answer
stringlengths 1
7.74k
| metadata
stringlengths 285
15.6k
| prompt
stringlengths 13
10.6k
| task
stringclasses 1
value |
|---|---|---|---|
cnxgffgxnc
|
{"source_dataset": "palindrome_generation", "source_index": 0, "letters": ["x", "f", "x", "g", "c", "g", "f", "n", "n", "c"], "generated_palindrome": "cnxgffgxnc", "length": 10, "difficulty": {"length": [3, 10]}, "task_name": "RG.palindrome_generation", "_question": "Your task is, given a list of letters, to form a valid palindrome.\n\nA palindrome is a phrase that reads the same forwards and backwards.\n\nIf there are multiple possible answers, only respond with one of them. You must use all the letters provided.\n\nYour output should be a single string, with no spaces or punctuation.\n\nNow, form a valid palindrome using the following letters: x, f, x, g, c, g, f, n, n, c\n", "_time": 9.846687316894531e-05, "_task": "rg", "_level": 0}
|
Your task is, given a list of letters, to form a valid palindrome.
A palindrome is a phrase that reads the same forwards and backwards.
If there are multiple possible answers, only respond with one of them. You must use all the letters provided.
Your output should be a single string, with no spaces or punctuation.
Now, form a valid palindrome using the following letters: x, f, x, g, c, g, f, n, n, c
|
rg
|
IT EXISTS BECAUSE OF THE EFFORTS OF HUNDREDS OF VOLUNTEERS AND DONATIONS FROM PEOPLE IN ALL WALKS OF LIFE
|
{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 7, "cipher_text": "PA LEPZAZ ILJHBZL VM AOL LMMVYAZ VM OBUKYLKZ VM CVSBUALLYZ HUK KVUHAPVUZ MYVT WLVWSL PU HSS DHSRZ VM SPML", "clear_text": "IT EXISTS BECAUSE OF THE EFFORTS OF HUNDREDS OF VOLUNTEERS AND DONATIONS FROM PEOPLE IN ALL WALKS OF LIFE", "num_words": 19, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: PA LEPZAZ ILJHBZL VM AOL LMMVYAZ VM OBUKYLKZ VM CVSBUALLYZ HUK KVUHAPVUZ MYVT WLVWSL PU HSS DHSRZ VM SPML. Provide only the decrypted text as your final answer.", "_time": 0.0017621517181396484, "_task": "rg", "_level": 0}
|
Decrypt this Caesar cipher text: PA LEPZAZ ILJHBZL VM AOL LMMVYAZ VM OBUKYLKZ VM CVSBUALLYZ HUK KVUHAPVUZ MYVT WLVWSL PU HSS DHSRZ VM SPML. Provide only the decrypted text as your final answer.
|
rg
|
1 0 1 0 0 0 1 1 0
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[2, 1, 4, 0, 0, 0, 0, 0, 0], [1, 0, 3, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 0]], "solution": [1, 0, 1, 0, 0, 0, 1, 1, 0], "initial_blocks": [2, 1, 4], "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], 1 [B], and 4 [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": 0.00011229515075683594, "_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], 1 [B], and 4 [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
|
0.0
|
{"source_dataset": "polynomial_equations", "source_index": 0, "polynomial_expr": "-83*t", "variable": "t", "degree": 1, "real_solutions": [0.0], "num_terms": 2, "difficulty": {"terms": [2, 4], "degree": [1, 3]}, "task_name": "RG.polynomial_equations", "_question": "Solve the polynomial equation for real t:\n-83*t = 0\nIn solving equations, please follow these instructions:\n1. Provide all answers as comma-separated decimal values. For example: \"-0.3773, 0.4005\"\n2. For solutions that can be expressed in exact form (like \"u = 2 + sqrt(4560)/172\" and \"u = 2 - sqrt(4560)/172\"), convert them to decimal form in your final answer.\n3. If there are no real values that satisfy the equation, report your answer as an empty string: \"\"\n4. Format your answer based on the number of solutions:\n - For 1 solution: a single decimal number\n - For 2 solutions: two comma-separated decimal numbers\n - For 3 or more solutions: all values as comma-separated decimal numbers\n5. Round all decimal values to 4 decimal places (rounding down when the 5th decimal place is 5 or greater).\n", "_time": 0.0019986629486083984, "_task": "rg", "_level": 0}
|
Solve the polynomial equation for real t:
-83*t = 0
In solving equations, please follow these instructions:
1. Provide all answers as comma-separated decimal values. For example: "-0.3773, 0.4005"
2. For solutions that can be expressed in exact form (like "u = 2 + sqrt(4560)/172" and "u = 2 - sqrt(4560)/172"), convert them to decimal form in your final answer.
3. If there are no real values that satisfy the equation, report your answer as an empty string: ""
4. Format your answer based on the number of solutions:
- For 1 solution: a single decimal number
- For 2 solutions: two comma-separated decimal numbers
- For 3 or more solutions: all values as comma-separated decimal numbers
5. Round all decimal values to 4 decimal places (rounding down when the 5th decimal place is 5 or greater).
|
rg
|
54 + 31 - 20 + 36
|
{"source_dataset": "countdown", "source_index": 0, "numbers": [54, 20, 36, 31], "target": 101, "expression": "54 + 31 - 20 + 36", "difficulty": {"numbers": [4, 6], "target": [100, 999], "value": [1, 100]}, "task_name": "RG.countdown", "_question": "Calculate 101 using all of these numbers: 54, 20, 36, 31.\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": 0.005678892135620117, "_task": "rg", "_level": 0}
|
Calculate 101 using all of these numbers: 54, 20, 36, 31.
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
|
5
|
{"source_dataset": "maze", "source_index": 0, "grid_size": 8, "grid": ["||||||||", "|}|}}}||", "|}}||}}|", "|}}}}}}|", "|}}|}}||", "|}K}|W}|", "|}}}}}||", "||||||||"], "shortest_path_length": 5, "start": "W", "goal": "K", "wall": "|", "path": "}", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from 'W' (start) to 'K' (goal):\n\n```\n||||||||\n|}|}}}||\n|}}||}}|\n|}}}}}}|\n|}}|}}||\n|}K}|W}|\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": 0.00019812583923339844, "_task": "rg", "_level": 0}
|
Navigate from 'W' (start) to 'K' (goal):
```
||||||||
|}|}}}||
|}}||}}|
|}}}}}}|
|}}|}}||
|}K}|W}|
|}}}}}||
||||||||
```
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
|
-2*x**10 - 10*x**2/7 + C
|
{"source_dataset": "simple_integration", "source_index": 0, "integrand": "-20*x**9 - 20*x/7", "variable": "x", "num_terms": 2, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Calculate the antiderivative: \u222b -20*x**9 - 20*x/7 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": 0.004099607467651367, "_task": "rg", "_level": 0}
|
Calculate the antiderivative: ∫ -20*x**9 - 20*x/7 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 1 1 0 0 0 1
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[1, 4, 5, 0, 0, 0, 0, 0, 0], [0, 3, 4, 1, 0, 0, 0, 0, 0], [0, 2, 3, 1, 1, 0, 0, 0, 0], [0, 1, 2, 1, 2, 0, 0, 0, 0], [0, 0, 1, 1, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 1]], "solution": [0, 0, 1, 1, 1, 0, 0, 0, 1], "initial_blocks": [1, 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 1 [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": 0.0001308917999267578, "_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 1 [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
|
None
|
{"source_dataset": "rubiks_cube", "source_index": 0, "cube_size": 3, "scramble_steps": 7, "scramble_moves": "L B B L D R' B'", "example_correct_answer": "B' U U L L D' L D U' R R U R U' R' F' U U F B U' B' L U L' U B' U U B L' U U L U R U' R' U' F' U F U L' U L U F U' F' U L U' L' U' B' U B U' U' F' U F U R U' R' B U' B' U' R' U R U' B' U B U L U' L' U B' U B U L U' L' U F R U R' U' F' U R U R' U R U U R' U' R U R' U R U U R' U' B U' F' U B' U' F U B U' F' U B' U' F U R' D' R D R' D' R D U U R' D' R D R' D' R D R' D' R D R' D' R D U", "difficulty": {"cube_size": 3, "scramble_steps": [3, 10]}, "task_name": "RG.rubiks_cube", "_question": "You are given a 3x3x3 Rubik's cube. It looks like this:\n\n W R O \n B Y W \n B Y W \n B O O W G G R R B Y G R \n W R R B G Y O O W B B O \n R B G R R Y O O O W W Y \n Y Y G \n Y W G \n B G G \n \n\nPlease provide a solution to solve this cube using Singmaster notation. Do not combine any steps, for instance, do not write 'U2', and instead write 'U U'.", "_time": 0.013627052307128906, "_task": "rg", "_level": 0}
|
You are given a 3x3x3 Rubik's cube. It looks like this:
W R O
B Y W
B Y W
B O O W G G R R B Y G R
W R R B G Y O O W B B O
R B G R R Y O O O W W Y
Y Y G
Y W G
B G G
Please provide a solution to solve this cube using Singmaster notation. Do not combine any steps, for instance, do not write 'U2', and instead write 'U U'.
|
rg
|
15.755416
|
{"source_dataset": "decimal_arithmetic", "source_index": 0, "decimal_places": 3, "num_terms": 6, "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(4.576+7.977-2.012)-0.048*4.783+5.444 = ?", "_time": 0.00018167495727539062, "_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.
(4.576+7.977-2.012)-0.048*4.783+5.444 = ?
|
rg
|
0 0 1 3 0 3
|
{"source_dataset": "string_splitting", "source_index": 0, "states": [[2, 4, 3, 0, 0, 0], [1, 4, 3, 2, 1, 0], [0, 4, 3, 4, 2, 0], [0, 2, 3, 5, 2, 0], [0, 0, 3, 6, 2, 0], [0, 0, 1, 6, 3, 0], [0, 0, 1, 5, 2, 1], [0, 0, 1, 4, 1, 2], [0, 0, 1, 3, 0, 3]], "solution": [0, 0, 1, 3, 0, 3], "initial_machines": [2, 4, 3], "difficulty": {"initial_machines": [0, 5]}, "task_name": "RG.string_splitting", "_question": "There is a dismantling engineer who has old machines A, B, and C.\nHe discovered that he can obtain a batch of new parts X, Y, Z through the following rules:\n1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.\n2. Two units of machine B can be dismanteled into one unit of part X.\n3. Two units of machine C can be dismanteled into one unit of part Y.\n4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.\n5. One unit of part X and one unit of part Y can be combined into one unit of part Z.\n\nGiven a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.\nAfter you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.\n\nThe output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.\nFor example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.\n\nNow, you have 2 machine A, 4 machine B, and 3 machine C. Provide the count of each machine and part 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 of each machine and part type.\n", "_time": 0.0001251697540283203, "_task": "rg", "_level": 0}
|
There is a dismantling engineer who has old machines A, B, and C.
He discovered that he can obtain a batch of new parts X, Y, Z through the following rules:
1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.
2. Two units of machine B can be dismanteled into one unit of part X.
3. Two units of machine C can be dismanteled into one unit of part Y.
4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.
5. One unit of part X and one unit of part Y can be combined into one unit of part Z.
Given a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.
After you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.
The output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.
For example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.
Now, you have 2 machine A, 4 machine B, and 3 machine C. Provide the count of each machine and part 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 of each machine and part type.
|
rg
|
6 2 1
7 5 7
7 4 2
|
{"source_dataset": "rotate_matrix", "source_index": 0, "matrix": [[6, 2, 1], [7, 5, 7], [7, 4, 2]], "num_rotations": 0, "solution": [[6, 2, 1], [7, 5, 7], [7, 4, 2]], "n": 3, "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 0 degrees clockwise:\n6 2 1\n7 5 7\n7 4 2\n", "_time": 0.00012254714965820312, "_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 0 degrees clockwise:
6 2 1
7 5 7
7 4 2
|
rg
|
Addressing one of these authors who was waiting his turn, "Capital!
|
{"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: of these who waiting was turn, authors Addressing \"Capital! his one", "_time": 0.0038022994995117188, "_task": "rg", "_level": 0}
|
Restore the correct order of words in the following sentence: of these who waiting was turn, authors Addressing "Capital! his one
|
rg
|
5
|
{"source_dataset": "maze", "source_index": 0, "grid_size": 8, "grid": ["////////", "/7777/7/", "/77/773/", "/7777///", "//7+/77/", "/77/77//", "///777//", "////////"], "shortest_path_length": 5, "start": "+", "goal": "3", "wall": "/", "path": "7", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from '+' (start) to '3' (goal):\n\n```\n////////\n/7777/7/\n/77/773/\n/7777///\n//7+/77/\n/77/77//\n///777//\n////////\n```\nLegend: '/' = Wall, '7' = 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": 0.0001430511474609375, "_task": "rg", "_level": 0}
|
Navigate from '+' (start) to '3' (goal):
```
////////
/7777/7/
/77/773/
/7777///
//7+/77/
/77/77//
///777//
////////
```
Legend: '/' = Wall, '7' = 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
|
16
|
{"source_dataset": "count_bits", "source_index": 0, "number": 1121734099, "solution": 16, "binary": "1000010110111000100110111010011", "n": 1121734099, "difficulty": {"n": [1, 2147483647]}, "task_name": "RG.count_bits", "_question": "How many 1 bits are there in the binary representation of the number 1121734099?", "_time": 8.988380432128906e-05, "_task": "rg", "_level": 0}
|
How many 1 bits are there in the binary representation of the number 1121734099?
|
rg
|
32
|
{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 5, "known_angles": [147.0, 153.0, 135.0, 73.0], "sum_of_known_angles": 508.0, "missing_angle_raw": 32.0, "missing_angle_rounded": 32, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}, "task_name": "RG.simple_geometry", "_question": "Given a convex polygon with 5 sides, its first 4 interior angles are: 147.0\u00b0, 153.0\u00b0, 135.0\u00b0, 73.0\u00b0. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.", "_time": 0.00011897087097167969, "_task": "rg", "_level": 0}
|
Given a convex polygon with 5 sides, its first 4 interior angles are: 147.0°, 153.0°, 135.0°, 73.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
|
rg
|
00:03:46
|
{"source_dataset": "time_intervals", "source_index": 0, "task_type": "time_seconds", "start_time": "2025-10-23 20:43:23", "end_time": "2025-10-23 20:47:09", "format": "%H:%M:%S", "expected_format": "HH:MM:SS", "difficulty": {"max_time_difference_seconds": 86400, "max_date_difference_days": 100}, "task_name": "RG.time_intervals", "_question": "A conference call began at 20:43:23 and ended at 20:47:09. How long was the conference? Answer in HH:MM:SS.", "_time": 0.00029277801513671875, "_task": "rg", "_level": 0}
|
A conference call began at 20:43:23 and ended at 20:47:09. How long was the conference? Answer in HH:MM:SS.
|
rg
|
True
|
{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["ovf", "ijs"], "solution": true, "solvable": true, "string_length": 4, "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:\novf ijs\n", "_time": 0.00011706352233886719, "_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:
ovf ijs
|
rg
|
" "Only passably good.
|
{"source_dataset": "sentence_reordering", "source_index": 0, "word_count": 3, "difficulty": {"words_in_sentence": [3, 20]}, "task_name": "RG.sentence_reordering", "_question": "Restore the correct order of words in the following sentence: \" good. \"Only passably", "_time": 0.00262451171875, "_task": "rg", "_level": 0}
|
Restore the correct order of words in the following sentence: " good. "Only passably
|
rg
|
0 1 0 3 0 5
|
{"source_dataset": "string_splitting", "source_index": 0, "states": [[4, 1, 2, 0, 0, 0], [3, 1, 2, 2, 1, 0], [2, 1, 2, 4, 2, 0], [1, 1, 2, 6, 3, 0], [0, 1, 2, 8, 4, 0], [0, 1, 0, 8, 5, 0], [0, 1, 0, 7, 4, 1], [0, 1, 0, 6, 3, 2], [0, 1, 0, 5, 2, 3], [0, 1, 0, 4, 1, 4], [0, 1, 0, 3, 0, 5]], "solution": [0, 1, 0, 3, 0, 5], "initial_machines": [4, 1, 2], "difficulty": {"initial_machines": [0, 5]}, "task_name": "RG.string_splitting", "_question": "There is a dismantling engineer who has old machines A, B, and C.\nHe discovered that he can obtain a batch of new parts X, Y, Z through the following rules:\n1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.\n2. Two units of machine B can be dismanteled into one unit of part X.\n3. Two units of machine C can be dismanteled into one unit of part Y.\n4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.\n5. One unit of part X and one unit of part Y can be combined into one unit of part Z.\n\nGiven a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.\nAfter you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.\n\nThe output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.\nFor example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.\n\nNow, you have 4 machine A, 1 machine B, and 2 machine C. Provide the count of each machine and part 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 of each machine and part type.\n", "_time": 0.0001220703125, "_task": "rg", "_level": 0}
|
There is a dismantling engineer who has old machines A, B, and C.
