Datasets:
reasoning-core
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rg1

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{"source_dataset": "arc_1d", "source_index": 0, "task_name": "RG.arc_1d", "size": 21, "train_examples": [{"input": [8, 8, 0, 0, 0, 6, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 8, 8, 8, 0, 0], "output": [8, 8, 3, 0, 0, 6, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 8, 8, 8, 0, 0]}, {"input": [0, 9, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 2, 2, 2, 0], "output": [0, 9, 0, 0, 0, 0, 0, 3, 6, 6, 3, 3, 7, 7, 3, 0, 0, 2, 2, 2, 0]}, {"input": [5, 5, 5, 0, 0, 0, 0, 4, 4, 0, 0, 9, 9, 9, 0, 0, 8, 8, 0, 0, 0], "output": [5, 5, 5, 0, 0, 0, 3, 4, 4, 3, 0, 9, 9, 9, 0, 3, 8, 8, 3, 0, 0]}], "test_example": {"input": [0, 0, 9, 9, 0, 0, 8, 8, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], "output": [0, 3, 9, 9, 3, 3, 8, 8, 3, 3, 5, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0]}, "difficulty": {"size": [10, 30]}, "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\nInput: 8 8 0 0 0 6 0 0 0 0 1 1 1 0 0 0 8 8 8 0 0\nOutput: 8 8 3 0 0 6 0 0 0 0 1 1 1 0 0 0 8 8 8 0 0\n\nExample 2:\nInput: 0 9 0 0 0 0 0 0 6 6 0 0 7 7 0 0 0 2 2 2 0\nOutput: 0 9 0 0 0 0 0 3 6 6 3 3 7 7 3 0 0 2 2 2 0\n\nExample 3:\nInput: 5 5 5 0 0 0 0 4 4 0 0 9 9 9 0 0 8 8 0 0 0\nOutput: 5 5 5 0 0 0 3 4 4 3 0 9 9 9 0 3 8 8 3 0 0\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself.\n\nInput:\n0 0 9 9 0 0 8 8 0 0 5 5 0 0 0 0 0 0 0 0 0", "_time": 0.00023174285888671875, "_task": "rg", "_level": 0}
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 0 0 0 6 0 0 0 0 1 1 1 0 0 0 8 8 8 0 0 Output: 8 8 3 0 0 6 0 0 0 0 1 1 1 0 0 0 8 8 8 0 0 Example 2: Input: 0 9 0 0 0 0 0 0 6 6 0 0 7 7 0 0 0 2 2 2 0 Output: 0 9 0 0 0 0 0 3 6 6 3 3 7 7 3 0 0 2 2 2 0 Example 3: Input: 5 5 5 0 0 0 0 4 4 0 0 9 9 9 0 0 8 8 0 0 0 Output: 5 5 5 0 0 0 3 4 4 3 0 9 9 9 0 3 8 8 3 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself. Input: 0 0 9 9 0 0 8 8 0 0 5 5 0 0 0 0 0 0 0 0 0
rg
None
{"source_dataset": "boxnet", "source_index": 0, "row_num": 2, "column_num": 3, "initial_state": {"0.5_0.5": [], "0.5_1.5": [], "0.5_2.5": [], "1.5_0.5": ["box_green"], "1.5_1.5": ["target_red", "box_blue", "target_blue"], "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 [], 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 [], I can do []\nAgent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['box_green'], I can do ['move(box_green, square[0.5, 0.5])', 'move(box_green, square[1.5, 1.5])']\nAgent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['target_red', 'box_blue', 'target_blue'], I can do ['move(box_blue, square[0.5, 1.5])', 'move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[1.5, 2.5])', 'move(box_blue, target_blue)']\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": 0.0001938343048095703, "_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 [], 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 [], I can do [] Agent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['box_green'], I can do ['move(box_green, square[0.5, 0.5])', 'move(box_green, square[1.5, 1.5])'] Agent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['target_red', 'box_blue', 'target_blue'], I can do ['move(box_blue, square[0.5, 1.5])', 'move(box_blue, square[1.5, 0.5])', 'move(box_blue, square[1.5, 2.5])', 'move(box_blue, target_blue)'] 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
4 1 2 3 6 > 5 ∧ 2 < 3 < 6 5 4 1 ∧ ∨ 3 4 5 1 2 6 ∨ ∨ 1 2 < 4 < 6 5 3 ∨ 6 > 5 1 < 2 3 4 ∧ 5 < 6 3 < 4 1 2
{"source_dataset": "futoshiki", "source_index": 0, "puzzle": [[4, 1, 0, 0, 6, 0], [0, 0, 0, 0, 4, 0], [0, 0, 5, 0, 0, 0], [0, 2, 0, 0, 5, 0], [0, 5, 0, 2, 0, 0], [0, 6, 3, 0, 0, 0]], "constraints": [[0, 1, 1, 1, "<"], [0, 4, 0, 5, ">"], [1, 0, 1, 1, "<"], [1, 0, 2, 0, "<"], [1, 1, 1, 2, "<"], [1, 3, 2, 3, ">"], [2, 2, 3, 2, ">"], [2, 5, 3, 5, ">"], [3, 1, 3, 2, "<"], [3, 2, 3, 3, "<"], [3, 3, 4, 3, ">"], [4, 0, 4, 1, ">"], [4, 2, 4, 3, "<"], [4, 3, 5, 3, "<"], [5, 0, 5, 1, "<"], [5, 2, 5, 3, "<"]], "solution": [[4, 1, 2, 3, 6, 5], [2, 3, 6, 5, 4, 1], [3, 4, 5, 1, 2, 6], [1, 2, 4, 6, 5, 3], [6, 5, 1, 2, 3, 4], [5, 6, 3, 4, 1, 2]], "board_size": 6, "difficulty_rating": 3, "difficulty": {"board_size": [4, 9], "difficulty": [0, 3]}, "task_name": "RG.futoshiki", "_question": "Solve the following 6x6 Futoshiki puzzle:\n\n4 1 _ _ 6 > _\n \u2227 \n_ < _ < _ _ 4 _\n\u2227 \u2228 \n_ _ 5 _ _ _\n \u2228 \u2228\n_ 2 < _ < _ 5 _\n \u2228 \n_ > 5 _ < 2 _ _\n \u2227 \n_ < 6 3 < _ _ _\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 6 exactly once.", "_time": 0.02864527702331543, "_task": "rg", "_level": 0}
Solve the following 6x6 Futoshiki puzzle: 4 1 _ _ 6 > _ ∧ _ < _ < _ _ 4 _ ∧ ∨ _ _ 5 _ _ _ ∨ ∨ _ 2 < _ < _ 5 _ ∨ _ > 5 _ < 2 _ _ ∧ _ < 6 3 < _ _ _ 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 6 exactly once.
rg
EAGER
{"source_dataset": "figlet_font", "source_index": 0, "font": "wet_letter", "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", "_time": 0.15185332298278809, "_task": "rg", "_level": 0}
What word does this say? ,---. .--. ,--, ,---. ,---. | .-' / /\ \ .' .' | .-' | .-.\ | `-. / /__\ \ | | __ | `-. | `-'/ | .-' | __ | \ \ ( _) | .-' | ( | `--. | | |)| \ `-) ) | `--. | |\ \ /( __.' |_| (_) )\____/ /( __.' |_| \)\ (__) (__) (__) (__)
rg
253.4
{"source_dataset": "decimal_chain_sum", "source_index": 0, "num_terms": 2, "num_digits": 3, "expression": "834.7 - 581.3", "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: 834.7 - 581.3 =", "_time": 0.00011396408081054688, "_task": "rg", "_level": 0}
State the final answer to the following arithmetic problem: 834.7 - 581.3 =
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],[1,1,0,0,0,0,0,0,0,0],[1,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]
{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,1,0,0],\n [0,1,0,0,0,0,1,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [1,1,0,0,0,0,0,0,0,0],\n [1,0,0,0,0,0,1,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,1,0,0,0,0,0,0,1]].", "_time": 0.006778717041015625, "_task": "rg", "_level": 0}
What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0], [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], [1,1,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,1]].
rg
1
{"source_dataset": "circuit_logic", "source_index": 4, "expression": "(A&A&A)+(B&C&C&C)+(D'\u2191B\u2191E\u2191C)", "assignments": {"A": 0, "B": 0, "C": 0, "D": 0, "E": 0}, "term_strings": ["A&A&A", "B&C&C&C", "D'\u2191B\u2191E\u2191C"], "final_gate": "OR", "inputs": ["A", "B", "C", "D", "E"], "difficulty": {"terms": [3, 5], "inputs": [2, 4]}, "task_name": "RG.circuit_logic", "_question": "Below is a randomly generated logic circuit.\n\nA: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\nB: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u2502\nC: \u2500\u2500\u2500\u2500\u2500\u2510 \u2502 \u2502\nD: \u2500\u2500\u2500\u2510 \u2502 \u2502 \u2502\nE: \u2500\u2510 \u2502 \u2502 \u2502 \u2502\n \u2502 \u2502 \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2502&&\n \u2502 \u2502 \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2502&&\u2500\u2500\u2510\n \u2502 \u2502 \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2502&& \u2502\n \u2502 \u2502 \u2502 \u2502 \u2502\n \u2502 \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2502&& \u2502\n \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502&&\u2500\u2510\u2514\u2500\u2500\u2502++\n \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502&& \u2514\u2500\u2500\u2500\u2502++\u2500\u2500\u2500 OUT\n \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502&& \u250c\u2500\u2500\u2502++\n \u2502 \u2502 \u2502 \u2502 \u2502\n \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500>o\u2500\u2502\u2191\u2191 \u2502\n \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2502\u2191\u2191\u2500\u2500\u2518\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502\u2191\u2191\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502\u2191\u2191\n\n\nLegend for gates:\n&&: AND\n\u2191\u2191: NAND\n\u2295\u2295: XOR\n>o: Negate\n++: OR\n\nGiven the following input assignments:\n A = 0\n B = 0\n C = 0\n D = 0\n E = 0\n\nWhat is the final output?", "_time": 0.00028252601623535156, "_task": "rg", "_level": 0}
Below is a randomly generated logic circuit. A: ─────────┐ B: ───────┐ │ C: ─────┐ │ │ D: ───┐ │ │ │ E: ─┐ │ │ │ │ │ │ │ │ ├────│&& │ │ │ │ ├────│&&──┐ │ │ │ │ └────│&& │ │ │ │ │ │ │ │ │ ├──────│&& │ │ │ ├────────│&&─┐└──│++ │ │ ├────────│&& └───│++─── OUT │ │ ├────────│&& ┌──│++ │ │ │ │ │ │ └───────>o─│↑↑ │ │ │ └──────│↑↑──┘ └────────────│↑↑ └────────│↑↑ Legend for gates: &&: AND ↑↑: NAND ⊕⊕: XOR >o: Negate ++: OR Given the following input assignments: A = 0 B = 0 C = 0 D = 0 E = 0 What is the final output?
