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Example prompts

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Add sorting, document merging, set intersection and keyword counting prompt examples

Co-authored-by: Ales Kubicek <kubicek.ales@outlook.com>
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This directory contains scripts for running various examples using the Graph of Thoughts package. Each script is a standalone Python program that sets up and runs a particular example.
We further include prompt files for each example that can be used to test prompts manually in a console.
Please refer to the individual example directories for more information on the specific example.

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# Set Intersection for 32-Element Sets - Prompts and Examples
## Prompt Templates
### GENERATE: split_prompt
Replace `{input}` with the input list/set of numbers to be split.
```
<Instruction> Split the following list of 32 numbers into 2 lists of 16 numbers each, the first list should contain the first 16 numbers and the second list the second 16 numbers.
Only output the 2 lists in the following format without any additional text or thoughts!:
{
"List 1": [13, 16, 30, 6, 21, 7, 31, ...],
"List 2": [25, 24, 10, 4, 27, 0, 14, ...]
} </Instruction>
<Example>
Input: [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22, 33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
Output:
{
"List 1": [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22],
"List 2": [33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
}
</Example>
Input: {input}
```
### GENERATE: intersect_prompt
Replace `{set1}` and `{set2}` with the sets to be intersected.
```
<Instruction> Find the intersection of two sets of numbers. Output only the set of numbers that are present in both sets, no additional text. </Instruction>
<Examples>
Input Set 1: [13, 16, 30, 6, 21, 7, 31, 15, 11, 1, 24, 10, 9, 3, 20, 8]
Input Set 2: [25, 24, 10, 4, 27, 0, 14, 12, 8, 2, 29, 20, 17, 19, 26, 23]
Output: [24, 10, 20, 8]
Input Set 1: [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22, 33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
Input Set 2: [16, 60, 36, 48, 0, 15, 5, 19, 46, 24, 1, 6, 61, 10, 38, 53, 58, 9, 44, 14, 35, 63, 52, 20, 27, 17, 39, 47, 34, 56, 40, 59]
Output: [40, 15, 5, 24, 35, 59, 16, 63]
Input Set 1: [115, 61, 35, 103, 90, 117, 86, 44, 63, 45, 40, 30, 74, 33, 31, 1, 118, 48, 38, 0, 119, 51, 64, 78, 15, 121, 89, 101, 79, 69, 120, 29, 58, 50, 116, 11, 60, 12, 39, 95, 23, 2, 109, 84, 7, 43, 99, 98, 52, 70, 75, 102, 57, 19, 94, 36, 114, 88, 71, 56, 83, 6, 96, 107]
Input Set 2: [13, 35, 20, 96, 34, 18, 47, 127, 126, 9, 21, 16, 77, 22, 111, 122, 85, 73, 42, 105, 123, 15, 33, 59, 67, 57, 104, 8, 30, 89, 76, 12, 65, 84, 32, 40, 7, 100, 108, 50, 14, 28, 24, 53, 90, 17, 91, 81, 124, 63, 5, 46, 125, 93, 49, 66, 117, 37, 115, 113, 2, 106, 41, 72]
Output: [115, 35, 90, 117, 63, 40, 30, 33, 15, 89, 50, 12, 2, 84, 7, 57, 96]
</Examples>
Input Set 1: {set1}
Input Set 2: {set2}
```
### Aggregate: merge_prompt
Replace `{input1}` and `{input2}` with the lists/sets to be merged.
```
<Instruction> Merge the following 2 lists of length 16 each, into one list of length 32 by appending the second list to the first list.
