answer
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" "Leave your plans with me, and come back in a week.
|
{"source_dataset": "sentence_reordering", "source_index": 0, "word_count": 11, "difficulty": {"words_in_sentence": [3, 20]}, "task_name": "RG.sentence_reordering", "_question": "Restore the correct order of words in the following sentence: and a me, \"Leave back \" plans in your with week. come", "_time": 0.002587556838989258, "_task": "rg", "_level": 0}
|
Restore the correct order of words in the following sentence: and a me, "Leave back " plans in your with week. come
|
rg
|
6
|
{"source_dataset": "maze", "source_index": 0, "grid_size": 9, "grid": ["666666666", "6\\\\\\\\W\\66", "6\\\\\\\\\\\\\\6", "60\\6\\6\\66", "6\\\\\\\\6\\66", "6\\\\66\\\\\\6", "6\\\\\\\\6\\\\6", "6\\\\\\6\\\\\\6", "666666666"], "shortest_path_length": 6, "start": "W", "goal": "0", "wall": "6", "path": "\\", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from 'W' (start) to '0' (goal):\n\n```\n666666666\n6\\\\\\\\W\\66\n6\\\\\\\\\\\\\\6\n60\\6\\6\\66\n6\\\\\\\\6\\66\n6\\\\66\\\\\\6\n6\\\\\\\\6\\\\6\n6\\\\\\6\\\\\\6\n666666666\n```\nLegend: '6' = Wall, '\\' = Passage\n\nWhat is the minimum number of steps to reach the goal?\nGive only the number of steps as your final answer, no other text or formatting.", "_time": 0.00018978118896484375, "_task": "rg", "_level": 0}
|
Navigate from 'W' (start) to '0' (goal):
```
666666666
6\\\\W\66
6\\\\\\\6
60\6\6\66
6\\\\6\66
6\\66\\\6
6\\\\6\\6
6\\\6\\\6
666666666
```
Legend: '6' = Wall, '\' = Passage
What is the minimum number of steps to reach the goal?
Give only the number of steps as your final answer, no other text or formatting.
|
rg
|
1
|
{"source_dataset": "letter_counting", "source_index": 0, "span_length": 6, "target_letter": "f", "span": ["close", "of", "the", "meal", "phonotelephotic", "communication"], "difficulty": {"words": [5, 15]}, "task_name": "RG.letter_counting", "_question": "How many times does the letter \"f\" appear in the text: \"close of the meal phonotelephotic communication\"?", "_time": 0.0021936893463134766, "_task": "rg", "_level": 0}
|
How many times does the letter "f" appear in the text: "close of the meal phonotelephotic communication"?
|
rg
|
UUUUDRDDRRULULD
|
{"source_dataset": "sokoban", "source_index": 0, "gamestr": "+ + + + + + + \n+ X + + + - + \n+ - + + $ - + \n+ - - - - - + \n+ - @ @ - - + \n+ @ X @ - X + \n+ * X - - - + \n+ + + + + + + \n\n", "width": 7, "height": 8, "difficulty": {"width": [6, 10], "height": [6, 10]}, "task_name": "RG.sokoban", "_question": "You are going to solve a 'sokoban' puzzle.\n\n* - The player\n% - The player on a goal\n@ - A box\nX - A goal\n$ - A box on a goal\n+ - A wall\n- - An empty position\n\nYour solution must be a string of characters, ex: LDURRUDL.\n\nHere is your puzzle:\n+ + + + + + + \n+ X + + + - + \n+ - + + $ - + \n+ - - - - - + \n+ - @ @ - - + \n+ @ X @ - X + \n+ * X - - - + \n+ + + + + + + \n\n", "_time": 0.013744592666625977, "_task": "rg", "_level": 0}
|
You are going to solve a 'sokoban' puzzle.
* - The player
% - The player on a goal
@ - A box
X - A goal
$ - A box on a goal
+ - A wall
- - An empty position
Your solution must be a string of characters, ex: LDURRUDL.
Here is your puzzle:
+ + + + + + +
+ X + + + - +
+ - + + $ - +
+ - - - - - +
+ - @ @ - - +
+ @ X @ - X +
+ * X - - - +
+ + + + + + +
|
rg
|
is unprotected by copyright law in the United States and you are
|
{"source_dataset": "letter_jumble", "source_index": 0, "num_words": 12, "corruption_level": 0.5278626687429141, "scrambled_words": ["si", "uopetndcert", "yb", "coypirght", "lwa", "ni", "eht", "endiUt", "Ssteat", "dna", "uoy", "aer"], "original_words": ["is", "unprotected", "by", "copyright", "law", "in", "the", "United", "States", "and", "you", "are"], "difficulty": {"word_len": [1, 64], "words": [3, 20], "corruption_level": [0.1, 0.9]}, "task_name": "RG.letter_jumble", "_question": "Your task is to unsramble words in a sentence.\n\nFor each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words.\n\nThe order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.).\n\nYour output should be a sentence with the words unscrambled.\n\nNow, unscramble these words: si uopetndcert yb coypirght lwa ni eht endiUt Ssteat dna uoy aer\n", "_time": 0.0028641223907470703, "_task": "rg", "_level": 0}
|
Your task is to unsramble words in a sentence.
For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words.
The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.).
Your output should be a sentence with the words unscrambled.
Now, unscramble these words: si uopetndcert yb coypirght lwa ni eht endiUt Ssteat dna uoy aer
|
rg
|
Move disk 1 from Peg 2 to Peg 4
Move disk 2 from Peg 2 to Peg 3
Move disk 1 from Peg 4 to Peg 3
Move disk 3 from Peg 2 to Peg 1
Move disk 4 from Peg 2 to Peg 4
Move disk 3 from Peg 1 to Peg 4
Move disk 5 from Peg 2 to Peg 1
Move disk 3 from Peg 4 to Peg 2
Move disk 4 from Peg 4 to Peg 1
Move disk 3 from Peg 2 to Peg 1
Move disk 1 from Peg 3 to Peg 4
Move disk 2 from Peg 3 to Peg 1
Move disk 1 from Peg 4 to Peg 1
|
{"source_dataset": "tower_of_hanoi", "source_index": 0, "num_disks": 5, "num_pegs": 4, "start_peg": 2, "target_peg": 1, "auxiliary_pegs": [3, 4], "solution_length": 13, "difficulty": {"num_disks": [3, 7], "num_pegs": [3, 4]}, "task_name": "RG.tower_of_hanoi", "_question": "Solve the Tower of Hanoi problem with 5 disks and 4 pegs.\nMove all disks from Peg 2 to Peg 1 following the rules:\n- Only one disk can be moved at a time.\n- A larger disk cannot be placed on top of a smaller disk.\n- All disks must be on a peg at all times.\n\nProvide the sequence of moves.\n\nFormatting guidelines:\n- Each instruction should be placed on a single line.\n- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'\n- Do not include any other text or formatting.\n", "_time": 0.00014591217041015625, "_task": "rg", "_level": 0}
|
Solve the Tower of Hanoi problem with 5 disks and 4 pegs.
Move all disks from Peg 2 to Peg 1 following the rules:
- Only one disk can be moved at a time.
- A larger disk cannot be placed on top of a smaller disk.
- All disks must be on a peg at all times.
Provide the sequence of moves.
Formatting guidelines:
- Each instruction should be placed on a single line.
- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'
- Do not include any other text or formatting.
|
rg
|
1 3 4 2
β§
3 2 1 < 4
β§
4 1 2 3
β§
2 4 3 1
|
{"source_dataset": "futoshiki", "source_index": 0, "puzzle": [[0, 3, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [2, 4, 0, 0]], "constraints": [[0, 0, 1, 0, "<"], [1, 2, 1, 3, "<"], [1, 2, 2, 2, "<"], [2, 2, 3, 2, "<"]], "solution": [[1, 3, 4, 2], [3, 2, 1, 4], [4, 1, 2, 3], [2, 4, 3, 1]], "board_size": 4, "difficulty_rating": 2, "difficulty": {"board_size": [4, 9], "difficulty": [0, 3]}, "task_name": "RG.futoshiki", "_question": "Solve the following 4x4 Futoshiki puzzle:\n\n_ 3 _ _\n\u2227 \n_ _ _ < _\n \u2227 \n4 _ _ _\n \u2227 \n2 4 _ _\n\nEnsure your answer follows the same format as the puzzle above, just replace blanks (_) with the correct value for the cell.\nUse < and > for horizontal constraints. Use \u2227 and \u2228 for vertical constraints.\nRemember, in Futoshiki each row and column must contain each number from 1 to 4 exactly once.", "_time": 0.0058994293212890625, "_task": "rg", "_level": 0}
|
Solve the following 4x4 Futoshiki puzzle:
_ 3 _ _
β§
_ _ _ < _
β§
4 _ _ _
β§
2 4 _ _
Ensure your answer follows the same format as the puzzle above, just replace blanks (_) with the correct value for the cell.
Use < and > for horizontal constraints. Use β§ and β¨ for vertical constraints.
Remember, in Futoshiki each row and column must contain each number from 1 to 4 exactly once.
|
rg
|
Yes
|
{"source_dataset": "syllogism", "source_index": 0, "premise1": "All lawyers are tigers", "premise2": "No tigers are students", "conclusion": "No lawyers are students", "is_valid": true, "type": "syllogism", "task_name": "RG.syllogism", "_question": "Consider these statements:\n1. All lawyers are tigers\n2. No tigers are students\n\nDoes it logically follow that:\nNo lawyers are students?\n(Answer Yes or No)", "_time": 0.000102996826171875, "_task": "rg", "_level": 0}
|
Consider these statements:
1. All lawyers are tigers
2. No tigers are students
Does it logically follow that:
No lawyers are students?
(Answer Yes or No)
|
rg
|
ββββββββββββββββββββ
βββββ
βββββββββββββββ
βββ
βββββ
β
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|
{"source_dataset": "modulo_grid", "source_index": 0, "divisor": 15, "target": 4, "operation": "pow", "difficulty": {"size_x": 20, "size_y": 20, "holes": 1, "divisor": 20, "target": 20}, "task_name": "RG.modulo_grid", "_question": "Identify the mathematical pattern which defines this grid, then use that pattern to fill in the question marks. Return the entire completed grid as your answer.\n\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u2754\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2705\u2705\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2705\u2705\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2705\u2705\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2705\u2705\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2705\u2705\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705", "_time": 0.0004284381866455078, "_task": "rg", "_level": 0}
|
Identify the mathematical pattern which defines this grid, then use that pattern to fill in the question marks. Return the entire completed grid as your answer.
ββββββββββββββββββββ
βββββ
βββββββββββββββ
βββ
βββββ
β
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ββββββββββββββββββββ
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βββββ
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βββββββββββββββ
ββββββββββββββββββββ
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ββββ
ββ
βββββ
βββββββββββββββ
|
rg
|
['4', '95.16', '28']
|
{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["-59", "4", "-23.6592", "-67.183", "-13.37", "95.16", "-57.28", "28"], "filter_value": "-9.399", "operation": "remove_smaller", "result": ["4", "95.16", "28"], "numbers": 8, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Remove all numbers smaller than -9.399 in this list: ['-59', '4', '-23.6592', '-67.183', '-13.37', '95.16', '-57.28', '28']\nReturn the new list in the same format.", "_time": 0.00013184547424316406, "_task": "rg", "_level": 0}
|
Remove all numbers smaller than -9.399 in this list: ['-59', '4', '-23.6592', '-67.183', '-13.37', '95.16', '-57.28', '28']
Return the new list in the same format.
|
rg
|
37 days, 11:26:00
|
{"source_dataset": "time_intervals", "source_index": 0, "task_type": "datetime", "start_time": "2909-06-19 20:13:00", "end_time": "2909-07-27 07:39:00", "format": "%A, %B %d, %Y at %H:%M", "expected_format": "D days, HH:MM:SS", "difficulty": {"max_time_difference_seconds": 86400, "max_date_difference_days": 100}, "task_name": "RG.time_intervals", "_question": "A flight departed at Wednesday, June 19, 2909 at 20:13 and arrived at Saturday, July 27, 2909 at 07:39. How long was the flight? Answer in D days, HH:MM:SS.", "_time": 0.0003299713134765625, "_task": "rg", "_level": 0}
|
A flight departed at Wednesday, June 19, 2909 at 20:13 and arrived at Saturday, July 27, 2909 at 07:39. How long was the flight? Answer in D days, HH:MM:SS.
|
rg
|
False
|
{"source_dataset": "ransom_note", "source_index": 0, "ransom_note": "hxqbgcz", "magazine": "byhcxqgy", "solution": false, "solvable": false, "note_length": 7, "magazine_length": 8, "difficulty": {"note_length": [1, 10], "magazine_length": [2, 30]}, "task_name": "RG.ransom_note", "_question": "Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.\n\nEach letter in the magazine string can only be used once in your ransom note.\n\nRansom note: hxqbgcz\nMagazine: byhcxqgy\n", "_time": 0.00011563301086425781, "_task": "rg", "_level": 0}
|
Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.
Each letter in the magazine string can only be used once in your ransom note.
Ransom note: hxqbgcz
Magazine: byhcxqgy
|
rg
|
False
|
{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["gzz", "qhd"], "solution": false, "solvable": false, "string_length": 3, "difficulty": {"string_length": [2, 10]}, "task_name": "RG.isomorphic_strings", "_question": "Two strings are isomorphic if the characters in one string can be replaced to get the second string.\n\nAll occurrences of a character must be replaced with another character while preserving the order of characters.\n\nNo two characters may map to the same character, but a character may map to itself.\n\nReturn True if the following two strings are isomorphic, or False otherwise:\ngzz qhd\n", "_time": 0.00010418891906738281, "_task": "rg", "_level": 0}
|
Two strings are isomorphic if the characters in one string can be replaced to get the second string.
All occurrences of a character must be replaced with another character while preserving the order of characters.
No two characters may map to the same character, but a character may map to itself.
Return True if the following two strings are isomorphic, or False otherwise:
gzz qhd
|
rg
|
{"r": 1.836352399064059, "x0": 0.027506847467205442, "steps": 517, "places": 4}
|
{"source_dataset": "codeio", "source_index": 0, "input_data": {"r": 1.836352399064059, "x0": 0.027506847467205442, "steps": 517, "places": 4}, "output_data": {"collisions": 506}, "difficulty": {"difficulty": null}, "task_name": "RG.codeio", "_question": "\nYou are given a question that requires some input and output variables as follows:\n\nGiven a population growth model described by the logistic map equation, where the population ratio at each step is determined by the formula \\( X_{n+1} = rX_n(1-X_n) \\), how many collisions occur when the population ratios are rounded to a specified number of decimal places over a given number of iterations? The growth rate \\( r \\), initial population ratio \\( x0 \\), number of iterations \\( steps \\), and the number of decimal places \\( places \\) are provided.\n\nThe input and output requirements are as follows:\n\nInput:\n `r` (float): The growth rate parameter in the logistic map equation.\n `x0` (float): The initial population ratio.\n `steps` (int): The number of iterations to perform.\n `places` (int): The number of decimal places to round to when checking for collisions.\n\nOutput:\n `return` (dict): A dictionary containing the number of collisions detected during the iterations. The key is `\"collisions\"` and the value is an integer representing the number of collisions.\n\nGiven the following output:\n\n{'collisions': 506}\n\nCan you predict a feasible input without writing any code? Please reason and put your final answer in the form of a JSON object, even if the there is only one input variable, with keys strictly matching the input variables' names as specified.\n\nTip: Here is a reference code snippet for this question. You can refer to this code to guide your reasoning but not copy spans of code directly.\n\n# import necessary packages\nimport numpy as np\n\n# all class and function definitions in the code file, if any\ndef logisticEq(r, x0, steps):\n output = []\n x = x0\n for _ in range(steps):\n output.append(x)\n x = r * x * (1 - x)\n return output\n\ndef logisticEqWithCollisions(r, x0, steps, places):\n collisions = 0\n output = []\n x = x0\n for _ in range(steps):\n rounded = round(x, places)\n if rounded in output:\n collisions += 1\n output.append(rounded)\n x = r * x * (1 - x)\n return collisions\n\n# main function\ndef main_solution(r, x0, steps, places):\n # Convert JSON serializable inputs to the original input variables\n r = float(r)\n x0 = float(x0)\n steps = int(steps)\n places = int(places)\n \n # Calculate the number of collisions using the logisticEqWithCollisions function\n collisions = logisticEqWithCollisions(r, x0, steps, places)\n \n # Return the number of collisions as a JSON serializable output\n return {\"collisions\": collisions}\n", "_time": 0.07982420921325684, "_task": "rg", "_level": 0}
|
You are given a question that requires some input and output variables as follows:
Given a population growth model described by the logistic map equation, where the population ratio at each step is determined by the formula \( X_{n+1} = rX_n(1-X_n) \), how many collisions occur when the population ratios are rounded to a specified number of decimal places over a given number of iterations? The growth rate \( r \), initial population ratio \( x0 \), number of iterations \( steps \), and the number of decimal places \( places \) are provided.
The input and output requirements are as follows:
Input:
`r` (float): The growth rate parameter in the logistic map equation.
`x0` (float): The initial population ratio.
`steps` (int): The number of iterations to perform.
`places` (int): The number of decimal places to round to when checking for collisions.