rg
6 4 7 1 8 9 3 2 5 1 8 2 3 4 5 6 7 9 9 3 5 2 6 7 8 4 1 4 1 9 8 3 6 7 5 2 8 7 6 4 5 2 9 1 3 2 5 3 9 7 1 4 6 8 5 9 4 6 2 3 1 8 7 3 2 8 7 1 4 5 9 6 7 6 1 5 9 8 2 3 4
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 8, 2, 0, 0, 5, 6, 0, 9], [0, 0, 5, 2, 6, 7, 8, 4, 0], [4, 0, 0, 8, 3, 0, 0, 5, 0], [0, 0, 6, 0, 0, 2, 9, 0, 0], [2, 5, 3, 9, 0, 0, 0, 0, 0], [5, 9, 4, 0, 0, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 6], [7, 0, 1, 0, 9, 0, 0, 3, 4]], "solution": [[6, 4, 7, 1, 8, 9, 3, 2, 5], [1, 8, 2, 3, 4, 5, 6, 7, 9], [9, 3, 5, 2, 6, 7, 8, 4, 1], [4, 1, 9, 8, 3, 6, 7, 5, 2], [8, 7, 6, 4, 5, 2, 9, 1, 3], [2, 5, 3, 9, 7, 1, 4, 6, 8], [5, 9, 4, 6, 2, 3, 1, 8, 7], [3, 2, 8, 7, 1, 4, 5, 9, 6], [7, 6, 1, 5, 9, 8, 2, 3, 4]], "num_empty": 46, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n_ 4 _ _ _ _ _ _ _\n_ 8 2 _ _ 5 6 _ 9\n_ _ 5 2 6 7 8 4 _\n4 _ _ 8 3 _ _ 5 _\n_ _ 6 _ _ 2 9 _ _\n2 5 3 9 _ _ _ _ _\n5 9 4 _ _ 3 1 _ _\n_ _ _ _ _ _ _ 9 6\n7 _ 1 _ 9 _ _ 3 4\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.013907432556152344, "_task": "rg", "_level": 0}
Solve this Sudoku puzzle: _ 4 _ _ _ _ _ _ _ _ 8 2 _ _ 5 6 _ 9 _ _ 5 2 6 7 8 4 _ 4 _ _ 8 3 _ _ 5 _ _ _ 6 _ _ 2 9 _ _ 2 5 3 9 _ _ _ _ _ 5 9 4 _ _ 3 1 _ _ _ _ _ _ _ _ _ 9 6 7 _ 1 _ 9 _ _ 3 4 Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
rg
No
{"source_dataset": "knight_swap", "source_index": 0, "board": {"D1": [], "D2": ["B1", "B3"], "C1": ["B3", "D3"], "B1": ["C3", "D2"], "D3": ["C1"], "C3": ["B1"], "B3": ["C1", "D2"]}, "pieces": {"D1": "B", "D2": null, "C1": null, "B1": null, "D3": "B", "C3": "w", "B3": "w"}, "start_turn": "w", "solution": null, "is_possible": false, "num_steps": 0, "board_states": null, "difficulty": {"nodes": [6, 9], "pieces": [2, 2], "steps": [4, 20]}, "task_name": "RG.knight_swap", "_question": "Knight Swap Challenge:\n\n```\n B C D\n ------------\n3 | w | w | B |\n ------------\n2 | | | . |\n ------------\n1 | . | . | B |\n ------------\n```\n\nLegend:\n- 'w' = White Knight\n- 'B' = Black Knight\n- Empty squares are marked with '.'\n\nObjective:\nSwap the positions of all white knights with all black knights through valid moves.\n\nRules:\n1. Knights move in L-shape (2 squares + 1 square perpendicular)\n2. Knights can only move to empty squares\n3. w moves first, then players alternate\n4. All knights must reach their target positions (white \u2194 black)\n\nQuestion:\nIs it possible to swap all knights' positions? If yes, list the moves.\n\nAnswer Format:\n- For impossible puzzles: \"No\"\n- For possible puzzles: List moves as [\"color,from,to\", ...]\n Example: [\"w,A1,B3\"] means white knight moves A1\u2192B3\n", "_time": 0.0012543201446533203, "_task": "rg", "_level": 0}
Knight Swap Challenge: ``` B C D ------------ 3 | w | w | B | ------------ 2 | | | . | ------------ 1 | . | . | B | ------------ ``` Legend: - 'w' = White Knight - 'B' = Black Knight - Empty squares are marked with '.' Objective: Swap the positions of all white knights with all black knights through valid moves. Rules: 1. Knights move in L-shape (2 squares + 1 square perpendicular) 2. Knights can only move to empty squares 3. w moves first, then players alternate 4. All knights must reach their target positions (white ↔ black) Question: Is it possible to swap all knights' positions? If yes, list the moves. Answer Format: - For impossible puzzles: "No" - For possible puzzles: List moves as ["color,from,to", ...] Example: ["w,A1,B3"] means white knight moves A1→B3
rg
[["amex", "xema"], ["booing", "ogboni"], ["chark", "karch"], ["coinherence", "incoherence"], ["dustee", "etudes"], ["hoots", "shoot", "sooth", "sotho", "toosh"], ["interpellation", "interpollinate"], ["marrot", "mortar"], ["meat", "meta", "team", "tema"], ["subpeltate", "upsettable"]]
{"source_dataset": "group_anagrams", "source_index": 0, "words": ["chark", "karch", "tema", "team", "meta", "meat", "booing", "ogboni", "etudes", "dustee", "xema", "amex", "coinherence", "incoherence", "marrot", "mortar", "interpellation", "interpollinate", "upsettable", "subpeltate", "sooth", "hoots", "sotho", "toosh", "shoot"], "solution": [["amex", "xema"], ["booing", "ogboni"], ["chark", "karch"], ["coinherence", "incoherence"], ["dustee", "etudes"], ["hoots", "shoot", "sooth", "sotho", "toosh"], ["interpellation", "interpollinate"], ["marrot", "mortar"], ["meat", "meta", "team", "tema"], ["subpeltate", "upsettable"]], "anagram_groups": 10, "difficulty": {"anagram_groups": [2, 10], "words_per_group": [2, 5]}, "task_name": "RG.group_anagrams", "_question": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [[\"eat\", \"tea\"], [\"tan\", \"nat\"]].\n\nGroup the following list of words into anagrams:\n[\"chark\", \"karch\", \"tema\", \"team\", \"meta\", \"meat\", \"booing\", \"ogboni\", \"etudes\", \"dustee\", \"xema\", \"amex\", \"coinherence\", \"incoherence\", \"marrot\", \"mortar\", \"interpellation\", \"interpollinate\", \"upsettable\", \"subpeltate\", \"sooth\", \"hoots\", \"sotho\", \"toosh\", \"shoot\"]\n", "_time": 0.14567899703979492, "_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: ["chark", "karch", "tema", "team", "meta", "meat", "booing", "ogboni", "etudes", "dustee", "xema", "amex", "coinherence", "incoherence", "marrot", "mortar", "interpellation", "interpollinate", "upsettable", "subpeltate", "sooth", "hoots", "sotho", "toosh", "shoot"]
rg
None
{"source_dataset": "rubiks_cube", "source_index": 0, "cube_size": 3, "scramble_steps": 5, "scramble_moves": "D' U D L' R'", "example_correct_answer": "L R 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 O Y B \n G Y B \n G Y R \n G R R W O Y B O O W R Y \n G R R W G Y B O O W B Y \n G R R W G Y B O O W B Y \n B W O \n B W G \n R W 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": 0.003755331039428711, "_task": "rg", "_level": 0}
You are given a 3x3x3 Rubik's cube. It looks like this: O Y B G Y B G Y R G R R W O Y B O O W R Y G R R W G Y B O O W B Y G R R W G Y B O O W B Y B W O B W G R W 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
3 4 5 8 9 1 2 6 7 1 6 2 3 4 7 9 5 8 7 9 8 5 2 6 1 3 4 4 8 6 2 1 3 5 7 9 2 3 7 9 5 4 6 8 1 9 5 1 7 6 8 3 4 2 8 1 9 6 7 5 4 2 3 6 2 3 4 8 9 7 1 5 5 7 4 1 3 2 8 9 6
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[0, 4, 0, 0, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 9, 0, 8], [7, 0, 0, 5, 2, 0, 0, 3, 0], [0, 8, 0, 0, 1, 3, 5, 7, 9], [0, 0, 7, 0, 0, 0, 0, 8, 0], [9, 0, 1, 0, 0, 0, 3, 0, 0], [0, 0, 9, 6, 7, 0, 0, 0, 0], [0, 2, 0, 4, 0, 9, 0, 1, 0], [5, 7, 4, 1, 0, 0, 0, 9, 0]], "solution": [[3, 4, 5, 8, 9, 1, 2, 6, 7], [1, 6, 2, 3, 4, 7, 9, 5, 8], [7, 9, 8, 5, 2, 6, 1, 3, 4], [4, 8, 6, 2, 1, 3, 5, 7, 9], [2, 3, 7, 9, 5, 4, 6, 8, 1], [9, 5, 1, 7, 6, 8, 3, 4, 2], [8, 1, 9, 6, 7, 5, 4, 2, 3], [6, 2, 3, 4, 8, 9, 7, 1, 5], [5, 7, 4, 1, 3, 2, 8, 9, 6]], "num_empty": 49, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n_ 4 _ _ 9 _ _ _ _\n1 _ _ _ _ _ 9 _ 8\n7 _ _ 5 2 _ _ 3 _\n_ 8 _ _ 1 3 5 7 9\n_ _ 7 _ _ _ _ 8 _\n9 _ 1 _ _ _ 3 _ _\n_ _ 9 6 7 _ _ _ _\n_ 2 _ 4 _ 9 _ 1 _\n5 7 4 1 _ _ _ 9 _\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.03813052177429199, "_task": "rg", "_level": 0}
Solve this Sudoku puzzle: _ 4 _ _ 9 _ _ _ _ 1 _ _ _ _ _ 9 _ 8 7 _ _ 5 2 _ _ 3 _ _ 8 _ _ 1 3 5 7 9 _ _ 7 _ _ _ _ 8 _ 9 _ 1 _ _ _ 3 _ _ _ _ 9 6 7 _ _ _ _ _ 2 _ 4 _ 9 _ 1 _ 5 7 4 1 _ _ _ 9 _ Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
rg
6280732548
{"source_dataset": "products", "source_index": 0, "expression": "70146 * 89538", "num_terms": 2, "num_digits": 5, "difficulty": {"num_terms": [2, 2], "num_digits": [1, 5]}, "task_name": "RG.products", "_question": "Solve the following multiplication: 70146 * 89538. Give only the result as your final answer.", "_time": 8.702278137207031e-05, "_task": "rg", "_level": 0}
Solve the following multiplication: 70146 * 89538. Give only the result as your final answer.
