental music can go." Later around 1820 Fétis himself attempted unsuccessfully to advance the musique d'autre-fois of Bach: his invitation for subscriptions to a proposed publication of organ works by Bach elicited only three responses. Another musicologist who had attended many of the recitals of Bigot was the musicologist Jérôme-Joseph de Momigny. Of their performance of BWV 1014 in 1810 he wrote: The writings of Momigny can be considered as marking the reawakening of an interest in Bach in France. Already in 1803, barely a year after the publication of Forkel's biography of Bach, he had started his study of polyphony with the fugues and sonatas of Bach. One of Momigny's main contributions was an article in the music section of the Encyclopédie méthodique ou par ordre de matière (1818) analysing the sonatas BWV 1014 and BWV 1015/1. The article discusses the development of the sonata in the eighteenth century, divided into halves, with the sonatas of Bach, in Nägeli's edition, taken as representatives for 1700–1750 and the piano sonatas of Haydn for 1750–1800. Although Momigny enthusiastically wrote of Bach, c'est dans les trente ou quarante premières années du siècle dernier, qu'il offrit au public les fruits pleins de maturité de son génie transcendant,—"it was in the first thirty or forty years of the last century that he gave the public the fully matured fruits of his transcendent genius"—the general revival of interest in the music of Bach, particularly his choral works, was slower in France than in Germany. While referring to the timelessness and influence of Bach's music, Momigny lamented that the sonatas were so rarely performed; he wrote that the time was not ripe because of changes in musical taste, but also observed that "there are very few people capable of playing them and understanding them". At the beginning of the twentieth century there was an increased interest in classical chamber music in France. The onset of the First World War and resulting issues of nationalism prompted French music publishers to bring out their own editions of classic German works to replace German editions. Claude Debussy was the editor for Durand's version of BWV 1014–1019. Arrangements and transcriptions Arrangement of the six sonatas for viola and piano, Friedrich Hermann (1828–1907), Library of Viola Music, Breitkopf & Härtel. Arrangements by the German violinist August Wilhelmj: Adagio, BWV 1016/i, for violin and organ, 1885, Berlin: Schlesinger. Siciliano, BWV 1017/i, for violin and orchestra, 1885, Berlin: Schlesinger. Arrangements for piano: Allegro, BWV 1014/i, two pianos, Michael Gottlieb. Andante, BWV 1015/iii, piano solo, Ludwig Stark (1831–1884).
</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.