Output:
`return` (dict): A dictionary containing the number of collisions detected during the iterations. The key is `"collisions"` and the value is an integer representing the number of collisions.
Given the following output:
{'collisions': 506}
Can you predict a feasible input without writing any code? Please reason and put your final answer in the form of a JSON object, even if the there is only one input variable, with keys strictly matching the input variables' names as specified.
Tip: Here is a reference code snippet for this question. You can refer to this code to guide your reasoning but not copy spans of code directly.
# import necessary packages
import numpy as np
# all class and function definitions in the code file, if any
def logisticEq(r, x0, steps):
output = []
x = x0
for _ in range(steps):
output.append(x)
x = r * x * (1 - x)
return output
def logisticEqWithCollisions(r, x0, steps, places):
collisions = 0
output = []
x = x0
for _ in range(steps):
rounded = round(x, places)
if rounded in output:
collisions += 1
output.append(rounded)
x = r * x * (1 - x)
return collisions
# main function
def main_solution(r, x0, steps, places):
# Convert JSON serializable inputs to the original input variables
r = float(r)
x0 = float(x0)
steps = int(steps)
places = int(places)
# Calculate the number of collisions using the logisticEqWithCollisions function
collisions = logisticEqWithCollisions(r, x0, steps, places)
# Return the number of collisions as a JSON serializable output
return {"collisions": collisions}
|
rg
|
2.0 + 16.0i
|
{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-6.0, 8.0], "num2": [8.0, 8.0], "operation": "+", "result": [2, 16], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}, "task_name": "RG.complex_arithmetic", "_question": "Add the complex numbers: (-6.0 + 8.0i) + (8.0 + 8.0i)", "_time": 0.0001201629638671875, "_task": "rg", "_level": 0}
|
Add the complex numbers: (-6.0 + 8.0i) + (8.0 + 8.0i)
|
rg
|
0x2304dcfb0
|
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "((0x6029 - 0x14de) * (0xee22 << 0x3))", "difficulty": {"difficulty": 2}, "task_name": "RG.bitwise_arithmetic", "_question": "Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.\n((0x6029 - 0x14de) * (0xee22 << 0x3))", "_time": 0.0001270771026611328, "_task": "rg", "_level": 0}
|
Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.
((0x6029 - 0x14de) * (0xee22 << 0x3))
|
rg
|
8 1 1 2 5 9 2 3 9 5 0 4 4 2 4 2 3 5 1 5 7 9 5 8 9 7 2 6 0 5 4 9 3 9 4 9 8 4 5 7 8 8 8 5 7 2 7 1 6 3 8 5 1 6 1 6 7 4 4 9 9 6 5 1
|
{"source_dataset": "spiral_matrix", "source_index": 0, "matrix": [[8, 1, 1, 2, 5, 9, 2, 3], [6, 0, 5, 4, 9, 3, 9, 9], [2, 1, 6, 3, 8, 5, 4, 5], [7, 7, 9, 9, 6, 1, 9, 0], [9, 2, 4, 1, 5, 6, 8, 4], [8, 7, 4, 7, 6, 1, 4, 4], [5, 5, 8, 8, 8, 7, 5, 2], [9, 7, 5, 1, 5, 3, 2, 4]], "solution": [8, 1, 1, 2, 5, 9, 2, 3, 9, 5, 0, 4, 4, 2, 4, 2, 3, 5, 1, 5, 7, 9, 5, 8, 9, 7, 2, 6, 0, 5, 4, 9, 3, 9, 4, 9, 8, 4, 5, 7, 8, 8, 8, 5, 7, 2, 7, 1, 6, 3, 8, 5, 1, 6, 1, 6, 7, 4, 4, 9, 9, 6, 5, 1], "n": 8, "difficulty": {"n": [2, 10]}, "task_name": "RG.spiral_matrix", "_question": "Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element.\n\nThe spiral order is clockwise, starting from the top-left corner. More precisely:\n- Start from the top-left corner and move right.\n- Move down towards the bottom-right corner.\n- Move left towards the bottom-left corner.\n- Move up towards the top-right corner.\n- Repeat the steps for the inner elements of the matrix until every entry is visited.\n\nYour output should be a space-separated list of integers, e.g. 1 2 3 4 5 6\n\nFor the matrix below, what is the list of elements in spiral order?\n8 1 1 2 5 9 2 3\n6 0 5 4 9 3 9 9\n2 1 6 3 8 5 4 5\n7 7 9 9 6 1 9 0\n9 2 4 1 5 6 8 4\n8 7 4 7 6 1 4 4\n5 5 8 8 8 7 5 2\n9 7 5 1 5 3 2 4\n", "_time": 0.00018739700317382812, "_task": "rg", "_level": 0}
|
Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element.
The spiral order is clockwise, starting from the top-left corner. More precisely:
- Start from the top-left corner and move right.
- Move down towards the bottom-right corner.
- Move left towards the bottom-left corner.
- Move up towards the top-right corner.
- Repeat the steps for the inner elements of the matrix until every entry is visited.
Your output should be a space-separated list of integers, e.g. 1 2 3 4 5 6
For the matrix below, what is the list of elements in spiral order?
8 1 1 2 5 9 2 3
6 0 5 4 9 3 9 9
2 1 6 3 8 5 4 5
7 7 9 9 6 1 9 0
9 2 4 1 5 6 8 4
8 7 4 7 6 1 4 4
5 5 8 8 8 7 5 2
9 7 5 1 5 3 2 4
|
rg
|
EABCEBEAEBBCEADDBAABA
|
{"source_dataset": "string_insertion", "source_index": 0, "string": "EABCBEAEBBCEADDBAABA", "solution": "EABCEBEAEBBCEADDBAABA", "string_length": 20, "difficulty": {"string_length": [5, 20]}, "task_name": "RG.string_insertion", "_question": "Given a string consisting of characters A, B, C, D, and E, your job is to insert a character according to the following pattern:\n1. If there is a substring ABCD in the string, insert the character A after the substring.\n2. If there is a substring BCDE in the string, insert the character B after the substring.\n3. If there is a substring CDEA in the string, insert the character C after the substring.\n4. If there is a substring DEAB in the string, insert the character D after the substring.\n5. If there is a substring EABC in the string, insert the character E after the substring.\n\nOnce you have inserted a character, you have to skip over the substring and the inserted character and continue the search from the next character.\n\nYour output should be a string that has been modified according to the pattern.\n\nGiven the following string, provide the answer after inserting the characters according to the pattern: EABCBEAEBBCEADDBAABA\n", "_time": 0.00012302398681640625, "_task": "rg", "_level": 0}
|
Given a string consisting of characters A, B, C, D, and E, your job is to insert a character according to the following pattern:
1. If there is a substring ABCD in the string, insert the character A after the substring.
2. If there is a substring BCDE in the string, insert the character B after the substring.
3. If there is a substring CDEA in the string, insert the character C after the substring.
4. If there is a substring DEAB in the string, insert the character D after the substring.
5. If there is a substring EABC in the string, insert the character E after the substring.
Once you have inserted a character, you have to skip over the substring and the inserted character and continue the search from the next character.
Your output should be a string that has been modified according to the pattern.
Given the following string, provide the answer after inserting the characters according to the pattern: EABCBEAEBBCEADDBAABA
|
rg
|
8
|
{"source_dataset": "maze", "source_index": 0, "grid_size": 9, "grid": ["fffffffff", "fXXfXffff", "fXXfXXfff", "fXfXfXfXf", "fXfXXfXXf", "fXfXXXXXf", "ffXXfXXXf", "fXfXcfnXf", "fffffffff"], "shortest_path_length": 8, "start": "n", "goal": "c", "wall": "f", "path": "X", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from 'n' (start) to 'c' (goal):\n\n```\nfffffffff\nfXXfXffff\nfXXfXXfff\nfXfXfXfXf\nfXfXXfXXf\nfXfXXXXXf\nffXXfXXXf\nfXfXcfnXf\nfffffffff\n```\nLegend: 'f' = Wall, 'X' = Passage\n\nWhat is the minimum number of steps to reach the goal?\nGive only the number of steps as your final answer, no other text or formatting.", "_time": 0.00020313262939453125, "_task": "rg", "_level": 0}
|
Navigate from 'n' (start) to 'c' (goal):
```
fffffffff
fXXfXffff
fXXfXXfff
fXfXfXfXf
fXfXXfXXf
fXfXXXXXf
ffXXfXXXf
fXfXcfnXf
fffffffff
```
Legend: 'f' = Wall, 'X' = Passage
What is the minimum number of steps to reach the goal?
Give only the number of steps as your final answer, no other text or formatting.
|
rg
|
-0x20d287d0
|
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "(0xf4b0 * (0x2157 - 0x43ae))", "difficulty": {"difficulty": 2}, "task_name": "RG.bitwise_arithmetic", "_question": "Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.\n(0xf4b0 * (0x2157 - 0x43ae))", "_time": 0.00011110305786132812, "_task": "rg", "_level": 0}
|
Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.
(0xf4b0 * (0x2157 - 0x43ae))
|
rg
|
[89, 12]
|
{"source_dataset": "list_functions", "source_index": 0, "task_name": "RG.list_functions", "_question": "You are an expert at inductive reasoning. Generate an output corresponding to the given input.\nThe output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements\nExamples:\nInput 1: [25, 90, 27, 24, 42, 79, 44, 22]\nOutput 1: [25, 27, 24, 79, 44]\nInput 2: [63, 56, 5, 63, 92, 63, 94, 22, 11, 62]\nOutput 2: [63, 63, 63, 94, 11]\nInput 3: [51, 20, 65, 61, 42, 51, 21, 39]\nOutput 3: [51, 61]\nInput 4: [50, 57, 10, 45, 70, 72, 40]\nOutput 4: [57, 45, 70, 72]\n\n\nInput: [89, 12, 34]\nOutput:\n", "_time": 0.00014328956604003906, "_task": "rg", "_level": 0}
|
You are an expert at inductive reasoning. Generate an output corresponding to the given input.
The output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements
Examples:
Input 1: [25, 90, 27, 24, 42, 79, 44, 22]
Output 1: [25, 27, 24, 79, 44]
Input 2: [63, 56, 5, 63, 92, 63, 94, 22, 11, 62]
Output 2: [63, 63, 63, 94, 11]
Input 3: [51, 20, 65, 61, 42, 51, 21, 39]
Output 3: [51, 61]
Input 4: [50, 57, 10, 45, 70, 72, 40]
Output 4: [57, 45, 70, 72]
Input: [89, 12, 34]
Output:
|
rg
|
['-52.43']
|
{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["88.44", "-52.43", "88", "-5.60", "97.7", "94", "60.53", "46"], "filter_value": "-30.492", "operation": "keep_smaller", "result": ["-52.43"], "numbers": 8, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Keep all numbers smaller than -30.492 in this list: ['88.44', '-52.43', '88', '-5.60', '97.7', '94', '60.53', '46']\nReturn the new list in the same format.", "_time": 0.00011610984802246094, "_task": "rg", "_level": 0}
|
Keep all numbers smaller than -30.492 in this list: ['88.44', '-52.43', '88', '-5.60', '97.7', '94', '60.53', '46']
Return the new list in the same format.
|
rg
|
13
|
{"task": "count_days", "year": 2022, "start_date": "2022-04-09", "end_date": "2022-07-07", "source_dataset": "calendar_arithmetic", "source_index": 0, "difficulty": {"tasks": ["weekday_offset", "weekday_of_date", "weekday_of_date_from_first_date", "recurring_event_day", "count_days", "count_business_days", "is_leap_year"], "offset_upper_bound": 100}, "task_name": "RG.calendar_arithmetic", "_question": "How many Sundays are there from Saturday, April 9, 2022 to Thursday, July 7, 2022 (inclusive of both dates)? Give the count numerically.", "_time": 0.0003476142883300781, "_task": "rg", "_level": 0}
|
How many Sundays are there from Saturday, April 9, 2022 to Thursday, July 7, 2022 (inclusive of both dates)? Give the count numerically.
|
rg
|
1425
|
{"source_dataset": "lcm", "source_index": 0, "numbers": [95, 75], "result": 1425, "difficulty": {"numbers": [2, 2], "value": [1, 100]}, "task_name": "RG.lcm", "_question": "Find the Least Common Multiple (LCM) of these numbers: 95, 75", "_time": 9.059906005859375e-05, "_task": "rg", "_level": 0}
|
Find the Least Common Multiple (LCM) of these numbers: 95, 75
|
rg
|
49166*y**9 - 87792*y**8 + 38440*y**7 + 57096*y**6 - 101952*y**5 + 44640*y**4
|
{"source_dataset": "polynomial_multiplication", "source_index": 0, "polynomial_expr": "(26*y**3 - 20*y**2)*(31*y**3 + 36)*(61*y**3 - 62*y**2)", "variables": ["y"], "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "min_degree": 0, "max_degree": 3, "min_polynomials": 2, "max_polynomials": 3}, "task_name": "RG.polynomial_multiplication", "_question": "Simplify this expression: (26*y**3 - 20*y**2)*(31*y**3 + 36)*(61*y**3 - 62*y**2)\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.005085945129394531, "_task": "rg", "_level": 0}
|
Simplify this expression: (26*y**3 - 20*y**2)*(31*y**3 + 36)*(61*y**3 - 62*y**2)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.
|
rg
|
11
|
{"source_dataset": "simple_equations", "source_index": 0, "equation": "152 - 19*f = -57", "variable": "f", "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]}, "task_name": "RG.simple_equations", "_question": "Find the value of f in the equation: 152 - 19*f = -57", "_time": 0.0005867481231689453, "_task": "rg", "_level": 0}
|
Find the value of f in the equation: 152 - 19*f = -57
|
rg
|
RRLLDRDULD
|
{"source_dataset": "sokoban", "source_index": 0, "gamestr": "+ + + + + + \n+ * @ - X + \n+ @ @ X + + \n+ - @ + + + \n+ X X + + + \n+ + + + + + \n\n", "width": 6, "height": 6, "difficulty": {"width": [6, 10], "height": [6, 10]}, "task_name": "RG.sokoban", "_question": "You are going to solve a 'sokoban' puzzle.\n\n* - The player\n% - The player on a goal\n@ - A box\nX - A goal\n$ - A box on a goal\n+ - A wall\n- - An empty position\n\nYour solution must be a string of characters, ex: LDURRUDL.\n\nHere is your puzzle:\n+ + + + + + \n+ * @ - X + \n+ @ @ X + + \n+ - @ + + + \n+ X X + + + \n+ + + + + + \n\n", "_time": 0.001466989517211914, "_task": "rg", "_level": 0}
|
You are going to solve a 'sokoban' puzzle.
* - The player
% - The player on a goal
@ - A box
X - A goal
$ - A box on a goal
+ - A wall
- - An empty position
Your solution must be a string of characters, ex: LDURRUDL.
Here is your puzzle:
+ + + + + +
+ * @ - X +
+ @ @ X + +
+ - @ + + +
+ X X + + +
+ + + + + +
|
rg
|
["fill A", "pour A->B", "empty B", "pour A->B", "empty B", "pour A->B", "fill A", "pour A->B", "empty B", "pour A->B", "empty B", "pour A->B", "fill A", "pour A->B"]
|
{"source_dataset": "jugs", "source_index": 0, "puzzle": {"jug_capacities": [11, 5, 11], "target": 8, "min_moves": 14}, "difficulty": {"num_jugs": 3, "difficulty": 10}, "task_name": "RG.jugs", "_question": "You are a police officer. A maniac has planted a bomb next to a public fountain.\n\nTo defuse the bomb, you must solve a puzzle. The puzzle is solved when you fill any of the available jugs with the target amount of water.\n\nYou have three move types: 'fill', 'empty' and 'pour'.\n\nTo fill Jug A, you 'fill A'.\nTo empty Jug B, you 'empty B'.\nTo pour the contents of Jug A into Jug B, you 'pour A->B'.\nAll jugs are empty to begin with.\n\nThe empty jugs hold this many litres of water: A:11, B:5, C:11\nAnd your target is: 8 litres.\n\nHow do you defuse the bomb?\n\nReply as a JSON-parsable list of moves which result in any of the jugs being filled with the target amount.\n", "_time": 0.002676725387573242, "_task": "rg", "_level": 0}
|
You are a police officer. A maniac has planted a bomb next to a public fountain.
To defuse the bomb, you must solve a puzzle. The puzzle is solved when you fill any of the available jugs with the target amount of water.
You have three move types: 'fill', 'empty' and 'pour'.
To fill Jug A, you 'fill A'.
To empty Jug B, you 'empty B'.
To pour the contents of Jug A into Jug B, you 'pour A->B'.
All jugs are empty to begin with.
The empty jugs hold this many litres of water: A:11, B:5, C:11
And your target is: 8 litres.
How do you defuse the bomb?