Only output the final list without any additional text or thoughts! </Instruction>
List 1: {input1}
List 2: {input2}
```
## Complete Example Prompts
### The GoO Summarised
1. Split the second input set into two sub-sets of equal size (split prompt)
2. For each sub-set: Intersect the sub-set with the first input set (intersect prompt) five times; score each sort attempt; keep the best
3. Merge the resulting intersections into one full intersection set (merge prompt) 10 times; score each merge attempt; keep the best
### Input
```
[31, 11, 4, 63, 38, 58, 59, 24, 61, 14, 32, 39, 27, 46, 48, 19, 52, 57, 50, 56, 3, 2, 53, 29, 5, 37, 62, 41, 36, 12, 49, 16]
```
### Step 1 - Prompt
```
<Instruction> Split the following list of 32 numbers into 2 lists of 16 numbers each, the first list should contain the first 16 numbers and the second list the second 16 numbers.
Only output the 2 lists in the following format without any additional text or thoughts!:
{
"List 1": [13, 16, 30, 6, 21, 7, 31, ...],
"List 2": [25, 24, 10, 4, 27, 0, 14, ...]
} </Instruction>
<Example>
Input: [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22, 33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
Output:
{
"List 1": [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22],
"List 2": [33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
}
</Example>
Input: [31, 11, 4, 63, 38, 58, 59, 24, 61, 14, 32, 39, 27, 46, 48, 19, 52, 57, 50, 56, 3, 2, 53, 29, 5, 37, 62, 41, 36, 12, 49, 16]
```
### Step 1 - Response
```
{
"List 1": [31, 11, 4, 63, 38, 58, 59, 24, 61, 14, 32, 39, 27, 46, 48, 19],
"List 2": [52, 57, 50, 56, 3, 2, 53, 29, 5, 37, 62, 41, 36, 12, 49, 16]
}
```
### Step 2a - Prompt
```
<Instruction> Find the intersection of two sets of numbers. Output only the set of numbers that are present in both sets, no additional text. </Instruction>
<Examples>
Input Set 1: [13, 16, 30, 6, 21, 7, 31, 15, 11, 1, 24, 10, 9, 3, 20, 8]
Input Set 2: [25, 24, 10, 4, 27, 0, 14, 12, 8, 2, 29, 20, 17, 19, 26, 23]
Output: [24, 10, 20, 8]
Input Set 1: [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22, 33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
Input Set 2: [16, 60, 36, 48, 0, 15, 5, 19, 46, 24, 1, 6, 61, 10, 38, 53, 58, 9, 44, 14, 35, 63, 52, 20, 27, 17, 39, 47, 34, 56, 40, 59]
Output: [40, 15, 5, 24, 35, 59, 16, 63]
Input Set 1: [115, 61, 35, 103, 90, 117, 86, 44, 63, 45, 40, 30, 74, 33, 31, 1, 118, 48, 38, 0, 119, 51, 64, 78, 15, 121, 89, 101, 79, 69, 120, 29, 58, 50, 116, 11, 60, 12, 39, 95, 23, 2, 109, 84, 7, 43, 99, 98, 52, 70, 75, 102, 57, 19, 94, 36, 114, 88, 71, 56, 83, 6, 96, 107]