rg
right down down down
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["O", "X", "X", "O", "O", "O"], ["*", "O", "O", "O", "O", "X"], ["O", "O", "X", "O", "X", "O"], ["X", "O", "O", "X", "O", "O"], ["O", "#", "X", "O", "X", "X"], ["X", "X", "O", "O", "O", "X"]], "solution": ["right", "down", "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\n* O O O O X\nO O X O X O\nX O O X O O\nO # X O X X\nX X O O O X\n", "_time": 0.00012636184692382812, "_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 X O O X O X O X O O X O O O # X O X X X X O O O X
rg
31*5 - 32 - 7 - 2
{"source_dataset": "countdown", "source_index": 0, "numbers": [5, 2, 7, 32, 31], "target": 114, "expression": "31*5 - 32 - 7 - 2", "difficulty": {"numbers": [4, 6], "target": [100, 999], "value": [1, 100]}, "task_name": "RG.countdown", "_question": "Find a way to make 114 using all of these numbers: 5, 2, 7, 32, 31.\nEach number can only be used 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": 0.006148099899291992, "_task": "rg", "_level": 0}
Find a way to make 114 using all of these numbers: 5, 2, 7, 32, 31. Each number can only be used 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
0x1252d5c1
{"source_dataset": "bitwise_arithmetic", "source_index": 0, "problem": "((0xdd30 + 0x7bcc) + (0x1a37 * 0xb2e3))", "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((0xdd30 + 0x7bcc) + (0x1a37 * 0xb2e3))", "_time": 0.00011920928955078125, "_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. ((0xdd30 + 0x7bcc) + (0x1a37 * 0xb2e3))
rg
3.25 3.75 3.5 4.75 5.0 7.75 6.25 5.0 5.75 6.0 5.25 3.0 6.0 1.75 7.0 4.5 5.5 2.0 4.0 7.0
{"source_dataset": "pool_matrix", "source_index": 0, "matrix": [[2, 0, 7, 4, 3, 7, 5, 4, 9], [8, 3, 1, 3, 3, 1, 8, 2, 1], [7, 7, 6, 9, 8, 7, 7, 2, 5], [8, 9, 1, 9, 5, 0, 9, 5, 7], [4, 9, 1, 3, 0, 7, 3, 0, 9], [5, 3, 5, 3, 8, 9, 2, 2, 5], [2, 7, 7, 4, 4, 0, 0, 8, 7]], "pool_type": "average", "pool_size": 2, "solution": [[3.25, 3.75, 3.5, 4.75, 5.0], [7.75, 6.25, 5.0, 5.75, 6.0], [5.25, 3.0, 6.0, 1.75, 7.0], [4.5, 5.5, 2.0, 4.0, 7.0]], "rows": 7, "cols": 9, "difficulty": {"rows": [2, 10], "cols": [2, 10], "pool_size": [1, 3]}, "task_name": "RG.pool_matrix", "_question": "Your job is to perform max/average pooling on the given matrix.\nThe stride is equal to the kernel size, meaning there is no overlap between the pooling regions.\n\nYour output should be a matrix in the same format as the input matrix.\nThe output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers.\nGive elements in the output matrix correct to 2 decimal places.\n\nPerform average pooling on the following matrix with a kernel size of 2:\n2 0 7 4 3 7 5 4 9\n8 3 1 3 3 1 8 2 1\n7 7 6 9 8 7 7 2 5\n8 9 1 9 5 0 9 5 7\n4 9 1 3 0 7 3 0 9\n5 3 5 3 8 9 2 2 5\n2 7 7 4 4 0 0 8 7\n", "_time": 0.0005323886871337891, "_task": "rg", "_level": 0}
Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Your output should be a matrix in the same format as the input matrix. The output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers. Give elements in the output matrix correct to 2 decimal places. Perform average pooling on the following matrix with a kernel size of 2: 2 0 7 4 3 7 5 4 9 8 3 1 3 3 1 8 2 1 7 7 6 9 8 7 7 2 5 8 9 1 9 5 0 9 5 7 4 9 1 3 0 7 3 0 9 5 3 5 3 8 9 2 2 5 2 7 7 4 4 0 0 8 7
rg
yellow
{"source_dataset": "color_cube_rotation", "source_index": 0, "initial_state": {"top": "red", "right": "yellow", "front": "green", "left": "magenta", "back": "white", "bottom": "blue"}, "rotations": ["front", "left"], "target_side": "bottom", "num_rotations": 2, "difficulty": {"rotations": [1, 3]}, "task_name": "RG.color_cube_rotation", "_question": "A cube has:\n- a red top side\n- a yellow right side\n- a green front side\n- a magenta left side\n- a white back side\n- a blue bottom side\n\nThe cube is rotated so that the side which was before at the front is now at the top.\n\nThen the cube is rotated to bring the left side to the top.\n\nWhat is now the color of the bottom side of the cube?\nProvide only the color as your final answer.", "_time": 0.0001552104949951172, "_task": "rg", "_level": 0}
A cube has: - a red top side - a yellow right side - a green front side - a magenta left side - a white back side - a blue bottom side The cube is rotated so that the side which was before at the front is now at the top. Then the cube is rotated to bring the left side to the top. What is now the color of the bottom side of the cube? Provide only the color as your final answer.
rg
True
{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["jrzispb", "wvsokut"], "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:\njrzispb wvsokut\n", "_time": 0.0001480579376220703, "_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: jrzispb wvsokut
rg
No
{"task": "is_leap_year", "year": 2049, "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 2049 is a leap year. Answer with Yes or No.", "_time": 0.00011587142944335938, "_task": "rg", "_level": 0}
Tell me whether 2049 is a leap year. Answer with Yes or No.
rg
['91.0', '55.802', '-7.66', '73', '62.208']
{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["91.0", "-53.2554", "55.802", "-7.66", "-70", "73", "-89.5", "62.208"], "filter_value": "-27.0037", "operation": "remove_smaller", "result": ["91.0", "55.802", "-7.66", "73", "62.208"], "numbers": 8, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Remove all numbers smaller than -27.0037 in this list: ['91.0', '-53.2554', '55.802', '-7.66', '-70', '73', '-89.5', '62.208']\nReturn the new list in the same format.", "_time": 0.0001289844512939453, "_task": "rg", "_level": 0}
Remove all numbers smaller than -27.0037 in this list: ['91.0', '-53.2554', '55.802', '-7.66', '-70', '73', '-89.5', '62.208'] Return the new list in the same format.
rg
42
{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 3, "known_angles": [119.0, 19.0], "sum_of_known_angles": 138.0, "missing_angle_raw": 42.0, "missing_angle_rounded": 42, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}, "task_name": "RG.simple_geometry", "_question": "Given a convex polygon with 3 sides, its first 2 interior angles are: 119.0\u00b0, 19.0\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": 0.00014019012451171875, "_task": "rg", "_level": 0}
Given a convex polygon with 3 sides, its first 2 interior angles are: 119.0°, 19.0°. 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
-10
{"source_dataset": "number_sequence", "source_index": 0, "rule": "halve then add -5", "complexity": 2, "sequence": [0, -5, -8, -9, -10], "difficulty": {"max_complexity": 3, "terms": [4, 8]}, "task_name": "RG.number_sequence", "_question": "0, -5, -8, -9, ?", "_time": 0.00014257431030273438, "_task": "rg", "_level": 0}
0, -5, -8, -9, ?