Reply as a JSON-parsable list of moves which result in any of the jugs being filled with the target amount.
|
rg
|
Move disk 1 from Peg 4 to Peg 2
Move disk 2 from Peg 4 to Peg 3
Move disk 3 from Peg 4 to Peg 1
Move disk 2 from Peg 3 to Peg 1
Move disk 1 from Peg 2 to Peg 1
Move disk 4 from Peg 4 to Peg 2
Move disk 5 from Peg 4 to Peg 3
Move disk 4 from Peg 2 to Peg 3
Move disk 6 from Peg 4 to Peg 2
Move disk 4 from Peg 3 to Peg 4
Move disk 5 from Peg 3 to Peg 2
Move disk 4 from Peg 4 to Peg 2
Move disk 7 from Peg 4 to Peg 3
Move disk 4 from Peg 2 to Peg 3
Move disk 5 from Peg 2 to Peg 4
Move disk 4 from Peg 3 to Peg 4
Move disk 6 from Peg 2 to Peg 3
Move disk 4 from Peg 4 to Peg 2
Move disk 5 from Peg 4 to Peg 3
Move disk 4 from Peg 2 to Peg 3
Move disk 1 from Peg 1 to Peg 2
Move disk 2 from Peg 1 to Peg 4
Move disk 3 from Peg 1 to Peg 3
Move disk 2 from Peg 4 to Peg 3
Move disk 1 from Peg 2 to Peg 3
|
{"source_dataset": "tower_of_hanoi", "source_index": 0, "num_disks": 7, "num_pegs": 4, "start_peg": 4, "target_peg": 3, "auxiliary_pegs": [1, 2], "solution_length": 25, "difficulty": {"num_disks": [3, 7], "num_pegs": [3, 4]}, "task_name": "RG.tower_of_hanoi", "_question": "Solve the Tower of Hanoi problem with 7 disks and 4 pegs.\nMove all disks from Peg 4 to Peg 3 following the rules:\n- Only one disk can be moved at a time.\n- A larger disk cannot be placed on top of a smaller disk.\n- All disks must be on a peg at all times.\n\nProvide the sequence of moves.\n\nFormatting guidelines:\n- Each instruction should be placed on a single line.\n- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'\n- Do not include any other text or formatting.\n", "_time": 0.00014400482177734375, "_task": "rg", "_level": 0}
|
Solve the Tower of Hanoi problem with 7 disks and 4 pegs.
Move all disks from Peg 4 to Peg 3 following the rules:
- Only one disk can be moved at a time.
- A larger disk cannot be placed on top of a smaller disk.
- All disks must be on a peg at all times.
Provide the sequence of moves.
Formatting guidelines:
- Each instruction should be placed on a single line.
- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'
- Do not include any other text or formatting.
|
rg
|
['-74.0', '-39.7', '6.0', '13.0', '52.0', '62.93', '86.6', '88.0', '88.02']
|
{"source_dataset": "number_sorting", "source_index": 0, "original_numbers": ["6.0", "86.6", "52.0", "88.0", "62.93", "-74.0", "-39.7", "88.02", "13.0"], "direction": "ascending", "sorted_numbers": ["-74.0", "-39.7", "6.0", "13.0", "52.0", "62.93", "86.6", "88.0", "88.02"], "numbers": 9, "difficulty": {"numbers": [3, 10], "decimals": [0, 2], "value": [-100.0, 100.0]}, "task_name": "RG.number_sorting", "_question": "Sort these numbers in ascending order: 6.0, 86.6, 52.0, 88.0, 62.93, -74.0, -39.7, 88.02, 13.0\nPlease follow the instruction below:\n## 1. Let all your answers be a list of numbers. Instead of reporting your answer as -69, -13, 1, 7, 11, 43, 59, 61, use ['-69', '-13', '1', '7', '11', '43', '59', '61'] instead\n## 2. Convert all numbers in the square brackets as strings. For example, ['-69', '-13', '1', '7', '11', '43', '59', '61']\n", "_time": 0.0001983642578125, "_task": "rg", "_level": 0}
|
Sort these numbers in ascending order: 6.0, 86.6, 52.0, 88.0, 62.93, -74.0, -39.7, 88.02, 13.0
Please follow the instruction below:
## 1. Let all your answers be a list of numbers. Instead of reporting your answer as -69, -13, 1, 7, 11, 43, 59, 61, use ['-69', '-13', '1', '7', '11', '43', '59', '61'] instead
## 2. Convert all numbers in the square brackets as strings. For example, ['-69', '-13', '1', '7', '11', '43', '59', '61']
|
rg
|
-24
|
{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "-4 * 4 - 8", "num_terms": 3, "num_digits": 1, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate -4 * 4 - 8.", "_time": 0.0001246929168701172, "_task": "rg", "_level": 0}
|
Calculate -4 * 4 - 8.
|
rg
|
elena
|
{"source_dataset": "spell_backward", "source_index": 0, "word": "anele", "word_len": 5, "difficulty": {"word_len": [3, 10]}, "task_name": "RG.spell_backward", "_question": "Spell this word backward (example: sun -> nus): anele", "_time": 0.024831295013427734, "_task": "rg", "_level": 0}
|
Spell this word backward (example: sun -> nus): anele
|
rg
|
True
|
{"source_dataset": "ransom_note", "source_index": 0, "ransom_note": "nh", "magazine": "qhkpncxm", "solution": true, "solvable": true, "note_length": 2, "magazine_length": 8, "difficulty": {"note_length": [1, 10], "magazine_length": [2, 30]}, "task_name": "RG.ransom_note", "_question": "Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.\n\nEach letter in the magazine string can only be used once in your ransom note.\n\nRansom note: nh\nMagazine: qhkpncxm\n", "_time": 0.00010991096496582031, "_task": "rg", "_level": 0}
|
Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.
Each letter in the magazine string can only be used once in your ransom note.
Ransom note: nh
Magazine: qhkpncxm
|
rg
|
8 8 0 0
8 3 3 0
4 3 3 9
4 4 9 9
|
{"source_dataset": "rearc", "source_index": 0, "input": [[3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 3, 3, 3], [3, 8, 8, 0, 3, 3, 3, 3], [3, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 9, 3, 4, 3, 3], [3, 3, 9, 9, 3, 4, 4, 3]], "output": [[8, 8, 0, 0], [8, 3, 3, 0], [4, 3, 3, 9], [4, 4, 9, 9]], "task_id": "a61ba2ce", "rng": 0.007211165068657002, "pso": 0.24658564814814812, "difficulty": {"rng_difficulty_weights": [0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285], "pso_difficulty_weights": [0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285, 0.14285714285714285]}, "task_name": "RG.rearc", "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 4 4 9 9 9 9 9 9 9 9 9\n9 9 9 9 4 9 9 9 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 9 9 9 9 7 7 9\n9 9 9 9 9 9 9 9 9 1 1 1 1 9 9\n3 9 9 9 9 9 9 9 9 9 9 9 1 9 9\n3 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n3 3 3 3 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n4 4 1 1 1 1\n4 9 9 9 9 1\n3 9 9 9 9 7\n3 9 9 9 9 7\n3 3 3 3 7 7\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 9 9 9 8 8 8 8 7 7 7 8\n8 8 8 9 8 8 8 8 8 8 8 8 7 8\n8 8 8 9 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 5 8 8 8 8 8 8 8\n8 8 8 8 8 8 5 5 5 5 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n9 9 9 7 7 7\n9 8 8 8 8 7\n9 8 8 8 8 4\n5 8 8 8 8 4\n5 5 5 5 4 4\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 6 6 5 5 5 5 5 5 5 5\n5 5 6 5 5 7 7 7 5 5 5 5\n5 5 6 5 5 5 5 7 5 5 5 5\n5 5 6 5 5 5 5 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 3 5 5 5 4 5 5\n5 5 5 5 5 3 5 5 5 4 4 4\n5 5 5 5 3 3 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n6 6 7 7 7\n6 5 5 5 7\n6 5 5 5 7\n6 5 5 5 3\n4 5 5 5 3\n4 4 4 3 3\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 3 3 3\n9 9 9 9 9 9 9 9 9 9 9 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 9 9 9 9 9\n9 9 9 9 9 9 5 9 9 6 9 9 9\n9 9 9 9 9 9 5 9 9 6 9 9 9\n9 9 9 9 1 9 9 9 6 6 9 9 9\n9 9 9 9 1 1 1 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n5 5 3 3 3\n5 9 9 9 3\n5 9 9 9 6\n1 9 9 9 6\n1 1 1 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 0 0 3 3 3 3\n3 8 8 0 3 3 3 3\n3 8 3 3 3 3 3 3\n3 3 3 3 3 3 3 3\n3 3 3 9 3 4 3 3\n3 3 9 9 3 4 4 3\n", "_time": 0.00471949577331543, "_task": "rg", "_level": 0}
|
Find the common rule that maps an input grid to an output grid, given the examples below.
Example 1:
Input:
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 4 4 9 9 9 9 9 9 9 9 9
9 9 9 9 4 9 9 9 9 9 9 9 9 7 9
9 9 9 9 9 9 9 9 9 9 9 9 9 7 9
9 9 9 9 9 9 9 9 9 9 9 9 7 7 9
9 9 9 9 9 9 9 9 9 1 1 1 1 9 9
3 9 9 9 9 9 9 9 9 9 9 9 1 9 9
3 9 9 9 9 9 9 9 9 9 9 9 9 9 9
3 3 3 3 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
Output:
4 4 1 1 1 1
4 9 9 9 9 1
3 9 9 9 9 7
3 9 9 9 9 7
3 3 3 3 7 7
Example 2:
Input:
8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 8 8 9 9 9 8 8 8 8 7 7 7 8
8 8 8 9 8 8 8 8 8 8 8 8 7 8
8 8 8 9 8 8 8 8 8 8 8 8 8 8
8 8 8 8 8 8 5 8 8 8 8 8 8 8
8 8 8 8 8 8 5 5 5 5 8 8 8 8
8 8 8 8 8 8 8 8 8 8 8 8 8 4
8 8 8 8 8 8 8 8 8 8 8 8 8 4
8 8 8 8 8 8 8 8 8 8 8 8 4 4
8 8 8 8 8 8 8 8 8 8 8 8 8 8
8 8 8 8 8 8 8 8 8 8 8 8 8 8
Output:
9 9 9 7 7 7
9 8 8 8 8 7
9 8 8 8 8 4
5 8 8 8 8 4
5 5 5 5 4 4
Example 3:
Input:
5 5 5 5 5 5 5 5 5 5 5 5
5 5 6 6 5 5 5 5 5 5 5 5
5 5 6 5 5 7 7 7 5 5 5 5
5 5 6 5 5 5 5 7 5 5 5 5
5 5 6 5 5 5 5 7 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 3 5 5 5 4 5 5
5 5 5 5 5 3 5 5 5 4 4 4
5 5 5 5 3 3 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5 5 5 5 5
Output:
6 6 7 7 7
6 5 5 5 7
6 5 5 5 7
6 5 5 5 3
4 5 5 5 3
4 4 4 3 3
Example 4:
Input:
9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 3 3 3
9 9 9 9 9 9 9 9 9 9 9 9 3
9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 5 5 9 9 9 9 9
9 9 9 9 9 9 5 9 9 6 9 9 9
9 9 9 9 9 9 5 9 9 6 9 9 9
9 9 9 9 1 9 9 9 6 6 9 9 9
9 9 9 9 1 1 1 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9
Output:
5 5 3 3 3
5 9 9 9 3
5 9 9 9 6
1 9 9 9 6
1 1 1 6 6
Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Your final answer should just be the text output grid itself.
Input:
3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3
3 3 0 0 3 3 3 3
3 8 8 0 3 3 3 3
3 8 3 3 3 3 3 3
3 3 3 3 3 3 3 3
3 3 3 9 3 4 3 3
3 3 9 9 3 4 4 3
|
rg
|
131
|
{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "81 - -36 + 14", "num_terms": 3, "num_digits": 2, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate 81 - -36 + 14.", "_time": 0.00011277198791503906, "_task": "rg", "_level": 0}
|
Calculate 81 - -36 + 14.
|
rg
|
14
|
{"source_dataset": "largest_island", "source_index": 0, "grid": [[0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0]], "solution": 14, "difficulty": {"rows": [5, 10], "cols": [5, 10], "num_islands": [0, 5], "island_size": [0, 10]}, "task_name": "RG.largest_island", "_question": "You are given the following 6 x 8 binary matrix grid:\n0 0 1 0 0 0 0 0\n0 0 1 1 1 1 1 1\n0 0 0 0 0 1 0 1\n0 0 0 0 0 1 1 1\n0 0 0 0 0 0 1 1\n0 0 0 0 0 0 0 0\n\nAn island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical).\nYou may assume all four edges of the grid are surrounded by water.\n\nThe area of an island is the number of cells with a value 1 in the island.\n\nReturn the maximum area of an island in grid. If there is no island, return 0.\n", "_time": 0.00015473365783691406, "_task": "rg", "_level": 0}
|
You are given the following 6 x 8 binary matrix grid:
0 0 1 0 0 0 0 0
0 0 1 1 1 1 1 1
0 0 0 0 0 1 0 1
0 0 0 0 0 1 1 1
0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 0
An island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical).
You may assume all four edges of the grid are surrounded by water.
The area of an island is the number of cells with a value 1 in the island.
Return the maximum area of an island in grid. If there is no island, return 0.
|
rg
|
324
|
{"source_dataset": "leg_counting", "source_index": 0, "animals": {"cat": 6, "scorpion": 4, "crab": 10, "wasp": 1, "sea slug": 8, "firefly": 3, "lion": 10, "cricket": 4, "cow": 13, "elephant": 7}, "num_animals": 10, "total_legs": 324, "difficulty": {"num_animals": [3, 10], "num_instances": [1, 15]}, "task_name": "RG.leg_counting", "_question": "Your task is to count how many legs there are in total when given a list of animals.\n\nNow, how many legs are there in total if you have 6 cats, 4 scorpions, 10 crabs, 1 wasp, 8 sea slugs, 3 fireflys, 10 lions, 4 crickets, 13 cows, 7 elephants?\n", "_time": 0.0001327991485595703, "_task": "rg", "_level": 0}
|
Your task is to count how many legs there are in total when given a list of animals.
Now, how many legs are there in total if you have 6 cats, 4 scorpions, 10 crabs, 1 wasp, 8 sea slugs, 3 fireflys, 10 lions, 4 crickets, 13 cows, 7 elephants?
|
rg
|
x**9/3 + x**7 + C
|
{"source_dataset": "simple_integration", "source_index": 0, "integrand": "3*x**8 + 7*x**6", "variable": "x", "num_terms": 2, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Calculate the antiderivative: \u222b 3*x**8 + 7*x**6 dx\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.0026161670684814453, "_task": "rg", "_level": 0}
|
Calculate the antiderivative: β« 3*x**8 + 7*x**6 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.
|
rg
|
1 2 2 1 0 1
0 1 1 2 1 2
1 1 0 1 0 1
0 1 0 1 1 0
1 1 0 1 1 1
2 1 0 1 0 1
|
{"source_dataset": "binary_matrix", "source_index": 0, "matrix": [[1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1]], "solution": [[1, 2, 2, 1, 0, 1], [0, 1, 1, 2, 1, 2], [1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1], [2, 1, 0, 1, 0, 1]], "n": 6, "difficulty": {"n": [3, 10], "p_zero": 0.25}, "task_name": "RG.binary_matrix", "_question": "Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.\n\nThe output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.\n\nFind the distance to the nearest 0 for each cell in the matrix below:\n1 1 1 1 0 1\n0 1 1 1 1 1\n1 1 0 1 0 1\n0 1 0 1 1 0\n1 1 0 1 1 1\n1 1 0 1 0 1\n", "_time": 0.00017380714416503906, "_task": "rg", "_level": 0}
|
Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.
The output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.