Input Set 2: [13, 35, 20, 96, 34, 18, 47, 127, 126, 9, 21, 16, 77, 22, 111, 122, 85, 73, 42, 105, 123, 15, 33, 59, 67, 57, 104, 8, 30, 89, 76, 12, 65, 84, 32, 40, 7, 100, 108, 50, 14, 28, 24, 53, 90, 17, 91, 81, 124, 63, 5, 46, 125, 93, 49, 66, 117, 37, 115, 113, 2, 106, 41, 72]
Output: [115, 35, 90, 117, 63, 40, 30, 33, 15, 89, 50, 12, 2, 84, 7, 57, 96]
</Examples>
Input Set 1: [11, 60, 1, 49, 21, 33, 14, 56, 54, 15, 23, 40, 45, 22, 7, 28, 20, 46, 51, 6, 34, 37, 3, 50, 17, 8, 25, 0, 35, 47, 18, 19]
Input Set 2: [31, 11, 4, 63, 38, 58, 59, 24, 61, 14, 32, 39, 27, 46, 48, 19]
```
### Step 2a - 5 Responses
```
1. [11, 14, 46, 14, 19]
2. Output: [11, 14, 46, 19]
3. [11, 14, 46, 14, 19]
4. [11, 14, 46, 19]
5. [11, 14, 46, 14, 19]
```
### Step 2b - Prompt
```
<Instruction> Find the intersection of two sets of numbers. Output only the set of numbers that are present in both sets, no additional text. </Instruction>
<Examples>
Input Set 1: [13, 16, 30, 6, 21, 7, 31, 15, 11, 1, 24, 10, 9, 3, 20, 8]
Input Set 2: [25, 24, 10, 4, 27, 0, 14, 12, 8, 2, 29, 20, 17, 19, 26, 23]
Output: [24, 10, 20, 8]
Input Set 1: [26, 40, 42, 57, 15, 31, 5, 32, 11, 4, 24, 28, 51, 54, 12, 22, 33, 35, 7, 13, 2, 59, 8, 23, 43, 16, 29, 55, 25, 63, 21, 18]
Input Set 2: [16, 60, 36, 48, 0, 15, 5, 19, 46, 24, 1, 6, 61, 10, 38, 53, 58, 9, 44, 14, 35, 63, 52, 20, 27, 17, 39, 47, 34, 56, 40, 59]
Output: [40, 15, 5, 24, 35, 59, 16, 63]
Input Set 1: [115, 61, 35, 103, 90, 117, 86, 44, 63, 45, 40, 30, 74, 33, 31, 1, 118, 48, 38, 0, 119, 51, 64, 78, 15, 121, 89, 101, 79, 69, 120, 29, 58, 50, 116, 11, 60, 12, 39, 95, 23, 2, 109, 84, 7, 43, 99, 98, 52, 70, 75, 102, 57, 19, 94, 36, 114, 88, 71, 56, 83, 6, 96, 107]
Input Set 2: [13, 35, 20, 96, 34, 18, 47, 127, 126, 9, 21, 16, 77, 22, 111, 122, 85, 73, 42, 105, 123, 15, 33, 59, 67, 57, 104, 8, 30, 89, 76, 12, 65, 84, 32, 40, 7, 100, 108, 50, 14, 28, 24, 53, 90, 17, 91, 81, 124, 63, 5, 46, 125, 93, 49, 66, 117, 37, 115, 113, 2, 106, 41, 72]
Output: [115, 35, 90, 117, 63, 40, 30, 33, 15, 89, 50, 12, 2, 84, 7, 57, 96]
</Examples>
Input Set 1: [11, 60, 1, 49, 21, 33, 14, 56, 54, 15, 23, 40, 45, 22, 7, 28, 20, 46, 51, 6, 34, 37, 3, 50, 17, 8, 25, 0, 35, 47, 18, 19]
Input Set 2: [52, 57, 50, 56, 3, 2, 53, 29, 5, 37, 62, 41, 36, 12, 49, 16]
```
### Step 2b - 5 Responses
```
1. [50, 56, 49]
2. [50, 56, 37, 49]
3. [56, 49, 37, 3, 50]
4. [50, 56, 37, 49]
5. [50, 56, 37, 49]
```
### Step 3 - Prompt
```
<Instruction> Merge the following 2 lists of length 16 each, into one list of length 32 by appending the second list to the first list.