He discovered that he can obtain a batch of new parts X, Y, Z through the following rules:
1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.
2. Two units of machine B can be dismanteled into one unit of part X.
3. Two units of machine C can be dismanteled into one unit of part Y.
4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.
5. One unit of part X and one unit of part Y can be combined into one unit of part Z.
Given a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.
After you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.
The output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.
For example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.
Now, you have 4 machine A, 1 machine B, and 2 machine C. Provide the count of each machine and part 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 of each machine and part type.
|
rg
|
Seonaidh
|
{"source_dataset": "needle_haystack", "source_index": 0, "question": "Who is devoted to ironing clothes? Reply only with a name.", "num_statements": 71, "difficulty": {"num_statements": [10, 100]}, "task_name": "RG.needle_haystack", "_question": "Zijie covets hot dogs. Arunas enjoys bulldozers. Zi derides bees. Turki likes alligators. Aarron ignores playing lacrosse. Diesil esteems doing the laundry. Marvin appreciates bird photography. Alber glories in space exploration. Greg lusts after ultimate frisbee. Shreeram is committed to cleaning the bathroom. Santino dislikes playing badminton. Josef is committed to diving. Cahl endures the color violet. Rossi spurns brewing beer. Tian savors reading mystery novels. Abbas bemoans cats. Klevis approves of convertible cars. Zidane champions pasta. Jaheim is addicted to salsa. Conan longs for vintage cars. Cormack disdains the color salmon. Daimhin extols jazz dancing. Heidar tolerates ethics. Athon pines for canoes. Wilson deifies cocktails. Pablo idolizes technology. Abaan is addicted to playing ping pong. Ajayraj basks in manga. Denny eschews the color navy. Bret craves playing piano. Kenzo begrudges listening to blues. Lionel is partial to economics. Conrad abhors machine learning. Elisau idolizes waffles. Lauchlan overlooks adventure. Aiadan is crazy about sailing. Preston rejoices in visiting historical sites. Flyn execrates knitting. Jostelle fancies sandwich. Kurtis spurns minimalism. Chiron bears rearranging the furniture. Deon can\u2019t bear playing ice hockey. Harris worships the color peach. Konan glories in wisdom. Nicholas is keen on crocheting. Mikey values politics. Caedyn sneers at performing magic. Klein is nuts about dancing salsa. Munachi damns playing the cello. Filip neglects yoga. Cruiz glorifies ice skating. Kadin adores the color gold. Deegan complains about acting. Emmet loathes listening to electronic music. Calen idolizes the color mocha. Saul rejoices in the color lemon. Caine mocks playing drums. Bennett extols reading fantasy novels. Maksim scorns playing handball. Amgad values archaeology. Donnacha eschews cats. Daryl brushes off gardening. Zainedin loathes mystery. Kaden begrudges steak. Jakob begrudges sailboats. Seonaidh is devoted to ironing clothes. Vithujan loathes the color tan. Bogdan adores modern dance. Mati abides experimental theater. Brett admires building model airplanes. Caileb-John begrudges wolves. \nWho is devoted to ironing clothes? Reply only with a name.", "_time": 0.0002048015594482422, "_task": "rg", "_level": 0}
|
Zijie covets hot dogs. Arunas enjoys bulldozers. Zi derides bees. Turki likes alligators. Aarron ignores playing lacrosse. Diesil esteems doing the laundry. Marvin appreciates bird photography. Alber glories in space exploration. Greg lusts after ultimate frisbee. Shreeram is committed to cleaning the bathroom. Santino dislikes playing badminton. Josef is committed to diving. Cahl endures the color violet. Rossi spurns brewing beer. Tian savors reading mystery novels. Abbas bemoans cats. Klevis approves of convertible cars. Zidane champions pasta. Jaheim is addicted to salsa. Conan longs for vintage cars. Cormack disdains the color salmon. Daimhin extols jazz dancing. Heidar tolerates ethics. Athon pines for canoes. Wilson deifies cocktails. Pablo idolizes technology. Abaan is addicted to playing ping pong. Ajayraj basks in manga. Denny eschews the color navy. Bret craves playing piano. Kenzo begrudges listening to blues. Lionel is partial to economics. Conrad abhors machine learning. Elisau idolizes waffles. Lauchlan overlooks adventure. Aiadan is crazy about sailing. Preston rejoices in visiting historical sites. Flyn execrates knitting. Jostelle fancies sandwich. Kurtis spurns minimalism. Chiron bears rearranging the furniture. Deon can’t bear playing ice hockey. Harris worships the color peach. Konan glories in wisdom. Nicholas is keen on crocheting. Mikey values politics. Caedyn sneers at performing magic. Klein is nuts about dancing salsa. Munachi damns playing the cello. Filip neglects yoga. Cruiz glorifies ice skating. Kadin adores the color gold. Deegan complains about acting. Emmet loathes listening to electronic music. Calen idolizes the color mocha. Saul rejoices in the color lemon. Caine mocks playing drums. Bennett extols reading fantasy novels. Maksim scorns playing handball. Amgad values archaeology. Donnacha eschews cats. Daryl brushes off gardening. Zainedin loathes mystery. Kaden begrudges steak. Jakob begrudges sailboats. Seonaidh is devoted to ironing clothes. Vithujan loathes the color tan. Bogdan adores modern dance. Mati abides experimental theater. Brett admires building model airplanes. Caileb-John begrudges wolves.
Who is devoted to ironing clothes? Reply only with a name.
|
rg
|
left left down left left left down down
|
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["O", "X", "X", "O", "O", "O", "*", "O"], ["O", "O", "O", "O", "O", "X", "O", "O"], ["O", "O", "X", "O", "O", "O", "O", "X"], ["X", "#", "O", "X", "O", "O", "O", "X"], ["X", "X", "O", "X", "O", "X", "O", "X"], ["X", "O", "X", "O", "X", "O", "X", "X"]], "solution": ["left", "left", "down", "left", "left", "left", "down", "down"], "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 X O O O * O\nO O O O O X O O\nO O X O O O O X\nX # O X O O O X\nX X O X O X O X\nX O X O X O X X\n", "_time": 0.00028061866760253906, "_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 X O O O * O
O O O O O X O O
O O X O O O O X
X # O X O O O X
X X O X O X O X
X O X O X O X X
|
rg
|
place, individual, Cooley, and, Finally, for, modern, obtained
|
{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 8, "words": ["obtained", "modern", "for", "Finally", "and", "Cooley", "individual", "place"], "difficulty": {"words": [3, 8]}, "task_name": "RG.word_sequence_reversal", "_question": "Solve the following problem.\n\nProvide you answer as a comma-separated list of words with a space after the comma.\n\nReverse this list of words: obtained, modern, for, Finally, and, Cooley, individual, place\n", "_time": 0.002348184585571289, "_task": "rg", "_level": 0}
|
Solve the following problem.
Provide you answer as a comma-separated list of words with a space after the comma.
Reverse this list of words: obtained, modern, for, Finally, and, Cooley, individual, place
|
rg
|
_ _ _ _ _ _ Q _
_ _ Q _ _ _ _ _
Q _ _ _ _ _ _ _
_ _ _ _ _ Q _ _
_ _ _ _ _ _ _ Q
_ _ _ _ Q _ _ _
_ Q _ _ _ _ _ _
_ _ _ Q _ _ _ _
|
{"source_dataset": "n_queens", "source_index": 0, "puzzle": [["_", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "Q"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"]], "solutions": [[["_", "_", "_", "_", "_", "_", "Q", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "Q"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "Q", "_", "_", "_", "_"]]], "num_removed": 2, "valid_answers": ["_ _ _ _ _ _ Q _\n_ _ Q _ _ _ _ _\nQ _ _ _ _ _ _ _\n_ _ _ _ _ Q _ _\n_ _ _ _ _ _ _ Q\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 2 queen(s) on the board such that no two queens attack each other.\n_ _ _ _ _ _ _ _\n_ _ Q _ _ _ _ _\nQ _ _ _ _ _ _ _\n_ _ _ _ _ Q _ _\n_ _ _ _ _ _ _ Q\n_ _ _ _ Q _ _ _\n_ Q _ _ _ _ _ _\n_ _ _ _ _ _ _ _\n", "_time": 0.0037920475006103516, "_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 2 queen(s) on the board such that no two queens attack each other.
_ _ _ _ _ _ _ _
_ _ Q _ _ _ _ _
Q _ _ _ _ _ _ _
_ _ _ _ _ Q _ _
_ _ _ _ _ _ _ Q
_ _ _ _ Q _ _ _
_ Q _ _ _ _ _ _
_ _ _ _ _ _ _ _
|
rg
|
3*(7 + 4) - 9
|
{"source_dataset": "puzzle24", "source_index": 0, "numbers": [7, 4, 3, 9], "difficulty": {"value": [1, 10]}, "task_name": "RG.puzzle24", "_question": "Make 24 using 7, 4, 3, 9. You can only use each number once. You can use the operators +, -, *, /.\nFinal answer format instructions:\n1. Provide your final answer as a arithmetic expression (no '=' sign).\n2. Do not include the target number in the expression.\n3. Use '*' for multiplication.\n4. Use '/' for division.\n", "_time": 0.08427643775939941, "_task": "rg", "_level": 0}
|
Make 24 using 7, 4, 3, 9. You can only use each number once. You can use the operators +, -, *, /.
Final answer format instructions:
1. Provide your final answer as a arithmetic expression (no '=' sign).
2. Do not include the target number in the expression.
3. Use '*' for multiplication.
4. Use '/' for division.
|
rg
|
["fill B", "pour B->A", "fill B", "pour B->A", "empty A", "pour B->A", "fill B", "pour B->A", "fill B", "pour B->A", "empty A", "pour B->A", "fill B", "pour B->A", "pour B->C", "pour A->B", "pour B->C"]
|
{"source_dataset": "jugs", "source_index": 0, "puzzle": {"jug_capacities": [13, 8, 13], "target": 9, "min_moves": 17}, "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:13, B:8, C:13\nAnd your target is: 9 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": 0.004989147186279297, "_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:13, B:8, C:13
And your target is: 9 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
|
3 1 4 2
2 4 1 3
4 2 3 1
1 3 2 4
|
{"source_dataset": "mini_sudoku", "source_index": 0, "puzzle": [[0, 1, 0, 2], [0, 0, 0, 0], [0, 2, 3, 1], [0, 0, 0, 0]], "solution": [[3, 1, 4, 2], [2, 4, 1, 3], [4, 2, 3, 1], [1, 3, 2, 4]], "num_empty": 11, "difficulty": {"empty": [8, 12]}, "task_name": "RG.mini_sudoku", "_question": "In 4x4 Mini Sudoku:\n- Each row must contain each number from 1-4 exactly once\n- Each column must contain each number 1-4 exactly once\n- Each 2x2 subgrid must contain each number 1-4 exactly once\nSolve this 4x4 Mini Sudoku puzzle:\n_ 1 _ 2\n_ _ _ _\n_ 2 3 1\n_ _ _ _\nFormat your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.\n", "_time": 0.0003905296325683594, "_task": "rg", "_level": 0}
|
In 4x4 Mini Sudoku:
- Each row must contain each number from 1-4 exactly once
- Each column must contain each number 1-4 exactly once
- Each 2x2 subgrid must contain each number 1-4 exactly once
Solve this 4x4 Mini Sudoku puzzle:
_ 1 _ 2
_ _ _ _
_ 2 3 1
_ _ _ _
Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.
|
rg
|
-65721412
|
{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "8681 * -7570 + -6242", "num_terms": 3, "num_digits": 4, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate 8681 * -7570 + -6242.", "_time": 0.00013136863708496094, "_task": "rg", "_level": 0}
|
Calculate 8681 * -7570 + -6242.
|
rg
|
YOU KNOW HOW EAGER IS THE CURIOSITY OF THE PUBLIC WITH REGARD TO THESE ASTRONOMICAL QUESTIONS
|
{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 17, "cipher_text": "PFL BEFN YFN VRXVI ZJ KYV TLIZFJZKP FW KYV GLSCZT NZKY IVXRIU KF KYVJV RJKIFEFDZTRC HLVJKZFEJ", "clear_text": "YOU KNOW HOW EAGER IS THE CURIOSITY OF THE PUBLIC WITH REGARD TO THESE ASTRONOMICAL QUESTIONS", "num_words": 16, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: PFL BEFN YFN VRXVI ZJ KYV TLIZFJZKP FW KYV GLSCZT NZKY IVXRIU KF KYVJV RJKIFEFDZTRC HLVJKZFEJ. Provide only the decrypted text as your final answer.", "_time": 0.0017132759094238281, "_task": "rg", "_level": 0}
|
Decrypt this Caesar cipher text: PFL BEFN YFN VRXVI ZJ KYV TLIZFJZKP FW KYV GLSCZT NZKY IVXRIU KF KYVJV RJKIFEFDZTRC HLVJKZFEJ. Provide only the decrypted text as your final answer.
|
rg
|
No
|
{"task": "is_leap_year", "year": 2013, "is_leap": false, "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": "Tell me whether 2013 is a leap year. Answer with Yes or No.", "_time": 0.00010752677917480469, "_task": "rg", "_level": 0}
|
Tell me whether 2013 is a leap year. Answer with Yes or No.
|
rg
|
[148]
|
{"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: [33]\nOutput 1: [62]\nInput 2: [94]\nOutput 2: [184]\nInput 3: [42]\nOutput 3: [80]\nInput 4: [73]\nOutput 4: [142]\n\n\nInput: [76]\nOutput:\n", "_time": 0.00012874603271484375, "_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: [33]
Output 1: [62]
Input 2: [94]
Output 2: [184]
Input 3: [42]
Output 3: [80]
Input 4: [73]
Output 4: [142]
Input: [76]
Output:
|
rg
|
True
|
{"source_dataset": "course_schedule", "source_index": 0, "courses": [1, 0, 3, 2, 4], "prerequisites": [[0, 1], [4, 0], [4, 2], [2, 1], [3, 1]], "solution": true, "solvable": true, "difficulty": {"num_courses": [5, 10], "num_prerequisites": [1, 2], "cycle_length": [3, 5]}, "task_name": "RG.course_schedule", "_question": "There are a total of 5 courses you have to take, labeled from 0 to 4.\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[(0, 1), (4, 0), (4, 2), (2, 1), (3, 1)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.000133514404296875, "_task": "rg", "_level": 0}
|
There are a total of 5 courses you have to take, labeled from 0 to 4.