rg
abcccbcacaccbccbab
{"source_dataset": "string_manipulation", "source_index": 0, "string": "abcccbcacaccbccb", "solution": "abcccbcacaccbccbab", "states": ["abcccbcacaccbccb", "abcccbcacaccbccbab"], "selected_rules": ["If the string contains an even number of 'b's (and at least one 'b'), append 'ab' at the end.", "If the string starts with 'cc', remove the first two characters.", "If the string ends with 'aa', replace it with 'cc'.", "If the string prefix is 'cb', replace it with 'aa' and delete the last character."], "string_length": 16, "num_rules": 4, "difficulty": {"string_length": [5, 20], "num_rules": [3, 8]}, "task_name": "RG.string_manipulation", "_question": "Your job is to repeatedly transform a string according to a set of rules until no further transformations can be performed, or a state is repeated.\n\nEvaluate the following rules in order, and apply the first applicable rule to the string:\n1. If the string contains an even number of 'b's (and at least one 'b'), append 'ab' at the end.\n2. If the string starts with 'cc', remove the first two characters.\n3. If the string ends with 'aa', replace it with 'cc'.\n4. If the string prefix is 'cb', replace it with 'aa' and delete the last character.\n\nOnce you have applied a rule, repeat the process with the new string until no further transformations can be performed (i.e. the string doesn't change), or a state is repeated.\nIf a state is repeated, the process is terminated, and the repeated state is discarded (i.e. is not considered as the final answer) and the state before the repeated state is considered as the final answer.\n\nYour output should be the final transformed string after applying all the rules.\n\nTransform the following string according to the above list of rules:\nabcccbcacaccbccb\n", "_time": 0.00013065338134765625, "_task": "rg", "_level": 0}
Your job is to repeatedly transform a string according to a set of rules until no further transformations can be performed, or a state is repeated. Evaluate the following rules in order, and apply the first applicable rule to the string: 1. If the string contains an even number of 'b's (and at least one 'b'), append 'ab' at the end. 2. If the string starts with 'cc', remove the first two characters. 3. If the string ends with 'aa', replace it with 'cc'. 4. If the string prefix is 'cb', replace it with 'aa' and delete the last character. Once you have applied a rule, repeat the process with the new string until no further transformations can be performed (i.e. the string doesn't change), or a state is repeated. If a state is repeated, the process is terminated, and the repeated state is discarded (i.e. is not considered as the final answer) and the state before the repeated state is considered as the final answer. Your output should be the final transformed string after applying all the rules. Transform the following string according to the above list of rules: abcccbcacaccbccb
rg
0
{"source_dataset": "circuit_logic", "source_index": 6, "expression": "(A\u2191B'\u2191A'\u2191C)&(A&A'&D&A)&(E\u2295F'\u2295G')", "assignments": {"A": 0, "B": 0, "C": 0, "D": 1, "E": 1, "F": 0, "G": 0}, "term_strings": ["A\u2191B'\u2191A'\u2191C", "A&A'&D&A", "E\u2295F'\u2295G'"], "final_gate": "AND", "inputs": ["A", "B", "C", "D", "E", "F", "G"], "difficulty": {"terms": [3, 5], "inputs": [2, 4]}, "task_name": "RG.circuit_logic", "_question": "Below is a randomly generated logic circuit.\n\nA: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\nB: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u2502\nC: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u2502 \u2502\nD: \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u2502 \u2502 \u2502\nE: \u2500\u2500\u2500\u2500\u2500\u2510 \u2502 \u2502 \u2502 \u2502\nF: \u2500\u2500\u2500\u2510 \u2502 \u2502 \u2502 \u2502 \u2502\nG: \u2500\u2510 \u2502 \u2502 \u2502 \u2502 \u2502 \u2502\n \u2502 \u2502 \u2502 \u2502 \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2502\u2191\u2191\n \u2502 \u2502 \u2502 \u2502 \u2502 \u2514\u2500\u2500\u2500>o\u2500\u2502\u2191\u2191\u2500\u2500\u2510\n \u2502 \u2502 \u2502 \u2502 \u2502 \u251c\u2500>o\u2500\u2502\u2191\u2191 \u2502\n \u2502 \u2502 \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502\u2191\u2191 \u2502\n \u2502 \u2502 \u2502 \u2502 \u2502 \u2502\n \u2502 \u2502 \u2502 \u2502 \u251c\u2500\u2500\u2500\u2500\u2502&& \u2514\u2500\u2500\u2502&&\n \u2502 \u2502 \u2502 \u2502 \u251c\u2500>o\u2500\u2502&&\u2500\u2500\u2500\u2500\u2500\u2502&&\u2500\u2500\u2500 OUT\n \u2502 \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502&& \u250c\u2500\u2500\u2502&&\n \u2502 \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2502&& \u2502\n \u2502 \u2502 \u2502 \u2502\n \u2502 \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2502\u2295\u2295 \u2502\n \u2502 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500>o\u2500\u2502\u2295\u2295\u2500\u2500\u2518\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500>o\u2500\u2502\u2295\u2295\n\n\nLegend for gates:\n&&: AND\n\u2191\u2191: NAND\n\u2295\u2295: XOR\n>o: Negate\n&&: AND\n\nGiven the following input assignments:\n A = 0\n B = 0\n C = 0\n D = 1\n E = 1\n F = 0\n G = 0\n\nWhat is the final output?", "_time": 0.0003325939178466797, "_task": "rg", "_level": 0}
Below is a randomly generated logic circuit. A: ─────────────┐ B: ───────────┐ │ C: ─────────┐ │ │ D: ───────┐ │ │ │ E: ─────┐ │ │ │ │ F: ───┐ │ │ │ │ │ G: ─┐ │ │ │ │ │ │ │ │ │ │ │ │ ├────│↑↑ │ │ │ │ │ └───>o─│↑↑──┐ │ │ │ │ │ ├─>o─│↑↑ │ │ │ │ │ └────────│↑↑ │ │ │ │ │ │ │ │ │ │ │ ├────│&& └──│&& │ │ │ │ ├─>o─│&&─────│&&─── OUT │ │ │ └──────────│&& ┌──│&& │ │ │ └────│&& │ │ │ │ │ │ │ └────────────│⊕⊕ │ │ └───────────>o─│⊕⊕──┘ └─────────────>o─│⊕⊕ Legend for gates: &&: AND ↑↑: NAND ⊕⊕: XOR >o: Negate &&: AND Given the following input assignments: A = 0 B = 0 C = 0 D = 1 E = 1 F = 0 G = 0 What is the final output?
rg
6*40 - 22 - 76
{"source_dataset": "countdown", "source_index": 0, "numbers": [40, 6, 76, 22], "target": 142, "expression": "6*40 - 22 - 76", "difficulty": {"numbers": [4, 6], "target": [100, 999], "value": [1, 100]}, "task_name": "RG.countdown", "_question": "Using all the numbers 40, 6, 76, 22, create an expression that equals 142.\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": 0.0017845630645751953, "_task": "rg", "_level": 0}
Using all the numbers 40, 6, 76, 22, create an expression that equals 142. 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
EDADBBEACB
{"source_dataset": "string_insertion", "source_index": 0, "string": "EDADBBEACB", "solution": "EDADBBEACB", "string_length": 10, "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: EDADBBEACB\n", "_time": 0.0001125335693359375, "_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: EDADBBEACB
rg
76 days
{"source_dataset": "time_intervals", "source_index": 0, "task_type": "date", "start_time": "2288-12-08 00:00:00", "end_time": "2289-02-22 00:00:00", "format": "%A, %B %d, %Y", "expected_format": "D days", "difficulty": {"max_time_difference_seconds": 86400, "max_date_difference_days": 100}, "task_name": "RG.time_intervals", "_question": "A database query started at Saturday, December 08, 2288 and ended at Friday, February 22, 2289. How long did the query take? Answer in D days.", "_time": 0.0002925395965576172, "_task": "rg", "_level": 0}
A database query started at Saturday, December 08, 2288 and ended at Friday, February 22, 2289. How long did the query take? Answer in D days.
rg
73
{"source_dataset": "simple_equations", "source_index": 0, "equation": "5*w - 20 = 345", "variable": "w", "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": "Determine the value of w that satisfies: 5*w - 20 = 345", "_time": 0.0006289482116699219, "_task": "rg", "_level": 0}
Determine the value of w that satisfies: 5*w - 20 = 345
rg
1111011010
{"source_dataset": "base_conversion", "source_index": 0, "decimal_value": 986, "source_base": 15, "target_base": 2, "source_repr": "45b", "target_repr": "1111011010", "difficulty": {"base": [2, 16], "value": [0, 1000]}, "task_name": "RG.base_conversion", "_question": "Your task is to convert a number between two different bases.\n\nIf the target base is > 10, use lowercase letters a-z for digits above 9.\n\nNow, convert the base-15 number 45b to binary\n", "_time": 0.00010657310485839844, "_task": "rg", "_level": 0}
Your task is to convert a number between two different bases. If the target base is > 10, use lowercase letters a-z for digits above 9. Now, convert the base-15 number 45b to binary
rg
6*(8 - 1 - 3)
{"source_dataset": "puzzle24", "source_index": 0, "numbers": [8, 1, 3, 6], "difficulty": {"value": [1, 10]}, "task_name": "RG.puzzle24", "_question": "Make 24 using 8, 1, 3, 6. 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": 0.0038022994995117188, "_task": "rg", "_level": 0}
Make 24 using 8, 1, 3, 6. 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
6 2 7 4 7 8 6 8 4 0 7 5 2 0 4 7 3 1 0 5 6 1 8 6 7 6 3 6 0 1 1 2 8 6 7 9
{"source_dataset": "manipulate_matrix", "source_index": 0, "matrix": [[1, 2, 8, 6, 7, 9], [7, 6, 3, 6, 0, 1], [0, 5, 6, 1, 8, 6], [9, 4, 7, 3, 6, 2], [2, 0, 4, 7, 3, 1], [6, 8, 4, 0, 7, 5], [6, 2, 7, 4, 7, 8]], "solution": [[6, 2, 7, 4, 7, 8], [6, 8, 4, 0, 7, 5], [2, 0, 4, 7, 3, 1], [0, 5, 6, 1, 8, 6], [7, 6, 3, 6, 0, 1], [1, 2, 8, 6, 7, 9]], "operations": [{"transform": "dmirror", "instruction": "- Mirror the matrix along the diagonal"}, {"transform": "remove_every_nth_col", "n": 4, "instruction": "- Remove every 4-th column (1-indexed)"}, {"transform": "hmirror", "instruction": "- Horizontally mirror the matrix"}, {"transform": "cmirror", "instruction": "- Mirror the matrix along the counterdiagonal"}], "rows": 7, "cols": 6, "num_transforms": 4, "difficulty": {"rows": [2, 10], "cols": [2, 10], "num_transforms": [1, 10]}, "task_name": "RG.manipulate_matrix", "_question": "For the following matrix:\n1 2 8 6 7 9\n7 6 3 6 0 1\n0 5 6 1 8 6\n9 4 7 3 6 2\n2 0 4 7 3 1\n6 8 4 0 7 5\n6 2 7 4 7 8\n\nPerform the following series of operations in order:\n- Identity transformation, i.e. no change\n- Mirror the matrix along the diagonal\n- Remove every 4-th column (1-indexed)\n- Horizontally mirror the matrix\n- Mirror the matrix along the counterdiagonal\n", "_time": 0.0003032684326171875, "_task": "rg", "_level": 0}
For the following matrix: 1 2 8 6 7 9 7 6 3 6 0 1 0 5 6 1 8 6 9 4 7 3 6 2 2 0 4 7 3 1 6 8 4 0 7 5 6 2 7 4 7 8 Perform the following series of operations in order: - Identity transformation, i.e. no change - Mirror the matrix along the diagonal - Remove every 4-th column (1-indexed) - Horizontally mirror the matrix - Mirror the matrix along the counterdiagonal
rg
27
{"source_dataset": "gcd", "source_index": 0, "numbers": [513, 891], "result": 27, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 513, 891. Give only the GCD as your final answer.", "_time": 9.202957153320312e-05, "_task": "rg", "_level": 0}
Find the Greatest Common Divisor (GCD) of these numbers: 513, 891. Give only the GCD as your final answer.