Find the distance to the nearest 0 for each cell in the matrix below:
1 1 1 1 0 1
0 1 1 1 1 1
1 1 0 1 0 1
0 1 0 1 1 0
1 1 0 1 1 1
1 1 0 1 0 1
|
rg
|
9 4 6 1 8 2 3 5 7
2 7 1 3 5 9 8 4 6
5 3 8 4 6 7 2 9 1
3 6 7 2 4 5 1 8 9
4 9 2 8 7 1 5 6 3
8 1 5 6 9 3 4 7 2
1 8 4 7 3 6 9 2 5
6 5 3 9 2 4 7 1 8
7 2 9 5 1 8 6 3 4
|
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[9, 4, 6, 0, 8, 0, 0, 0, 7], [2, 0, 0, 3, 5, 9, 0, 4, 0], [5, 0, 8, 4, 6, 7, 2, 9, 1], [3, 6, 0, 2, 4, 5, 1, 8, 9], [0, 0, 2, 8, 0, 0, 0, 0, 3], [8, 0, 5, 6, 9, 3, 0, 7, 2], [0, 8, 0, 7, 0, 0, 9, 2, 5], [6, 5, 3, 9, 0, 0, 0, 1, 0], [0, 0, 9, 5, 1, 8, 6, 0, 0]], "solution": [[9, 4, 6, 1, 8, 2, 3, 5, 7], [2, 7, 1, 3, 5, 9, 8, 4, 6], [5, 3, 8, 4, 6, 7, 2, 9, 1], [3, 6, 7, 2, 4, 5, 1, 8, 9], [4, 9, 2, 8, 7, 1, 5, 6, 3], [8, 1, 5, 6, 9, 3, 4, 7, 2], [1, 8, 4, 7, 3, 6, 9, 2, 5], [6, 5, 3, 9, 2, 4, 7, 1, 8], [7, 2, 9, 5, 1, 8, 6, 3, 4]], "num_empty": 30, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n9 4 6 _ 8 _ _ _ 7\n2 _ _ 3 5 9 _ 4 _\n5 _ 8 4 6 7 2 9 1\n3 6 _ 2 4 5 1 8 9\n_ _ 2 8 _ _ _ _ 3\n8 _ 5 6 9 3 _ 7 2\n_ 8 _ 7 _ _ 9 2 5\n6 5 3 9 _ _ _ 1 _\n_ _ 9 5 1 8 6 _ _\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.004891395568847656, "_task": "rg", "_level": 0}
|
Solve this Sudoku puzzle:
9 4 6 _ 8 _ _ _ 7
2 _ _ 3 5 9 _ 4 _
5 _ 8 4 6 7 2 9 1
3 6 _ 2 4 5 1 8 9
_ _ 2 8 _ _ _ _ 3
8 _ 5 6 9 3 _ 7 2
_ 8 _ 7 _ _ 9 2 5
6 5 3 9 _ _ _ 1 _
_ _ 9 5 1 8 6 _ _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
|
rg
|
0.719
|
{"A": ["-8", "-5"], "B": ["-8", "-3"], "C": ["-4", "-6"], "incircle_radius_exact": "sqrt(-3/2 + sqrt(17)/2)*sqrt(3/2 + sqrt(17)/2)*sqrt(7/2 - sqrt(17)/2)/sqrt(sqrt(17)/2 + 7/2)", "incircle_radius_approx": 0.7192235935955849, "source_dataset": "advanced_geometry", "source_index": 0, "task_type": "incircle_radius", "difficulty": {"min_coord": -10, "max_coord": 10}, "task_name": "RG.advanced_geometry", "_question": "Find the incircle radius of triangle ABC whose vertices are A=(-8, -5), B=(-8, -3), and C=(-4, -6). For all geometry problems:\n1. Give coordinates in the form (x, y)\n2. Round decimal answers to 3 decimal places\n3. Use the degree symbol \u00b0 for angles\n4. Return only the angle, coordinates, or radius as your answer.\n", "_time": 0.0044460296630859375, "_task": "rg", "_level": 0}
|
Find the incircle radius of triangle ABC whose vertices are A=(-8, -5), B=(-8, -3), and C=(-4, -6). For all geometry problems:
1. Give coordinates in the form (x, y)
2. Round decimal answers to 3 decimal places
3. Use the degree symbol Β° for angles
4. Return only the angle, coordinates, or radius as your answer.
|
rg
|
UUULDLDLRURUULLLDDRRRUULDULLDDRRDDRRULULLDR
|
{"source_dataset": "sokoban", "source_index": 0, "gamestr": "+ + + + + + + \n+ - - - - - + \n+ - $ @ X - + \n+ - @ - - X + \n+ X @ - $ - + \n+ + + - - * + \n+ + + + + + + \n\n", "width": 7, "height": 7, "difficulty": {"width": [6, 10], "height": [6, 10]}, "task_name": "RG.sokoban", "_question": "You are going to solve a 'sokoban' puzzle.\n\n* - The player\n% - The player on a goal\n@ - A box\nX - A goal\n$ - A box on a goal\n+ - A wall\n- - An empty position\n\nYour solution must be a string of characters, ex: LDURRUDL.\n\nHere is your puzzle:\n+ + + + + + + \n+ - - - - - + \n+ - $ @ X - + \n+ - @ - - X + \n+ X @ - $ - + \n+ + + - - * + \n+ + + + + + + \n\n", "_time": 0.011345148086547852, "_task": "rg", "_level": 0}
|
You are going to solve a 'sokoban' puzzle.
* - The player
% - The player on a goal
@ - A box
X - A goal
$ - A box on a goal
+ - A wall
- - An empty position
Your solution must be a string of characters, ex: LDURRUDL.
Here is your puzzle:
+ + + + + + +
+ - - - - - +
+ - $ @ X - +
+ - @ - - X +
+ X @ - $ - +
+ + + - - * +
+ + + + + + +
|
rg
|
OPATA
|
{"source_dataset": "figlet_font", "source_index": 0, "font": "thick", "space_letters": true, "difficulty": {"word_len": [3, 7]}, "task_name": "RG.figlet_font", "_question": "What word does this say?\n\n.d88b. 888b. db 88888 db \n8P Y8 8 .8 dPYb 8 dPYb \n8b d8 8wwP' dPwwYb 8 dPwwYb \n`Y88P' 8 dP Yb 8 dP Yb \n \n", "_time": 0.15369868278503418, "_task": "rg", "_level": 0}
|
What word does this say?
.d88b. 888b. db 88888 db
8P Y8 8 .8 dPYb 8 dPYb
8b d8 8wwP' dPwwYb 8 dPwwYb
`Y88P' 8 dP Yb 8 dP Yb
|
rg
|
97 - 15 + 31 + 21
|
{"source_dataset": "countdown", "source_index": 0, "numbers": [21, 15, 31, 97], "target": 134, "expression": "97 - 15 + 31 + 21", "difficulty": {"numbers": [4, 6], "target": [100, 999], "value": [1, 100]}, "task_name": "RG.countdown", "_question": "Calculate 134 using all of these numbers: 21, 15, 31, 97.\nEach number may be used at most once.\n\nFinal answer format instructions:\n1. Provide your solution as a arithmetic expression (no '=' sign).\n2. Do not include the target number in the expression.\n3. Use '*' for multiplication.\n4. Use '/' for division.\n5. Do not include any other text or formatting.\n", "_time": 0.01553034782409668, "_task": "rg", "_level": 0}
|
Calculate 134 using all of these numbers: 21, 15, 31, 97.
Each number may be used at most once.
Final answer format instructions:
1. Provide your solution as a arithmetic expression (no '=' sign).
2. Do not include the target number in the expression.
3. Use '*' for multiplication.
4. Use '/' for division.
5. Do not include any other text or formatting.
|
rg
|
[[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]
|
{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,0,0,0,0,0,0,0,0],\n [1,0,0,0,0,1,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,1,0,0,0,0,0],\n [0,0,0,0,0,0,0,1,1,1],\n [0,0,0,0,0,0,0,0,0,0],\n [1,0,1,0,0,0,0,1,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [1,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0]].", "_time": 0.0066585540771484375, "_task": "rg", "_level": 0}
|
What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])
[[0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,1,1,1],
[0,0,0,0,0,0,0,0,0,0],
[1,0,1,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0]].
|
rg
|
11 Γ 19
|
{"source_dataset": "prime_factorization", "source_index": 0, "number": 209, "factors": [11, 19], "difficulty": {"value": [2, 1000]}, "task_name": "RG.prime_factorization", "_question": "Find the prime factorization of 209. Write the factors separated by \u00d7 (Example: for 12 the answer would be: 2 \u00d7 2 \u00d7 3)", "_time": 8.368492126464844e-05, "_task": "rg", "_level": 0}
|
Find the prime factorization of 209. Write the factors separated by Γ (Example: for 12 the answer would be: 2 Γ 2 Γ 3)
|
rg
|
None
|
{"source_dataset": "boxnet", "source_index": 0, "row_num": 2, "column_num": 2, "initial_state": {"0.5_0.5": ["box_blue"], "0.5_1.5": ["target_blue", "target_green"], "1.5_0.5": ["box_red", "box_green"], "1.5_1.5": ["target_red"]}, "difficulty": {"row_num": [1, 4], "column_num": [2, 4], "box_num": [1, 1]}, "task_name": "RG.boxnet", "_question": "\nYou are a central planner tasked with directing agents in a grid-like field to move colored boxes to their corresponding color-coded targets.\nEach agent occupies a 1x1 square and can only interact with objects within its square. Agents can move a box to an adjacent square or\ndirectly to a target square of the same color. A square may contain multiple boxes and targets. The squares are identified by their center\ncoordinates (e.g., square[0.5, 0.5]). Actions are formatted as: move(box_color, destination), where box_color is the color of the box and\ndestination is either a target of the same color or an adjacent square. Your objective is to create a sequence of action plans that instructs\neach agent to match all boxes to their color-coded targets in the most efficient manner.\n\nPlease adhere to the following rules when specifying your action plan:\n1. Single Action per Agent: Assign only one action to each agent at a time. However, the final answer shoule be a list of action plans for multiple steps.\n2. Unique Agent Keys: Use unique keys for each agent in the JSON format action plan. The key should be the agent's coordinates in the format \"Agent[x, y]\".\n3. Prioritize Matching Boxes to Targets: Always prioritize actions that will match a box to its target over moving a box to an adjacent square.\n4. Sequential Action Planning: The whole returned answer should be a list of action plans for multiple steps, do not just return one step plan.\n5. Clear Formatting: Ensure the action plan is clearly formatted in JSON, with each agent's action specified as a key-value pair.\n6. Conflict Resolution: Ensure that no two agents are assigned actions that would interfere with each other.\n7. Optimize Efficiency: Aim to minimize the number of moves required to match all boxes with their targets.\n\nHere is the format for your action plan:\nPlease provide your final answer as a list of action dictionaries.\nFor example:\n```json\n[{\"Agent[0.5, 0.5]\":\"move(box_blue, square[0.5, 1.5])\", \"Agent[1.5, 0.5]\":\"move(box_red, target_red)\"}, {\"Agent[0.5, 1.5]\":\"move(box_blue, target_blue)\", \"Agent[2.5, 0.5]\":\"move...}, {...}...]\n```\nInclude an agent in the action plan only if it has a task to perform next.\n\n\nThe current left boxes and agents are: Agent[0.5, 0.5]: I am in square[0.5, 0.5], I can observe ['box_blue'], I can do ['move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[0.5, 1.5])']\nAgent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['target_blue', 'target_green'], I can do []\nAgent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['box_red', 'box_green'], I can do ['move(box_red, square[0.5, 0.5])', 'move(box_red, square[1.5, 1.5])', 'move(box_green, square[0.5, 0.5])', 'move(box_green, square[1.5, 1.5])']\nAgent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['target_red'], I can do []\n\n", "_time": 0.0001590251922607422, "_task": "rg", "_level": 0}
|
You are a central planner tasked with directing agents in a grid-like field to move colored boxes to their corresponding color-coded targets.
Each agent occupies a 1x1 square and can only interact with objects within its square. Agents can move a box to an adjacent square or
directly to a target square of the same color. A square may contain multiple boxes and targets. The squares are identified by their center
coordinates (e.g., square[0.5, 0.5]). Actions are formatted as: move(box_color, destination), where box_color is the color of the box and
destination is either a target of the same color or an adjacent square. Your objective is to create a sequence of action plans that instructs
each agent to match all boxes to their color-coded targets in the most efficient manner.
Please adhere to the following rules when specifying your action plan:
1. Single Action per Agent: Assign only one action to each agent at a time. However, the final answer shoule be a list of action plans for multiple steps.
2. Unique Agent Keys: Use unique keys for each agent in the JSON format action plan. The key should be the agent's coordinates in the format "Agent[x, y]".
3. Prioritize Matching Boxes to Targets: Always prioritize actions that will match a box to its target over moving a box to an adjacent square.
4. Sequential Action Planning: The whole returned answer should be a list of action plans for multiple steps, do not just return one step plan.
5. Clear Formatting: Ensure the action plan is clearly formatted in JSON, with each agent's action specified as a key-value pair.
6. Conflict Resolution: Ensure that no two agents are assigned actions that would interfere with each other.
7. Optimize Efficiency: Aim to minimize the number of moves required to match all boxes with their targets.
Here is the format for your action plan:
Please provide your final answer as a list of action dictionaries.
For example:
```json
[{"Agent[0.5, 0.5]":"move(box_blue, square[0.5, 1.5])", "Agent[1.5, 0.5]":"move(box_red, target_red)"}, {"Agent[0.5, 1.5]":"move(box_blue, target_blue)", "Agent[2.5, 0.5]":"move...}, {...}...]
```
Include an agent in the action plan only if it has a task to perform next.
The current left boxes and agents are: Agent[0.5, 0.5]: I am in square[0.5, 0.5], I can observe ['box_blue'], I can do ['move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[0.5, 1.5])']
Agent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['target_blue', 'target_green'], I can do []
Agent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['box_red', 'box_green'], I can do ['move(box_red, square[0.5, 0.5])', 'move(box_red, square[1.5, 1.5])', 'move(box_green, square[0.5, 0.5])', 'move(box_green, square[1.5, 1.5])']
Agent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['target_red'], I can do []
|
rg
|
Abigail is a pioneer, and Joseph is a laggard.
|
{"source_dataset": "knights_knaves", "source_index": 0, "statements": [["or", ["telling-truth", 1], ["telling-truth", 0]], ["not", ["telling-truth", 0]]], "solution": [true, false], "names": ["Abigail", "Joseph"], "knight_knave_terms": {"knight": "pioneer", "knave": "laggard", "a_knight": "a pioneer", "a_knave": "a laggard", "Knight": "Pioneer", "Knave": "Laggard"}, "difficulty": {"n_people": 2, "depth_constraint": 2, "width_constraint": 2}, "task_name": "RG.knights_knaves", "_question": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Abigail, and Joseph. \"Joseph is a pioneer or Abigail is a pioneer,\" Abigail mentioned. Joseph noted, \"Abigail is a laggard\". So who is a pioneer and who is a laggard? (Format your answer like: \"Abigail is a pioneer/laggard, and Joseph is a pioneer/laggard\")", "_time": 0.0006313323974609375, "_task": "rg", "_level": 0}
|
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Abigail, and Joseph. "Joseph is a pioneer or Abigail is a pioneer," Abigail mentioned. Joseph noted, "Abigail is a laggard". So who is a pioneer and who is a laggard? (Format your answer like: "Abigail is a pioneer/laggard, and Joseph is a pioneer/laggard")
|
rg
|
Wednesday
|
{"task": "weekday_offset", "start_date": "2022-05-21", "offset_days": 39, "target_date": "2022-06-29", "source_dataset": "calendar_arithmetic", "source_index": 0, "difficulty": {"tasks": ["weekday_offset", "weekday_of_date", "weekday_of_date_from_first_date", "recurring_event_day", "count_days", "count_business_days", "is_leap_year"], "offset_upper_bound": 100}, "task_name": "RG.calendar_arithmetic", "_question": "Starting from Saturday, May 21, 2022, which weekday falls after a 39-day jump? Answer with the weekday's name (e.g., Monday, Tuesday, etc.).", "_time": 0.00019311904907226562, "_task": "rg", "_level": 0}
|
Starting from Saturday, May 21, 2022, which weekday falls after a 39-day jump? Answer with the weekday's name (e.g., Monday, Tuesday, etc.).
|
rg
|
cbacbbacbbbc
|
{"source_dataset": "string_manipulation", "source_index": 0, "string": "cbacbbcaacbbbc", "solution": "cbacbbacbbbc", "states": ["cbacbbcaacbbbc", "cbacbbacbbbc"], "selected_rules": ["If the string ends with 'ca', remove the last character.", "If the string prefix is 'ca', replace it with 'bb' and append 'c' to the end.", "If the string prefix is 'ab', replace it with 'ca'.", "If the string ends with 'ba', replace it with 'ab'.", "If the string contains 'ca' (not at the start), remove the first occurrence found after the first character."], "string_length": 14, "num_rules": 5, "difficulty": {"string_length": [5, 20], "num_rules": [3, 8]}, "task_name": "RG.string_manipulation", "_question": "Your job is to repeatedly transform a string according to a set of rules until no further transformations can be performed, or a state is repeated.\n\nEvaluate the following rules in order, and apply the first applicable rule to the string:\n1. If the string ends with 'ca', remove the last character.\n2. If the string prefix is 'ca', replace it with 'bb' and append 'c' to the end.\n3. If the string prefix is 'ab', replace it with 'ca'.\n4. If the string ends with 'ba', replace it with 'ab'.\n5. If the string contains 'ca' (not at the start), remove the first occurrence found after the first character.\n\nOnce you have applied a rule, repeat the process with the new string until no further transformations can be performed (i.e. the string doesn't change), or a state is repeated.\nIf a state is repeated, the process is terminated, and the repeated state is discarded (i.e. is not considered as the final answer) and the state before the repeated state is considered as the final answer.\n\nYour output should be the final transformed string after applying all the rules.\n\nTransform the following string according to the above list of rules:\ncbacbbcaacbbbc\n", "_time": 0.00013899803161621094, "_task": "rg", "_level": 0}
|
Your job is to repeatedly transform a string according to a set of rules until no further transformations can be performed, or a state is repeated.
Evaluate the following rules in order, and apply the first applicable rule to the string:
1. If the string ends with 'ca', remove the last character.
2. If the string prefix is 'ca', replace it with 'bb' and append 'c' to the end.
3. If the string prefix is 'ab', replace it with 'ca'.
4. If the string ends with 'ba', replace it with 'ab'.
5. If the string contains 'ca' (not at the start), remove the first occurrence found after the first character.
Once you have applied a rule, repeat the process with the new string until no further transformations can be performed (i.e. the string doesn't change), or a state is repeated.
If a state is repeated, the process is terminated, and the repeated state is discarded (i.e. is not considered as the final answer) and the state before the repeated state is considered as the final answer.
Your output should be the final transformed string after applying all the rules.
