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>
Montreal on June 17. 1776 – May 18–27 – Battle of the Cedars. 1777 – Opening of Spanish and Portuguese Synagogue of Montreal. 1778 – June 3 – The first issue of the Gazette du Commerce et Littéraire pour la Ville et District de Montréal (official organ of Académie de Montréal), the first newspaper in Montreal, is printed in the Château Ramezay by Fleury Mesplet, a former employee of Benjamin Franklin. 1779 – On June 2, the publication of the Gazette Littéraire is stopped. 1780–1800 1783 – The North West Company of Montreal is officially created. 1783 – A lottery is started in Montreal to defray the cost of a new jail. 1783 – Fleury Mesplet gets out of prison in September. 1785 – Fleury Mesplet founds the newspaper The Montreal Gazette / Gazette de Montréal on August 28. 1785 – In February, the Beaver Club is formed by members of the North West Company. 1785 – A dark day on October 10. Candles are lighted at noon. 1785 – Maison Papineau (or Maison John-Campbell) is built at 440 Bonsecours Street. It will be modified in 1831 and 1965. 1786 – John Molson founds the Molson Brewery. 1786 – Allen's Company of Comedians is the first professional theatre company to perform in the city. 1787 – Prince William Henry, later William IV, arrives at Montreal on September 8. 1787–1811 – John Reid is justice of the peace for the district of Montreal, which governs Montreal's affairs. 1788 – The Gazette, formerly a French journal, appears in English. 1789 – Lord Grenville proposes that land in Upper Canada be held in free and common soccage, and that the tenure of Lower Canadian lands be optional with the inhabitants. 1789 – May 4 – The justices of the peace, who govern Montreal's affairs, order "the price and assize of bread, for this month" to be: "the white loaf of 4lbs. at 13d., or 30 sous", etc., and that bakers of the city and suburbs do conform thereto, and mark their bread with their initials. 1789 – Christ Church opens for service on December 20. 1791 – Edmund Burke supports the proposed constitution for Canada, saying that "To attempt to amalgamate two populations, composed of races of men diverse in language, laws and habitudes, is complete absurdity. Let the proposed constitution be founded on man's nature, the only solid basis for an enduring government." 1792 – December 20 – a fortnightly mail is established between Canada and the United States. 1792 – Opening of the first post office in Montreal on 20 December. 1793 – Importation of slaves into Canada is prohibited on July 9. 1799 – Mary Griffin obtains the lease to Griffintown from a business associate of Thomas McCord. 1799 – The census of 1799 lists 9,000 inhabitants while that of 1761 lists 5,500. 1799 – Citizens of Montreal petition to secure master's rights over slaves 1799 – A measure respecting slavery in Lower Canada does not pass. 1799 – Of twenty-one members of Council, in Lower Canada, six are French Canadians. 1799 – The Court House is completed. 1799 – January 3 – Parliament appropriates $5,000 for a new Montreal Court House. 1800 – Alexander Skakel moves from Quebec City to Montreal and establishes the Classical and Mathematical School. This was the principal educational institution for the English-speaking population. 1800 – Thomas Walker is elected to the Legislative Assembly of Lower Canada for Montreal County. 1800 – Thomas Porteous (merchant) purchases the seigneury of Terrebonne. 19th century 1801–1819 1802 The first unofficial cavalry corps is formed in Montreal. 1803–15 –
</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.