rg
[4]
{"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: [22, 4, 16]\nOutput 1: [3]\nInput 2: [55, 1, 67, 49, 16, 35, 32, 95, 100, 82]\nOutput 2: [10]\nInput 3: [77, 54, 79, 82]\nOutput 3: [4]\nInput 4: [29, 92, 9]\nOutput 4: [3]\n\n\nInput: [17, 9, 49, 61]\nOutput:\n", "_time": 0.00012922286987304688, "_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: [22, 4, 16] Output 1: [3] Input 2: [55, 1, 67, 49, 16, 35, 32, 95, 100, 82] Output 2: [10] Input 3: [77, 54, 79, 82] Output 3: [4] Input 4: [29, 92, 9] Output 4: [3] Input: [17, 9, 49, 61] Output:
rg
12
{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2], [1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1], [2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1], [1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2], [0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "solution": 12, "n": 15, "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:\n1 1 1 1 1 1 1 1 1 1 2 1 1 1 1\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1\n0 1 0 0 0 1 1 1 1 1 1 1 1 1 2\n1 1 1 1 0 1 1 1 1 0 0 1 2 1 2\n1 1 2 2 1 1 1 0 1 0 2 1 1 1 1\n1 2 1 1 1 1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 0 1 0 1\n0 0 1 1 0 1 1 2 2 1 0 0 1 1 1\n1 1 0 1 1 1 2 1 1 1 1 1 1 2 1\n2 1 1 1 1 1 1 2 1 2 0 1 1 0 1\n0 1 1 1 1 1 2 1 1 0 1 1 2 1 1\n1 2 2 1 0 1 1 1 1 1 1 1 1 1 1\n1 2 1 2 1 1 0 1 1 2 1 1 2 1 2\n0 1 2 1 0 1 1 1 1 1 1 1 1 1 1\n", "_time": 0.00033092498779296875, "_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: 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 1 0 0 1 2 1 2 1 1 2 2 1 1 1 0 1 0 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 2 2 1 0 0 1 1 1 1 1 0 1 1 1 2 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 0 1 1 0 1 0 1 1 1 1 1 2 1 1 0 1 1 2 1 1 1 2 2 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 0 1 1 2 1 1 2 1 2 0 1 2 1 0 1 1 1 1 1 1 1 1 1 1
rg
0.0
{"source_dataset": "polynomial_equations", "source_index": 0, "polynomial_expr": "-43*d", "variable": "d", "degree": 1, "real_solutions": [0.0], "num_terms": 4, "difficulty": {"terms": [2, 4], "degree": [1, 3]}, "task_name": "RG.polynomial_equations", "_question": "Find the real value(s) of d in the equation: -43*d = 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": 0.002156496047973633, "_task": "rg", "_level": 0}
Find the real value(s) of d in the equation: -43*d = 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
[["boner", "borne"], ["deadener", "endeared"]]
{"source_dataset": "group_anagrams", "source_index": 0, "words": ["endeared", "deadener", "boner", "borne"], "solution": [["boner", "borne"], ["deadener", "endeared"]], "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[\"endeared\", \"deadener\", \"boner\", \"borne\"]\n", "_time": 0.3374350070953369, "_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: ["endeared", "deadener", "boner", "borne"]
rg
5 0 5 5 0 5 5 5 0 5 5 5 5 0 0
{"source_dataset": "arc_1d", "source_index": 0, "task_name": "RG.arc_1d", "size": 15, "train_examples": [{"input": [8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], "output": [8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0]}, {"input": [3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], "output": [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0]}, {"input": [4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0], "output": [4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0]}], "test_example": {"input": [5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], "output": [5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0]}, "difficulty": {"size": [10, 30]}, "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\nInput: 8 8 8 0 8 8 8 8 0 8 8 0 8 0 0\nOutput: 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0\n\nExample 2:\nInput: 3 3 3 3 0 3 3 0 3 0 3 3 3 0 0\nOutput: 3 0 3 3 0 3 3 3 0 3 3 3 3 0 0\n\nExample 3:\nInput: 4 4 4 4 0 4 0 4 4 4 0 4 4 0 0\nOutput: 4 0 4 4 0 4 4 4 0 4 4 4 4 0 0\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself.\n\nInput:\n5 5 0 5 5 5 5 0 5 5 5 0 5 0 0", "_time": 0.0003731250762939453, "_task": "rg", "_level": 0}
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 0 8 8 8 8 0 8 8 0 8 0 0 Output: 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 Example 2: Input: 3 3 3 3 0 3 3 0 3 0 3 3 3 0 0 Output: 3 0 3 3 0 3 3 3 0 3 3 3 3 0 0 Example 3: Input: 4 4 4 4 0 4 0 4 4 4 0 4 4 0 0 Output: 4 0 4 4 0 4 4 4 0 4 4 4 4 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself. Input: 5 5 0 5 5 5 5 0 5 5 5 0 5 0 0
rg
-1
{"source_dataset": "binary_alternation", "source_index": 0, "string": "111100110001", "solution": -1, "solvable": false, "n": 10, "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: 111100110001\n", "_time": 0.00010585784912109375, "_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: 111100110001
rg
C → C → C → C → C → C → C → C → C → C → C
{"source_dataset": "quantum_lock", "source_index": 0, "solution_path": ["C", "C", "C", "C", "C", "C", "C", "C", "C", "C", "C"], "target_value": 22, "buttons": [{"name": "A", "type": "subtract", "value": 2, "active_state": "any"}, {"name": "B", "type": "subtract", "value": 3, "active_state": "any"}, {"name": "C", "type": "add", "value": 2, "active_state": "any"}], "initial_state": "red", "initial_value": 0, "difficulty": {"difficulty": 6}, "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: 22\nButtons:\nA: Subtract 2 (when any)\nB: Subtract 3 (when any)\nC: Add 2 (when any)", "_time": 0.0003771781921386719, "_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: 22 Buttons: A: Subtract 2 (when any) B: Subtract 3 (when any) C: Add 2 (when any)
rg
14
{"source_dataset": "count_bits", "source_index": 0, "number": 1923256998, "solution": 14, "binary": "1110010101000101001001010100110", "n": 1923256998, "difficulty": {"n": [1, 2147483647]}, "task_name": "RG.count_bits", "_question": "How many 1 bits are there in the binary representation of the number 1923256998?", "_time": 0.0005390644073486328, "_task": "rg", "_level": 0}
How many 1 bits are there in the binary representation of the number 1923256998?
rg
IT WAS UNABLE TO MAINTAIN ITSELF AT THE HIGH LEVEL OF ITS NAME
{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 24, "cipher_text": "GR UYQ SLYZJC RM KYGLRYGL GRQCJD YR RFC FGEF JCTCJ MD GRQ LYKC", "clear_text": "IT WAS UNABLE TO MAINTAIN ITSELF AT THE HIGH LEVEL OF ITS NAME", "num_words": 13, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: GR UYQ SLYZJC RM KYGLRYGL GRQCJD YR RFC FGEF JCTCJ MD GRQ LYKC. Provide only the decrypted text as your final answer.", "_time": 0.0070493221282958984, "_task": "rg", "_level": 0}
Decrypt this Caesar cipher text: GR UYQ SLYZJC RM KYGLRYGL GRQCJD YR RFC FGEF JCTCJ MD GRQ LYKC. Provide only the decrypted text as your final answer.
rg
Matthew is a devil, and Avery is an angel.
{"source_dataset": "knights_knaves", "source_index": 0, "statements": [["and", ["lying", 1], ["telling-truth", 1]], ["->", ["telling-truth", 1], ["lying", 0]]], "solution": [false, true], "names": ["Matthew", "Avery"], "knight_knave_terms": {"knight": "angel", "knave": "devil", "a_knight": "an angel", "a_knave": "a devil", "Knight": "Angel", "Knave": "Devil"}, "difficulty": {"n_people": 2, "depth_constraint": 2, "width_constraint": 2}, "task_name": "RG.knights_knaves", "_question": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 2 inhabitants: Matthew, and Avery. According to Matthew, \"Avery is a devil and Avery is an angel\". Avery remarked, \"if Avery is an angel then Matthew is a devil\". So who is an angel and who is a devil? (Format your answer like: \"Matthew is a angel/devil, and Avery is a angel/devil\")", "_time": 0.0009744167327880859, "_task": "rg", "_level": 0}
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 2 inhabitants: Matthew, and Avery. According to Matthew, "Avery is a devil and Avery is an angel". Avery remarked, "if Avery is an angel then Matthew is a devil". So who is an angel and who is a devil? (Format your answer like: "Matthew is a angel/devil, and Avery is a angel/devil")
rg
0 1 0 0 0 1
{"source_dataset": "string_splitting", "source_index": 0, "states": [[0, 3, 2, 0, 0, 0], [0, 1, 2, 1, 0, 0], [0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 0, 1]], "solution": [0, 1, 0, 0, 0, 1], "initial_machines": [0, 3, 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 0 machine A, 3 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": 0.00010824203491210938, "_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 0 machine A, 3 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
[["c", "e", "z", "e", "c", "s", "v", "v", "s", "d"], ["c", "e", "z", "e", "c", "s", "vv", "s", "d"], ["c", "e", "z", "e", "c", "svvs", "d"], ["c", "eze", "c", "s", "v", "v", "s", "d"], ["c", "eze", "c", "s", "vv", "s", "d"], ["c", "eze", "c", "svvs", "d"], ["cezec", "s", "v", "v", "s", "d"], ["cezec", "s", "vv", "s", "d"], ["cezec", "svvs", "d"]]
{"source_dataset": "palindrome_partitioning", "source_index": 0, "string": "cezecsvvsd", "solution": [["c", "e", "z", "e", "c", "s", "v", "v", "s", "d"], ["c", "e", "z", "e", "c", "s", "vv", "s", "d"], ["c", "e", "z", "e", "c", "svvs", "d"], ["c", "eze", "c", "s", "v", "v", "s", "d"], ["c", "eze", "c", "s", "vv", "s", "d"], ["c", "eze", "c", "svvs", "d"], ["cezec", "s", "v", "v", "s", "d"], ["cezec", "s", "vv", "s", "d"], ["cezec", "svvs", "d"]], "string_len": 10, "difficulty": {"string_len": [5, 15], "substring_palindrome_len": [1, 5]}, "task_name": "RG.palindrome_partitioning", "_question": "Given a string, partition it such that every substring is a palindrome.\n\nA palindrome is a word that reads the same backward as forward.\n\nYou may return all possible palindrome partitioning in any order.\n\nYour output should be a list of lists, where each list represents a palindrome partition, e.g. [[\"a\",\"a\",\"b\"],[\"aa\",\"b\"]].\n\nPartition the following string into palindromes: cezecsvvsd\n", "_time": 0.00015616416931152344, "_task": "rg", "_level": 0}
Given a string, partition it such that every substring is a palindrome. A palindrome is a word that reads the same backward as forward. You may return all possible palindrome partitioning in any order. Your output should be a list of lists, where each list represents a palindrome partition, e.g. [["a","a","b"],["aa","b"]]. Partition the following string into palindromes: cezecsvvsd
rg
None
{"source_dataset": "graph_color", "source_index": 0, "possible_answer": {"0": 1, "1": 1, "2": 1, "3": 2, "4": 2, "5": 1, "6": 1, "7": 1, "8": 3, "9": 2}, "puzzle": {"vertices": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "edges": [[0, 4], [0, 9], [1, 3], [1, 4], [2, 8], [3, 7], [3, 8], [5, 9]], "num_colors": 3, "color_options": [1, 2, 3]}, "num_vertices": 10, "difficulty": {"num_vertices": [10, 10], "num_colors": 3}, "task_name": "RG.graph_color", "_question": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 4), (0, 9), (1, 3), (1, 4), (2, 8), (3, 7), (3, 8), (5, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colors. (For example: {\"0\": 1, \"1\": 2, \"2\": 3}.)\n", "_time": 0.00012946128845214844, "_task": "rg", "_level": 0}
Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties: Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 4), (0, 9), (1, 3), (1, 4), (2, 8), (3, 7), (3, 8), (5, 9)] Possible colors: [1, 2, 3] Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "1": 2, "2": 3}.)