Transform the following string according to the above list of rules:
cbacbbcaacbbbc
|
rg
|
-256*x**5/5 - 192*x**4 - 288*x**3 - 216*x**2 - 81*x + C
|
{"source_dataset": "intermediate_integration", "source_index": 0, "integrand": "-(4*x + 3)**4", "problem_type": "linear", "variable": "x", "difficulty": {"problem_type_weights": [0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125]}, "task_name": "RG.intermediate_integration", "_question": "Find the indefinite integral: \u222b -(4*x + 3)**4 dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n3. Use `exp(x)` or `E**(x)` for the exponential function (i.e. use capital E for Euler's number).\n", "_time": 0.0060083866119384766, "_task": "rg", "_level": 0}
|
Find the indefinite integral: β« -(4*x + 3)**4 dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.
3. Use `exp(x)` or `E**(x)` for the exponential function (i.e. use capital E for Euler's number).
|
rg
|
7
|
{"source_dataset": "aiw", "source_index": 0, "task_type": "siblings", "difficulty": {"task_type_weights": [0.3333333333333333, 0.3333333333333333, 0.3333333333333333], "num_entities": 6}, "task_name": "RG.aiw", "_question": "Barbara has 6 sisters and she also has 5 brothers. How many sisters does Charles's brother have?", "_time": 0.000102996826171875, "_task": "rg", "_level": 0}
|
Barbara has 6 sisters and she also has 5 brothers. How many sisters does Charles's brother have?
|
rg
|
3 9
|
{"source_dataset": "manipulate_matrix", "source_index": 0, "matrix": [[3, 8, 0, 0], [3, 6, 9, 2], [2, 2, 3, 6], [2, 6, 5, 7], [1, 4, 6, 3], [9, 2, 3, 6], [0, 6, 9, 7], [3, 2, 9, 2], [3, 3, 0, 9], [4, 0, 4, 9]], "solution": [[3, 9]], "operations": [{"transform": "crop", "row_start": 9, "row_end": 9, "col_start": 2, "col_end": 4, "instruction": "- Crop the matrix to rows 9-9 and columns 2-4 (1-indexed)"}, {"transform": "rotate", "degrees": "360", "instruction": "- Rotate the matrix 360 degrees"}, {"transform": "vmirror", "instruction": "- Vertically mirror the matrix"}, {"transform": "cmirror", "instruction": "- Mirror the matrix along the counterdiagonal"}, {"transform": "dmirror", "instruction": "- Mirror the matrix along the diagonal"}, {"transform": "remove_every_nth_col", "n": 2, "instruction": "- Remove every 2-nd column (1-indexed)"}, {"transform": "cmirror", "instruction": "- Mirror the matrix along the counterdiagonal"}, {"transform": "cmirror", "instruction": "- Mirror the matrix along the counterdiagonal"}, {"transform": "map", "from": 8, "to": 6, "instruction": "- Map each occurrence of 8 to 6"}], "rows": 10, "cols": 4, "num_transforms": 9, "difficulty": {"rows": [2, 10], "cols": [2, 10], "num_transforms": [1, 10]}, "task_name": "RG.manipulate_matrix", "_question": "For the following matrix:\n3 8 0 0\n3 6 9 2\n2 2 3 6\n2 6 5 7\n1 4 6 3\n9 2 3 6\n0 6 9 7\n3 2 9 2\n3 3 0 9\n4 0 4 9\n\nPerform the following series of operations in order:\n- Identity transformation, i.e. no change\n- Crop the matrix to rows 9-9 and columns 2-4 (1-indexed)\n- Rotate the matrix 360 degrees\n- Vertically mirror the matrix\n- Mirror the matrix along the counterdiagonal\n- Mirror the matrix along the diagonal\n- Remove every 2-nd column (1-indexed)\n- Mirror the matrix along the counterdiagonal\n- Mirror the matrix along the counterdiagonal\n- Map each occurrence of 8 to 6\n", "_time": 0.0003941059112548828, "_task": "rg", "_level": 0}
|
For the following matrix:
3 8 0 0
3 6 9 2
2 2 3 6
2 6 5 7
1 4 6 3
9 2 3 6
0 6 9 7
3 2 9 2
3 3 0 9
4 0 4 9
Perform the following series of operations in order:
- Identity transformation, i.e. no change
- Crop the matrix to rows 9-9 and columns 2-4 (1-indexed)
- Rotate the matrix 360 degrees
- Vertically mirror the matrix
- Mirror the matrix along the counterdiagonal
- Mirror the matrix along the diagonal
- Remove every 2-nd column (1-indexed)
- Mirror the matrix along the counterdiagonal
- Mirror the matrix along the counterdiagonal
- Map each occurrence of 8 to 6
|
rg
|
110
|
{"source_dataset": "count_primes", "source_index": 0, "start": 8597, "end": 9524, "primes": [8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521], "solution": 110, "n": [8597, 9524], "difficulty": {"n": [1, 10000]}, "task_name": "RG.count_primes", "_question": "Count how many prime numbers there are between 8597 and 9524 (inclusive) ?", "_time": 0.0005645751953125, "_task": "rg", "_level": 0}
|
Count how many prime numbers there are between 8597 and 9524 (inclusive) ?
|
rg
|
BECBACAAEBACCAEECA
|
{"source_dataset": "string_insertion", "source_index": 0, "string": "BECBACAAEBACCAEECA", "solution": "BECBACAAEBACCAEECA", "string_length": 18, "difficulty": {"string_length": [5, 20]}, "task_name": "RG.string_insertion", "_question": "Given a string consisting of characters A, B, C, D, and E, your job is to insert a character according to the following pattern:\n1. If there is a substring ABCD in the string, insert the character A after the substring.\n2. If there is a substring BCDE in the string, insert the character B after the substring.\n3. If there is a substring CDEA in the string, insert the character C after the substring.\n4. If there is a substring DEAB in the string, insert the character D after the substring.\n5. If there is a substring EABC in the string, insert the character E after the substring.\n\nOnce you have inserted a character, you have to skip over the substring and the inserted character and continue the search from the next character.\n\nYour output should be a string that has been modified according to the pattern.\n\nGiven the following string, provide the answer after inserting the characters according to the pattern: BECBACAAEBACCAEECA\n", "_time": 0.00010204315185546875, "_task": "rg", "_level": 0}
|
Given a string consisting of characters A, B, C, D, and E, your job is to insert a character according to the following pattern:
1. If there is a substring ABCD in the string, insert the character A after the substring.
2. If there is a substring BCDE in the string, insert the character B after the substring.
3. If there is a substring CDEA in the string, insert the character C after the substring.
4. If there is a substring DEAB in the string, insert the character D after the substring.
5. If there is a substring EABC in the string, insert the character E after the substring.
Once you have inserted a character, you have to skip over the substring and the inserted character and continue the search from the next character.
Your output should be a string that has been modified according to the pattern.
Given the following string, provide the answer after inserting the characters according to the pattern: BECBACAAEBACCAEECA
|
rg
|
['-84.63', '-88.543', '-88.441', '-90.6', '-34.1997']
|
{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["-84.63", "-27.635", "56.7603", "-88.543", "97.4289", "-88.441", "-90.6", "91.8", "-34.1997", "-7.18"], "filter_value": "-32.885", "operation": "remove_larger", "result": ["-84.63", "-88.543", "-88.441", "-90.6", "-34.1997"], "numbers": 10, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Remove all numbers larger than -32.885 in this list: ['-84.63', '-27.635', '56.7603', '-88.543', '97.4289', '-88.441', '-90.6', '91.8', '-34.1997', '-7.18']\nReturn the new list in the same format.", "_time": 0.00012445449829101562, "_task": "rg", "_level": 0}
|
Remove all numbers larger than -32.885 in this list: ['-84.63', '-27.635', '56.7603', '-88.543', '97.4289', '-88.441', '-90.6', '91.8', '-34.1997', '-7.18']
Return the new list in the same format.
|
rg
|
141*z**5 + 241*z**3 - 360*z
|
{"source_dataset": "polynomial_multiplication", "source_index": 0, "polynomial_expr": "(45 - 47*z**2)*(-3*z**3 - 8*z)", "variables": ["z"], "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "min_degree": 0, "max_degree": 3, "min_polynomials": 2, "max_polynomials": 3}, "task_name": "RG.polynomial_multiplication", "_question": "Simplify this expression: (45 - 47*z**2)*(-3*z**3 - 8*z)\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.0026483535766601562, "_task": "rg", "_level": 0}
|
Simplify this expression: (45 - 47*z**2)*(-3*z**3 - 8*z)
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.
|
rg
|
infeasible
|
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["O", "X", "O", "X", "X", "X", "O", "O"], ["X", "#", "O", "X", "X", "O", "X", "O"], ["O", "O", "X", "O", "X", "X", "X", "O"], ["X", "O", "O", "O", "O", "X", "O", "O"], ["X", "O", "O", "O", "X", "O", "*", "O"], ["O", "X", "X", "O", "X", "O", "O", "X"], ["O", "X", "O", "X", "O", "O", "O", "X"]], "solution": [], "difficulty": {"rows": [5, 8], "cols": [5, 8]}, "task_name": "RG.shortest_path", "_question": "Your task is to find the shortest path from the start to the destination point in a grid.\n\nThe grid is represented as a matrix with the following types of cells:\n- *: your starting point\n- #: your destination point\n- O: an open cell\n- X: a blocked cell\n\nTherefore, you need to find the shortest path from * to #, moving only through open cells.\n\nYou may only move in four directions: up, down, left, and right.\n\nIf there is no path from * to #, simply write \"infeasible\" (without quotes).\n\nYour output should be a sequence of directions that leads from * to #, e.g. right right down down up left\n\nNow, find the length of the shortest path from * to # in the following grid:\nO X O X X X O O\nX # O X X O X O\nO O X O X X X O\nX O O O O X O O\nX O O O X O * O\nO X X O X O O X\nO X O X O O O X\n", "_time": 0.00015497207641601562, "_task": "rg", "_level": 0}
|
Your task is to find the shortest path from the start to the destination point in a grid.
The grid is represented as a matrix with the following types of cells:
- *: your starting point
- #: your destination point
- O: an open cell
- X: a blocked cell
Therefore, you need to find the shortest path from * to #, moving only through open cells.
You may only move in four directions: up, down, left, and right.
If there is no path from * to #, simply write "infeasible" (without quotes).
Your output should be a sequence of directions that leads from * to #, e.g. right right down down up left
Now, find the length of the shortest path from * to # in the following grid:
O X O X X X O O
X # O X X O X O
O O X O X X X O
X O O O O X O O
X O O O X O * O
O X X O X O O X
O X O X O O O X
|
rg
|
10
|
{"source_dataset": "largest_island", "source_index": 0, "grid": [[0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0]], "solution": 10, "difficulty": {"rows": [5, 10], "cols": [5, 10], "num_islands": [0, 5], "island_size": [0, 10]}, "task_name": "RG.largest_island", "_question": "You are given the following 8 x 9 binary matrix grid:\n0 0 0 1 1 0 0 0 0\n0 0 0 1 0 0 0 0 0\n0 0 0 1 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 1 0\n0 0 0 1 1 1 0 1 0\n0 0 0 1 1 1 1 1 0\n\nAn island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical).\nYou may assume all four edges of the grid are surrounded by water.\n\nThe area of an island is the number of cells with a value 1 in the island.\n\nReturn the maximum area of an island in grid. If there is no island, return 0.\n", "_time": 0.00016689300537109375, "_task": "rg", "_level": 0}
|
You are given the following 8 x 9 binary matrix grid:
0 0 0 1 1 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0
0 0 0 1 1 1 0 1 0
0 0 0 1 1 1 1 1 0
An island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical).
You may assume all four edges of the grid are surrounded by water.
The area of an island is the number of cells with a value 1 in the island.
Return the maximum area of an island in grid. If there is no island, return 0.
|
rg
|
False
|
{"source_dataset": "course_schedule", "source_index": 0, "courses": [2, 1, 4, 5, 3, 6, 0], "prerequisites": [[4, 2], [1, 2], [0, 1], [2, 0], [0, 6], [6, 3], [3, 4], [5, 2], [3, 1]], "solution": false, "solvable": false, "difficulty": {"num_courses": [5, 10], "num_prerequisites": [1, 2], "cycle_length": [3, 5]}, "task_name": "RG.course_schedule", "_question": "There are a total of 7 courses you have to take, labeled from 0 to 6.\n\nYou are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:\n[(4, 2), (1, 2), (0, 1), (2, 0), (0, 6), (6, 3), (3, 4), (5, 2), (3, 1)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.00015306472778320312, "_task": "rg", "_level": 0}
|
There are a total of 7 courses you have to take, labeled from 0 to 6.
You are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:
[(4, 2), (1, 2), (0, 1), (2, 0), (0, 6), (6, 3), (3, 4), (5, 2), (3, 1)]
Return True if you can finish all courses considering the prerequisites, or False otherwise.
|
rg
|
8439
|
{"source_dataset": "lcm", "source_index": 0, "numbers": [87, 97], "result": 8439, "difficulty": {"numbers": [2, 2], "value": [1, 100]}, "task_name": "RG.lcm", "_question": "Find the Least Common Multiple (LCM) of these numbers: 87, 97", "_time": 9.441375732421875e-05, "_task": "rg", "_level": 0}
|
Find the Least Common Multiple (LCM) of these numbers: 87, 97
|
rg
|
0 6
0 7
|
{"source_dataset": "rotate_matrix", "source_index": 0, "matrix": [[7, 0], [6, 0]], "num_rotations": 10, "solution": [[0, 6], [0, 7]], "n": 2, "difficulty": {"n": [2, 10], "num_rotations": [0, 10]}, "task_name": "RG.rotate_matrix", "_question": "Given a square matrix, your job is to rotate it clockwise.\n\nYour output should be a matrix in the same format as the input.\n\nRotate the matrix below by 900 degrees clockwise:\n7 0\n6 0\n", "_time": 0.00012612342834472656, "_task": "rg", "_level": 0}
|
Given a square matrix, your job is to rotate it clockwise.
Your output should be a matrix in the same format as the input.
Rotate the matrix below by 900 degrees clockwise:
7 0
6 0
|
rg
|
-3*x**8/4 - 5*x**6/3 - 10*x**5/9 - 3*x**2 + C
|
{"source_dataset": "simple_integration", "source_index": 0, "integrand": "-6*x**7 - 10*x**5 - 50*x**4/9 - 6*x", "variable": "x", "num_terms": 4, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Evaluate the indefinite integral: \u222b -6*x**7 - 10*x**5 - 50*x**4/9 - 6*x dx\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.006143808364868164, "_task": "rg", "_level": 0}
|
Evaluate the indefinite integral: β« -6*x**7 - 10*x**5 - 50*x**4/9 - 6*x dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.
|
rg
|
0 0 1 2 0 0 0 0 1
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[2, 4, 5, 0, 0, 0, 0, 0, 0], [1, 3, 4, 1, 0, 0, 0, 0, 0], [0, 2, 3, 2, 0, 0, 0, 0, 0], [0, 1, 2, 2, 1, 0, 0, 0, 0], [0, 0, 1, 2, 2, 0, 0, 0, 0], [0, 0, 1, 2, 0, 0, 0, 0, 1]], "solution": [0, 0, 1, 2, 0, 0, 0, 0, 1], "initial_blocks": [2, 4, 5], "difficulty": {"initial_blocks": [0, 5]}, "task_name": "RG.string_synthesis", "_question": "There are nine different blocks [A] [B] [C] {A} {B} {C} (A) (B) (C)\n1. One [A], one [B], and one [C] can be combined to form one {A}.\n2. One [A] and one [B] can be combined to form one {C}.\n3. One [B] and one [C] can be combined to form one {B}.\n4. Two [C] can be combined to form one {C}.\n5. One {A} and one {C} can be combined to form one (A) and one (B).\n6. Two {B} can be combined to form one (C).\n\nGiven a certain number of initial blocks, your job is to cycle through the rules 1-6 above, synthesizing new blocks until no more rules can be applied, or until a state (counts of each block type) is repeated.\nIn the case a state is repeated the answer is the state before the repetition!\n\nThe output should be the count of each block type after the rules have been applied in the order they are listed above.\nFor example 1 0 3 0 2 0 0 0 1 means that you have 1 [A] 0 [B] 3 [C] 0 {A} 2 {B} 0 {C} 0 (A) 0 (B) 1 (C).\n\nNow, you have 2 [A], 4 [B], and 5 [C] blocks. Provide the count of each block type after applying the above rules.\nNote: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts.\n", "_time": 0.00011348724365234375, "_task": "rg", "_level": 0}
|
There are nine different blocks [A] [B] [C] {A} {B} {C} (A) (B) (C)
1. One [A], one [B], and one [C] can be combined to form one {A}.
2. One [A] and one [B] can be combined to form one {C}.
3. One [B] and one [C] can be combined to form one {B}.
4. Two [C] can be combined to form one {C}.
5. One {A} and one {C} can be combined to form one (A) and one (B).
6. Two {B} can be combined to form one (C).
Given a certain number of initial blocks, your job is to cycle through the rules 1-6 above, synthesizing new blocks until no more rules can be applied, or until a state (counts of each block type) is repeated.
In the case a state is repeated the answer is the state before the repetition!
The output should be the count of each block type after the rules have been applied in the order they are listed above.
For example 1 0 3 0 2 0 0 0 1 means that you have 1 [A] 0 [B] 3 [C] 0 {A} 2 {B} 0 {C} 0 (A) 0 (B) 1 (C).
Now, you have 2 [A], 4 [B], and 5 [C] blocks. Provide the count of each block type after applying the above rules.