Only output the final list without any additional text or thoughts! </Instruction>
List 1: [11, 14, 46, 19]
List 2: [56, 49, 37, 3, 50]
```
### Step 3 - 10 Responses
```
1. [11, 14, 46, 19, 56, 49, 37, 3, 50]
2. [11, 14, 46, 19, 56, 49, 37, 3, 50]
3. [11, 14, 46, 19, 56, 49, 37, 3, 50]
4. [11, 14, 46, 19, 56, 49, 37, 3, 50]
5. [11, 14, 46, 19, 56, 49, 37, 3, 50]
6. [11, 14, 46, 19, 56, 49, 37, 3, 50]
7. [11, 14, 46, 19, 56, 49, 37, 3, 50]
8. [11, 14, 46, 19, 56, 49, 37, 3, 50]
9. [11, 14, 46, 19, 56, 49, 37, 3, 50]
10. [11, 14, 46, 19, 56, 49, 37, 3, 50]
```
### Final Result
```
[11, 14, 46, 19, 56, 49, 37, 3, 50]
```

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# Sorting 32 Numbers - Prompts and Examples
## Prompt Templates
### GENERATE: split_prompt
Replace `{input}` with the input list of numbers to be split.
```
<Instruction> Split the following list of 32 numbers into 2 lists of 16 numbers each, the first list should contain the first 16 numbers and the second list the second 16 numbers.
Only output the final 4 lists in the following format without any additional text or thoughts!:
{
"List 1": [3, 4, 3, 5, 7, 8, 1, ...],
"List 2": [2, 9, 2, 4, 7, 1, 5, ...]
} </Instruction>
<Example>
Input: [9, 6, 7, 7, 2, 0, 2, 2, 3, 5, 0, 9, 2, 2, 4, 4, 5, 2, 5, 1, 2, 8, 3, 8, 3, 9, 6, 0, 4, 2, 2, 3]
Output:
{
"List 1": [9, 6, 7, 7, 2, 0, 2, 2, 3, 5, 0, 9, 2, 2, 4, 4],
"List 2": [5, 2, 5, 1, 2, 8, 3, 8, 3, 9, 6, 0, 4, 2, 2, 3]
}
</Example>
Input: {input}
```
### GENERATE: sort_prompt
Replace `{input}` with the input list of numbers to be sorted.
```
<Instruction> Sort the following list of numbers in ascending order. Output only the sorted list of numbers, no additional text. </Instruction>
<Examples>
Input: [5, 1, 0, 1, 2, 0, 4, 8, 1, 9, 5, 1, 3, 3, 9, 7]
Output: [0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 7, 8, 9, 9]
Input: [3, 7, 0, 2, 8, 1, 2, 2, 2, 4, 7, 8, 5, 5, 3, 9, 4, 3, 5, 6, 6, 4, 4, 5, 2, 0, 9, 3, 3, 9, 2, 1]
Output: [0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9]
Input: [4, 4, 9, 7, 9, 7, 0, 0, 4, 9, 1, 7, 9, 5, 8, 7, 5, 6, 3, 8, 6, 7, 5, 8, 5, 0, 6, 3, 7, 0, 5, 3, 7, 5, 2, 4, 4, 9, 0, 7, 8, 2, 7, 7, 7, 2, 1, 3, 9, 9, 7, 9, 6, 6, 4, 5, 4, 2, 0, 8, 9, 0, 2, 2]
Output: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]
</Examples>
Input: {input}
```
### IMPROVE: improve_prompt
Replace `{input}` with the input list of numbers to be sorted and `{incorrectly_sorted}` with the incorrectly sorted list of numbers. `{length}` is the length of the input list.
```
<Instruction> The following two lists represent an unsorted list of numbers and a sorted variant of that list. The sorted variant is not correct. Fix the sorted variant so that it is correct.
Make sure that the output list is sorted in ascending order, has the same number of elements as the input list ({length}), and contains the same elements as the input list. </Instruction>
<Approach>
To fix the incorrectly sorted list follow these steps:
1. For each number from 0 to 9, compare the frequency of that number in the incorrectly sorted list to the frequency of that number in the input list.
2. Iterate through the incorrectly sorted list and add or remove numbers as needed to make the frequency of each number in the incorrectly sorted list match the frequency of that number in the input list.
