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>
Spanish (though predominantly Francophone) district of Alta Luisiana east of Continental Divide, 1764–1803 Third Treaty of San Ildefonso of 1800 French district of Haute-Louisiane east of Continental Divide, 1803 Louisiana Purchase of 1803 Unorganized U.S. territory created by the Louisiana Purchase east of Continental Divide, 1803–1804 Lewis and Clark Expedition, 1804–1806 District of Louisiana east of Continental Divide, 1804–1805 Fur trade in Montana, 1806–1850s Territory of Louisiana east of Continental Divide, 1805–1812 Territory of Missouri east of Continental Divide, 1812–1821 War of 1812, June 18, 1812 – March 23, 1815 Treaty of Ghent, December 24, 1814 Anglo-American Convention of 1818 Oregon Country west of Continental Divide, 1818–1846 Provisional Government of Oregon, 1843–1848 Oregon Treaty of 1846 Unorganized Territory east of Continental Divide, 1821–1854 Treaty of Fort Laramie of 1851 Mexican–American War, April 25, 1846 – February 2, 1848 Territory of Oregon west of Continental Divide, 1848–1859 Territory of Washington west of Continental Divide, (1853–1863)–1889 Territory of Nebraska east of Continental Divide, (1854–1861)–1867 Territory of Dakota east of Continental Divide, (1861–1863)–1889 Territory of Idaho, (1863–1864)–1890 Territory of Montana, 1864–1889 Montana pioneers American Civil War, April 12, 1861 – May 13, 1865 Montana in the American Civil War Red Cloud's War, 1866–1868 Treaty of Fort Laramie of 1868 Yellowstone National Park designated first United States National Park on March 1, 1872 Expeditions and the protection of Yellowstone (1869–1890) Black Hills War, 1876–1877 Battle of the Rosebud, 1876 Battle of the Little Bighorn, 1876 Nez Perce War, 1877 State of Montana becomes 41st state admitted to the United States of America on November 8, 1889 History of Montana, by region By city History of Anaconda History of Billings History of Butte History of Choteau History of Colstrip History of Columbia Falls History of Conrad History of Cut Bank History of Deer Lodge History of Dillon History of East Helena History of Forsyth History of Fort Benton History of Glasgow History of Glendive History of Great Falls History of Hamilton History of Hardin History of Harlem History of Harlowton History of Havre History of Helena History of Kalispell History of Laurel History of Lewistown History of Libby History of Livingston History of Malta History of Miles City History of Missoula History of Plentywood History of Polson History of Poplar History of Red Lodge History of Ronan History of Roundup History of Scobey History of Shelby History of Sidney History of Thompson Falls History of Three Forks History of Townsend History of Troy History of Whitefish History of White Sulphur Springs History of Wolf Point History of Montana, by subject Fur trade in Montana Notable figures in Montana history Territorial evolution of Montana History publications about Montana Bibliography of Montana history Culture of Montana Culture of Montana Museums in Montana Religion in Montana Episcopal Diocese of Montana Scouting in Montana State symbols of Montana Flag of the state of Montana Great Seal of the State of Montana The Arts in Montana Music of Montana Sports in Montana Sports in Montana Economy and infrastructure of Montana Economy of Montana Cemeteries in Montana Communications in Montana Newspapers in Montana Radio stations in Montana Television stations in Montana Health care in Montana Hospitals in Montana Manufacturing in Montana Simms Fishing Products Transportation in Montana Airports in Montana Water in Montana Reservoirs in Montana Tunnels in Montana Education in Montana Education in Montana Schools in Montana School districts in Montana High schools in Montana Colleges and universities in Montana University of Montana Montana State University See also Topic overview: Montana Index of Montana-related articles References External links Montana Montana
</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.