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:
[(0, 1), (4, 0), (4, 2), (2, 1), (3, 1)]
Return True if you can finish all courses considering the prerequisites, or False otherwise.
|
rg
|
14
|
{"source_dataset": "count_bits", "source_index": 0, "number": 1141292870, "solution": 14, "binary": "1000100000001101011111101000110", "n": 1141292870, "difficulty": {"n": [1, 2147483647]}, "task_name": "RG.count_bits", "_question": "How many 1 bits are there in the binary representation of the number 1141292870?", "_time": 7.82012939453125e-05, "_task": "rg", "_level": 0}
|
How many 1 bits are there in the binary representation of the number 1141292870?
|
rg
|
$\frac{118}{661}$
|
{"source_dataset": "fraction_simplification", "source_index": 0, "numerator": 6372, "denominator": 35694, "simplified_numerator": 118, "simplified_denominator": 661, "reduction_factor": 54, "style": "latex_frac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}, "task_name": "RG.fraction_simplification", "_question": "Simplify the fraction $\\frac{6372}{35694}$ to its lowest terms. Give only the simplified fraction as your final answer.", "_time": 0.00010824203491210938, "_task": "rg", "_level": 0}
|
Simplify the fraction $\frac{6372}{35694}$ to its lowest terms. Give only the simplified fraction as your final answer.
|
rg
|
undetermined
|
{"source_dataset": "acre", "source_index": 0, "task_name": "RG.acre", "_question": "You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.\n\nEach example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.\n\nAfter observing the previous examples, respond with:\n- \"on\" if you can determine the detector light will turn on\n- \"off\" if you can determine the detector light will stay off\n- \"undetermined\" if there is insufficient evidence to reach a conclusion\n\nDo not use quotation marks in your answer.\n\nPrevious experimental results:\nbrown rubber cube \u2192 on\nbrown rubber cube, purple metal cube \u2192 on\npurple metal cube \u2192 off\ncyan metal cube, green metal cylinder \u2192 off\nblue metal cylinder, red metal sphere \u2192 on\ncyan metal cube \u2192 off\n\nNew test case:\nblue metal cylinder\n\nWhat is the detector light status?", "_time": 0.0002243518829345703, "_task": "rg", "_level": 0}
|
You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.
Each example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.
After observing the previous examples, respond with:
- "on" if you can determine the detector light will turn on
- "off" if you can determine the detector light will stay off
- "undetermined" if there is insufficient evidence to reach a conclusion
Do not use quotation marks in your answer.
Previous experimental results:
brown rubber cube → on
brown rubber cube, purple metal cube → on
purple metal cube → off
cyan metal cube, green metal cylinder → off
blue metal cylinder, red metal sphere → on
cyan metal cube → off
New test case:
blue metal cylinder
What is the detector light status?
|
rg
|
None
|
{"source_dataset": "boxnet", "source_index": 0, "row_num": 2, "column_num": 2, "initial_state": {"0.5_0.5": ["box_blue", "target_blue", "box_green"], "0.5_1.5": ["box_red", "target_green"], "1.5_0.5": ["target_red"], "1.5_1.5": []}, "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', 'target_blue', 'box_green'], I can do ['move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[0.5, 1.5])', 'move(box_blue, target_blue)', 'move(box_green, square[1.5, 0.5])', 'move(box_green, square[0.5, 1.5])']\nAgent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[1.5, 1.5])', 'move(box_red, square[0.5, 0.5])']\nAgent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red'], I can do []\nAgent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe [], I can do []\n\n", "_time": 0.0001838207244873047, "_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', 'target_blue', 'box_green'], I can do ['move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[0.5, 1.5])', 'move(box_blue, target_blue)', 'move(box_green, square[1.5, 0.5])', 'move(box_green, square[0.5, 1.5])']
Agent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[1.5, 1.5])', 'move(box_red, square[0.5, 0.5])']
Agent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red'], I can do []
Agent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe [], I can do []
|
rg
|
-21
|
{"source_dataset": "chain_sum", "source_index": 0, "num_terms": 6, "num_digits": 1, "expression": "8 - 9 + 0 - 6 - 8 - 6", "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.chain_sum", "_question": "State the final answer to the following arithmetic problem: 8 - 9 + 0 - 6 - 8 - 6 =", "_time": 9.250640869140625e-05, "_task": "rg", "_level": 0}
|
State the final answer to the following arithmetic problem: 8 - 9 + 0 - 6 - 8 - 6 =
|
rg
|
['65.3', '88.300']
|
{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["65.3", "-17.0", "-29", "88.300"], "filter_value": "23.5", "operation": "keep_larger", "result": ["65.3", "88.300"], "numbers": 4, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Keep all numbers larger than 23.5 in this list: ['65.3', '-17.0', '-29', '88.300']\nReturn the new list in the same format.", "_time": 0.0001316070556640625, "_task": "rg", "_level": 0}
|
Keep all numbers larger than 23.5 in this list: ['65.3', '-17.0', '-29', '88.300']
Return the new list in the same format.
|
rg
|
2
|
{"source_dataset": "aiw", "source_index": 0, "task_type": "friends", "difficulty": {"task_type_weights": [0.3333333333333333, 0.3333333333333333, 0.3333333333333333], "num_entities": 6}, "task_name": "RG.aiw", "_question": "Margaret has 4 male friends and she also has 1 female friends. They all are friends with each other and have no other friends aside. How many female friends does Michael, a male friend of Margaret, have?", "_time": 0.00011110305786132812, "_task": "rg", "_level": 0}
|
Margaret has 4 male friends and she also has 1 female friends. They all are friends with each other and have no other friends aside. How many female friends does Michael, a male friend of Margaret, have?
|
rg
|
5 4 > 1 < 2 3
∧
1 3 < 4 5 2
2 5 3 1 4
4 1 2 < 3 5
∨
3 2 5 4 1
|
{"source_dataset": "futoshiki", "source_index": 0, "puzzle": [[0, 0, 0, 0, 3], [0, 3, 0, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 5], [0, 0, 5, 4, 0]], "constraints": [[0, 1, 0, 2, ">"], [0, 2, 0, 3, "<"], [0, 3, 1, 3, "<"], [1, 1, 1, 2, "<"], [3, 0, 4, 0, ">"], [3, 2, 3, 3, "<"]], "solution": [[5, 4, 1, 2, 3], [1, 3, 4, 5, 2], [2, 5, 3, 1, 4], [4, 1, 2, 3, 5], [3, 2, 5, 4, 1]], "board_size": 5, "difficulty_rating": 2, "difficulty": {"board_size": [4, 9], "difficulty": [0, 3]}, "task_name": "RG.futoshiki", "_question": "Solve the following 5x5 Futoshiki puzzle:\n\n_ _ > _ < _ 3\n \u2227 \n_ 3 < _ _ _\n \n_ _ _ 1 _\n \n_ _ _ < _ 5\n\u2228 \n_ _ 5 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 5 exactly once.", "_time": 0.012330770492553711, "_task": "rg", "_level": 0}
|
Solve the following 5x5 Futoshiki puzzle:
_ _ > _ < _ 3
∧
_ 3 < _ _ _
_ _ _ 1 _
_ _ _ < _ 5
∨
_ _ 5 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 ∧ and ∨ for vertical constraints.
Remember, in Futoshiki each row and column must contain each number from 1 to 5 exactly once.
|
rg
|
1 0 0 0 0 0 2 2 0
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[5, 4, 2, 0, 0, 0, 0, 0, 0], [4, 3, 1, 1, 0, 0, 0, 0, 0], [3, 2, 0, 2, 0, 0, 0, 0, 0], [2, 1, 0, 2, 0, 1, 0, 0, 0], [1, 0, 0, 2, 0, 2, 0, 0, 0], [1, 0, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 0, 0, 0, 2, 2, 0]], "solution": [1, 0, 0, 0, 0, 0, 2, 2, 0], "initial_blocks": [5, 4, 2], "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 5 [A], 4 [B], and 2 [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": 0.00012946128845214844, "_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 5 [A], 4 [B], and 2 [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
|
True
|
{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["hwvyiqh", "scnehgs"], "solution": true, "solvable": true, "string_length": 8, "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:\nhwvyiqh scnehgs\n", "_time": 0.00011467933654785156, "_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:
hwvyiqh scnehgs
|
rg
|
F6
|
{"source_dataset": "tsumego", "source_index": 0, "board": [[".", ".", ".", ".", "X", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", "O", ".", ".", "."], [".", ".", ".", ".", "X", "X", ".", ".", ".", ".", "."], [".", ".", "X", "X", "O", "O", "X", "O", "O", ".", "."], [".", ".", ".", "X", "O", ".", ".", "X", ".", ".", "."], [".", ".", ".", ".", "X", ".", ".", ".", ".", ".", "."], ["O", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", "X", ".", ".", "X", ".", ".", ".", ".", "O"], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", "X", "."]], "board_size": 11, "difficulty": {"board_size": [9, 13]}, "task_name": "RG.tsumego", "_question": "Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible?\n\n```\n A B C D E F G H I J K\n11 . . . . X . . . . . .\n10 . . . . . . . . . . .\n 9 . . . . . . . O . . .\n 8 . . . . X X . . . . .\n 7 . . X X O O X O O . .\n 6 . . . X O . . X . . .\n 5 . . . . X . . . . . .\n 4 O . . . . . . . . . .\n 3 . . X . . X . . . . O\n 2 . . . . . . . . . . .\n 1 . . . . . . . . . X .\n```\n\nX - Black\nO - White\n\nSpecify your move in coordinates (e.g. 'C4' for column C, row 4)", "_time": 0.0002815723419189453, "_task": "rg", "_level": 0}
|
Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible?
```
A B C D E F G H I J K
11 . . . . X . . . . . .
10 . . . . . . . . . . .
9 . . . . . . . O . . .
8 . . . . X X . . . . .
7 . . X X O O X O O . .
6 . . . X O . . X . . .
5 . . . . X . . . . . .
4 O . . . . . . . . . .
3 . . X . . X . . . . O
2 . . . . . . . . . . .
1 . . . . . . . . . X .
```
X - Black
O - White
Specify your move in coordinates (e.g. 'C4' for column C, row 4)
|
rg
|
8 3 5 0 1 4 5 1 1 3 7 5 0 2 8 1 4 6 7 5 0 5 0 5 0 9 0 7 5 4 9 3 6 6 4 5 4 4 7 8 2 7 6 5 0 2 6 4 1 0 0 4 5 7 8 4 4 2 5 5 7 9 6 8 9 7 2 8 5 5 6 4 0 8 7 9 6 0 2 5 1
|
{"source_dataset": "spiral_matrix", "source_index": 0, "matrix": [[8, 3, 5, 0, 1, 4, 5, 1, 1], [3, 6, 6, 4, 5, 4, 4, 7, 3], [9, 4, 4, 2, 5, 5, 7, 8, 7], [4, 8, 4, 0, 8, 7, 9, 2, 5], [5, 7, 6, 5, 1, 9, 6, 7, 0], [7, 5, 5, 2, 0, 6, 8, 6, 2], [0, 4, 5, 8, 2, 7, 9, 5, 8], [9, 0, 0, 1, 4, 6, 2, 0, 1], [0, 5, 0, 5, 0, 5, 7, 6, 4]], "solution": [8, 3, 5, 0, 1, 4, 5, 1, 1, 3, 7, 5, 0, 2, 8, 1, 4, 6, 7, 5, 0, 5, 0, 5, 0, 9, 0, 7, 5, 4, 9, 3, 6, 6, 4, 5, 4, 4, 7, 8, 2, 7, 6, 5, 0, 2, 6, 4, 1, 0, 0, 4, 5, 7, 8, 4, 4, 2, 5, 5, 7, 9, 6, 8, 9, 7, 2, 8, 5, 5, 6, 4, 0, 8, 7, 9, 6, 0, 2, 5, 1], "n": 9, "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 3 5 0 1 4 5 1 1\n3 6 6 4 5 4 4 7 3\n9 4 4 2 5 5 7 8 7\n4 8 4 0 8 7 9 2 5\n5 7 6 5 1 9 6 7 0\n7 5 5 2 0 6 8 6 2\n0 4 5 8 2 7 9 5 8\n9 0 0 1 4 6 2 0 1\n0 5 0 5 0 5 7 6 4\n", "_time": 0.00018525123596191406, "_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 3 5 0 1 4 5 1 1
3 6 6 4 5 4 4 7 3
9 4 4 2 5 5 7 8 7
4 8 4 0 8 7 9 2 5
5 7 6 5 1 9 6 7 0
7 5 5 2 0 6 8 6 2
0 4 5 8 2 7 9 5 8
9 0 0 1 4 6 2 0 1
0 5 0 5 0 5 7 6 4
|
rg
|
Yes
|
{"source_dataset": "syllogism", "source_index": 0, "premise1": "All writers are mammals", "premise2": "All mammals are whales", "conclusion": "All writers are whales", "is_valid": true, "type": "syllogism", "task_name": "RG.syllogism", "_question": "Consider these statements:\n1. All writers are mammals\n2. All mammals are whales\n\nDoes it logically follow that:\nAll writers are whales?\n(Answer Yes or No)", "_time": 0.0001552104949951172, "_task": "rg", "_level": 0}
|
Consider these statements:
1. All writers are mammals
2. All mammals are whales
Does it logically follow that:
All writers are whales?
(Answer Yes or No)
|
rg
|
None
|
{"source_dataset": "rush_hour", "source_index": 0, "board_config": "FBBBIJFoGoIJAAGHIJoooHCCxEEHoooooooo", "min_moves": 19, "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:\nEBBBHI\nE.F.HI\nAAFGHI\n...GCC\nxDDG..\n......\n", "_time": 0.008289337158203125, "_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:
EBBBHI
E.F.HI
AAFGHI
...GCC
xDDG..
......
|
rg
|
-10.0 - 6.0i
|
{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [0.0, -10.0], "num2": [-10.0, 4.0], "operation": "+", "result": [-10, -6], "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: (-10.00i) + (-10.0 + 4.0i)", "_time": 0.00011920928955078125, "_task": "rg", "_level": 0}
|
Add the complex numbers: (-10.00i) + (-10.0 + 4.0i)
|
rg
|
None
|
{"source_dataset": "boxnet", "source_index": 0, "row_num": 1, "column_num": 4, "initial_state": {"0.5_0.5": ["box_red", "target_blue", "box_green"], "0.5_1.5": ["target_red", "target_green"], "0.5_2.5": [], "0.5_3.5": ["box_blue"]}, "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_red', 'target_blue', 'box_green'], I can do ['move(box_red, square[0.5, 1.5])', 'move(box_green, square[0.5, 1.5])']\nAgent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['target_red', 'target_green'], I can do []\nAgent[0.5, 2.5]: I am in square[0.5, 2.5], I can observe [], I can do []\nAgent[0.5, 3.5]: I am in square[0.5, 3.5], I can observe ['box_blue'], I can do ['move(box_blue, square[0.5, 2.5])']\n\n", "_time": 0.00018024444580078125, "_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_red', 'target_blue', 'box_green'], I can do ['move(box_red, square[0.5, 1.5])', 'move(box_green, square[0.5, 1.5])']
Agent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['target_red', 'target_green'], I can do []
Agent[0.5, 2.5]: I am in square[0.5, 2.5], I can observe [], I can do []
Agent[0.5, 3.5]: I am in square[0.5, 3.5], I can observe ['box_blue'], I can do ['move(box_blue, square[0.5, 2.5])']
|
rg
|
GOITERS
|
{"source_dataset": "figlet_font", "source_index": 0, "font": "characte", "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": 0.15390324592590332, "_task": "rg", "_level": 0}
|
What word does this say?
## ##
######
###### ###### ### ## ###### ###### ######
## ## ## ## ## ## ###### ## ## ###
###### ## ## ## ## ## ## ####
## ###### ###### #### ###### ## ######
######
|
rg
|
late, hurried, dresser, Terms, Heat, Avenue
|
{"source_dataset": "word_sorting", "source_index": 0, "original_words": ["Heat", "late", "Avenue", "dresser", "Terms", "hurried"], "sorted_words": ["late", "hurried", "dresser", "Terms", "Heat", "Avenue"], "transformed_words": ["Heat", "late", "Avenue", "dresser", "Terms", "hurried"], "direction": "descending", "num_words": 6, "word_length": 7, "difficulty": {"num_words": [3, 10], "word_length": [3, 12]}, "task_name": "RG.word_sorting", "_question": "Your task is to sort words in ascending or descending order using ASCII/Unicode ordering.\n\nYour output should be a comma-separated list of words, e.g. word_1, word_2, word_3\n\nNow, sort these words in descending order (using ASCII/Unicode ordering) and return them as a comma-separated list: Heat, late, Avenue, dresser, Terms, hurried\n", "_time": 0.003392457962036133, "_task": "rg", "_level": 0}
|
Your task is to sort words in ascending or descending order using ASCII/Unicode ordering.