</Approach>
<Examples>
Input: [3, 7, 0, 2, 8, 1, 2, 2, 2, 4, 7, 8, 5, 5, 3, 9]
Incorrectly Sorted: [0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 7, 7, 8, 8, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains four extra 0s, two extra 4s and three extra 9s and is missing two 2s.
Output: [0, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 7, 7, 8, 8, 9]
Input: [6, 4, 5, 7, 5, 6, 9, 7, 6, 9, 4, 6, 9, 8, 1, 9, 2, 4, 9, 0, 7, 6, 5, 6, 6, 2, 8, 3, 9, 5, 6, 1]
Incorrectly Sorted: [0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains two extra 4s and is missing two 6s and one 9.
Output: [0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9]
Input: [4, 4, 9, 7, 9, 7, 0, 0, 4, 9, 1, 7, 9, 5, 8, 7, 5, 6, 3, 8, 6, 7, 5, 8, 5, 0, 6, 3, 7, 0, 5, 3, 7, 5, 2, 4, 4, 9, 0, 7, 8, 2, 7, 7, 7, 2, 1, 3, 9, 9, 7, 9, 6, 6, 4, 5, 4, 2, 0, 8, 9, 0, 2, 2]
Incorrectly Sorted: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains one extra 8 and is missing two 2s, one 3, three 4s, two 5s, one 6, six 7s and one 9.
Output: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]
</Examples>
Input: {input}
Incorrectly Sorted: {incorrectly_sorted}
```
### Aggregate: aggregate_prompt
Replace `{input_list1}` and `{input_list2}` with the input lists of numbers to be merged. `{length}` is the length of each input list and `{length_combined}` is the length of the combined list.
```
<Instruction> Merge the following 2 sorted lists of length {length} each, into one sorted list of length {length_combined} using a merge sort style approach.
Only output the final merged list without any additional text or thoughts!:</Instruction>
<Approach>
To merge the two lists in a merge-sort style approach, foloow these steps:
1. Compare the first element of both lists.
2. Append the smaller element to the merged list and move to the next element in the list from which the smaller element came.
3. Repeat steps 1 and 2 until one of the lists is empty.
4. Append the remaining elements of the non-empty list to the merged list.
</Approach>
Merge the following two lists into one sorted list:
1: {input_list1}
2: {input_list2}
Merged list:
```
## Complete Example Prompts
### The GoO Summarised
1. Split the input list into two sub-lists of equal size (split prompt)
2. For each sub-list: Sort the sub-list (sort prompt) five times; score each sort attempt; keep the best
3. Merge the sorted sub-lists into one fully sorted list (merge prompt) 10 times; score each merge attempt; keep the best
4. Fix any potential mistakes in the sorted list (improve prompt) 10 times; score each improvement attempt; keep the best
### Input
```
[8, 7, 1, 1, 1, 1, 3, 3, 0, 9, 4, 1, 0, 2, 5, 1, 0, 5, 6, 7, 1, 4, 5, 9, 4, 6, 2, 5, 8, 6, 2, 6]
```
### Step 1 - Prompt
```
<Instruction> Split the following list of 32 numbers into 2 lists of 16 numbers each, the first list should contain the first 16 numbers and the second list the second 16 numbers.
Only output the final 4 lists in the following format without any additional text or thoughts!:
{
"List 1": [3, 4, 3, 5, 7, 8, 1, ...],
"List 2": [2, 9, 2, 4, 7, 1, 5, ...]
