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>
Rabbeinu Tam Jacob ben Meir (1100 in Ramerupt – 9 June 1171 (4 Tammuz) in Troyes), best known as Rabbeinu Tam (), was one of the most renowned Ashkenazi Jewish rabbis and leading French Tosafists, a leading halakhic authority in his generation, and a grandson of Rashi. Known as "Rabbeinu" (our teacher), he acquired the Hebrew suffix "Tam" meaning straightforward; it was originally used in the Book of Genesis to describe his biblical namesake, Jacob. Biography Jacob ben Meir was born in the French country village of Ramerupt, in the Aube département of northern-central France, to Meir ben Shmuel and Yocheved, daughter of Rashi. His primary teachers were his father and his brother, Shmuel ben Meir, known as Rashbam. His other brothers were Isaac, known as the Rivam, and Solomon the Grammarian. He married Miriam, the sister of R. Shimshon ben Yosef of Falaise, Calvados, who may have been his second wife. His reputation as a legal scholar spread far beyond France. Avraham ibn Daud, the Spanish chronicler of the sages, mentioned Rabbeinu Tam in his Sefer HaKabbalah, but not Rashi. The Italian Mishnaic exegete, Rabbi Isaac ben Melchizedek of Siponto, maintained a written correspondence with Rabbeinu Tam. Rabbeinu Tam's work is also cited by Rabbi Zerachya HaLevi, a Provençal critic. He maintained a scholarly correspondence with Aaron ben Joseph of Beaugency and received questions from students throughout France and from the Italian communities of Bari and Otranto. Rabbeinu Tam gave his Beth Din the title of "the generation's [most] significant court", and indeed, he is known for communal enactments improving Jewish family life, education, and women's status. At times, he criticised Halakhic opponents, notably in his controversies with Meshullam of Melun and Efraim of Regensburg. Halakhic disputes Legend has it that when Rashi was holding his infant grandson, the baby touched the tefillin that were on Rashi's head. Rashi predicted that this grandson would later disagree with him about the order of the scripts that are put in the head tefillin. Regardless of the episode's veracity, Rabbeinu Tam did disagree with the opinion of his antecedent. Today, both "Rashi tefillin" and "Rabbeinu Tam tefillin" are produced: the Shulchan Aruch requires wearing Rashi's version and recommends that God-fearing Jews wear both in order to satisfy both halakhic opinions. However: However, many Sephardic and chasidic Jews wear Rabbeinu Tam's Tefillin (in addition to wearing Rashi's) per opinions presented in the Shulchan Aruch and its extensive commentaries authored throughout the early-modern and modern era. The rise and articulation of chasidic philosophy has conflated the kabbalistic and halakhic aspects of Rabbeinu Tam's position, popularizing the custom to wear both pairs every day. Wearing Rabbeinu Tam tefillin is an almost universal custom among the many and diverse communities that follow the teachings of the Baal Shem Tov and his students. Another halakhic disagreement between Rabbeinu Tam and Rashi concerns the placement of the mezuzah. Rashi rules that it should be mounted on the doorpost in a vertical position; Rabbeinu Tam holds that it should be mounted horizontally. In a compromise solution, many Ashkenazi Jews place the mezuzah on the door in a slanted position. Sephardi Jews mount the mezuzah vertically, per the opinions of Rashi, Maimonides, and the Shulchan Aruch. Liturgical poet In the field of Hebrew poetry the importance of R. Tam is not slight. He was influenced by the poetry of the Spaniards, and is the chief representative of the transition period, in Christian lands, from the old "payyeṭanic" mode of expression to the more graceful forms of the Spanish school. According to Zunz, he composed the following pieces for the synagogue:
</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.