Your output should be a comma-separated list of words, e.g. word_1, word_2, word_3
Now, sort these words in descending order (using ASCII/Unicode ordering) and return them as a comma-separated list: Heat, late, Avenue, dresser, Terms, hurried
|
rg
|
Chi
|
{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "W", "remove": "P", "cards": "QFMEWOWLDQTRW", "result": "Pass"}, {"add": "K", "remove": "D", "cards": "QFMEWOWLQTRWK", "result": "Pass"}, {"add": "J", "remove": "O", "cards": "QFMEWWLQTRWKJ", "result": "Chi"}, {"add": "N", "remove": "J", "cards": "QFMEWWLQTRWKN", "result": "Chi"}, {"add": "Q", "remove": "R", "cards": "QFMEWWLQTWKNQ", "result": "Peng"}, {"add": "W", "remove": "Q", "cards": "FMEWWLQTWKNQW", "result": "Peng"}, {"add": "O", "remove": "W", "cards": "FMEWLQTWKNQWO", "result": "Chi"}, {"add": "W", "remove": "M", "cards": "FEWLQTWKNQWOW", "result": "Peng"}, {"add": "J", "remove": "L", "cards": "FEWQTWKNQWOWJ", "result": "Chi"}, {"add": "W", "remove": "W", "cards": "FEQTWKNQWOWJW", "result": "Peng"}, {"add": "W", "remove": "W", "cards": "FEQTKNQWOWJWW", "result": "Peng"}, {"add": "U", "remove": "T", "cards": "FEQKNQWOWJWWU", "result": "Pass"}, {"add": "D", "remove": "Q", "cards": "FEKNQWOWJWWUD", "result": "Chi"}, {"add": "M", "remove": "W", "cards": "FEKNQOWJWWUDM", "result": "Chi"}, {"add": "W", "remove": "J", "cards": "FEKNQOWWWUDMW", "result": "Peng"}, {"add": "W", "remove": "O", "cards": "FEKNQWWWUDMWW", "result": "Peng"}, {"add": "V", "remove": "W", "cards": "FEKNQWWUDMWWV", "result": "Pass"}, {"add": "Z", "remove": "W", "cards": "FEKNQWUDMWWVZ", "result": "Pass"}, {"add": "J", "remove": "Z", "cards": "FEKNQWUDMWWVJ", "result": "Pass"}, {"add": "V", "remove": "F", "cards": "EKNQWUDMWWVJV", "result": "Pass"}, {"add": "V", "remove": "W", "cards": "EKNQUDMWWVJVV", "result": "Peng"}, {"add": "F", "remove": "J", "cards": "EKNQUDMWWVVVF", "result": "Chi"}, {"add": "F", "remove": "F", "cards": "EKNQUDMWWVVVF", "result": "Chi"}, {"add": "V", "remove": "F", "cards": "EKNQUDMWWVVVV", "result": "Peng"}, {"add": "W", "remove": "V", "cards": "EKNQUDMWWVVVW", "result": "Peng"}, {"add": "T", "remove": "E", "cards": "KNQUDMWWVVVWT", "result": "Chi"}, {"add": "H", "remove": "D", "cards": "KNQUMWWVVVWTH", "result": "Pass"}, {"add": "D", "remove": "T", "cards": "KNQUMWWVVVWHD", "result": "Pass"}, {"add": "W", "remove": "W", "cards": "KNQUMWVVVWHDW", "result": "Peng"}, {"add": "V", "remove": "W", "cards": "KNQUMVVVWHDWV", "result": "Peng"}, {"add": "V", "remove": "Q", "cards": "KNUMVVVWHDWVV", "result": "Peng"}, {"add": "O", "remove": "D", "cards": "KNUMVVVWHWVVO", "result": "Chi"}, {"add": "B", "remove": "V", "cards": "KNUMVVWHWVVOB", "result": "Pass"}, {"add": "W", "remove": "V", "cards": "KNUMVWHWVVOBW", "result": "Pass"}, {"add": "R", "remove": "U", "cards": "KNMVWHWVVOBWR", "result": "Pass"}, {"add": "L", "remove": "W", "cards": "KNMVHWVVOBWRL", "result": "Chi"}, {"add": "V", "remove": "W", "cards": "KNMVHVVOBWRLV", "result": "Peng"}, {"add": "M", "remove": "N", "cards": "KMVHVVOBWRLVM", "result": "Chi"}], "solution": "Chi", "difficulty": {"num_rounds": [10, 50]}, "task_name": "RG.mahjong_puzzle", "_question": "There are several letter cards, and the game rules are as follows:\n1. Initially, there are 13 cards.\n2. Each time, a new card is added, and a result is determined. Then, one card is removed.\n3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as \"Peng\".\n4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as \"Chi\". For example: ABC, BCD, CDE, etc.\n5. If the new card does not meet the conditions of 3 and 4, the result is determined as \"Pass\".\n6. \"Peng\" takes precedence over \"Chi\".\n7. The card that is removed does not affect the result determination of the current round.\n\nYour output should be one of the following: \"Peng\", \"Chi\", or \"Pass\" (without quotes).\n\nNow, given the initial cards QFMEWOWLDQPTR, what is the result at the end of performing the following rounds of operations:\nRound 1: Add a W card and remove a P card.\nRound 2: Add a K card and remove a D card.\nRound 3: Add a J card and remove an O card.\nRound 4: Add a N card and remove a J card.\nRound 5: Add a Q card and remove a R card.\nRound 6: Add a W card and remove a Q card.\nRound 7: Add an O card and remove a W card.\nRound 8: Add a W card and remove a M card.\nRound 9: Add a J card and remove a L card.\nRound 10: Add a W card and remove a W card.\nRound 11: Add a W card and remove a W card.\nRound 12: Add an U card and remove a T card.\nRound 13: Add a D card and remove a Q card.\nRound 14: Add a M card and remove a W card.\nRound 15: Add a W card and remove a J card.\nRound 16: Add a W card and remove an O card.\nRound 17: Add a V card and remove a W card.\nRound 18: Add a Z card and remove a W card.\nRound 19: Add a J card and remove a Z card.\nRound 20: Add a V card and remove a F card.\nRound 21: Add a V card and remove a W card.\nRound 22: Add a F card and remove a J card.\nRound 23: Add a F card and remove a F card.\nRound 24: Add a V card and remove a F card.\nRound 25: Add a W card and remove a V card.\nRound 26: Add a T card and remove an E card.\nRound 27: Add a H card and remove a D card.\nRound 28: Add a D card and remove a T card.\nRound 29: Add a W card and remove a W card.\nRound 30: Add a V card and remove a W card.\nRound 31: Add a V card and remove a Q card.\nRound 32: Add an O card and remove a D card.\nRound 33: Add a B card and remove a V card.\nRound 34: Add a W card and remove a V card.\nRound 35: Add a R card and remove an U card.\nRound 36: Add a L card and remove a W card.\nRound 37: Add a V card and remove a W card.\nRound 38: Add a M card and remove a N card.\n", "_time": 0.0016331672668457031, "_task": "rg", "_level": 0}
|
There are several letter cards, and the game rules are as follows:
1. Initially, there are 13 cards.
2. Each time, a new card is added, and a result is determined. Then, one card is removed.
3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as "Peng".
4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as "Chi". For example: ABC, BCD, CDE, etc.
5. If the new card does not meet the conditions of 3 and 4, the result is determined as "Pass".
6. "Peng" takes precedence over "Chi".
7. The card that is removed does not affect the result determination of the current round.
Your output should be one of the following: "Peng", "Chi", or "Pass" (without quotes).
Now, given the initial cards QFMEWOWLDQPTR, what is the result at the end of performing the following rounds of operations:
Round 1: Add a W card and remove a P card.
Round 2: Add a K card and remove a D card.
Round 3: Add a J card and remove an O card.
Round 4: Add a N card and remove a J card.
Round 5: Add a Q card and remove a R card.
Round 6: Add a W card and remove a Q card.
Round 7: Add an O card and remove a W card.
Round 8: Add a W card and remove a M card.
Round 9: Add a J card and remove a L card.
Round 10: Add a W card and remove a W card.
Round 11: Add a W card and remove a W card.
Round 12: Add an U card and remove a T card.
Round 13: Add a D card and remove a Q card.
Round 14: Add a M card and remove a W card.
Round 15: Add a W card and remove a J card.
Round 16: Add a W card and remove an O card.
Round 17: Add a V card and remove a W card.
Round 18: Add a Z card and remove a W card.
Round 19: Add a J card and remove a Z card.
Round 20: Add a V card and remove a F card.
Round 21: Add a V card and remove a W card.
Round 22: Add a F card and remove a J card.
Round 23: Add a F card and remove a F card.
Round 24: Add a V card and remove a F card.
Round 25: Add a W card and remove a V card.
Round 26: Add a T card and remove an E card.
Round 27: Add a H card and remove a D card.
Round 28: Add a D card and remove a T card.
Round 29: Add a W card and remove a W card.
Round 30: Add a V card and remove a W card.
Round 31: Add a V card and remove a Q card.
Round 32: Add an O card and remove a D card.
Round 33: Add a B card and remove a V card.
Round 34: Add a W card and remove a V card.
Round 35: Add a R card and remove an U card.
Round 36: Add a L card and remove a W card.
Round 37: Add a V card and remove a W card.
Round 38: Add a M card and remove a N card.
|
rg
|
off
|
{"source_dataset": "acre", "source_index": 0, "task_name": "RG.acre", "_question": "You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.\n\nEach example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.\n\nAfter observing the previous examples, respond with:\n- \"on\" if you can determine the detector light will turn on\n- \"off\" if you can determine the detector light will stay off\n- \"undetermined\" if there is insufficient evidence to reach a conclusion\n\nDo not use quotation marks in your answer.\n\nPrevious experimental results:\npurple metal sphere \u2192 off\nyellow metal cylinder \u2192 on\nyellow metal cylinder, purple metal sphere \u2192 on\npurple metal cylinder \u2192 off\npurple metal cylinder, purple rubber cylinder, red rubber sphere \u2192 off\ngray rubber sphere, brown rubber cylinder, red rubber sphere, purple rubber cylinder \u2192 on\n\nNew test case:\npurple metal cylinder\n\nWhat is the detector light status?", "_time": 0.0004677772521972656, "_task": "rg", "_level": 0}
|
You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.
Each example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.
After observing the previous examples, respond with:
- "on" if you can determine the detector light will turn on
- "off" if you can determine the detector light will stay off
- "undetermined" if there is insufficient evidence to reach a conclusion
Do not use quotation marks in your answer.
Previous experimental results:
purple metal sphere → off
yellow metal cylinder → on
yellow metal cylinder, purple metal sphere → on
purple metal cylinder → off
purple metal cylinder, purple rubber cylinder, red rubber sphere → off
gray rubber sphere, brown rubber cylinder, red rubber sphere, purple rubber cylinder → on
New test case:
purple metal cylinder
What is the detector light status?
|
rg
|
None
|
{"source_dataset": "rubiks_cube", "source_index": 0, "cube_size": 3, "scramble_steps": 6, "scramble_moves": "U F' U L' F' D", "example_correct_answer": "L D L' D' R' D' B' D F F R' U' F' U F L U L' U' R' U R U' B' U B U L' U U L U F U' F' U' L' U L U B U' B' U' R' U R R U' R' U' F' U F U' B U' B' U' R' U R L U' L' U' B' U B F R U R' U' F' U U F R U R' U' R U R' U' F' U' R U R' U R U U R' U' R U' L' U R' U' L U F U' B' U F' U' B", "difficulty": {"cube_size": 3, "scramble_steps": [3, 10]}, "task_name": "RG.rubiks_cube", "_question": "You are given a 3x3x3 Rubik's cube. It looks like this:\n\n W Y Y \n O Y Y \n R W W \n G Y Y B G G R R R G G O \n G R Y B G G R O O B B O \n B B B O R O G W W B O O \n Y B Y \n W W R \n W W R \n \n\nPlease provide a solution to solve this cube using Singmaster notation. Do not combine any steps, for instance, do not write 'U2', and instead write 'U U'.", "_time": 0.010188102722167969, "_task": "rg", "_level": 0}
|
You are given a 3x3x3 Rubik's cube. It looks like this:
W Y Y
O Y Y
R W W
G Y Y B G G R R R G G O
G R Y B G G R O O B B O
B B B O R O G W W B O O
Y B Y
W W R
W W R
Please provide a solution to solve this cube using Singmaster notation. Do not combine any steps, for instance, do not write 'U2', and instead write 'U U'.
|
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 2 2 0 0 0
0 0 0 0 2 2 2 2 0 0
0 0 0 0 2 2 2 2 0 0
0 0 0 0 0 2 2 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": "arc_agi", "source_index": 0, "input": [[0, 1, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 1], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 2], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [9, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 9]], "output": [[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, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 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]], "task_id": "6df30ad6", "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:\n0 0 6 0 0 0 4 0 0 9\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 7 0 0 6 0\n0 0 0 0 7 7 7 0 0 0\n4 0 0 7 7 7 7 7 0 0\n0 0 0 0 7 7 7 0 0 4\n0 0 0 0 0 7 0 0 0 0\n0 0 0 0 0 0 4 0 9 0\n6 0 0 4 0 0 0 0 0 0\n0 0 0 0 0 0 6 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 4 4 4 0 0 0\n0 0 0 4 4 4 4 4 0 0\n0 0 0 0 4 4 4 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 1 0 0 0 0 0\n1 0 8 0 0 0 0 0 0 8\n0 0 0 0 0 0 0 4 0 0\n0 0 0 4 0 7 0 0 0 0\n0 0 0 0 0 7 0 0 0 0\n0 1 0 0 0 7 0 0 0 0\n0 0 0 0 0 7 0 0 1 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 8\n0 4 0 0 0 0 1 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 0 4 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n8 0 0 0 0 0 0 1 0 3\n0 0 0 0 3 0 0 0 0 0\n3 0 0 0 0 0 8 0 0 8\n0 0 0 0 0 0 0 0 0 0\n0 0 0 7 7 7 7 7 0 0\n1 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 1\n0 0 0 3 0 0 0 3 0 0\n8 0 0 0 0 0 0 0 0 8\n0 0 0 0 0 8 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 8 8 8 8 8 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 4:\n\nInput:\n0 0 2 0 0 0 8 0 0 0\n0 0 0 0 0 0 0 0 0 6\n2 0 0 6 0 0 0 0 0 0\n0 0 0 0 7 7 7 0 0 0\n0 0 0 0 7 7 7 0 2 0\n0 0 0 0 7 7 7 0 0 0\n0 0 0 0 0 0 0 0 0 0\n2 0 8 0 0 0 0 6 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 2 0 0 0 0 8\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 6 6 0 0 0\n0 0 0 0 6 6 6 0 0 0\n0 0 0 0 6 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 5:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 4 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 8 0\n0 0 0 0 0 7 7 0 0 0\n0 0 0 0 0 7 7 0 0 0\n0 0 0 0 0 7 7 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 8 8 0 0 0\n0 0 0 0 0 8 8 0 0 0\n0 0 0 0 0 8 8 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 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:\n0 1 0 0 0 0 0 9 0 0\n0 0 0 0 2 0 0 0 0 1\n0 9 0 0 0 0 0 0 0 0\n1 0 0 0 0 7 7 0 0 0\n0 0 0 0 7 7 7 7 0 2\n0 0 0 0 7 7 7 7 0 0\n9 0 0 0 0 7 7 0 0 0\n0 0 0 0 0 0 0 0 0 0\n2 0 9 0 0 0 0 0 0 0\n0 0 0 0 1 0 0 1 0 9\n", "_time": 0.39963841438293457, "_task": "rg", "_level": 0}
|
Find the common rule that maps an input grid to an output grid, given the examples below.