} </Instruction>
<Example>
Input: [9, 6, 7, 7, 2, 0, 2, 2, 3, 5, 0, 9, 2, 2, 4, 4, 5, 2, 5, 1, 2, 8, 3, 8, 3, 9, 6, 0, 4, 2, 2, 3]
Output:
{
"List 1": [9, 6, 7, 7, 2, 0, 2, 2, 3, 5, 0, 9, 2, 2, 4, 4],
"List 2": [5, 2, 5, 1, 2, 8, 3, 8, 3, 9, 6, 0, 4, 2, 2, 3]
}
</Example>
Input: [8, 7, 1, 1, 1, 1, 3, 3, 0, 9, 4, 1, 0, 2, 5, 1, 0, 5, 6, 7, 1, 4, 5, 9, 4, 6, 2, 5, 8, 6, 2, 6]
```
### Step 1 - Response
```
{
"List 1": [8, 7, 1, 1, 1, 1, 3, 3, 0, 9, 4, 1, 0, 2, 5, 1],
"List 2": [0, 5, 6, 7, 1, 4, 5, 9, 4, 6, 2, 5, 8, 6, 2, 6]
}
```
### Step 2a - Prompt
```
<Instruction> Sort the following list of numbers in ascending order. Output only the sorted list of numbers, no additional text. </Instruction>
<Examples>
Input: [5, 1, 0, 1, 2, 0, 4, 8, 1, 9, 5, 1, 3, 3, 9, 7]
Output: [0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 7, 8, 9, 9]
Input: [3, 7, 0, 2, 8, 1, 2, 2, 2, 4, 7, 8, 5, 5, 3, 9, 4, 3, 5, 6, 6, 4, 4, 5, 2, 0, 9, 3, 3, 9, 2, 1]
Output: [0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9]
Input: [4, 4, 9, 7, 9, 7, 0, 0, 4, 9, 1, 7, 9, 5, 8, 7, 5, 6, 3, 8, 6, 7, 5, 8, 5, 0, 6, 3, 7, 0, 5, 3, 7, 5, 2, 4, 4, 9, 0, 7, 8, 2, 7, 7, 7, 2, 1, 3, 9, 9, 7, 9, 6, 6, 4, 5, 4, 2, 0, 8, 9, 0, 2, 2]
Output: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]
</Examples>
Input: [8, 7, 1, 1, 1, 1, 3, 3, 0, 9, 4, 1, 0, 2, 5, 1]
```
### Step 2a - 5 Responses
```
1. [0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
2. [0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
3. [0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
4. [0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
5. [0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
```
### Step 2b - Prompt
```
<Instruction> Sort the following list of numbers in ascending order. Output only the sorted list of numbers, no additional text. </Instruction>
<Examples>
Input: [5, 1, 0, 1, 2, 0, 4, 8, 1, 9, 5, 1, 3, 3, 9, 7]
Output: [0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 7, 8, 9, 9]
Input: [3, 7, 0, 2, 8, 1, 2, 2, 2, 4, 7, 8, 5, 5, 3, 9, 4, 3, 5, 6, 6, 4, 4, 5, 2, 0, 9, 3, 3, 9, 2, 1]
Output: [0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9]
Input: [4, 4, 9, 7, 9, 7, 0, 0, 4, 9, 1, 7, 9, 5, 8, 7, 5, 6, 3, 8, 6, 7, 5, 8, 5, 0, 6, 3, 7, 0, 5, 3, 7, 5, 2, 4, 4, 9, 0, 7, 8, 2, 7, 7, 7, 2, 1, 3, 9, 9, 7, 9, 6, 6, 4, 5, 4, 2, 0, 8, 9, 0, 2, 2]
Output: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]
</Examples>
Input: [0, 5, 6, 7, 1, 4, 5, 9, 4, 6, 2, 5, 8, 6, 2, 6]
```
### Step 2b - 5 Responses
```
1. [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9]
2. [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9]
3. [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9]
4. [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9]
5. [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9]
```
### Step 3 - Prompt
```
<Instruction> Merge the following 2 sorted lists of length 16 each, into one sorted list of length 32 using a merge sort style approach.
Only output the final merged list without any additional text or thoughts!:</Instruction>
<Approach>
To merge the two lists in a merge-sort style approach, foloow these steps:
1. Compare the first element of both lists.
2. Append the smaller element to the merged list and move to the next element in the list from which the smaller element came.