Note: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts.
|
rg
|
False
|
{"source_dataset": "course_schedule", "source_index": 0, "courses": [3, 0, 2, 4, 1, 5], "prerequisites": [[4, 0], [2, 3], [5, 2], [5, 4], [0, 3], [3, 5], [4, 3], [1, 0], [1, 4]], "solution": false, "solvable": false, "difficulty": {"num_courses": [5, 10], "num_prerequisites": [1, 2], "cycle_length": [3, 5]}, "task_name": "RG.course_schedule", "_question": "There are a total of 6 courses you have to take, labeled from 0 to 5.\n\nYou are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:\n[(4, 0), (2, 3), (5, 2), (5, 4), (0, 3), (3, 5), (4, 3), (1, 0), (1, 4)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.0001533031463623047, "_task": "rg", "_level": 0}
|
There are a total of 6 courses you have to take, labeled from 0 to 5.
You are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:
[(4, 0), (2, 3), (5, 2), (5, 4), (0, 3), (3, 5), (4, 3), (1, 0), (1, 4)]
Return True if you can finish all courses considering the prerequisites, or False otherwise.
|
rg
|
-14325370
|
{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "( -242 / 1 + 682 - 705 ) * -( -302 * 179 )", "num_terms": 6, "num_digits": 3, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate ( -242 / 1 + 682 - 705 ) * -( -302 * 179 ).", "_time": 0.00025200843811035156, "_task": "rg", "_level": 0}
|
Calculate ( -242 / 1 + 682 - 705 ) * -( -302 * 179 ).
|
rg
|
["fill B", "pour B->A", "empty A", "pour B->A", "empty A", "pour B->A", "fill B", "pour B->A", "empty A", "pour B->A", "pour B->C"]
|
{"source_dataset": "jugs", "source_index": 0, "puzzle": {"jug_capacities": [5, 13, 5], "target": 1, "min_moves": 11}, "difficulty": {"num_jugs": 3, "difficulty": 10}, "task_name": "RG.jugs", "_question": "You are a police officer. A maniac has planted a bomb next to a public fountain.\n\nTo defuse the bomb, you must solve a puzzle. The puzzle is solved when you fill any of the available jugs with the target amount of water.\n\nYou have three move types: 'fill', 'empty' and 'pour'.\n\nTo fill Jug A, you 'fill A'.\nTo empty Jug B, you 'empty B'.\nTo pour the contents of Jug A into Jug B, you 'pour A->B'.\nAll jugs are empty to begin with.\n\nThe empty jugs hold this many litres of water: A:5, B:13, C:5\nAnd your target is: 1 litres.\n\nHow do you defuse the bomb?\n\nReply as a JSON-parsable list of moves which result in any of the jugs being filled with the target amount.\n", "_time": 0.005285501480102539, "_task": "rg", "_level": 0}
|
You are a police officer. A maniac has planted a bomb next to a public fountain.
To defuse the bomb, you must solve a puzzle. The puzzle is solved when you fill any of the available jugs with the target amount of water.
You have three move types: 'fill', 'empty' and 'pour'.
To fill Jug A, you 'fill A'.
To empty Jug B, you 'empty B'.
To pour the contents of Jug A into Jug B, you 'pour A->B'.
All jugs are empty to begin with.
The empty jugs hold this many litres of water: A:5, B:13, C:5
And your target is: 1 litres.
How do you defuse the bomb?
Reply as a JSON-parsable list of moves which result in any of the jugs being filled with the target amount.
|
rg
|
11
|
{"source_dataset": "gcd", "source_index": 0, "numbers": [781, 605], "result": 11, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 781, 605. Give only the GCD as your final answer.", "_time": 8.797645568847656e-05, "_task": "rg", "_level": 0}
|
Find the Greatest Common Divisor (GCD) of these numbers: 781, 605. Give only the GCD as your final answer.
|
rg
|
466
|
{"source_dataset": "base_conversion", "source_index": 0, "decimal_value": 466, "source_base": 4, "target_base": 10, "source_repr": "13102", "target_repr": "466", "difficulty": {"base": [2, 16], "value": [0, 1000]}, "task_name": "RG.base_conversion", "_question": "Your task is to convert a number between two different bases.\n\nIf the target base is > 10, use lowercase letters a-z for digits above 9.\n\nNow, convert the base-4 number 13102 to base-10\n", "_time": 9.202957153320312e-05, "_task": "rg", "_level": 0}
|
Your task is to convert a number between two different bases.
If the target base is > 10, use lowercase letters a-z for digits above 9.
Now, convert the base-4 number 13102 to base-10
|
rg
|
A β A β C
|
{"source_dataset": "quantum_lock", "source_index": 0, "solution_path": ["A", "A", "C"], "target_value": 8, "buttons": [{"name": "A", "type": "add", "value": 2, "active_state": "any"}, {"name": "B", "type": "multiply", "value": 2, "active_state": "green"}, {"name": "C", "type": "multiply", "value": 2, "active_state": "any"}], "initial_state": "red", "initial_value": 0, "difficulty": {"difficulty": 2}, "task_name": "RG.quantum_lock", "_question": "In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.\nYou must press the shortest correct sequence of buttons to reach the target value. Your answer should be a sequence of buttons separated by '\u2192', for example: A \u2192 B \u2192 C\n\nStart: 0 (red)\nTarget: 8\nButtons:\nA: Add 2 (when any)\nB: Multiply 2 (when green)\nC: Multiply 2 (when any)", "_time": 0.0001723766326904297, "_task": "rg", "_level": 0}
|
In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.
You must press the shortest correct sequence of buttons to reach the target value. Your answer should be a sequence of buttons separated by 'β', for example: A β B β C
Start: 0 (red)
Target: 8
Buttons:
A: Add 2 (when any)
B: Multiply 2 (when green)
C: Multiply 2 (when any)
|
rg
|
4 3
0 2
|
{"source_dataset": "arc_agi", "source_index": 0, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 8, 4, 4, 8, 8, 8, 8, 3, 3, 8, 8, 6, 6], [6, 8, 8, 4, 4, 8, 8, 8, 8, 3, 3, 8, 8, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 8, 8, 0, 0, 8, 8, 8, 8, 2, 2, 8, 8, 6, 6], [6, 8, 8, 0, 0, 8, 8, 8, 8, 2, 2, 8, 8, 6, 6], [6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[4, 3], [0, 2]], "task_id": "19bb5feb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}, "task_name": "RG.arc_agi", "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 8 8 8 8 0 0 8 8 8 2 2 8 8 6\n6 8 8 8 8 0 0 8 8 8 2 2 8 8 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 8 8 8 8 3 3 8 8 8 8 8 8 8 6\n6 8 8 8 8 3 3 8 8 8 8 8 8 8 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n0 2\n3 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 8 8 8 8 8 3 3 8 6 6\n6 6 6 6 6 8 8 8 8 8 3 3 8 6 6\n6 6 6 6 6 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 8 0 0 8 8 8 8 8 6 6\n6 6 6 6 6 8 0 0 8 8 8 8 8 6 6\n6 6 6 6 6 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 3\n0 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 5 5 8 8 9 9 8 6\n6 6 6 6 6 6 8 8 5 5 8 8 9 9 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 0 0 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 0 0 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n5 9\n6 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 8 8 4 4 8 8 8 8 3 3 8 8 6 6\n6 8 8 4 4 8 8 8 8 3 3 8 8 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 8 8 0 0 8 8 8 8 2 2 8 8 6 6\n6 8 8 0 0 8 8 8 8 2 2 8 8 6 6\n6 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n", "_time": 0.3548612594604492, "_task": "rg", "_level": 0}
|
Find the common rule that maps an input grid to an output grid, given the examples below.
Example 1:
Input:
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 8 8 8 8 0 0 8 8 8 2 2 8 8 6
6 8 8 8 8 0 0 8 8 8 2 2 8 8 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 8 8 8 8 3 3 8 8 8 8 8 8 8 6
6 8 8 8 8 3 3 8 8 8 8 8 8 8 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 8 8 8 8 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
Output:
0 2
3 6
Example 2:
Input:
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 8 8 8 8 8 8 8 8 6 6
6 6 6 6 6 8 8 8 8 8 3 3 8 6 6
6 6 6 6 6 8 8 8 8 8 3 3 8 6 6
6 6 6 6 6 8 8 8 8 8 8 8 8 6 6
6 6 6 6 6 8 8 8 8 8 8 8 8 6 6
6 6 6 6 6 8 0 0 8 8 8 8 8 6 6
6 6 6 6 6 8 0 0 8 8 8 8 8 6 6
6 6 6 6 6 8 8 8 8 8 8 8 8 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
Output:
6 3
0 6
Example 3:
Input:
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 5 5 8 8 9 9 8 6
6 6 6 6 6 6 8 8 5 5 8 8 9 9 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 0 0 8 6
6 6 6 6 6 6 8 8 8 8 8 8 0 0 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
Output:
5 9
6 0
Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Your final answer should just be the text output grid itself.
Input:
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 8 8 4 4 8 8 8 8 3 3 8 8 6 6
6 8 8 4 4 8 8 8 8 3 3 8 8 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 8 8 0 0 8 8 8 8 2 2 8 8 6 6
6 8 8 0 0 8 8 8 8 2 2 8 8 6 6
6 8 8 8 8 8 8 8 8 8 8 8 8 6 6
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
|
rg
|
D=9,F=6,H=5,M=1,R=3,S=4,V=7,Z=0
|
{"source_dataset": "cryptarithm", "source_index": 0, "letters": ["Z", "M", "F", "V", "R", "H", "S", "D"], "word_values": [156, 350, 9664], "sum_number": 10170, "words_letters": ["MHF", "RHZ", "DFFS"], "result_letters": "MZMVZ", "digit_to_letter": {"0": "Z", "1": "M", "6": "F", "7": "V", "3": "R", "5": "H", "4": "S", "9": "D"}, "letter_to_digit": {"Z": 0, "M": 1, "F": 6, "V": 7, "R": 3, "H": 5, "S": 4, "D": 9}, "difficulty": {"words": [2, 3]}, "task_name": "RG.cryptarithm", "_question": "Solve this cryptarithm:\n\n MHF\n RHZ\n+ DFFS\n-------\n MZMVZ\n\nEach letter stands for a unique digit (0-9). No leading letter can be zero.\nProvide a comma separated mapping from letters to digits that satisfies the equation in your final answer. Output format: \"A=1,B=2,C=3\" (without quotes)\n", "_time": 0.00016117095947265625, "_task": "rg", "_level": 0}
|
Solve this cryptarithm:
MHF
RHZ
+ DFFS
-------
MZMVZ
Each letter stands for a unique digit (0-9). No leading letter can be zero.
Provide a comma separated mapping from letters to digits that satisfies the equation in your final answer. Output format: "A=1,B=2,C=3" (without quotes)
|
rg
|
green
|
{"source_dataset": "color_cube_rotation", "source_index": 0, "initial_state": {"top": "indigo", "right": "silver", "front": "green", "left": "magenta", "back": "cyan", "bottom": "brown"}, "rotations": ["left", "back"], "target_side": "bottom", "num_rotations": 2, "difficulty": {"rotations": [1, 3]}, "task_name": "RG.color_cube_rotation", "_question": "A cube has:\n- a indigo top side\n- a silver right side\n- a green front side\n- a magenta left side\n- a cyan back side\n- a brown bottom side\n\nThe cube is rotated so that the side which was before at the left is now at the top.\n\nNext, the back side is rotated to become the top face.\n\nWhat is now the color of the bottom side of the cube?\nProvide only the color as your final answer.", "_time": 0.00016117095947265625, "_task": "rg", "_level": 0}
|
A cube has:
- a indigo top side
- a silver right side
- a green front side
- a magenta left side
- a cyan back side
- a brown bottom side
The cube is rotated so that the side which was before at the left is now at the top.
Next, the back side is rotated to become the top face.
What is now the color of the bottom side of the cube?
Provide only the color as your final answer.
|
rg
|
1 0 1 1 2 2 1 2 1 2
2 1 1 0 1 1 0 1 0 1
3 2 1 0 1 1 1 1 0 1
2 1 0 0 1 0 0 1 1 2
1 0 1 1 2 1 1 0 1 2
1 0 0 1 2 1 0 1 2 1
1 1 0 1 1 2 1 2 1 0
0 0 1 1 0 1 2 1 0 1
1 0 1 2 1 2 1 2 1 1
2 1 0 1 2 1 0 1 1 0
|
{"source_dataset": "binary_matrix", "source_index": 0, "matrix": [[1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 0]], "solution": [[1, 0, 1, 1, 2, 2, 1, 2, 1, 2], [2, 1, 1, 0, 1, 1, 0, 1, 0, 1], [3, 2, 1, 0, 1, 1, 1, 1, 0, 1], [2, 1, 0, 0, 1, 0, 0, 1, 1, 2], [1, 0, 1, 1, 2, 1, 1, 0, 1, 2], [1, 0, 0, 1, 2, 1, 0, 1, 2, 1], [1, 1, 0, 1, 1, 2, 1, 2, 1, 0], [0, 0, 1, 1, 0, 1, 2, 1, 0, 1], [1, 0, 1, 2, 1, 2, 1, 2, 1, 1], [2, 1, 0, 1, 2, 1, 0, 1, 1, 0]], "n": 10, "difficulty": {"n": [3, 10], "p_zero": 0.25}, "task_name": "RG.binary_matrix", "_question": "Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.\n\nThe output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.\n\nFind the distance to the nearest 0 for each cell in the matrix below:\n1 0 1 1 1 1 1 1 1 1\n1 1 1 0 1 1 0 1 0 1\n1 1 1 0 1 1 1 1 0 1\n1 1 0 0 1 0 0 1 1 1\n1 0 1 1 1 1 1 0 1 1\n1 0 0 1 1 1 0 1 1 1\n1 1 0 1 1 1 1 1 1 0\n0 0 1 1 0 1 1 1 0 1\n1 0 1 1 1 1 1 1 1 1\n1 1 0 1 1 1 0 1 1 0\n", "_time": 0.0002701282501220703, "_task": "rg", "_level": 0}
|
Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.
The output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.
Find the distance to the nearest 0 for each cell in the matrix below:
1 0 1 1 1 1 1 1 1 1
1 1 1 0 1 1 0 1 0 1
1 1 1 0 1 1 1 1 0 1
1 1 0 0 1 0 0 1 1 1
1 0 1 1 1 1 1 0 1 1
1 0 0 1 1 1 0 1 1 1
1 1 0 1 1 1 1 1 1 0
0 0 1 1 0 1 1 1 0 1
1 0 1 1 1 1 1 1 1 1
1 1 0 1 1 1 0 1 1 0
|
rg
|
2 0 1 1 0 0 1 1 0
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[4, 2, 5, 0, 0, 0, 0, 0, 0], [3, 1, 4, 1, 0, 0, 0, 0, 0], [2, 0, 3, 2, 0, 0, 0, 0, 0], [2, 0, 1, 2, 0, 1, 0, 0, 0], [2, 0, 1, 1, 0, 0, 1, 1, 0]], "solution": [2, 0, 1, 1, 0, 0, 1, 1, 0], "initial_blocks": [4, 2, 5], "difficulty": {"initial_blocks": [0, 5]}, "task_name": "RG.string_synthesis", "_question": "There are nine different blocks [A] [B] [C] {A} {B} {C} (A) (B) (C)\n1. One [A], one [B], and one [C] can be combined to form one {A}.\n2. One [A] and one [B] can be combined to form one {C}.\n3. One [B] and one [C] can be combined to form one {B}.\n4. Two [C] can be combined to form one {C}.\n5. One {A} and one {C} can be combined to form one (A) and one (B).\n6. Two {B} can be combined to form one (C).\n\nGiven a certain number of initial blocks, your job is to cycle through the rules 1-6 above, synthesizing new blocks until no more rules can be applied, or until a state (counts of each block type) is repeated.\nIn the case a state is repeated the answer is the state before the repetition!\n\nThe output should be the count of each block type after the rules have been applied in the order they are listed above.\nFor example 1 0 3 0 2 0 0 0 1 means that you have 1 [A] 0 [B] 3 [C] 0 {A} 2 {B} 0 {C} 0 (A) 0 (B) 1 (C).\n\nNow, you have 4 [A], 2 [B], and 5 [C] blocks. Provide the count of each block type after applying the above rules.\nNote: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts.\n", "_time": 9.942054748535156e-05, "_task": "rg", "_level": 0}
|
There are nine different blocks [A] [B] [C] {A} {B} {C} (A) (B) (C)
1. One [A], one [B], and one [C] can be combined to form one {A}.
2. One [A] and one [B] can be combined to form one {C}.
3. One [B] and one [C] can be combined to form one {B}.
4. Two [C] can be combined to form one {C}.
5. One {A} and one {C} can be combined to form one (A) and one (B).
6. Two {B} can be combined to form one (C).
Given a certain number of initial blocks, your job is to cycle through the rules 1-6 above, synthesizing new blocks until no more rules can be applied, or until a state (counts of each block type) is repeated.
In the case a state is repeated the answer is the state before the repetition!
The output should be the count of each block type after the rules have been applied in the order they are listed above.
For example 1 0 3 0 2 0 0 0 1 means that you have 1 [A] 0 [B] 3 [C] 0 {A} 2 {B} 0 {C} 0 (A) 0 (B) 1 (C).