Example 1:
Input:
0 0 6 0 0 0 4 0 0 9
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 7 0 0 6 0
0 0 0 0 7 7 7 0 0 0
4 0 0 7 7 7 7 7 0 0
0 0 0 0 7 7 7 0 0 4
0 0 0 0 0 7 0 0 0 0
0 0 0 0 0 0 4 0 9 0
6 0 0 4 0 0 0 0 0 0
0 0 0 0 0 0 6 0 0 0
Output:
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 4 0 0 0 0
0 0 0 0 4 4 4 0 0 0
0 0 0 4 4 4 4 4 0 0
0 0 0 0 4 4 4 0 0 0
0 0 0 0 0 4 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
Example 2:
Input:
0 0 0 0 1 0 0 0 0 0
1 0 8 0 0 0 0 0 0 8
0 0 0 0 0 0 0 4 0 0
0 0 0 4 0 7 0 0 0 0
0 0 0 0 0 7 0 0 0 0
0 1 0 0 0 7 0 0 0 0
0 0 0 0 0 7 0 0 1 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 8
0 4 0 0 0 0 1 0 0 0
Output:
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 4 0 0 0 0
0 0 0 0 0 4 0 0 0 0
0 0 0 0 0 4 0 0 0 0
0 0 0 0 0 4 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
Example 3:
Input:
8 0 0 0 0 0 0 1 0 3
0 0 0 0 3 0 0 0 0 0
3 0 0 0 0 0 8 0 0 8
0 0 0 0 0 0 0 0 0 0
0 0 0 7 7 7 7 7 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 3 0 0 0 3 0 0
8 0 0 0 0 0 0 0 0 8
0 0 0 0 0 8 0 0 0 0
Output:
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 8 8 8 8 8 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 0 0
Example 4:
Input:
0 0 2 0 0 0 8 0 0 0
0 0 0 0 0 0 0 0 0 6
2 0 0 6 0 0 0 0 0 0
0 0 0 0 7 7 7 0 0 0
0 0 0 0 7 7 7 0 2 0
0 0 0 0 7 7 7 0 0 0
0 0 0 0 0 0 0 0 0 0
2 0 8 0 0 0 0 6 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 0 0 0 0 8
Output:
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 6 6 6 0 0 0
0 0 0 0 6 6 6 0 0 0
0 0 0 0 6 6 6 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
Example 5:
Input:
0 0 0 0 0 0 0 0 0 0
0 4 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 8 0
0 0 0 0 0 7 7 0 0 0
0 0 0 0 0 7 7 0 0 0
0 0 0 0 0 7 7 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
Output:
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 8 8 0 0 0
0 0 0 0 0 8 8 0 0 0
0 0 0 0 0 8 8 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
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:
0 1 0 0 0 0 0 9 0 0
0 0 0 0 2 0 0 0 0 1
0 9 0 0 0 0 0 0 0 0
1 0 0 0 0 7 7 0 0 0
0 0 0 0 7 7 7 7 0 2
0 0 0 0 7 7 7 7 0 0
9 0 0 0 0 7 7 0 0 0
0 0 0 0 0 0 0 0 0 0
2 0 9 0 0 0 0 0 0 0
0 0 0 0 1 0 0 1 0 9
|
rg
|
6037/18480
|
{"source_dataset": "dice", "source_index": 0, "puzzle": {"dice_str": "1d20, 1d14, 1d12, 1d11", "target": 35, "num": 6037, "den": 18480, "probability": 0.3266774891774892}, "difficulty": {"num_dice": 4, "max_dice_size": 20}, "task_name": "RG.dice", "_question": "I have these dice: 1d20, 1d14, 1d12, 1d11. What are the odds of rolling 35 or higher? (Assume that all dice are rolled at once, and that '1d6' represents one roll of a 6-sided dice.) Please respond with a reduced fraction representing the probability [ex., 1/60].", "_time": 0.00017762184143066406, "_task": "rg", "_level": 0}
|
I have these dice: 1d20, 1d14, 1d12, 1d11. What are the odds of rolling 35 or higher? (Assume that all dice are rolled at once, and that '1d6' represents one roll of a 6-sided dice.) Please respond with a reduced fraction representing the probability [ex., 1/60].
|
rg
|
4
|
{"source_dataset": "rearc", "source_index": 0, "input": [[9, 9, 9, 9], [9, 9, 9, 9], [9, 0, 0, 9], [9, 0, 0, 9]], "output": [[4]], "task_id": "995c5fa3", "rng": 0.07236080661697061, "pso": 0.29064814814814816, "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:\n2 2 2 2\n2 3 3 2\n2 3 3 2\n2 2 2 2\nOutput:\n8\n\nExample 2:\n\nInput:\n4 4 4 4\n5 4 4 5\n5 4 4 5\n4 4 4 4\nOutput:\n3\n\nExample 3:\n\nInput:\n8 8 8 8 5 1 1 1 1\n8 5 5 8 5 1 5 5 1\n8 5 5 8 5 1 5 5 1\n8 8 8 8 5 1 1 1 1\nOutput:\n8 8\n8 8\n\nExample 4:\n\nInput:\n3 3 3 3\n7 3 3 7\n7 3 3 7\n3 3 3 3\nOutput:\n3\n\nExample 5:\n\nInput:\n5 5 5 5\n5 5 5 5\n5 6 6 5\n5 6 6 5\nOutput:\n4\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 9 9\n9 9 9 9\n9 0 0 9\n9 0 0 9\n", "_time": 0.003165721893310547, "_task": "rg", "_level": 0}
|
Find the common rule that maps an input grid to an output grid, given the examples below.
Example 1:
Input:
2 2 2 2
2 3 3 2
2 3 3 2
2 2 2 2
Output:
8
Example 2:
Input:
4 4 4 4
5 4 4 5
5 4 4 5
4 4 4 4
Output:
3
Example 3:
Input:
8 8 8 8 5 1 1 1 1
8 5 5 8 5 1 5 5 1
8 5 5 8 5 1 5 5 1
8 8 8 8 5 1 1 1 1
Output:
8 8
8 8
Example 4:
Input:
3 3 3 3
7 3 3 7
7 3 3 7
3 3 3 3
Output:
3
Example 5:
Input:
5 5 5 5
5 5 5 5
5 6 6 5
5 6 6 5
Output:
4
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 9 9
9 9 9 9
9 0 0 9
9 0 0 9
|
rg
|
False
|
{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["ghdh", "bagv"], "solution": false, "solvable": false, "string_length": 4, "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:\nghdh bagv\n", "_time": 0.00011968612670898438, "_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:
ghdh bagv
|
rg
|
-1
|
{"source_dataset": "binary_alternation", "source_index": 0, "string": "001100111011000111", "solution": -1, "solvable": false, "n": 16, "difficulty": {"n": [10, 30]}, "task_name": "RG.binary_alternation", "_question": "Given a binary string, return the minimum number of character swaps to make it alternating, or -1 if it is impossible.\n\nThe string is called alternating if no two adjacent characters are equal. For example, the strings \"010\" and \"1010\" are alternating, while the string \"0100\" is not.\n\nAny two characters may be swapped, even if they are not adjacent.\n\nNow, determine the minimum number of swaps to make the following binary string alternating: 001100111011000111\n", "_time": 9.226799011230469e-05, "_task": "rg", "_level": 0}
|
Given a binary string, return the minimum number of character swaps to make it alternating, or -1 if it is impossible.
The string is called alternating if no two adjacent characters are equal. For example, the strings "010" and "1010" are alternating, while the string "0100" is not.
Any two characters may be swapped, even if they are not adjacent.
Now, determine the minimum number of swaps to make the following binary string alternating: 001100111011000111
|
rg
|
491
|
{"source_dataset": "count_primes", "source_index": 0, "start": 5208, "end": 9584, "primes": [5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 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, 9533, 9539, 9547, 9551], "solution": 491, "n": [5208, 9584], "difficulty": {"n": [1, 10000]}, "task_name": "RG.count_primes", "_question": "Count how many prime numbers there are between 5208 and 9584 (inclusive) ?", "_time": 0.0007042884826660156, "_task": "rg", "_level": 0}
|
Count how many prime numbers there are between 5208 and 9584 (inclusive) ?
|
rg
|
148086539.61
|
{"source_dataset": "number_format", "source_index": 0, "candidates": [148086539.61, 148086532.12100002], "solution": 148086539.61, "formatted_candidates": ["148,086,539.61", "148,086,532.12100002"], "size": "largest", "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 largest number of the following candidates: 148,086,539.61 148,086,532.12100002\n", "_time": 0.00010156631469726562, "_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: 148,086,539.61 148,086,532.12100002
|
rg
|
0x62eb5e9e0
|
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "((0xd641 + 0x1545) * (0xd70a << 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((0xd641 + 0x1545) * (0xd70a << 0x3))", "_time": 0.00011801719665527344, "_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.
((0xd641 + 0x1545) * (0xd70a << 0x3))
|
rg
|
2 6 4 1 9 8 3 5 7
1 3 7 4 2 5 9 8 6
9 8 5 7 3 6 2 4 1
8 1 9 2 4 3 6 7 5
3 7 6 5 8 1 4 2 9
4 5 2 6 7 9 8 1 3
6 2 8 9 1 7 5 3 4
7 9 3 8 5 4 1 6 2
5 4 1 3 6 2 7 9 8
|
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[2, 0, 0, 1, 9, 8, 0, 5, 7], [0, 0, 7, 0, 2, 5, 9, 0, 0], [0, 8, 5, 7, 0, 6, 2, 4, 0], [0, 1, 0, 0, 0, 3, 6, 7, 5], [0, 7, 6, 5, 0, 1, 4, 2, 9], [4, 5, 0, 6, 7, 0, 0, 0, 0], [0, 2, 8, 9, 1, 0, 5, 3, 0], [7, 0, 3, 8, 0, 0, 0, 0, 0], [5, 0, 1, 0, 6, 2, 0, 9, 8]], "solution": [[2, 6, 4, 1, 9, 8, 3, 5, 7], [1, 3, 7, 4, 2, 5, 9, 8, 6], [9, 8, 5, 7, 3, 6, 2, 4, 1], [8, 1, 9, 2, 4, 3, 6, 7, 5], [3, 7, 6, 5, 8, 1, 4, 2, 9], [4, 5, 2, 6, 7, 9, 8, 1, 3], [6, 2, 8, 9, 1, 7, 5, 3, 4], [7, 9, 3, 8, 5, 4, 1, 6, 2], [5, 4, 1, 3, 6, 2, 7, 9, 8]], "num_empty": 34, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n2 _ _ 1 9 8 _ 5 7\n_ _ 7 _ 2 5 9 _ _\n_ 8 5 7 _ 6 2 4 _\n_ 1 _ _ _ 3 6 7 5\n_ 7 6 5 _ 1 4 2 9\n4 5 _ 6 7 _ _ _ _\n_ 2 8 9 1 _ 5 3 _\n7 _ 3 8 _ _ _ _ _\n5 _ 1 _ 6 2 _ 9 8\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.0422513484954834, "_task": "rg", "_level": 0}
|
Solve this Sudoku puzzle:
2 _ _ 1 9 8 _ 5 7
_ _ 7 _ 2 5 9 _ _
_ 8 5 7 _ 6 2 4 _
_ 1 _ _ _ 3 6 7 5
_ 7 6 5 _ 1 4 2 9
4 5 _ 6 7 _ _ _ _
_ 2 8 9 1 _ 5 3 _
7 _ 3 8 _ _ _ _ _
5 _ 1 _ 6 2 _ 9 8
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
|
rg
|
30 - 47 + 52 + 93
|
{"source_dataset": "countdown", "source_index": 0, "numbers": [47, 30, 93, 52], "target": 128, "expression": "30 - 47 + 52 + 93", "difficulty": {"numbers": [4, 6], "target": [100, 999], "value": [1, 100]}, "task_name": "RG.countdown", "_question": "Using all the numbers 47, 30, 93, 52, create an expression that equals 128.\nYou can only use each number 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": 0.004309892654418945, "_task": "rg", "_level": 0}
|
Using all the numbers 47, 30, 93, 52, create an expression that equals 128.
You can only use each number 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
|
EDCDDCDBDDDBDEAABA
|
{"source_dataset": "string_insertion", "source_index": 0, "string": "EDCDDCDBDDDBDEAABA", "solution": "EDCDDCDBDDDBDEAABA", "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: EDCDDCDBDDDBDEAABA\n", "_time": 0.00011301040649414062, "_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: EDCDDCDBDDDBDEAABA
|
rg
|
right down
|
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["O", "X", "O", "*", "O", "O"], ["O", "X", "O", "O", "#", "X"], ["O", "O", "O", "X", "O", "O"], ["X", "O", "X", "X", "X", "X"], ["O", "X", "X", "O", "O", "X"], ["X", "O", "O", "X", "X", "X"], ["O", "X", "O", "X", "X", "X"]], "solution": ["right", "down"], "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 * O O\nO X O O # X\nO O O X O O\nX O X X X X\nO X X O O X\nX O O X X X\nO X O X X X\n", "_time": 0.00012731552124023438, "_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 * O O
O X O O # X
O O O X O O
X O X X X X
O X X O O X
X O O X X X
O X O X X X
|
rg
|
['53.8', '-45.0', '-83.48']
|
{"source_dataset": "number_sorting", "source_index": 0, "original_numbers": ["-45.0", "-83.48", "53.8"], "direction": "descending", "sorted_numbers": ["53.8", "-45.0", "-83.48"], "numbers": 3, "difficulty": {"numbers": [3, 10], "decimals": [0, 2], "value": [-100.0, 100.0]}, "task_name": "RG.number_sorting", "_question": "Sort these numbers in descending order: -45.0, -83.48, 53.8\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": 0.0001628398895263672, "_task": "rg", "_level": 0}
|
Sort these numbers in descending order: -45.0, -83.48, 53.8
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
|
33 days, 11:08:00
|
{"source_dataset": "time_intervals", "source_index": 0, "task_type": "datetime", "start_time": "1921-06-15 12:35:00", "end_time": "1921-07-18 23:43:00", "format": "%Y-%m-%d %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 system backup started at 1921-06-15 12:35 and completed at 1921-07-18 23:43. What was the total backup duration? Answer in D days, HH:MM:SS.", "_time": 0.0002627372741699219, "_task": "rg", "_level": 0}
|
A system backup started at 1921-06-15 12:35 and completed at 1921-07-18 23:43. What was the total backup duration? Answer in D days, HH:MM:SS.
|
rg
|
mother
|
{"source_dataset": "family_relationships", "source_index": 0, "person1": "Sophie", "person2": "William", "relationship": "mother", "family_size": 6, "difficulty": {"family_size": [4, 8]}, "task_name": "RG.family_relationships", "_question": "Peter is married to Willow. They have a child called Jack. Jack is married to Sophie. They have children called William and Luna.\n\nWhat relation is Sophie to William? Answer with a single word.", "_time": 0.00013566017150878906, "_task": "rg", "_level": 0}
|
Peter is married to Willow. They have a child called Jack. Jack is married to Sophie. They have children called William and Luna.
What relation is Sophie to William? Answer with a single word.
|
rg
|
#A #A
|
{"source_dataset": "ab", "source_index": 0, "difficulty": {"length": 10}, "task_name": "RG.ab", "_question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n A# #A ... becomes ... nothing\n A# #B ... becomes ... #B A#\n B# #A ... becomes ... #A B#\n B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nA# #A #A A# B# #B B# #B #A #A\n\nReturn the final state of the program.\n", "_time": 9.131431579589844e-05, "_task": "rg", "_level": 0}
|
A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.
An A::B program is a sequence of tokens. Example:
B# A# #B #A B#
To *compute* a program, we must rewrite neighbor tokens, using the rules:
A# #A ... becomes ... nothing
A# #B ... becomes ... #B A#
B# #A ... becomes ... #A B#
B# #B ... becomes ... nothing
In other words, whenever two neighbor tokens have their '#' facing each-other,
they must be rewritten according to the corresponding rule.
Now, consider the following program:
A# #A #A A# B# #B B# #B #A #A
Return the final state of the program.
|
rg
|
False
|
{"source_dataset": "course_schedule", "source_index": 0, "courses": [0, 2, 6, 3, 8, 1, 9, 5, 7, 4], "prerequisites": [[4, 0], [6, 0], [5, 2], [3, 6], [2, 0], [4, 5], [7, 4], [6, 2], [7, 2], [9, 2], [3, 0], [1, 6], [7, 9], [9, 3], [4, 2], [8, 0], [5, 7]], "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 10 courses you have to take, labeled from 0 to 9.\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), (6, 0), (5, 2), (3, 6), (2, 0), (4, 5), (7, 4), (6, 2), (7, 2), (9, 2), (3, 0), (1, 6), (7, 9), (9, 3), (4, 2), (8, 0), (5, 7)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.0001575946807861328, "_task": "rg", "_level": 0}
|
There are a total of 10 courses you have to take, labeled from 0 to 9.