rg
[[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]
{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,0,0,0,0,0,0,0,1],\n [0,0,0,0,0,0,0,1,0,0],\n [1,0,1,0,0,0,0,0,0,0],\n [0,0,1,0,0,0,0,1,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,1,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,1,0],\n [0,0,1,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,1,0],\n [0,0,0,0,0,0,0,0,0,0]].", "_time": 0.0070836544036865234, "_task": "rg", "_level": 0}
What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,1,0,0], [1,0,1,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0], [0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0]].
rg
son
{"source_dataset": "family_relationships", "source_index": 0, "person1": "Jack", "person2": "George", "relationship": "son", "family_size": 6, "difficulty": {"family_size": [4, 8]}, "task_name": "RG.family_relationships", "_question": "George is married to Eleanor. They have a child called Jack. Jack is married to Mary. They have children called Abigail and Finn.\n\nWhat is Jack to George? Respond only with the word that describes their relationship.", "_time": 0.00015163421630859375, "_task": "rg", "_level": 0}
George is married to Eleanor. They have a child called Jack. Jack is married to Mary. They have children called Abigail and Finn. What is Jack to George? Respond only with the word that describes their relationship.
rg
6*(1 + 3)/1
{"source_dataset": "puzzle24", "source_index": 0, "numbers": [1, 3, 6, 1], "difficulty": {"value": [1, 10]}, "task_name": "RG.puzzle24", "_question": "Make 24 using 1, 3, 6, 1. 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": 0.0019428730010986328, "_task": "rg", "_level": 0}
Make 24 using 1, 3, 6, 1. 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
6
{"source_dataset": "letter_counting", "source_index": 0, "span_length": 10, "target_letter": "a", "span": ["day", "at", "any", "of", "the", "innumerable", "phonographs", "set", "up", "nearly"], "difficulty": {"words": [5, 15]}, "task_name": "RG.letter_counting", "_question": "How many times does the letter \"a\" appear in the text: \"day at any of the innumerable phonographs set up nearly\"?", "_time": 0.0024776458740234375, "_task": "rg", "_level": 0}
How many times does the letter "a" appear in the text: "day at any of the innumerable phonographs set up nearly"?
rg
right right down down right
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["*", "O", "O", "O", "O"], ["O", "O", "O", "X", "X"], ["O", "X", "O", "#", "O"], ["O", "X", "O", "O", "O"], ["O", "O", "X", "O", "O"]], "solution": ["right", "right", "down", "down", "right"], "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:\n* O O O O\nO O O X X\nO X O # O\nO X O O O\nO O X O O\n", "_time": 0.0005369186401367188, "_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 O O O O O O X X O X O # O O X O O O O O X O O
rg
WHEN ARE YOU COMING EVENING
{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 14, "cipher_text": "KVSB OFS MCI QCAWBU SJSBWBU", "clear_text": "WHEN ARE YOU COMING EVENING", "num_words": 5, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: KVSB OFS MCI QCAWBU SJSBWBU. Provide only the decrypted text as your final answer.", "_time": 0.0016551017761230469, "_task": "rg", "_level": 0}
Decrypt this Caesar cipher text: KVSB OFS MCI QCAWBU SJSBWBU. Provide only the decrypted text as your final answer.
rg
8
{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 2, 1, 1, 1, 1], [1, 1, 2, 1, 1, 0, 1, 1, 1, 0], [1, 1, 2, 1, 1, 1, 0, 1, 1, 2], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 2], [0, 0, 1, 1, 2, 1, 1, 1, 1, 1]], "solution": 8, "n": 10, "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:\n1 0 1 1 1 1 1 1 1 1\n1 0 1 1 1 1 1 1 1 1\n1 1 1 1 0 1 1 1 1 0\n1 0 1 0 1 1 0 1 1 1\n1 0 1 1 1 2 1 1 1 1\n1 1 2 1 1 0 1 1 1 0\n1 1 2 1 1 1 0 1 1 2\n1 0 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 0 2\n0 0 1 1 2 1 1 1 1 1\n", "_time": 0.00019669532775878906, "_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: 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 2 1 1 1 1 1 1 2 1 1 0 1 1 1 0 1 1 2 1 1 1 0 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 1 1 2 1 1 1 1 1
rg
1 0 1 0 1 2 1 2 3
{"source_dataset": "binary_matrix", "source_index": 0, "matrix": [[1, 0, 1], [0, 1, 1], [1, 1, 1]], "solution": [[1, 0, 1], [0, 1, 2], [1, 2, 3]], "n": 3, "difficulty": {"n": [3, 10], "p_zero": 0.25}, "task_name": "RG.binary_matrix", "_question": "Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.\n\nThe output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.\n\nFind the distance to the nearest 0 for each cell in the matrix below:\n1 0 1\n0 1 1\n1 1 1\n", "_time": 0.00012755393981933594, "_task": "rg", "_level": 0}
Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell. The output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0. Find the distance to the nearest 0 for each cell in the matrix below: 1 0 1 0 1 1 1 1 1
rg
0 0 0 7 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 4 1 0 0 0 6 0 0 6 9 9 9 0 0 0 0 0 0 9 9 9 6 0 0 6 2 0 0 2 5 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0
{"source_dataset": "arc_agi", "source_index": 0, "input": [[0, 0, 0, 7, 0, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [6, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 6], [2, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 7, 0, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 4, 1, 0, 0, 0], [6, 0, 0, 6, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 6, 0, 0, 6], [2, 0, 0, 2, 5, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]], "task_id": "1f642eb9", "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 0 6 0 0 0 4 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 9 9 9 9 9 0 0\n5 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 0 3\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 2 0 0 0 0\nOutput:\n0 0 0 6 0 0 0 4 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 6 9 9 9 4 0 0\n5 0 0 5 9 9 9 9 0 0\n0 0 0 9 9 2 9 3 0 3\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 2 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 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\n7 0 0 9 9 9 9 0 0 0\n0 0 0 9 9 9 9 0 0 1\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 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\n7 0 0 7 9 9 6 0 0 0\n0 0 0 9 9 9 1 0 0 1\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 3:\n\nInput:\n0 0 0 0 4 0 2 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n1 0 0 9 9 9 9 9 0 5\n0 0 0 9 9 9 9 9 0 0\n0 0 0 9 9 9 9 9 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 6 0 0 0 2 0 0\nOutput:\n0 0 0 0 4 0 2 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n1 0 0 1 4 9 2 5 0 5\n0 0 0 9 9 9 9 9 0 0\n0 0 0 6 9 9 9 2 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 6 0 0 0 2 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 0 0 7 0 4 1 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 9 9 9 9 0 0 0\n6 0 0 9 9 9 9 0 0 0\n0 0 0 9 9 9 9 0 0 6\n2 0 0 9 9 9 9 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 5 0 0 0 0 0\n", "_time": 0.41393065452575684, "_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 0 6 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 9 9 9 9 9 0 0 5 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 3 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 Output: 0 0 0 6 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 6 9 9 9 4 0 0 5 0 0 5 9 9 9 9 0 0 0 0 0 9 9 2 9 3 0 3 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 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 7 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 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 Output: 0 0 0 0 0 0 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 7 0 0 7 9 9 6 0 0 0 0 0 0 9 9 9 1 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 Example 3: Input: 0 0 0 0 4 0 2 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 9 9 9 9 9 0 5 0 0 0 9 9 9 9 9 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 2 0 0 Output: 0 0 0 0 4 0 2 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 1 4 9 2 5 0 5 0 0 0 9 9 9 9 9 0 0 0 0 0 6 9 9 9 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 0 0 6 0 0 0 2 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 0 0 7 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 0 0 0 6 0 0 9 9 9 9 0 0 0 0 0 0 9 9 9 9 0 0 6 2 0 0 9 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0
rg
551
{"difficulty": 1.0, "answer_value": 551, "answer_cot": "For the blue balls, 20 balls * $9/ball = $180.\nFor the pink balls, 14 balls * $10/ball = $140.\nFor the red balls, 33 balls * $7/ball = $231.\nFor all balls, $180 + $140 + $231 = $551.\n#### 551", "variables": {"store": "warehouse", "colors": ["blue", "pink", "red"], "quantities": [20, 14, 33], "prices": [9, 10, 7], "currency": "$", "subtotals": [180, 140, 231], "total": 551}, "source_dataset": "gsm_symbolic", "source_index": 0, "task_name": "RG.gsm_symbolic", "_question": "There are currently 20 blue balls, 14 pink balls, and 33 red balls in the warehouse. blue balls cost $9, pink balls cost $10 and red balls cost $7. How much will the warehouse have received after all the balls are sold? Give the result as your final answer. Do not include units.", "_time": 0.0001995563507080078, "_task": "rg", "_level": 0}
There are currently 20 blue balls, 14 pink balls, and 33 red balls in the warehouse. blue balls cost $9, pink balls cost $10 and red balls cost $7. How much will the warehouse have received after all the balls are sold? Give the result as your final answer. Do not include units.