Now, you have 4 [A], 2 [B], and 5 [C] blocks. Provide the count of each block type after applying the above rules.
Note: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts.
|
rg
|
As for the opposite side, who knows?
|
{"source_dataset": "emoji_mystery", "source_index": 0, "emoji": "\ud83e\udde1", "num_words_in_sentence": 7, "difficulty": {"num_words_in_sentence": [3, 35]}, "task_name": "RG.emoji_mystery", "_question": "The following emoji is encoded with a sentence.\n\nDecode the following sentence from the emoji: \ud83e\udde1\udb40\udd31\udb40\udd63\udb40\udd10\udb40\udd56\udb40\udd5f\udb40\udd62\udb40\udd10\udb40\udd64\udb40\udd58\udb40\udd55\udb40\udd10\udb40\udd5f\udb40\udd60\udb40\udd60\udb40\udd5f\udb40\udd63\udb40\udd59\udb40\udd64\udb40\udd55\udb40\udd10\udb40\udd63\udb40\udd59\udb40\udd54\udb40\udd55\udb40\udd1c\udb40\udd10\udb40\udd67\udb40\udd58\udb40\udd5f\udb40\udd10\udb40\udd5b\udb40\udd5e\udb40\udd5f\udb40\udd67\udb40\udd63\udb40\udd2f\n\nHere is a hint:\n```python\ndef variance_selector_to_byte(variation_selector):\n variation_selector_codepoint = ord(variation_selector)\n if 0xFE00 <= variation_selector_codepoint <= 0xFE0F:\n return variation_selector_codepoint - 0xFE00\n elif 0xE0100 <= variation_selector_codepoint <= 0xE01EF:\n return variation_selector_codepoint - 0xE0100 + 16\n else:\n return None\n\ndef decode(encoded_sentence):\n decoded_bytes = []\n variation_selectors_part = encoded_sentence[1:]\n for char in variation_selectors_part:\n byte_val = variance_selector_to_byte(char)\n if byte_val is not None:\n decoded_bytes.append(byte_val)\n return bytes(decoded_bytes).decode('utf-8')\n```\n\n\nReturn the secret sentence as your final answer.\n", "_time": 0.0026619434356689453, "_task": "rg", "_level": 0}
|
The following emoji is encoded with a sentence.
Decode the following sentence from the emoji: π§‘σ ±σ
£σ σ
σ
σ
’σ σ
€σ
σ
σ σ
σ
σ
σ
σ
£σ
σ
€σ
σ σ
£σ
σ
σ
σ σ σ
§σ
σ
σ σ
σ
σ
σ
§σ
£σ ―
Here is a hint:
```python
def variance_selector_to_byte(variation_selector):
variation_selector_codepoint = ord(variation_selector)
if 0xFE00 <= variation_selector_codepoint <= 0xFE0F:
return variation_selector_codepoint - 0xFE00
elif 0xE0100 <= variation_selector_codepoint <= 0xE01EF:
return variation_selector_codepoint - 0xE0100 + 16
else:
return None
def decode(encoded_sentence):
decoded_bytes = []
variation_selectors_part = encoded_sentence[1:]
for char in variation_selectors_part:
byte_val = variance_selector_to_byte(char)
if byte_val is not None:
decoded_bytes.append(byte_val)
return bytes(decoded_bytes).decode('utf-8')
```
Return the secret sentence as your final answer.
|
rg
|
0x31ee6c5b
|
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "((0x9a19 * 0x52f5) - (0xdc08 + 0x338a))", "difficulty": {"difficulty": 2}, "task_name": "RG.bitwise_arithmetic", "_question": "Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.\n((0x9a19 * 0x52f5) - (0xdc08 + 0x338a))", "_time": 0.00011467933654785156, "_task": "rg", "_level": 0}
|
Please solve this problem. Assume there is arbitrary bit depth and that there are signed integers. If the answer is negative, reply as a negative value (ex., -0x3), not the two's-compliment form. Reply only with the final hexidecimal value.
((0x9a19 * 0x52f5) - (0xdc08 + 0x338a))
|
rg
|
19903
|
{"source_dataset": "chain_sum", "source_index": 0, "num_terms": 6, "num_digits": 4, "expression": "8374 + 1673 + 7070 + 5521 + 2378 - 5113", "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.chain_sum", "_question": "State the final answer to the following arithmetic problem: 8374 + 1673 + 7070 + 5521 + 2378 - 5113 =", "_time": 9.34600830078125e-05, "_task": "rg", "_level": 0}
|
State the final answer to the following arithmetic problem: 8374 + 1673 + 7070 + 5521 + 2378 - 5113 =
|
rg
|
4
|
{"source_dataset": "self_reference", "source_index": 0, "difficulty": {"difficulty": 5}, "task_name": "RG.self_reference", "_question": "Given the truthfulness of these statements, please tell me the number of possible solutions: \n - Statement 1: 'At least 1 of these 7 statements are true.'\n - Statement 2: 'At most 3 of these 7 statements are false.'\n - Statement 3: 'Exactly 4 of these 7 statements are true.'\n - Statement 4: 'Exactly 3 of these 7 statements are false.'\n - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'\n - Statement 6: 'The number of true statements is a prime number.'\n - Statement 7: 'The number of false statements is a composite number.'\n", "_time": 0.00018930435180664062, "_task": "rg", "_level": 0}
|
Given the truthfulness of these statements, please tell me the number of possible solutions:
- Statement 1: 'At least 1 of these 7 statements are true.'
- Statement 2: 'At most 3 of these 7 statements are false.'
- Statement 3: 'Exactly 4 of these 7 statements are true.'
- Statement 4: 'Exactly 3 of these 7 statements are false.'
- Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'
- Statement 6: 'The number of true statements is a prime number.'
- Statement 7: 'The number of false statements is a composite number.'
|
rg
|
9 9 3 3 3 3 3
2 9 3 3 3 3 3
3 3 3 9 9 3 3
3 3 3 9 2 3 3
9 2 3 3 3 3 3
9 9 3 3 3 2 9
3 3 3 3 3 9 9
|
{"source_dataset": "arc_agi", "source_index": 0, "input": [[9, 9, 3, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 3], [3, 3, 3, 9, 9, 3, 3], [3, 3, 3, 9, 3, 3, 3], [9, 3, 3, 3, 3, 3, 3], [9, 9, 3, 3, 3, 3, 9], [3, 3, 3, 3, 3, 9, 9]], "output": [[9, 9, 3, 3, 3, 3, 3], [2, 9, 3, 3, 3, 3, 3], [3, 3, 3, 9, 9, 3, 3], [3, 3, 3, 9, 2, 3, 3], [9, 2, 3, 3, 3, 3, 3], [9, 9, 3, 3, 3, 2, 9], [3, 3, 3, 3, 3, 9, 9]], "task_id": "3aa6fb7a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}, "task_name": "RG.arc_agi", "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 3 9 3\n3 3 3 3 9 9 3\n3 9 9 3 3 3 3\n3 9 3 3 3 3 3\n3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3\n3 3 3 3 3 3 3\n3 3 3 3 2 9 3\n3 3 3 3 9 9 3\n3 9 9 3 3 3 3\n3 9 2 3 3 3 3\n3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 9 9 3 3\n3 3 3 3 9 3 3\n3 3 3 3 3 3 3\n3 3 9 9 3 3 3\n3 3 9 3 3 3 3\n3 3 3 3 3 9 3\n3 3 3 3 9 9 3\nOutput:\n3 3 3 9 9 3 3\n3 3 3 2 9 3 3\n3 3 3 3 3 3 3\n3 3 9 9 3 3 3\n3 3 9 2 3 3 3\n3 3 3 3 2 9 3\n3 3 3 3 9 9 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 3 3 3 3 3\n3 9 3 3 3 3 3\n3 3 3 9 9 3 3\n3 3 3 9 3 3 3\n9 3 3 3 3 3 3\n9 9 3 3 3 3 9\n3 3 3 3 3 9 9\n", "_time": 0.3788776397705078, "_task": "rg", "_level": 0}
|
Find the common rule that maps an input grid to an output grid, given the examples below.
Example 1:
Input:
3 3 3 3 3 3 3
3 3 3 3 3 3 3
3 3 3 3 3 9 3
3 3 3 3 9 9 3
3 9 9 3 3 3 3
3 9 3 3 3 3 3
3 3 3 3 3 3 3
Output:
3 3 3 3 3 3 3
3 3 3 3 3 3 3
3 3 3 3 2 9 3
3 3 3 3 9 9 3
3 9 9 3 3 3 3
3 9 2 3 3 3 3
3 3 3 3 3 3 3
Example 2:
Input:
3 3 3 9 9 3 3
3 3 3 3 9 3 3
3 3 3 3 3 3 3
3 3 9 9 3 3 3
3 3 9 3 3 3 3
3 3 3 3 3 9 3
3 3 3 3 9 9 3
Output:
3 3 3 9 9 3 3
3 3 3 2 9 3 3
3 3 3 3 3 3 3
3 3 9 9 3 3 3
3 3 9 2 3 3 3
3 3 3 3 2 9 3
3 3 3 3 9 9 3
Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Your final answer should just be the text output grid itself.
Input:
9 9 3 3 3 3 3
3 9 3 3 3 3 3
3 3 3 9 9 3 3
3 3 3 9 3 3 3
9 3 3 3 3 3 3
9 9 3 3 3 3 9
3 3 3 3 3 9 9
|
rg
|
5
|
{"source_dataset": "maze", "source_index": 0, "grid_size": 9, "grid": [";;;;;;;;;", ";[[[[[[;;", ";[[|;[H;;", ";[[[[[[;;", ";;;[;[[;;", ";[;[;[;[;", ";[[[[[;[;", ";[[;[;[[;", ";;;;;;;;;"], "shortest_path_length": 5, "start": "|", "goal": "H", "wall": ";", "path": "[", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from '|' (start) to 'H' (goal):\n\n```\n;;;;;;;;;\n;[[[[[[;;\n;[[|;[H;;\n;[[[[[[;;\n;;;[;[[;;\n;[;[;[;[;\n;[[[[[;[;\n;[[;[;[[;\n;;;;;;;;;\n```\nLegend: ';' = Wall, '[' = Passage\n\nWhat is the minimum number of steps to reach the goal?\nGive only the number of steps as your final answer, no other text or formatting.", "_time": 0.0003476142883300781, "_task": "rg", "_level": 0}
|
Navigate from '|' (start) to 'H' (goal):
```
;;;;;;;;;
;[[[[[[;;
;[[|;[H;;
;[[[[[[;;
;;;[;[[;;
;[;[;[;[;
;[[[[[;[;
;[[;[;[[;
;;;;;;;;;
```
Legend: ';' = Wall, '[' = Passage
What is the minimum number of steps to reach the goal?
Give only the number of steps as your final answer, no other text or formatting.
|
rg
|
4
|
{"source_dataset": "gcd", "source_index": 0, "numbers": [876, 740], "result": 4, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 876, 740. Give only the GCD as your final answer.", "_time": 8.606910705566406e-05, "_task": "rg", "_level": 0}
|
Find the Greatest Common Divisor (GCD) of these numbers: 876, 740. Give only the GCD as your final answer.
|
rg
|
967828673.591
|
{"source_dataset": "number_format", "source_index": 0, "candidates": [967828673.591, 967828676.772], "solution": 967828673.591, "formatted_candidates": ["967828673.591000", "9.678286767720000e+08"], "size": "smallest", "num_candidates": 2, "difficulty": {"num_candidates": [2, 5], "n": [1000, 1000000000], "min_delta": 10.0}, "task_name": "RG.number_format", "_question": "Your task is to pick the largest/smallest number out of several options.\n\nYour output should be only the number of interest.\n\nNow, pick the smallest number of the following candidates: 967828673.591000 9.678286767720000e+08\n", "_time": 0.00011348724365234375, "_task": "rg", "_level": 0}
|
Your task is to pick the largest/smallest number out of several options.
Your output should be only the number of interest.
Now, pick the smallest number of the following candidates: 967828673.591000 9.678286767720000e+08
|
rg
|
_ _ _ _ _ Q _ _
_ _ _ _ _ _ _ Q
_ Q _ _ _ _ _ _
_ _ _ Q _ _ _ _
Q _ _ _ _ _ _ _
_ _ _ _ _ _ Q _
_ _ _ _ Q _ _ _
_ _ Q _ _ _ _ _
|
{"source_dataset": "n_queens", "source_index": 0, "puzzle": [["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "Q", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"]], "solutions": [[["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "Q"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "Q", "_", "_", "_", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "Q", "_"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"]]], "num_removed": 3, "valid_answers": ["_ _ _ _ _ Q _ _\n_ _ _ _ _ _ _ Q\n_ Q _ _ _ _ _ _\n_ _ _ Q _ _ _ _\nQ _ _ _ _ _ _ _\n_ _ _ _ _ _ Q _\n_ _ _ _ Q _ _ _\n_ _ Q _ _ _ _ _"], "difficulty": {"n": 8, "num_removed": [1, 7]}, "task_name": "RG.n_queens", "_question": "Your job is to complete an n x n chess board with n Queens in total, such that no two attack each other.\n\nNo two queens attack each other if they are not in the same row, column, or diagonal.\n\nYou can place a queen by replacing an underscore (_) with a Q.\n\nYour output should be also a board in the same format as the input, with queens placed on the board by replacing underscores with the letter Q.\n\nGiven the below board of size 8 x 8 your job is to place 3 queen(s) on the board such that no two queens attack each other.\n_ _ _ _ _ Q _ _\n_ _ _ _ _ _ _ _\n_ Q _ _ _ _ _ _\n_ _ _ _ _ _ _ _\nQ _ _ _ _ _ _ _\n_ _ _ _ _ _ Q _\n_ _ _ _ _ _ _ _\n_ _ Q _ _ _ _ _\n", "_time": 0.003930568695068359, "_task": "rg", "_level": 0}
|
Your job is to complete an n x n chess board with n Queens in total, such that no two attack each other.
No two queens attack each other if they are not in the same row, column, or diagonal.
You can place a queen by replacing an underscore (_) with a Q.
Your output should be also a board in the same format as the input, with queens placed on the board by replacing underscores with the letter Q.
Given the below board of size 8 x 8 your job is to place 3 queen(s) on the board such that no two queens attack each other.
_ _ _ _ _ Q _ _
_ _ _ _ _ _ _ _
_ Q _ _ _ _ _ _
_ _ _ _ _ _ _ _
Q _ _ _ _ _ _ _
_ _ _ _ _ _ Q _
_ _ _ _ _ _ _ _
_ _ Q _ _ _ _ _
|
rg
|
594
|
{"source_dataset": "lcm", "source_index": 0, "numbers": [22, 54], "result": 594, "difficulty": {"numbers": [2, 2], "value": [1, 100]}, "task_name": "RG.lcm", "_question": "Find the Least Common Multiple (LCM) of these numbers: 22, 54", "_time": 8.630752563476562e-05, "_task": "rg", "_level": 0}
|
Find the Least Common Multiple (LCM) of these numbers: 22, 54
|
rg
|
[[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,1,0,1,1],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]
|
{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,1,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,1,0,0,0,0,0,0,0,0],\n [1,0,0,0,0,0,0,1,0,1],\n [0,0,0,0,0,1,0,0,0,0],\n [0,0,0,0,0,1,0,0,0,1],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,1,0,0]].", "_time": 0.006755352020263672, "_task": "rg", "_level": 0}
|
What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])
[[0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,1,0,1],
[0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,1,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0]].
|
rg
|
29
|
{"task": "recurring_event_day", "year": 2022, "month": 1, "ordinal": "last", "weekday": "Saturday", "source_dataset": "calendar_arithmetic", "source_index": 0, "difficulty": {"tasks": ["weekday_offset", "weekday_of_date", "weekday_of_date_from_first_date", "recurring_event_day", "count_days", "count_business_days", "is_leap_year"], "offset_upper_bound": 100}, "task_name": "RG.calendar_arithmetic", "_question": "If a meeting is scheduled on the last Saturday of January 2022, on which day of the month does it occur? Give the count numerically. Answer with -1 if the ordinal does not exist in the month.", "_time": 0.0001690387725830078, "_task": "rg", "_level": 0}
|
If a meeting is scheduled on the last Saturday of January 2022, on which day of the month does it occur? Give the count numerically. Answer with -1 if the ordinal does not exist in the month.
|
rg
|
5.66249217282
|
{"source_dataset": "decimal_arithmetic", "source_index": 0, "decimal_places": 3, "num_terms": 2, "difficulty": {"decimal_places": [3, 3], "num_terms": [2, 6]}, "task_name": "RG.decimal_arithmetic", "_question": "Please solve this problem to a maximum of 12 significant digits, rounding up from the half. Only reply with the final value.\n(9.043/1.597) = ?", "_time": 0.00014781951904296875, "_task": "rg", "_level": 0}
|
Please solve this problem to a maximum of 12 significant digits, rounding up from the half. Only reply with the final value.