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), (6, 0), (5, 2), (3, 6), (2, 0), (4, 5), (7, 4), (6, 2), (7, 2), (9, 2), (3, 0), (1, 6), (7, 9), (9, 3), (4, 2), (8, 0), (5, 7)]
Return True if you can finish all courses considering the prerequisites, or False otherwise.
|
rg
|
{"m": 91, "s": "())(()", "l": [23, 99, 49, 31, 91, 26, 77], "k": 9}
|
{"source_dataset": "codeio", "source_index": 0, "input_data": {"m": 91, "s": "())(()", "l": [23, 99, 49, 31, 91, 26, 77], "k": 9}, "output_data": {"prime_partition_result": true, "nesting_depth_result": -1, "rotate_list_result": [49, 31, 91, 26, 77, 23, 99]}, "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 positive integer `m`, a string `s` containing brackets, a list `l`, and a positive integer `k`, determine the following:\n1. Can `m` be expressed as the sum of two prime numbers?\n2. What is the maximum depth of nested brackets in `s`?\n3. What is the state of the list `l` after `k` rotations?\n\nThe input and output requirements are as follows:\n\nInput:\n `m` (int): A positive integer to check if it can be partitioned into two prime numbers.\n `s` (str): A string containing brackets to determine the maximum nesting depth.\n `l` (list): A list of elements to be rotated.\n `k` (int): A positive integer representing the number of rotations to perform on the list.\n\nOutput:\n `return` (dict): A dictionary containing the results of the three operations:\n - `prime_partition_result` (bool): True if `m` can be partitioned into two prime numbers, False otherwise.\n - `nesting_depth_result` (int): The maximum nesting depth of brackets in `s`, or -1 if the string is not properly matched.\n - `rotate_list_result` (list): The list `l` after `k` rotations.\n\nGiven the following output:\n\n{'prime_partition_result': True, 'nesting_depth_result': -1, 'rotate_list_result': [49, 31, 91, 26, 77, 23, 99]}\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 random\n\n# all class and function definitions in the code file, if any\ndef isP(n):\n if n == 2:\n return True\n if n % 2 == 0:\n return False\n return all(n % x > 0 for x in range(3, int(n**0.5) + 1, 2))\n\ndef genP(n):\n p = [2]\n p.extend([x for x in range(3, n + 1, 2) if isP(x)])\n return p\n\ndef primepartition(n):\n p = genP(n)\n for i in range(len(p)):\n for j in range(len(p)):\n if p[i] + p[j] == n:\n return True\n return False\n\ndef nestingdepth(s):\n current_max = 0\n max_depth = 0\n n = len(s)\n\n for i in range(n):\n if s[i] == '(':\n current_max += 1\n if current_max > max_depth:\n max_depth = current_max\n elif s[i] == ')':\n if current_max > 0:\n current_max -= 1\n else:\n return -1\n\n if current_max != 0:\n return -1\n\n return max_depth\n\ndef rotatelist(l, k):\n k = k % len(l)\n return l[k:] + l[:k]\n\n# main function\ndef main_solution(m, s, l, k):\n # Convert JSON serializable inputs to original input variables\n m = int(m)\n s = str(s)\n l = list(l)\n k = int(k)\n\n # Invoke the functions with the converted inputs\n prime_partition_result = primepartition(m)\n nesting_depth_result = nestingdepth(s)\n rotate_list_result = rotatelist(l, k)\n\n # Convert the results to JSON serializable outputs\n return {\n \"prime_partition_result\": prime_partition_result,\n \"nesting_depth_result\": nesting_depth_result,\n \"rotate_list_result\": rotate_list_result\n }\n", "_time": 0.08054065704345703, "_task": "rg", "_level": 0}
|
You are given a question that requires some input and output variables as follows:
Given a positive integer `m`, a string `s` containing brackets, a list `l`, and a positive integer `k`, determine the following:
1. Can `m` be expressed as the sum of two prime numbers?
2. What is the maximum depth of nested brackets in `s`?
3. What is the state of the list `l` after `k` rotations?
The input and output requirements are as follows:
Input:
`m` (int): A positive integer to check if it can be partitioned into two prime numbers.
`s` (str): A string containing brackets to determine the maximum nesting depth.
`l` (list): A list of elements to be rotated.
`k` (int): A positive integer representing the number of rotations to perform on the list.
Output:
`return` (dict): A dictionary containing the results of the three operations:
- `prime_partition_result` (bool): True if `m` can be partitioned into two prime numbers, False otherwise.
- `nesting_depth_result` (int): The maximum nesting depth of brackets in `s`, or -1 if the string is not properly matched.
- `rotate_list_result` (list): The list `l` after `k` rotations.
Given the following output:
{'prime_partition_result': True, 'nesting_depth_result': -1, 'rotate_list_result': [49, 31, 91, 26, 77, 23, 99]}
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 random
# all class and function definitions in the code file, if any
def isP(n):
if n == 2:
return True
if n % 2 == 0:
return False
return all(n % x > 0 for x in range(3, int(n**0.5) + 1, 2))
def genP(n):
p = [2]
p.extend([x for x in range(3, n + 1, 2) if isP(x)])
return p
def primepartition(n):
p = genP(n)
for i in range(len(p)):
for j in range(len(p)):
if p[i] + p[j] == n:
return True
return False
def nestingdepth(s):
current_max = 0
max_depth = 0
n = len(s)
for i in range(n):
if s[i] == '(':
current_max += 1
if current_max > max_depth:
max_depth = current_max
elif s[i] == ')':
if current_max > 0:
current_max -= 1
else:
return -1
if current_max != 0:
return -1
return max_depth
def rotatelist(l, k):
k = k % len(l)
return l[k:] + l[:k]
# main function
def main_solution(m, s, l, k):
# Convert JSON serializable inputs to original input variables
m = int(m)
s = str(s)
l = list(l)
k = int(k)
# Invoke the functions with the converted inputs
prime_partition_result = primepartition(m)
nesting_depth_result = nestingdepth(s)
rotate_list_result = rotatelist(l, k)
# Convert the results to JSON serializable outputs
return {
"prime_partition_result": prime_partition_result,
"nesting_depth_result": nesting_depth_result,
"rotate_list_result": rotate_list_result
}
|
rg
|
1
|
{"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 7 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": 0.00020837783813476562, "_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 7 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
|
496
|
{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 6, "known_angles": [16.0, 31.0, 134.0, 25.0, 18.0], "sum_of_known_angles": 224.0, "missing_angle_raw": 496.0, "missing_angle_rounded": 496, "total_interior_sum": 720, "difficulty": {"sides": [3, 6]}, "task_name": "RG.simple_geometry", "_question": "Consider a convex 6-gon whose first 5 interior angles are: 16.0\u00b0, 31.0\u00b0, 134.0\u00b0, 25.0\u00b0, 18.0\u00b0. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.", "_time": 0.00010991096496582031, "_task": "rg", "_level": 0}
|
Consider a convex 6-gon whose first 5 interior angles are: 16.0°, 31.0°, 134.0°, 25.0°, 18.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
|
rg
|
948945394.691
|
{"source_dataset": "number_format", "source_index": 0, "candidates": [948945404.536, 948945394.691, 948945401.8790001, 948945413.433], "solution": 948945394.691, "formatted_candidates": ["948945404.536000", "948,945,394.691", "948,945,401.8790001", "9.489454134330000e+08"], "size": "smallest", "num_candidates": 4, "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: 948945404.536000 948,945,394.691 948,945,401.8790001 9.489454134330000e+08\n", "_time": 0.00014328956604003906, "_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: 948945404.536000 948,945,394.691 948,945,401.8790001 9.489454134330000e+08
|
rg
|
122.21
|
{"source_dataset": "decimal_chain_sum", "source_index": 0, "num_terms": 2, "num_digits": 3, "expression": "324.71 - 202.5", "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4], "decimal_places": [1, 4]}, "task_name": "RG.decimal_chain_sum", "_question": "State the final answer to the following arithmetic problem: 324.71 - 202.5 =", "_time": 0.00010919570922851562, "_task": "rg", "_level": 0}
|
State the final answer to the following arithmetic problem: 324.71 - 202.5 =
|
rg
|
None
|
{"source_dataset": "boxnet", "source_index": 0, "row_num": 2, "column_num": 3, "initial_state": {"0.5_0.5": ["target_blue"], "0.5_1.5": [], "0.5_2.5": ["box_blue", "box_green"], "1.5_0.5": ["target_red"], "1.5_1.5": [], "1.5_2.5": ["box_red", "target_green"]}, "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 ['target_blue'], I can do []\nAgent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe [], I can do []\nAgent[0.5, 2.5]: I am in square[0.5, 2.5], I can observe ['box_blue', 'box_green'], I can do ['move(box_blue, square[1.5, 2.5])', 'move(box_blue, square[0.5, 1.5])', 'move(box_green, square[1.5, 2.5])', 'move(box_green, square[0.5, 1.5])']\nAgent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red'], I can do []\nAgent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe [], I can do []\nAgent[1.5, 2.5]: I am in square[1.5, 2.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[0.5, 2.5])', 'move(box_red, square[1.5, 1.5])']\n\n", "_time": 0.00023651123046875, "_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 ['target_blue'], I can do []
Agent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe [], I can do []
Agent[0.5, 2.5]: I am in square[0.5, 2.5], I can observe ['box_blue', 'box_green'], I can do ['move(box_blue, square[1.5, 2.5])', 'move(box_blue, square[0.5, 1.5])', 'move(box_green, square[1.5, 2.5])', 'move(box_green, square[0.5, 1.5])']
Agent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red'], I can do []
Agent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe [], I can do []
Agent[1.5, 2.5]: I am in square[1.5, 2.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[0.5, 2.5])', 'move(box_red, square[1.5, 1.5])']
|
rg
|
7
|
{"source_dataset": "products", "source_index": 0, "expression": "1 * 7", "num_terms": 2, "num_digits": 1, "difficulty": {"num_terms": [2, 2], "num_digits": [1, 5]}, "task_name": "RG.products", "_question": "Solve the following multiplication: 1 * 7. Give only the result as your final answer.", "_time": 7.915496826171875e-05, "_task": "rg", "_level": 0}
|
Solve the following multiplication: 1 * 7. Give only the result as your final answer.
|
rg
|
9
|
{"source_dataset": "binary_alternation", "source_index": 0, "string": "11111010100110000001001010011", "solution": 9, "solvable": true, "n": 29, "difficulty": {"n": [10, 30]}, "task_name": "RG.binary_alternation", "_question": "Given a binary string, return the minimum number of character swaps to make it alternating, or -1 if it is impossible.\n\nThe string is called alternating if no two adjacent characters are equal. For example, the strings \"010\" and \"1010\" are alternating, while the string \"0100\" is not.\n\nAny two characters may be swapped, even if they are not adjacent.\n\nNow, determine the minimum number of swaps to make the following binary string alternating: 11111010100110000001001010011\n", "_time": 9.655952453613281e-05, "_task": "rg", "_level": 0}
|
Given a binary string, return the minimum number of character swaps to make it alternating, or -1 if it is impossible.
The string is called alternating if no two adjacent characters are equal. For example, the strings "010" and "1010" are alternating, while the string "0100" is not.
Any two characters may be swapped, even if they are not adjacent.
Now, determine the minimum number of swaps to make the following binary string alternating: 11111010100110000001001010011
|
rg
|
0 0 0 1 0 4
|
{"source_dataset": "string_splitting", "source_index": 0, "states": [[1, 3, 5, 0, 0, 0], [0, 3, 5, 2, 1, 0], [0, 1, 5, 3, 1, 0], [0, 1, 3, 3, 2, 0], [0, 1, 1, 3, 3, 0], [1, 0, 0, 3, 3, 0], [0, 0, 0, 5, 4, 0], [0, 0, 0, 4, 3, 1], [0, 0, 0, 3, 2, 2], [0, 0, 0, 2, 1, 3], [0, 0, 0, 1, 0, 4]], "solution": [0, 0, 0, 1, 0, 4], "initial_machines": [1, 3, 5], "difficulty": {"initial_machines": [0, 5]}, "task_name": "RG.string_splitting", "_question": "There is a dismantling engineer who has old machines A, B, and C.\nHe discovered that he can obtain a batch of new parts X, Y, Z through the following rules:\n1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.\n2. Two units of machine B can be dismanteled into one unit of part X.\n3. Two units of machine C can be dismanteled into one unit of part Y.\n4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.\n5. One unit of part X and one unit of part Y can be combined into one unit of part Z.\n\nGiven a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.\nAfter you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.\n\nThe output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.\nFor example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.\n\nNow, you have 1 machine A, 3 machine B, and 5 machine C. Provide the count of each machine and part 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 of each machine and part type.\n", "_time": 0.0002636909484863281, "_task": "rg", "_level": 0}
|
There is a dismantling engineer who has old machines A, B, and C.
He discovered that he can obtain a batch of new parts X, Y, Z through the following rules:
1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.
2. Two units of machine B can be dismanteled into one unit of part X.
3. Two units of machine C can be dismanteled into one unit of part Y.
4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.
5. One unit of part X and one unit of part Y can be combined into one unit of part Z.
Given a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.
After you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.
The output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.
For example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.
Now, you have 1 machine A, 3 machine B, and 5 machine C. Provide the count of each machine and part 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 of each machine and part type.
|
rg
|
Peng
|
{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "H", "remove": "K", "cards": "UXORHELHYFTFH", "result": "Peng"}, {"add": "D", "remove": "U", "cards": "XORHELHYFTFHD", "result": "Chi"}, {"add": "Q", "remove": "H", "cards": "XORELHYFTFHDQ", "result": "Pass"}, {"add": "C", "remove": "O", "cards": "XRELHYFTFHDQC", "result": "Chi"}, {"add": "K", "remove": "X", "cards": "RELHYFTFHDQCK", "result": "Pass"}, {"add": "G", "remove": "Q", "cards": "RELHYFTFHDCKG", "result": "Chi"}, {"add": "F", "remove": "T", "cards": "RELHYFFHDCKGF", "result": "Peng"}, {"add": "K", "remove": "L", "cards": "REHYFFHDCKGFK", "result": "Pass"}, {"add": "I", "remove": "H", "cards": "REYFFHDCKGFKI", "result": "Pass"}, {"add": "K", "remove": "F", "cards": "REYFHDCKGFKIK", "result": "Peng"}, {"add": "H", "remove": "E", "cards": "RYFHDCKGFKIKH", "result": "Chi"}, {"add": "D", "remove": "I", "cards": "RYFHDCKGFKKHD", "result": "Pass"}, {"add": "E", "remove": "D", "cards": "RYFHCKGFKKHDE", "result": "Chi"}, {"add": "I", "remove": "G", "cards": "RYFHCKFKKHDEI", "result": "Pass"}, {"add": "D", "remove": "D", "cards": "RYFHCKFKKHEID", "result": "Chi"}, {"add": "F", "remove": "H", "cards": "RYFCKFKKHEIDF", "result": "Peng"}], "solution": "Peng", "difficulty": {"num_rounds": [10, 50]}, "task_name": "RG.mahjong_puzzle", "_question": "There are several letter cards, and the game rules are as follows:\n1. Initially, there are 13 cards.\n2. Each time, a new card is added, and a result is determined. Then, one card is removed.\n3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as \"Peng\".\n4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as \"Chi\". For example: ABC, BCD, CDE, etc.\n5. If the new card does not meet the conditions of 3 and 4, the result is determined as \"Pass\".\n6. \"Peng\" takes precedence over \"Chi\".\n7. The card that is removed does not affect the result determination of the current round.\n\nYour output should be one of the following: \"Peng\", \"Chi\", or \"Pass\" (without quotes).\n\nNow, given the initial cards UKXORHELHYFTF, what is the result at the end of performing the following rounds of operations:\nRound 1: Add a H card and remove a K card.\nRound 2: Add a D card and remove an U card.\nRound 3: Add a Q card and remove a H card.\nRound 4: Add a C card and remove an O card.\nRound 5: Add a K card and remove a X card.\nRound 6: Add a G card and remove a Q card.\nRound 7: Add a F card and remove a T card.\nRound 8: Add a K card and remove a L card.\nRound 9: Add an I card and remove a H card.\nRound 10: Add a K card and remove a F card.\nRound 11: Add a H card and remove an E card.\nRound 12: Add a D card and remove an I card.\nRound 13: Add an E card and remove a D card.\nRound 14: Add an I card and remove a G card.\nRound 15: Add a D card and remove a D card.\nRound 16: Add a F card and remove a H card.\n", "_time": 0.0006899833679199219, "_task": "rg", "_level": 0}
|
There are several letter cards, and the game rules are as follows:
1. Initially, there are 13 cards.
2. Each time, a new card is added, and a result is determined. Then, one card is removed.
3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as "Peng".