rg
9 1 9 3 8 9 5 9 0 9
{"source_dataset": "manipulate_matrix", "source_index": 0, "matrix": [[4, 4, 9, 8, 7, 1, 5, 1, 2], [5, 8, 9, 6, 1, 0, 1, 8, 8], [7, 8, 6, 4, 2, 3, 4, 3, 9], [7, 5, 6, 5, 2, 6, 3, 9, 9], [4, 0, 4, 7, 7, 9, 5, 6, 7], [0, 7, 7, 8, 9, 6, 2, 7, 0], [4, 1, 5, 3, 4, 9, 8, 6, 6], [9, 1, 9, 3, 8, 2, 6, 7, 0], [9, 5, 9, 0, 9, 5, 7, 7, 9], [1, 2, 4, 3, 7, 3, 5, 8, 7]], "solution": [[9, 1, 9, 3, 8], [9, 5, 9, 0, 9]], "operations": [{"transform": "crop", "row_start": 8, "row_end": 9, "col_start": 1, "col_end": 5, "instruction": "- Crop the matrix to rows 8-9 and columns 1-5 (1-indexed)"}], "rows": 10, "cols": 9, "num_transforms": 1, "difficulty": {"rows": [2, 10], "cols": [2, 10], "num_transforms": [1, 10]}, "task_name": "RG.manipulate_matrix", "_question": "For the following matrix:\n4 4 9 8 7 1 5 1 2\n5 8 9 6 1 0 1 8 8\n7 8 6 4 2 3 4 3 9\n7 5 6 5 2 6 3 9 9\n4 0 4 7 7 9 5 6 7\n0 7 7 8 9 6 2 7 0\n4 1 5 3 4 9 8 6 6\n9 1 9 3 8 2 6 7 0\n9 5 9 0 9 5 7 7 9\n1 2 4 3 7 3 5 8 7\n\nPerform the following series of operations in order:\n- Identity transformation, i.e. no change\n- Crop the matrix to rows 8-9 and columns 1-5 (1-indexed)\n", "_time": 0.00029587745666503906, "_task": "rg", "_level": 0}
For the following matrix: 4 4 9 8 7 1 5 1 2 5 8 9 6 1 0 1 8 8 7 8 6 4 2 3 4 3 9 7 5 6 5 2 6 3 9 9 4 0 4 7 7 9 5 6 7 0 7 7 8 9 6 2 7 0 4 1 5 3 4 9 8 6 6 9 1 9 3 8 2 6 7 0 9 5 9 0 9 5 7 7 9 1 2 4 3 7 3 5 8 7 Perform the following series of operations in order: - Identity transformation, i.e. no change - Crop the matrix to rows 8-9 and columns 1-5 (1-indexed)
rg
0 0 0 0 0 0 0 0 9 0 0 0 0 0 0
{"source_dataset": "arc_1d", "source_index": 0, "task_name": "RG.arc_1d", "size": 15, "train_examples": [{"input": [0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0], "output": [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]}, {"input": [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], "output": [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]}, {"input": [0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0], "output": [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5]}], "test_example": {"input": [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "output": [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0]}, "difficulty": {"size": [10, 30]}, "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\nInput: 0 9 9 9 9 9 9 9 9 9 9 9 9 9 0\nOutput: 9 9 9 0 0 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\nInput: 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0\nOutput: 6 6 0 0 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\nInput: 0 0 0 0 0 0 5 5 5 5 5 5 0 0 0\nOutput: 5 0 0 0 0 0 0 0 0 0 5 5 5 5 5\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself.\n\nInput:\n0 0 0 0 9 0 0 0 0 0 0 0 0 0 0", "_time": 0.00019359588623046875, "_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 9 9 9 9 9 9 9 9 9 9 9 9 9 0 Output: 9 9 9 0 0 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 Output: 6 6 0 0 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 0 0 0 0 0 0 5 5 5 5 5 5 0 0 0 Output: 5 0 0 0 0 0 0 0 0 0 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself. Input: 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0
rg
{"remainders": [39, 0, 13, 37], "moduli": [61, 6, 57, 41]}
{"source_dataset": "codeio", "source_index": 0, "input_data": {"remainders": [39, 0, 13, 37], "moduli": [61, 6, 57, 41]}, "output_data": null, "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 set of remainders and corresponding moduli, what is the solution to the system of congruences using the Chinese Remainder Theorem?\n\nThe input and output requirements are as follows:\n\nInput:\n `remainders` (list of int): A list of integers representing the remainders in the Chinese Remainder Theorem.\n `moduli` (list of int): A list of integers representing the moduli in the Chinese Remainder Theorem.\n\nOutput:\n `return` (int or None): The solution to the system of congruences using the Chinese Remainder Theorem. Returns `None` if no solution exists.\n\nGiven the following output:\n\nNone\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\n\n# all class and function definitions in the code file, if any\ndef multInvers(m, x): \n a = [0, 1]\n q = [None, None]\n r = [m, x]\n i = 1\n \n while r[i] > 1:\n i += 1\n r.append(r[i - 2] % r[i - 1])\n q.append(r[i - 2] // r[i - 1])\n a.append((a[i-2] - q[i] * a[i - 1]) % m)\n\n if r[i] == 1: return a[i]\n else: return None\n\ndef mult(m):\n num = 1\n for i in m:\n num *= i\n return num\n\ndef CRT(r, m):\n N = mult(m)\n A = []\n X = 0\n\n for i in m:\n b = int(N / i)\n inverse = multInvers(i, b)\n\n if inverse is None: \n return inverse\n\n A.append((b * inverse) % N)\n \n for i,j in zip(A, r):\n X += (i * j)\n return X % N\n\n# main function\ndef main_solution(remainders, moduli):\n # all input arguments of the main_solution function should be json serializable (no self-defined objects, functions, np.array, set, tuple, etc.)\n # convert JSON serializable inputs to the original input variables\n r = remainders\n m = moduli\n \n # call the CRT function\n result = CRT(r, m)\n \n # return, the returned value must be json serializable (no self-defined objects, functions, np.array, set, tuple, etc.)\n return result\n", "_time": 0.08055496215820312, "_task": "rg", "_level": 0}
You are given a question that requires some input and output variables as follows: Given a set of remainders and corresponding moduli, what is the solution to the system of congruences using the Chinese Remainder Theorem? The input and output requirements are as follows: Input: `remainders` (list of int): A list of integers representing the remainders in the Chinese Remainder Theorem. `moduli` (list of int): A list of integers representing the moduli in the Chinese Remainder Theorem. Output: `return` (int or None): The solution to the system of congruences using the Chinese Remainder Theorem. Returns `None` if no solution exists. Given the following output: None 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 # all class and function definitions in the code file, if any def multInvers(m, x): a = [0, 1] q = [None, None] r = [m, x] i = 1 while r[i] > 1: i += 1 r.append(r[i - 2] % r[i - 1]) q.append(r[i - 2] // r[i - 1]) a.append((a[i-2] - q[i] * a[i - 1]) % m) if r[i] == 1: return a[i] else: return None def mult(m): num = 1 for i in m: num *= i return num def CRT(r, m): N = mult(m) A = [] X = 0 for i in m: b = int(N / i) inverse = multInvers(i, b) if inverse is None: return inverse A.append((b * inverse) % N) for i,j in zip(A, r): X += (i * j) return X % N # main function def main_solution(remainders, moduli): # all input arguments of the main_solution function should be json serializable (no self-defined objects, functions, np.array, set, tuple, etc.) # convert JSON serializable inputs to the original input variables r = remainders m = moduli # call the CRT function result = CRT(r, m) # return, the returned value must be json serializable (no self-defined objects, functions, np.array, set, tuple, etc.) return result
rg
[9]
{"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: [8, 10, 37, 48, 33, 35]\nOutput 1: [6]\nInput 2: [84, 94, 73, 2, 78, 17, 13, 43, 84]\nOutput 2: [9]\nInput 3: [15, 96, 72, 90, 28, 53, 62, 99, 82, 97]\nOutput 3: [10]\nInput 4: [60, 45, 53]\nOutput 4: [3]\n\n\nInput: [47, 60, 84, 13, 62, 45, 61, 86, 15]\nOutput:\n", "_time": 0.00013303756713867188, "_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: [8, 10, 37, 48, 33, 35] Output 1: [6] Input 2: [84, 94, 73, 2, 78, 17, 13, 43, 84] Output 2: [9] Input 3: [15, 96, 72, 90, 28, 53, 62, 99, 82, 97] Output 3: [10] Input 4: [60, 45, 53] Output 4: [3] Input: [47, 60, 84, 13, 62, 45, 61, 86, 15] Output:
rg
7 4 3 8 1 9 2 6 5 6 1 8 3 5 2 9 4 7 2 5 9 4 7 6 8 1 3 8 2 6 1 3 5 7 9 4 3 9 4 2 6 7 1 5 8 5 7 1 9 8 4 6 3 2 9 6 5 7 2 3 4 8 1 1 3 7 6 4 8 5 2 9 4 8 2 5 9 1 3 7 6
{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[0, 4, 0, 0, 1, 9, 0, 0, 0], [6, 0, 8, 0, 5, 2, 9, 4, 7], [0, 5, 9, 0, 0, 6, 0, 0, 0], [0, 2, 0, 1, 0, 0, 7, 0, 0], [3, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 1, 9, 8, 0, 0, 3, 2], [9, 6, 0, 7, 0, 3, 0, 8, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 8, 2, 5, 9, 1, 3, 0, 0]], "solution": [[7, 4, 3, 8, 1, 9, 2, 6, 5], [6, 1, 8, 3, 5, 2, 9, 4, 7], [2, 5, 9, 4, 7, 6, 8, 1, 3], [8, 2, 6, 1, 3, 5, 7, 9, 4], [3, 9, 4, 2, 6, 7, 1, 5, 8], [5, 7, 1, 9, 8, 4, 6, 3, 2], [9, 6, 5, 7, 2, 3, 4, 8, 1], [1, 3, 7, 6, 4, 8, 5, 2, 9], [4, 8, 2, 5, 9, 1, 3, 7, 6]], "num_empty": 45, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n_ 4 _ _ 1 9 _ _ _\n6 _ 8 _ 5 2 9 4 7\n_ 5 9 _ _ 6 _ _ _\n_ 2 _ 1 _ _ 7 _ _\n3 _ _ _ _ 7 _ _ _\n_ _ 1 9 8 _ _ 3 2\n9 6 _ 7 _ 3 _ 8 _\n_ _ _ _ 4 _ _ _ _\n4 8 2 5 9 1 3 _ _\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.011392593383789062, "_task": "rg", "_level": 0}
Solve this Sudoku puzzle: _ 4 _ _ 1 9 _ _ _ 6 _ 8 _ 5 2 9 4 7 _ 5 9 _ _ 6 _ _ _ _ 2 _ 1 _ _ 7 _ _ 3 _ _ _ _ 7 _ _ _ _ _ 1 9 8 _ _ 3 2 9 6 _ 7 _ 3 _ 8 _ _ _ _ _ 4 _ _ _ _ 4 8 2 5 9 1 3 _ _ Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.