(9.043/1.597) = ?
|
rg
|
ALVINE
|
{"source_dataset": "figlet_font", "source_index": 0, "font": "z-pilot_", "space_letters": true, "difficulty": {"word_len": [3, 7]}, "task_name": "RG.figlet_font", "_question": "What word does this say?\n\n # ## ## ## ## ## ## ## ### \n ## ## ## ## ## ### ## ## ### \n ## ## ## ## ## ### ## ## \n ## ## ## # ## # ##### ## ### \n ## ## ## ## ## ## #### ## ### \n ## ## ## ### ## ## ### ## \n## #### ## ### # ## ## ## ## ### \n## ## ## ### # ## ## # ## ### \n", "_time": 0.15446257591247559, "_task": "rg", "_level": 0}
|
What word does this say?
# ## ## ## ## ## ## ## ###
## ## ## ## ## ### ## ## ###
## ## ## ## ## ### ## ##
## ## ## # ## # ##### ## ###
## ## ## ## ## ## #### ## ###
## ## ## ### ## ## ### ##
## #### ## ### # ## ## ## ## ###
## ## ## ### # ## ## # ## ###
|
rg
|
Raees
|
{"source_dataset": "needle_haystack", "source_index": 0, "question": "Who adores quantum physics? Reply only with a name.", "num_statements": 77, "difficulty": {"num_statements": [10, 100]}, "task_name": "RG.needle_haystack", "_question": "Raees adores quantum physics. Abel is keen on the color khaki. Nikos blasts rollerblades. Luke sneers at scrapbooking. Khizar esteems the color sienna. Zion mocks the color indigo. Yoji execrates muffins. Rorie spits on climbing. Salahudin longs for indie films. Keith disdains cleaning the garage. Marvellous likes the color khaki. Ireayomide glories in space exploration. Jonah enjoys adventure. Shaun-Thomas is devoted to cleaning the oven. Muzzammil spurns submarines. John disdains graffiti art. Ryder adores peacocks. Kiyonari finds joy in theatre. Kaan pines playing darts. Ryese is nuts about polishing the wood. Peiyan treasures parrots. Adil extols collecting coins. Phani champions alligators. Hamad derides filmmaking. Rafferty exalts the color turquoise. Kirwin spurns muffins. Kalin is crazy about the color black. Monty laments roadsters. Pawlo scoffs at painting miniatures. Marcel yearns for dancing tango. Marc-Anthony appreciates baking cakes. Kristofer esteems robotics. Alvin hates playing guitar. Finley adores modern dancing. Daood admires gliders. Kym rejoices in steak. Uri bears the color lime. Maddox idolizes patience. Dinaras is partial to comic books. Colum yearns playing tennis. Tyler-Jay execrates playing board games. Stefano celebrates playing golf. Jaiden extols popcorn. Krishan resents doing the laundry. Aryankhan spits on the color salmon. Zak can\u2019t bear crabs. Teodor longs for ice cream. Demetrius regrets modern dancing. Yakup applauds composting. Murray damns augmented reality. Fynn rejoices in ultimate frisbee. Abel relishes forklifts. Nyah stomachs trams. Munro abides the color yellow. Guy despises dancing. I eschews the color amber. Hareem yearns for ants. Niro waves away cooking dinner. Xida resents airplanes. Khalan yearns playing the harp. Uri endorses integrity. Gurveer begrudges horses. Keaton basks in pastries. Abdallah embraces embroidery. Keir yearns for cheesecake. Camron glorifies artificial intelligence. Nevin values burritos. Damon is nuts about gardening. Dane finds satisfaction in canoeing. Seth blasts coupe cars. Amir puts up with monkeys. Kodie endorses playing flute. Zayn commends collecting postcards. Jan bears the color lemon. Feden approves of exploring caves. Rhoan stomachs the color beige. Zeek longs for chocolate. \nWho adores quantum physics? Reply only with a name.", "_time": 0.00021767616271972656, "_task": "rg", "_level": 0}
|
Raees adores quantum physics. Abel is keen on the color khaki. Nikos blasts rollerblades. Luke sneers at scrapbooking. Khizar esteems the color sienna. Zion mocks the color indigo. Yoji execrates muffins. Rorie spits on climbing. Salahudin longs for indie films. Keith disdains cleaning the garage. Marvellous likes the color khaki. Ireayomide glories in space exploration. Jonah enjoys adventure. Shaun-Thomas is devoted to cleaning the oven. Muzzammil spurns submarines. John disdains graffiti art. Ryder adores peacocks. Kiyonari finds joy in theatre. Kaan pines playing darts. Ryese is nuts about polishing the wood. Peiyan treasures parrots. Adil extols collecting coins. Phani champions alligators. Hamad derides filmmaking. Rafferty exalts the color turquoise. Kirwin spurns muffins. Kalin is crazy about the color black. Monty laments roadsters. Pawlo scoffs at painting miniatures. Marcel yearns for dancing tango. Marc-Anthony appreciates baking cakes. Kristofer esteems robotics. Alvin hates playing guitar. Finley adores modern dancing. Daood admires gliders. Kym rejoices in steak. Uri bears the color lime. Maddox idolizes patience. Dinaras is partial to comic books. Colum yearns playing tennis. Tyler-Jay execrates playing board games. Stefano celebrates playing golf. Jaiden extols popcorn. Krishan resents doing the laundry. Aryankhan spits on the color salmon. Zak canβt bear crabs. Teodor longs for ice cream. Demetrius regrets modern dancing. Yakup applauds composting. Murray damns augmented reality. Fynn rejoices in ultimate frisbee. Abel relishes forklifts. Nyah stomachs trams. Munro abides the color yellow. Guy despises dancing. I eschews the color amber. Hareem yearns for ants. Niro waves away cooking dinner. Xida resents airplanes. Khalan yearns playing the harp. Uri endorses integrity. Gurveer begrudges horses. Keaton basks in pastries. Abdallah embraces embroidery. Keir yearns for cheesecake. Camron glorifies artificial intelligence. Nevin values burritos. Damon is nuts about gardening. Dane finds satisfaction in canoeing. Seth blasts coupe cars. Amir puts up with monkeys. Kodie endorses playing flute. Zayn commends collecting postcards. Jan bears the color lemon. Feden approves of exploring caves. Rhoan stomachs the color beige. Zeek longs for chocolate.
Who adores quantum physics? Reply only with a name.
|
rg
|
[0]
|
{"source_dataset": "list_functions", "source_index": 0, "task_name": "RG.list_functions", "_question": "You are an expert at inductive reasoning. Generate an output corresponding to the given input.\nThe output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements\nExamples:\nInput 1: [1465]\nOutput 1: [0]\nInput 2: [630]\nOutput 2: [1]\nInput 3: [4725]\nOutput 3: [0]\nInput 4: [590]\nOutput 4: [1]\n\n\nInput: [3875]\nOutput:\n", "_time": 0.00012803077697753906, "_task": "rg", "_level": 0}
|
You are an expert at inductive reasoning. Generate an output corresponding to the given input.
The output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements
Examples:
Input 1: [1465]
Output 1: [0]
Input 2: [630]
Output 2: [1]
Input 3: [4725]
Output 3: [0]
Input 4: [590]
Output 4: [1]
Input: [3875]
Output:
|
rg
|
None
|
{"source_dataset": "rush_hour", "source_index": 0, "board_config": "BBooIoEFooIJEFAAIJoGCCCooGHoooDDHooo", "min_moves": 14, "difficulty": {"moves": [1, 50]}, "task_name": "RG.rush_hour", "_question": "Move the red car (AA) to the exit on the right.\nSpecify moves in the format: 'F+1 K+1 M-1 C+3 H+2 ...'\nwhere the letter is the vehicle and +/- number is spaces to move right/left or down/up.\nWalls are marked with an 'x'. Cars cannot move through walls, and walls cannot be moved.\nA car oriented vertically can only move up and down, a car oriented horizontally can only move left and right.\n\nBoard:\nBB..I.\nEF..IJ\nEFAAIJ\n.GCCC.\n.GH...\nDDH...\n", "_time": 0.008921384811401367, "_task": "rg", "_level": 0}
|
Move the red car (AA) to the exit on the right.
Specify moves in the format: 'F+1 K+1 M-1 C+3 H+2 ...'
where the letter is the vehicle and +/- number is spaces to move right/left or down/up.
Walls are marked with an 'x'. Cars cannot move through walls, and walls cannot be moved.
A car oriented vertically can only move up and down, a car oriented horizontally can only move left and right.
Board:
BB..I.
EF..IJ
EFAAIJ
.GCCC.
.GH...
DDH...
|
rg
|
None
|
{"source_dataset": "propositional_logic", "source_index": 0, "premises": ["((Q \u2228 P) \u2227 (P \u2194 P))", "Q", "Q", "(P \u2228 P)"], "variables": ["P", "Q"], "complexity": 4, "example_answer": "(\u00acQ \u2228 P)", "difficulty": {"vars": [2, 4], "statements": [2, 4], "complexity": [1, 3]}, "task_name": "RG.propositional_logic", "_question": "The following question is a propositional logic reasoning question.\n\nIn the question we provide a list of premises. The task is to infer a correct conclusion from the premise.\n\nFORMAT INSTRUCTIONS:\n- Return the conclusion logic statement, as your final answer.\n- Use the following notation to denote symbols\n - OR = \u2228\n - AND = \u2227\n - IMPLIES = \u2192\n - IFF = \u2194\n - NOT = \u00ac\n\nHere is the question:\nGiven:\n1. ((Q \u2228 P) \u2227 (P \u2194 P))\n.2. Q\n.3. Q\n.4. (P \u2228 P)\n.What can we conclude from the above statements?", "_time": 0.00016641616821289062, "_task": "rg", "_level": 0}
|
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = β¨
- AND = β§
- IMPLIES = β
- IFF = β
- NOT = Β¬
Here is the question:
Given:
1. ((Q β¨ P) β§ (P β P))
.2. Q
.3. Q
.4. (P β¨ P)
.What can we conclude from the above statements?
|
rg
|
5 8 3 4 8 2 1 7 5
|
{"source_dataset": "spiral_matrix", "source_index": 0, "matrix": [[5, 8, 3], [7, 5, 4], [1, 2, 8]], "solution": [5, 8, 3, 4, 8, 2, 1, 7, 5], "n": 3, "difficulty": {"n": [2, 10]}, "task_name": "RG.spiral_matrix", "_question": "Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element.\n\nThe spiral order is clockwise, starting from the top-left corner. More precisely:\n- Start from the top-left corner and move right.\n- Move down towards the bottom-right corner.\n- Move left towards the bottom-left corner.\n- Move up towards the top-right corner.\n- Repeat the steps for the inner elements of the matrix until every entry is visited.\n\nYour output should be a space-separated list of integers, e.g. 1 2 3 4 5 6\n\nFor the matrix below, what is the list of elements in spiral order?\n5 8 3\n7 5 4\n1 2 8\n", "_time": 0.0001201629638671875, "_task": "rg", "_level": 0}
|
Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element.
The spiral order is clockwise, starting from the top-left corner. More precisely:
- Start from the top-left corner and move right.
- Move down towards the bottom-right corner.
- Move left towards the bottom-left corner.
- Move up towards the top-right corner.
- Repeat the steps for the inner elements of the matrix until every entry is visited.
Your output should be a space-separated list of integers, e.g. 1 2 3 4 5 6
For the matrix below, what is the list of elements in spiral order?
5 8 3
7 5 4
1 2 8
|
rg
|
None
|
{"source_dataset": "graph_color", "source_index": 0, "possible_answer": {"0": 1, "1": 1, "2": 2, "3": 1, "4": 1, "5": 1, "6": 1, "7": 1, "8": 1, "9": 2}, "puzzle": {"vertices": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "edges": [[0, 2], [0, 9]], "num_colors": 3, "color_options": [1, 2, 3]}, "num_vertices": 10, "difficulty": {"num_vertices": [10, 10], "num_colors": 3}, "task_name": "RG.graph_color", "_question": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 2), (0, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colors. (For example: {\"0\": 1, \"1\": 2, \"2\": 3}.)\n", "_time": 0.00013375282287597656, "_task": "rg", "_level": 0}
|
Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 2), (0, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "1": 2, "2": 3}.)
|
rg
|
2
|
{"source_dataset": "self_reference", "source_index": 0, "difficulty": {"difficulty": 5}, "task_name": "RG.self_reference", "_question": "Given the truthfulness of these statements, please tell me the number of possible solutions: \n - Statement 1: 'At least 5 of these 7 statements are true.'\n - Statement 2: 'At most 2 of these 7 statements are false.'\n - Statement 3: 'Exactly 6 of these 7 statements are true.'\n - Statement 4: 'Exactly 4 of these 7 statements are false.'\n - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'\n - Statement 6: 'The number of true statements is a prime number.'\n - Statement 7: 'The number of false statements is a composite number.'\n", "_time": 0.0001933574676513672, "_task": "rg", "_level": 0}
|
Given the truthfulness of these statements, please tell me the number of possible solutions:
- Statement 1: 'At least 5 of these 7 statements are true.'
- Statement 2: 'At most 2 of these 7 statements are false.'
- Statement 3: 'Exactly 6 of these 7 statements are true.'
- Statement 4: 'Exactly 4 of these 7 statements are false.'
- Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'
- Statement 6: 'The number of true statements is a prime number.'
- Statement 7: 'The number of false statements is a composite number.'
|
rg
|
81
|
{"source_dataset": "products", "source_index": 0, "expression": "9 * 9", "num_terms": 2, "num_digits": 1, "difficulty": {"num_terms": [2, 2], "num_digits": [1, 5]}, "task_name": "RG.products", "_question": "Solve the following multiplication: 9 * 9. Give only the result as your final answer.", "_time": 8.630752563476562e-05, "_task": "rg", "_level": 0}
|
Solve the following multiplication: 9 * 9. Give only the result as your final answer.
|
rg
|
544375659.139
|
{"source_dataset": "number_format", "source_index": 0, "candidates": [544375649.19, 544375653.746, 544375659.139, 544375639.955, 544375644.0450001], "solution": 544375659.139, "formatted_candidates": ["544375649.190000", "544,375,653.746", "544375659.139000", "544375639.955000", "544,375,644.0450001"], "size": "largest", "num_candidates": 5, "difficulty": {"num_candidates": [2, 5], "n": [1000, 1000000000], "min_delta": 10.0}, "task_name": "RG.number_format", "_question": "Your task is to pick the largest/smallest number out of several options.\n\nYour output should be only the number of interest.\n\nNow, pick the largest number of the following candidates: 544375649.190000 544,375,653.746 544375659.139000 544375639.955000 544,375,644.0450001\n", "_time": 0.0001266002655029297, "_task": "rg", "_level": 0}
|
Your task is to pick the largest/smallest number out of several options.
Your output should be only the number of interest.
Now, pick the largest number of the following candidates: 544375649.190000 544,375,653.746 544375659.139000 544375639.955000 544,375,644.0450001
|
rg
|
[["antemedial", "delaminate"], ["berating", "rebating", "tabering"], ["camelion", "manicole"], ["chlorioninae", "rhinocoelian"], ["genua", "nugae"], ["internee", "retinene"], ["irredenta", "retainder", "retrained"], ["limbat", "timbal"], ["minder", "remind"], ["stanhopes", "stephanos"]]
|
{"source_dataset": "group_anagrams", "source_index": 0, "words": ["stanhopes", "stephanos", "antemedial", "delaminate", "manicole", "camelion", "internee", "retinene", "tabering", "rebating", "berating", "limbat", "timbal", "retainder", "retrained", "irredenta", "remind", "minder", "genua", "nugae", "rhinocoelian", "chlorioninae"], "solution": [["antemedial", "delaminate"], ["berating", "rebating", "tabering"], ["camelion", "manicole"], ["chlorioninae", "rhinocoelian"], ["genua", "nugae"], ["internee", "retinene"], ["irredenta", "retainder", "retrained"], ["limbat", "timbal"], ["minder", "remind"], ["stanhopes", "stephanos"]], "anagram_groups": 10, "difficulty": {"anagram_groups": [2, 10], "words_per_group": [2, 5]}, "task_name": "RG.group_anagrams", "_question": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [[\"eat\", \"tea\"], [\"tan\", \"nat\"]].\n\nGroup the following list of words into anagrams:\n[\"stanhopes\", \"stephanos\", \"antemedial\", \"delaminate\", \"manicole\", \"camelion\", \"internee\", \"retinene\", \"tabering\", \"rebating\", \"berating\", \"limbat\", \"timbal\", \"retainder\", \"retrained\", \"irredenta\", \"remind\", \"minder\", \"genua\", \"nugae\", \"rhinocoelian\", \"chlorioninae\"]\n", "_time": 0.3324723243713379, "_task": "rg", "_level": 0}
|
An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"], ["tan", "nat"]].
Group the following list of words into anagrams:
["stanhopes", "stephanos", "antemedial", "delaminate", "manicole", "camelion", "internee", "retinene", "tabering", "rebating", "berating", "limbat", "timbal", "retainder", "retrained", "irredenta", "remind", "minder", "genua", "nugae", "rhinocoelian", "chlorioninae"]
|
rg
|
9.0 + 10.0i
|
{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [0.0, 0.0], "num2": [-9.0, -10.0], "operation": "-", "result": [9, 10], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}, "task_name": "RG.complex_arithmetic", "_question": "Subtract the complex numbers: (0.00) - (-9.0 - 10.0i)", "_time": 0.0001049041748046875, "_task": "rg", "_level": 0}
|
Subtract the complex numbers: (0.00) - (-9.0 - 10.0i)
|
rg
|
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