4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as "Chi". For example: ABC, BCD, CDE, etc.
5. If the new card does not meet the conditions of 3 and 4, the result is determined as "Pass".
6. "Peng" takes precedence over "Chi".
7. The card that is removed does not affect the result determination of the current round.
Your output should be one of the following: "Peng", "Chi", or "Pass" (without quotes).
Now, given the initial cards UKXORHELHYFTF, what is the result at the end of performing the following rounds of operations:
Round 1: Add a H card and remove a K card.
Round 2: Add a D card and remove an U card.
Round 3: Add a Q card and remove a H card.
Round 4: Add a C card and remove an O card.
Round 5: Add a K card and remove a X card.
Round 6: Add a G card and remove a Q card.
Round 7: Add a F card and remove a T card.
Round 8: Add a K card and remove a L card.
Round 9: Add an I card and remove a H card.
Round 10: Add a K card and remove a F card.
Round 11: Add a H card and remove an E card.
Round 12: Add a D card and remove an I card.
Round 13: Add an E card and remove a D card.
Round 14: Add an I card and remove a G card.
Round 15: Add a D card and remove a D card.
Round 16: Add a F card and remove a H card.
|
rg
|
0 1 0 1 0 0 0 0 0
|
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[1, 2, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0]], "solution": [0, 1, 0, 1, 0, 0, 0, 0, 0], "initial_blocks": [1, 2, 1], "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 1 [A], 2 [B], and 1 [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": 9.465217590332031e-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 1 [A], 2 [B], and 1 [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
|
able, are, modern, positively, regard, stage
|
{"source_dataset": "word_sorting", "source_index": 0, "original_words": ["modern", "are", "regard", "positively", "able", "stage"], "sorted_words": ["able", "are", "modern", "positively", "regard", "stage"], "transformed_words": ["modern", "are", "regard", "positively", "able", "stage"], "direction": "ascending", "num_words": 6, "word_length": 10, "difficulty": {"num_words": [3, 10], "word_length": [3, 12]}, "task_name": "RG.word_sorting", "_question": "Your task is to sort words in ascending or descending order using ASCII/Unicode ordering.\n\nYour output should be a comma-separated list of words, e.g. word_1, word_2, word_3\n\nNow, sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list: modern, are, regard, positively, able, stage\n", "_time": 0.003377199172973633, "_task": "rg", "_level": 0}
|
Your task is to sort words in ascending or descending order using ASCII/Unicode ordering.
Your output should be a comma-separated list of words, e.g. word_1, word_2, word_3
Now, sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list: modern, are, regard, positively, able, stage
|
rg
|
8 4 4 8
8 2 7 8
2 1 9 2
2 9 4 9
|
{"source_dataset": "rotate_matrix", "source_index": 0, "matrix": [[9, 4, 9, 2], [2, 9, 1, 2], [8, 7, 2, 8], [8, 4, 4, 8]], "num_rotations": 6, "solution": [[8, 4, 4, 8], [8, 2, 7, 8], [2, 1, 9, 2], [2, 9, 4, 9]], "n": 4, "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 540 degrees clockwise:\n9 4 9 2\n2 9 1 2\n8 7 2 8\n8 4 4 8\n", "_time": 0.00014519691467285156, "_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 540 degrees clockwise:
9 4 9 2
2 9 1 2
8 7 2 8
8 4 4 8
|
rg
|
3 7 2 1 4 8 5 6 9
1 4 6 9 5 2 3 8 7
5 8 9 3 6 7 1 2 4
9 2 4 6 8 3 7 1 5
6 3 7 2 1 5 4 9 8
8 1 5 7 9 4 6 3 2
2 9 1 5 7 6 8 4 3
7 6 8 4 3 9 2 5 1
4 5 3 8 2 1 9 7 6
|
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[3, 7, 0, 0, 4, 8, 5, 0, 9], [1, 4, 6, 0, 5, 2, 3, 0, 7], [5, 0, 0, 0, 0, 0, 1, 0, 0], [9, 2, 0, 0, 8, 3, 7, 0, 0], [6, 3, 7, 2, 1, 5, 0, 0, 8], [0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 1, 0, 7, 6, 0, 4, 0], [0, 6, 0, 0, 0, 0, 0, 5, 1], [0, 5, 3, 8, 0, 1, 0, 7, 0]], "solution": [[3, 7, 2, 1, 4, 8, 5, 6, 9], [1, 4, 6, 9, 5, 2, 3, 8, 7], [5, 8, 9, 3, 6, 7, 1, 2, 4], [9, 2, 4, 6, 8, 3, 7, 1, 5], [6, 3, 7, 2, 1, 5, 4, 9, 8], [8, 1, 5, 7, 9, 4, 6, 3, 2], [2, 9, 1, 5, 7, 6, 8, 4, 3], [7, 6, 8, 4, 3, 9, 2, 5, 1], [4, 5, 3, 8, 2, 1, 9, 7, 6]], "num_empty": 41, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n3 7 _ _ 4 8 5 _ 9\n1 4 6 _ 5 2 3 _ 7\n5 _ _ _ _ _ 1 _ _\n9 2 _ _ 8 3 7 _ _\n6 3 7 2 1 5 _ _ 8\n_ _ _ _ _ _ 6 _ _\n_ _ 1 _ 7 6 _ 4 _\n_ 6 _ _ _ _ _ 5 1\n_ 5 3 8 _ 1 _ 7 _\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.008997678756713867, "_task": "rg", "_level": 0}
|
Solve this Sudoku puzzle:
3 7 _ _ 4 8 5 _ 9
1 4 6 _ 5 2 3 _ 7
5 _ _ _ _ _ 1 _ _
9 2 _ _ 8 3 7 _ _
6 3 7 2 1 5 _ _ 8
_ _ _ _ _ _ 6 _ _
_ _ 1 _ 7 6 _ 4 _
_ 6 _ _ _ _ _ 5 1
_ 5 3 8 _ 1 _ 7 _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
|
rg
|
['-47.7', '-18.0', '14.09', '29.6', '70.93', '93.0', '94.0']
|
{"source_dataset": "number_sorting", "source_index": 0, "original_numbers": ["93.0", "94.0", "-47.7", "14.09", "29.6", "70.93", "-18.0"], "direction": "ascending", "sorted_numbers": ["-47.7", "-18.0", "14.09", "29.6", "70.93", "93.0", "94.0"], "numbers": 7, "difficulty": {"numbers": [3, 10], "decimals": [0, 2], "value": [-100.0, 100.0]}, "task_name": "RG.number_sorting", "_question": "Sort these numbers in ascending order: 93.0, 94.0, -47.7, 14.09, 29.6, 70.93, -18.0\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": 0.0002715587615966797, "_task": "rg", "_level": 0}
|
Sort these numbers in ascending order: 93.0, 94.0, -47.7, 14.09, 29.6, 70.93, -18.0
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
|
6
|
{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1], [2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1], [0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0], [0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1], [1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "solution": 6, "n": 20, "difficulty": {"n": [10, 30]}, "task_name": "RG.rotten_oranges", "_question": "You are given an n x n grid where each cell can have one of three values:\n- 0 representing an empty cell\n- 1 representing a fresh orange\n- 2 representing a rotten orange\n\nEvery minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.\n\nYour task is determine the minimum number of minutes that must elapse until no cell has a fresh orange.\nIf this is impossible, return -1.\n\nNow, determine the minimum number of minutes that must elapse until no cell in the grid below has a fresh orange:\n2 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1\n1 0 1 1 1 1 0 1 1 1 1 0 1 0 2 1 0 0 1 1\n2 1 1 1 0 1 1 2 1 1 0 1 1 1 1 1 1 1 0 1\n1 2 1 1 0 2 1 2 1 1 1 1 1 0 1 1 1 2 0 1\n0 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0\n0 1 1 0 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 0 0 0 1 1\n1 1 1 1 2 0 1 1 1 0 1 1 2 0 1 1 1 1 1 1\n0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 2 1\n1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0\n0 1 1 1 0 0 2 1 1 1 1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1\n1 2 1 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 1\n1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 1 0 1 1 1\n1 2 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1\n1 1 0 0 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1\n1 0 0 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 1 2\n1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1\n1 1 0 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1\n", "_time": 0.0005095005035400391, "_task": "rg", "_level": 0}
|
You are given an n x n grid where each cell can have one of three values:
- 0 representing an empty cell
- 1 representing a fresh orange
- 2 representing a rotten orange
Every minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.
Your task is determine the minimum number of minutes that must elapse until no cell has a fresh orange.
If this is impossible, return -1.
Now, determine the minimum number of minutes that must elapse until no cell in the grid below has a fresh orange:
2 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
1 0 1 1 1 1 0 1 1 1 1 0 1 0 2 1 0 0 1 1
2 1 1 1 0 1 1 2 1 1 0 1 1 1 1 1 1 1 0 1
1 2 1 1 0 2 1 2 1 1 1 1 1 0 1 1 1 2 0 1
0 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0
0 1 1 0 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1
1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 0 0 0 1 1
1 1 1 1 2 0 1 1 1 0 1 1 2 0 1 1 1 1 1 1
0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 2 1
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0
0 1 1 1 0 0 2 1 1 1 1 1 1 1 1 1 0 1 1 1
1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1
1 2 1 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 1
1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 1 0 1 1 1
1 2 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1
1 1 0 0 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1
1 0 0 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 1 2
1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1
1 1 0 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1
|
rg
|
Chi
|
{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "J", "remove": "A", "cards": "FXHTHBPKPODLJ", "result": "Chi"}, {"add": "N", "remove": "B", "cards": "FXHTHPKPODLJN", "result": "Chi"}, {"add": "P", "remove": "P", "cards": "FXHTHKPODLJNP", "result": "Peng"}, {"add": "J", "remove": "T", "cards": "FXHHKPODLJNPJ", "result": "Chi"}, {"add": "L", "remove": "L", "cards": "FXHHKPODJNPJL", "result": "Chi"}, {"add": "Z", "remove": "F", "cards": "XHHKPODJNPJLZ", "result": "Pass"}, {"add": "M", "remove": "N", "cards": "XHHKPODJPJLZM", "result": "Chi"}, {"add": "G", "remove": "P", "cards": "XHHKODJPJLZMG", "result": "Pass"}, {"add": "M", "remove": "M", "cards": "XHHKODJPJLZGM", "result": "Chi"}, {"add": "M", "remove": "X", "cards": "HHKODJPJLZGMM", "result": "Pass"}, {"add": "M", "remove": "P", "cards": "HHKODJJLZGMMM", "result": "Peng"}, {"add": "N", "remove": "M", "cards": "HHKODJJLZGMMN", "result": "Chi"}, {"add": "K", "remove": "J", "cards": "HHKODJLZGMMNK", "result": "Chi"}, {"add": "K", "remove": "G", "cards": "HHKODJLZMMNKK", "result": "Peng"}, {"add": "K", "remove": "M", "cards": "HHKODJLZMNKKK", "result": "Chi"}, {"add": "W", "remove": "D", "cards": "HHKOJLZMNKKKW", "result": "Pass"}, {"add": "K", "remove": "K", "cards": "HHOJLZMNKKKWK", "result": "Peng"}, {"add": "H", "remove": "H", "cards": "HOJLZMNKKKWKH", "result": "Peng"}, {"add": "B", "remove": "L", "cards": "HOJZMNKKKWKHB", "result": "Pass"}, {"add": "Z", "remove": "K", "cards": "HOJZMNKKWKHBZ", "result": "Pass"}, {"add": "I", "remove": "N", "cards": "HOJZMKKWKHBZI", "result": "Chi"}, {"add": "K", "remove": "K", "cards": "HOJZMKWKHBZIK", "result": "Peng"}, {"add": "I", "remove": "Z", "cards": "HOJMKWKHBZIKI", "result": "Chi"}, {"add": "K", "remove": "M", "cards": "HOJKWKHBZIKIK", "result": "Chi"}], "solution": "Chi", "difficulty": {"num_rounds": [10, 50]}, "task_name": "RG.mahjong_puzzle", "_question": "There are several letter cards, and the game rules are as follows:\n1. Initially, there are 13 cards.\n2. Each time, a new card is added, and a result is determined. Then, one card is removed.\n3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as \"Peng\".\n4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as \"Chi\". For example: ABC, BCD, CDE, etc.\n5. If the new card does not meet the conditions of 3 and 4, the result is determined as \"Pass\".\n6. \"Peng\" takes precedence over \"Chi\".\n7. The card that is removed does not affect the result determination of the current round.\n\nYour output should be one of the following: \"Peng\", \"Chi\", or \"Pass\" (without quotes).\n\nNow, given the initial cards FXHTHBPKPODLA, what is the result at the end of performing the following rounds of operations:\nRound 1: Add a J card and remove an A card.\nRound 2: Add a N card and remove a B card.\nRound 3: Add a P card and remove a P card.\nRound 4: Add a J card and remove a T card.\nRound 5: Add a L card and remove a L card.\nRound 6: Add a Z card and remove a F card.\nRound 7: Add a M card and remove a N card.\nRound 8: Add a G card and remove a P card.\nRound 9: Add a M card and remove a M card.\nRound 10: Add a M card and remove a X card.\nRound 11: Add a M card and remove a P card.\nRound 12: Add a N card and remove a M card.\nRound 13: Add a K card and remove a J card.\nRound 14: Add a K card and remove a G card.\nRound 15: Add a K card and remove a M card.\nRound 16: Add a W card and remove a D card.\nRound 17: Add a K card and remove a K card.\nRound 18: Add a H card and remove a H card.\nRound 19: Add a B card and remove a L card.\nRound 20: Add a Z card and remove a K card.\nRound 21: Add an I card and remove a N card.\nRound 22: Add a K card and remove a K card.\nRound 23: Add an I card and remove a Z card.\nRound 24: Add a K card and remove a M card.\n", "_time": 0.0012652873992919922, "_task": "rg", "_level": 0}
|
There are several letter cards, and the game rules are as follows:
1. Initially, there are 13 cards.
2. Each time, a new card is added, and a result is determined. Then, one card is removed.
3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as "Peng".
4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as "Chi". For example: ABC, BCD, CDE, etc.
5. If the new card does not meet the conditions of 3 and 4, the result is determined as "Pass".
6. "Peng" takes precedence over "Chi".
7. The card that is removed does not affect the result determination of the current round.
Your output should be one of the following: "Peng", "Chi", or "Pass" (without quotes).
Now, given the initial cards FXHTHBPKPODLA, what is the result at the end of performing the following rounds of operations:
Round 1: Add a J card and remove an A card.
Round 2: Add a N card and remove a B card.
Round 3: Add a P card and remove a P card.
Round 4: Add a J card and remove a T card.
Round 5: Add a L card and remove a L card.
Round 6: Add a Z card and remove a F card.
Round 7: Add a M card and remove a N card.
Round 8: Add a G card and remove a P card.
Round 9: Add a M card and remove a M card.
Round 10: Add a M card and remove a X card.
Round 11: Add a M card and remove a P card.