3. Repeat steps 1 and 2 until one of the lists is empty.
4. Append the remaining elements of the non-empty list to the merged list.
</Approach>
Merge the following two lists into one sorted list:
1: [0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 9]
2: [0, 1, 2, 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9]
Merged list:
```
### Step 3 - 10 Responses
```
1. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
2. [0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
3. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
4. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9]
5. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
6. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
7. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
8. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
9. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
10. [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
```
### Step 4 - Prompt
```
<Instruction> The following two lists represent an unsorted list of numbers and a sorted variant of that list. The sorted variant is not correct. Fix the sorted variant so that it is correct.
Make sure that the output list is sorted in ascending order, has the same number of elements as the input list (32), and contains the same elements as the input list. </Instruction>
<Approach>
To fix the incorrectly sorted list follow these steps:
1. For each number from 0 to 9, compare the frequency of that number in the incorrectly sorted list to the frequency of that number in the input list.
2. Iterate through the incorrectly sorted list and add or remove numbers as needed to make the frequency of each number in the incorrectly sorted list match the frequency of that number in the input list.
</Approach>
<Examples>
Input: [3, 7, 0, 2, 8, 1, 2, 2, 2, 4, 7, 8, 5, 5, 3, 9]
Incorrectly Sorted: [0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 7, 7, 8, 8, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains four extra 0s, two extra 4s and three extra 9s and is missing two 2s.
Output: [0, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 7, 7, 8, 8, 9]
Input: [6, 4, 5, 7, 5, 6, 9, 7, 6, 9, 4, 6, 9, 8, 1, 9, 2, 4, 9, 0, 7, 6, 5, 6, 6, 2, 8, 3, 9, 5, 6, 1]
Incorrectly Sorted: [0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains two extra 4s and is missing two 6s and one 9.
Output: [0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9]
Input: [4, 4, 9, 7, 9, 7, 0, 0, 4, 9, 1, 7, 9, 5, 8, 7, 5, 6, 3, 8, 6, 7, 5, 8, 5, 0, 6, 3, 7, 0, 5, 3, 7, 5, 2, 4, 4, 9, 0, 7, 8, 2, 7, 7, 7, 2, 1, 3, 9, 9, 7, 9, 6, 6, 4, 5, 4, 2, 0, 8, 9, 0, 2, 2]
Incorrectly Sorted: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9]
Reason: The incorrectly sorted list contains one extra 8 and is missing two 2s, one 3, three 4s, two 5s, one 6, six 7s and one 9.
Output: [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9]
</Examples>
Input: [8, 7, 1, 1, 1, 1, 3, 3, 0, 9, 4, 1, 0, 2, 5, 1, 0, 5, 6, 7, 1, 4, 5, 9, 4, 6, 2, 5, 8, 6, 2, 6]
Incorrectly Sorted: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
```
### Step 4 - 10 Responses
```
1. Reason: The incorrectly sorted list is missing two 0s, one 3, one 4, one 6 and one 9. The incorrectly sorted list also contains one extra 1, one extra 2, and one extra 5.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
Note: The output list has the same number of elements as the input list, is sorted in ascending order, and contains the same elements as the input list.
2. Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
3. Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9]
4. Reason: The incorrectly sorted list is missing two 9s and one 0.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9]
5. Reason: The incorrectly sorted list is missing one 0, one 3, one 4, four 6s, and one 9.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9]
6. Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9]
7. Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
8. Reason: The incorrectly sorted list is missing three 0s, two 3s, two 4s, one 5, two 6s, and one 9.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9]
9. Reason: The incorrectly sorted list is missing one 0, three 2s, two 3s, two 4s, three 5s, two 6s, one 7, and one 9.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9]
10. Reason: The incorrectly sorted list is missing three 1s, one 3, one 4, two 5s, one 6, one 7, one 8, and one 9.
Output: [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
```
### Final Result
```
[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9]
```