Round 12: Add a N card and remove a M card.
Round 13: Add a K card and remove a J card.
Round 14: Add a K card and remove a G card.
Round 15: Add a K card and remove a M card.
Round 16: Add a W card and remove a D card.
Round 17: Add a K card and remove a K card.
Round 18: Add a H card and remove a H card.
Round 19: Add a B card and remove a L card.
Round 20: Add a Z card and remove a K card.
Round 21: Add an I card and remove a N card.
Round 22: Add a K card and remove a K card.
Round 23: Add an I card and remove a Z card.
Round 24: Add a K card and remove a M card.
|
rg
|
B → B → C → C → B
|
{"source_dataset": "quantum_lock", "source_index": 0, "solution_path": ["B", "B", "C", "C", "B"], "target_value": 18, "buttons": [{"name": "A", "type": "subtract", "value": 3, "active_state": "any"}, {"name": "B", "type": "add", "value": 2, "active_state": "any"}, {"name": "C", "type": "multiply", "value": 2, "active_state": "any"}], "initial_state": "red", "initial_value": 0, "difficulty": {"difficulty": 5}, "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: 18\nButtons:\nA: Subtract 3 (when any)\nB: Add 2 (when any)\nC: Multiply 2 (when any)", "_time": 0.00043463706970214844, "_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 '→', for example: A → B → C
Start: 0 (red)
Target: 18
Buttons:
A: Subtract 3 (when any)
B: Add 2 (when any)
C: Multiply 2 (when any)
|
rg
|
None
|
{"source_dataset": "propositional_logic", "source_index": 0, "premises": ["(P \u2192 Q)", "((P \u2228 Q) \u2194 (P \u2227 P))", "(\u00acP \u2192 \u00acQ)"], "variables": ["P", "Q"], "complexity": 4, "example_answer": "(\u00acP \u2228 Q)", "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. (P \u2192 Q)\n.2. ((P \u2228 Q) \u2194 (P \u2227 P))\n.3. (\u00acP \u2192 \u00acQ)\n.What can we conclude from the above statements?", "_time": 0.00019502639770507812, "_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 = ∨
- AND = ∧
- IMPLIES = →
- IFF = ↔
- NOT = ¬
Here is the question:
Given:
1. (P → Q)
.2. ((P ∨ Q) ↔ (P ∧ P))
.3. (¬P → ¬Q)
.What can we conclude from the above statements?
|
rg
|
D8
|
{"source_dataset": "tsumego", "source_index": 0, "board": [[".", ".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", "X", ".", ".", "X"], ["X", "O", "X", "X", ".", ".", ".", ".", ".", ".", "O", "."], [".", "X", "O", "O", "X", ".", ".", ".", ".", ".", ".", "X"], [".", "X", "O", ".", ".", ".", ".", ".", ".", ".", ".", "O"], [".", ".", "X", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", "O", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", "X", ".", ".", ".", ".", ".", ".", "O", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "X", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", "X", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."]], "board_size": 12, "difficulty": {"board_size": [9, 13]}, "task_name": "RG.tsumego", "_question": "Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible?\n\n```\n A B C D E F G H I J K L\n12 . . . . . . . . . . . .\n11 . . . . . . . . X . . X\n10 X O X X . . . . . . O .\n 9 . X O O X . . . . . . X\n 8 . X O . . . . . . . . O\n 7 . . X . . . . . . . . .\n 6 . . . . . . . . . . . .\n 5 . . O . . . . . . . . .\n 4 . X . . . . . . O . . .\n 3 . . . . . . . . . . X .\n 2 . . . . . . . . . . . .\n 1 . X . . . . . . . . . .\n```\n\nX - Black\nO - White\n\nSpecify your move in coordinates (e.g. 'C4' for column C, row 4)", "_time": 0.00028514862060546875, "_task": "rg", "_level": 0}
|
Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible?
```
A B C D E F G H I J K L
12 . . . . . . . . . . . .
11 . . . . . . . . X . . X
10 X O X X . . . . . . O .
9 . X O O X . . . . . . X
8 . X O . . . . . . . . O
7 . . X . . . . . . . . .
6 . . . . . . . . . . . .
5 . . O . . . . . . . . .
4 . X . . . . . . O . . .
3 . . . . . . . . . . X .
2 . . . . . . . . . . . .
1 . X . . . . . . . . . .
```
X - Black
O - White
Specify your move in coordinates (e.g. 'C4' for column C, row 4)
|
rg
|
8.322065346374798e-06
|
{"source_dataset": "power_function", "source_index": 0, "base": -346.6446, "exponent": -2, "solution": 8.322065346374798e-06, "difficulty": {"exponent": [0, 8]}, "task_name": "RG.power_function", "_question": "Your task is to compute an exponentiation of a number.\n\nCompute -346.6446^-2. Return your final answer correct to 3 significant figures.\nProvide your answer in scientific notation using 'e' notation (e.g., 1.23e+4).\n", "_time": 9.655952453613281e-05, "_task": "rg", "_level": 0}
|
Your task is to compute an exponentiation of a number.
Compute -346.6446^-2. Return your final answer correct to 3 significant figures.
Provide your answer in scientific notation using 'e' notation (e.g., 1.23e+4).
|
rg
|
B=6,I=8,L=7,N=0,O=4,Q=5,S=2,T=1,X=3
|
{"source_dataset": "cryptarithm", "source_index": 0, "letters": ["T", "S", "Q", "I", "B", "O", "L", "N", "X"], "word_values": [861, 3804, 13570], "sum_number": 18235, "words_letters": ["IBT", "XINO", "TXQLN"], "result_letters": "TISXQ", "digit_to_letter": {"1": "T", "2": "S", "5": "Q", "8": "I", "6": "B", "4": "O", "7": "L", "0": "N", "3": "X"}, "letter_to_digit": {"T": 1, "S": 2, "Q": 5, "I": 8, "B": 6, "O": 4, "L": 7, "N": 0, "X": 3}, "difficulty": {"words": [2, 3]}, "task_name": "RG.cryptarithm", "_question": "Solve this cryptarithm:\n\n IBT\n XINO\n+ TXQLN\n-------\n TISXQ\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": 0.0001811981201171875, "_task": "rg", "_level": 0}
|
Solve this cryptarithm:
IBT
XINO
+ TXQLN
-------
TISXQ
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
|
5 1 3
2 7 9
6 2 2
7 6 4
7 1 4
7 2 4
|
{"source_dataset": "manipulate_matrix", "source_index": 0, "matrix": [[5, 2, 1, 2, 3, 4], [2, 6, 7, 6, 9, 2], [6, 3, 2, 5, 2, 7], [7, 4, 6, 0, 4, 7], [7, 6, 1, 5, 4, 8], [7, 6, 2, 5, 4, 8]], "solution": [[5, 1, 3], [2, 7, 9], [6, 2, 2], [7, 6, 4], [7, 1, 4], [7, 2, 4]], "operations": [{"transform": "remove_every_nth_col", "n": 2, "instruction": "- Remove every 2-nd column (1-indexed)"}], "rows": 6, "cols": 6, "num_transforms": 1, "difficulty": {"rows": [2, 10], "cols": [2, 10], "num_transforms": [1, 10]}, "task_name": "RG.manipulate_matrix", "_question": "For the following matrix:\n5 2 1 2 3 4\n2 6 7 6 9 2\n6 3 2 5 2 7\n7 4 6 0 4 7\n7 6 1 5 4 8\n7 6 2 5 4 8\n\nPerform the following series of operations in order:\n- Identity transformation, i.e. no change\n- Remove every 2-nd column (1-indexed)\n", "_time": 0.00024580955505371094, "_task": "rg", "_level": 0}
|
For the following matrix:
5 2 1 2 3 4
2 6 7 6 9 2
6 3 2 5 2 7
7 4 6 0 4 7
7 6 1 5 4 8
7 6 2 5 4 8
Perform the following series of operations in order:
- Identity transformation, i.e. no change
- Remove every 2-nd column (1-indexed)
|
rg
|
[["haptenes", "heptanes", "stephane"], ["laggings", "slagging"]]
|
{"source_dataset": "group_anagrams", "source_index": 0, "words": ["laggings", "slagging", "haptenes", "heptanes", "stephane"], "solution": [["haptenes", "heptanes", "stephane"], ["laggings", "slagging"]], "anagram_groups": 2, "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[\"laggings\", \"slagging\", \"haptenes\", \"heptanes\", \"stephane\"]\n", "_time": 0.14818978309631348, "_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:
["laggings", "slagging", "haptenes", "heptanes", "stephane"]
|
rg
|
CDBAEBDEBCEDECA
|
{"source_dataset": "string_insertion", "source_index": 0, "string": "CDBAEBDEBCEDECA", "solution": "CDBAEBDEBCEDECA", "string_length": 15, "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: CDBAEBDEBCEDECA\n", "_time": 0.00012969970703125, "_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: CDBAEBDEBCEDECA
|
rg
|
{"bond_lengths": [2.7423637279977413, 2.4126562828054645, 1.4487764790798359, 2.4875604527542636, 2.7071312109895556, 2.5204737626058797, 2.3255974369299444, 1.736773221136119, 2.6913507368126606], "valence_electrons": [7.4156054145272, 2.200903939987293, 7.730157221126024, 3.1149202354989773, 9.743782506625356, 5.3896930504667795, 7.200533250736263, 2.3740815334716943, 7.276561397596996], "ionocities": [0.6721942875868661, 0.9236055101126994, 0.78192855195055, 0.6469789952812577, 0.6584767973595923, 0.5431331993717418, 0.12288018393021358, 0.2807602285380933, 0.27662434964192906], "num_bonds": [8.889456988491144, 5.906086221474897, 6.093721995826538, 7.793467232395459, 7.499639476469763, 7.461187718237521, 2.80900606925524, 4.841930654845331, 1.433884144621209]}
|
{"source_dataset": "codeio", "source_index": 0, "input_data": {"bond_lengths": [2.7423637279977413, 2.4126562828054645, 1.4487764790798359, 2.4875604527542636, 2.7071312109895556, 2.5204737626058797, 2.3255974369299444, 1.736773221136119, 2.6913507368126606], "valence_electrons": [7.4156054145272, 2.200903939987293, 7.730157221126024, 3.1149202354989773, 9.743782506625356, 5.3896930504667795, 7.200533250736263, 2.3740815334716943, 7.276561397596996], "ionocities": [0.6721942875868661, 0.9236055101126994, 0.78192855195055, 0.6469789952812577, 0.6584767973595923, 0.5431331993717418, 0.12288018393021358, 0.2807602285380933, 0.27662434964192906], "num_bonds": [8.889456988491144, 5.906086221474897, 6.093721995826538, 7.793467232395459, 7.499639476469763, 7.461187718237521, 2.80900606925524, 4.841930654845331, 1.433884144621209]}, "output_data": 61.060908994360396, "difficulty": {"difficulty": null}, "task_name": "RG.codeio", "_question": "\nYou are given a question that requires some input and output variables as follows:\n\nGiven the bond lengths, valence electrons per cubic angstrom, ionocities, and the number of bonds comprising a multicomponent crystal, what is the theoretical hardness of the material in GPa?\n\nThe input and output requirements are as follows:\n\nInput:\n `bond_lengths` (list of float): Lengths of the bonds in Angstroms.\n `valence_electrons` (list of float): Valence electrons per cubic angstrom of the bonds.\n `ionocities` (list of float): Ionocity of the bonds.\n `num_bonds` (list of float): Number of bonds comprising this multicomponent crystal.\n\nOutput:\n `return` (float): The calculated hardness in GPa.\n\nGiven the following output:\n\n61.060908994360396\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 math\n\n# main function\ndef main_solution(bond_lengths, valence_electrons, ionocities, num_bonds):\n \"\"\"\n Calculate the theoretical hardness of a material based on bond information.\n\n Parameters:\n bond_lengths (list of float): Lengths of the bonds in Angstroms.\n valence_electrons (list of float): Valence electrons per cubic angstrom of the bonds.\n ionocities (list of float): Ionocity of the bonds.\n num_bonds (list of float): Number of bonds comprising this multicomponent crystal.\n\n Returns:\n float: The calculated hardness in GPa.\n \"\"\"\n Hardness = 1.00\n ni = 0.00\n NumberOfBonds = len(bond_lengths)\n\n for i in range(NumberOfBonds):\n Bondlength = bond_lengths[i]\n N = valence_electrons[i]\n Fi = ionocities[i]\n ntot = num_bonds[i]\n\n I = 1.191 * Fi\n ni += ntot\n H = (350 * pow(N, (2/3)) / (pow(2.71828, I) * pow(Bondlength, 2.5)))\n Hardness *= pow(H, ntot)\n\n Hardness = pow(Hardness, (1/ni))\n return Hardness\n", "_time": 0.08105921745300293, "_task": "rg", "_level": 0}
|
You are given a question that requires some input and output variables as follows:
Given the bond lengths, valence electrons per cubic angstrom, ionocities, and the number of bonds comprising a multicomponent crystal, what is the theoretical hardness of the material in GPa?
The input and output requirements are as follows:
Input:
`bond_lengths` (list of float): Lengths of the bonds in Angstroms.
`valence_electrons` (list of float): Valence electrons per cubic angstrom of the bonds.
`ionocities` (list of float): Ionocity of the bonds.
`num_bonds` (list of float): Number of bonds comprising this multicomponent crystal.
Output:
`return` (float): The calculated hardness in GPa.
Given the following output:
61.060908994360396
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 math
# main function
def main_solution(bond_lengths, valence_electrons, ionocities, num_bonds):
"""
Calculate the theoretical hardness of a material based on bond information.
Parameters:
bond_lengths (list of float): Lengths of the bonds in Angstroms.
valence_electrons (list of float): Valence electrons per cubic angstrom of the bonds.
ionocities (list of float): Ionocity of the bonds.
num_bonds (list of float): Number of bonds comprising this multicomponent crystal.
Returns:
float: The calculated hardness in GPa.
"""
Hardness = 1.00
ni = 0.00
NumberOfBonds = len(bond_lengths)
for i in range(NumberOfBonds):
Bondlength = bond_lengths[i]
N = valence_electrons[i]
Fi = ionocities[i]
ntot = num_bonds[i]
I = 1.191 * Fi
ni += ntot
H = (350 * pow(N, (2/3)) / (pow(2.71828, I) * pow(Bondlength, 2.5)))
Hardness *= pow(H, ntot)
Hardness = pow(Hardness, (1/ni))
return Hardness
|
rg
|
3 × 31
|
{"source_dataset": "prime_factorization", "source_index": 0, "number": 93, "factors": [3, 31], "difficulty": {"value": [2, 1000]}, "task_name": "RG.prime_factorization", "_question": "Find the prime factorization of 93. Write the factors separated by \u00d7 (Example: for 12 the answer would be: 2 \u00d7 2 \u00d7 3)", "_time": 8.296966552734375e-05, "_task": "rg", "_level": 0}
|
Find the prime factorization of 93. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
|
rg
|
96
|
{"source_dataset": "simple_equations", "source_index": 0, "equation": "5*y - 66 = 414", "variable": "y", "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 y in the equation: 5*y - 66 = 414", "_time": 0.0005934238433837891, "_task": "rg", "_level": 0}
|
Find the value of y in the equation: 5*y - 66 = 414
|
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],[0,0,0,0,0,0,0,0,0,0],[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],[0,0,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[1,1,1,0,0,0,0,0,0,0]]
|
{"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[[1,0,0,0,0,1,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,1,0,0],\n [0,0,0,0,0,0,0,0,1,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,1,1,0,0],\n [0,1,1,0,0,0,0,0,0,0],\n [0,0,0,1,0,0,0,0,0,1]].", "_time": 0.006894350051879883, "_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]])
[[1,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0],
[0,1,1,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,1]].
|
rg
|
0x2b7caf795cd2
|
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "((0xf34d * 0xbfa6) * (0xf47f >> 0x2))", "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((0xf34d * 0xbfa6) * (0xf47f >> 0x2))", "_time": 0.00012087821960449219, "_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.
((0xf34d * 0xbfa6) * (0xf47f >> 0x2))
|
rg
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.