rg
None
{"source_dataset": "graph_color", "source_index": 0, "possible_answer": {"0": 1, "1": 2, "2": 1, "3": 1, "4": 1, "5": 2, "6": 1, "7": 3, "8": 2, "9": 1}, "puzzle": {"vertices": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "edges": [[0, 1], [0, 5], [1, 7], [2, 5], [6, 7], [6, 8]], "num_colors": 3, "color_options": [1, 2, 3]}, "num_vertices": 10, "difficulty": {"num_vertices": [10, 10], "num_colors": 3}, "task_name": "RG.graph_color", "_question": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (0, 5), (1, 7), (2, 5), (6, 7), (6, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colors. (For example: {\"0\": 1, \"1\": 2, \"2\": 3}.)\n", "_time": 0.00016069412231445312, "_task": "rg", "_level": 0}
Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties: Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 1), (0, 5), (1, 7), (2, 5), (6, 7), (6, 8)] Possible colors: [1, 2, 3] Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "1": 2, "2": 3}.)
rg
1
{"source_dataset": "letter_counting", "source_index": 0, "span_length": 12, "target_letter": "w", "span": ["and", "financial", "support", "to", "provide", "volunteers", "with", "the", "assistance", "they", "need", "are"], "difficulty": {"words": [5, 15]}, "task_name": "RG.letter_counting", "_question": "How many times does the letter \"w\" appear in the text: \"and financial support to provide volunteers with the assistance they need are\"?", "_time": 0.0021724700927734375, "_task": "rg", "_level": 0}
How many times does the letter "w" appear in the text: "and financial support to provide volunteers with the assistance they need are"?
rg
-6.0 + 5.0i
{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-7.0, -1.0], "num2": [1.0, 6.0], "operation": "+", "result": [-6, 5], "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: (-7.0 - 1.0i) + (1.0 + 6.0i)", "_time": 0.00012969970703125, "_task": "rg", "_level": 0}
Add the complex numbers: (-7.0 - 1.0i) + (1.0 + 6.0i)
rg
infeasible
{"source_dataset": "shortest_path", "source_index": 0, "matrix": [["X", "X", "#", "X", "O", "O"], ["O", "O", "X", "O", "O", "O"], ["O", "O", "*", "O", "O", "O"], ["X", "X", "O", "X", "X", "O"], ["O", "O", "O", "O", "O", "X"], ["O", "O", "X", "O", "O", "O"]], "solution": [], "difficulty": {"rows": [5, 8], "cols": [5, 8]}, "task_name": "RG.shortest_path", "_question": "Your task is to find the shortest path from the start to the destination point in a grid.\n\nThe grid is represented as a matrix with the following types of cells:\n- *: your starting point\n- #: your destination point\n- O: an open cell\n- X: a blocked cell\n\nTherefore, you need to find the shortest path from * to #, moving only through open cells.\n\nYou may only move in four directions: up, down, left, and right.\n\nIf there is no path from * to #, simply write \"infeasible\" (without quotes).\n\nYour output should be a sequence of directions that leads from * to #, e.g. right right down down up left\n\nNow, find the length of the shortest path from * to # in the following grid:\nX X # X O O\nO O X O O O\nO O * O O O\nX X O X X O\nO O O O O X\nO O X O O O\n", "_time": 0.00014591217041015625, "_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: X X # X O O O O X O O O O O * O O O X X O X X O O O O O O X O O X O O O
rg
-0.4675, 0.4675
{"source_dataset": "polynomial_equations", "source_index": 0, "polynomial_expr": "183*v**2 - 40", "variable": "v", "degree": 2, "real_solutions": [-0.4675, 0.4675], "num_terms": 4, "difficulty": {"terms": [2, 4], "degree": [1, 3]}, "task_name": "RG.polynomial_equations", "_question": "Solve the polynomial equation for real v:\n183*v**2 - 40 = 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": 0.012408971786499023, "_task": "rg", "_level": 0}
Solve the polynomial equation for real v: 183*v**2 - 40 = 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
259
{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 5, "known_angles": [114.0, 53.0, 68.0, 46.0], "sum_of_known_angles": 281.0, "missing_angle_raw": 259.0, "missing_angle_rounded": 259, "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: 114.0\u00b0, 53.0\u00b0, 68.0\u00b0, 46.0\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": 0.0001068115234375, "_task": "rg", "_level": 0}
Given a convex polygon with 5 sides, its first 4 interior angles are: 114.0°, 53.0°, 68.0°, 46.0°. 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
True
{"source_dataset": "game_of_life_halting", "source_index": 0, "grid_size_x": 12, "grid_size_y": 12, "placed_patterns": [{"name": "non-oscillator", "position": [8, 5]}, {"name": "non-oscillator", "position": [3, 4]}], "simulation_steps": 20, "should_oscillate": false, "difficulty": {"grid_size_x": 12, "grid_size_y": 12, "difficulty": 1, "num_oscillators": 5, "max_simulation_steps": 20}, "task_name": "RG.game_of_life_halting", "_question": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 1 0 0 0 0 0 0 0]\n [0 0 0 0 0 1 0 0 0 0 0 0]\n [0 0 0 0 0 0 1 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 1 0 0 0 0]\n [0 0 0 0 0 0 1 0 0 0 0 0]\n [0 0 0 0 0 0 0 1 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]]", "_time": 0.00867915153503418, "_task": "rg", "_level": 0}
This is a 'Game of Life' grid. We consider a game halted if there are no cells alive. Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'. Initial board: [[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 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 1 0 0 0 0 0 0] [0 0 0 0 0 0 1 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 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 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0]]
rg
to, being, WARRANTIES, weeks, PLEASE, that, least, a
{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 8, "words": ["a", "least", "that", "PLEASE", "weeks", "WARRANTIES", "being", "to"], "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: a, least, that, PLEASE, weeks, WARRANTIES, being, to\n", "_time": 0.002446889877319336, "_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: a, least, that, PLEASE, weeks, WARRANTIES, being, to
rg
Move disk 1 from Peg 1 to Peg 4 Move disk 2 from Peg 1 to Peg 3 Move disk 3 from Peg 1 to Peg 2 Move disk 2 from Peg 3 to Peg 2 Move disk 1 from Peg 4 to Peg 2 Move disk 4 from Peg 1 to Peg 3 Move disk 5 from Peg 1 to Peg 4 Move disk 4 from Peg 3 to Peg 4 Move disk 6 from Peg 1 to Peg 3 Move disk 4 from Peg 4 to Peg 1 Move disk 5 from Peg 4 to Peg 3 Move disk 4 from Peg 1 to Peg 3 Move disk 1 from Peg 2 to Peg 4 Move disk 2 from Peg 2 to Peg 1 Move disk 3 from Peg 2 to Peg 3 Move disk 2 from Peg 1 to Peg 3 Move disk 1 from Peg 4 to Peg 3
{"source_dataset": "tower_of_hanoi", "source_index": 0, "num_disks": 6, "num_pegs": 4, "start_peg": 1, "target_peg": 3, "auxiliary_pegs": [2, 4], "solution_length": 17, "difficulty": {"num_disks": [3, 7], "num_pegs": [3, 4]}, "task_name": "RG.tower_of_hanoi", "_question": "Solve the Tower of Hanoi problem with 6 disks and 4 pegs.\nMove all disks from Peg 1 to Peg 3 following the rules:\n- Only one disk can be moved at a time.\n- A larger disk cannot be placed on top of a smaller disk.\n- All disks must be on a peg at all times.\n\nProvide the sequence of moves.\n\nFormatting guidelines:\n- Each instruction should be placed on a single line.\n- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'\n- Do not include any other text or formatting.\n", "_time": 0.0001373291015625, "_task": "rg", "_level": 0}
Solve the Tower of Hanoi problem with 6 disks and 4 pegs. Move all disks from Peg 1 to Peg 3 following the rules: - Only one disk can be moved at a time. - A larger disk cannot be placed on top of a smaller disk. - All disks must be on a peg at all times. Provide the sequence of moves. Formatting guidelines: - Each instruction should be placed on a single line. - Each line should be formatted as 'Move disk X from Peg Y to Peg Z' - Do not include any other text or formatting.
rg
True
{"source_dataset": "ransom_note", "source_index": 0, "ransom_note": "owtxvziut", "magazine": "ztyvwltzxuoia", "solution": true, "solvable": true, "note_length": 9, "magazine_length": 13, "difficulty": {"note_length": [1, 10], "magazine_length": [2, 30]}, "task_name": "RG.ransom_note", "_question": "Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.\n\nEach letter in the magazine string can only be used once in your ransom note.\n\nRansom note: owtxvziut\nMagazine: ztyvwltzxuoia\n", "_time": 0.00012111663818359375, "_task": "rg", "_level": 0}
Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise. Each letter in the magazine string can only be used once in your ransom note. Ransom note: owtxvziut Magazine: ztyvwltzxuoia
rg
162
{"source_dataset": "lcm", "source_index": 0, "numbers": [6, 81], "result": 162, "difficulty": {"numbers": [2, 2], "value": [1, 100]}, "task_name": "RG.lcm", "_question": "Find the Least Common Multiple (LCM) of these numbers: 6, 81", "_time": 8.96453857421875e-05, "_task": "rg", "_level": 0}
Find the Least Common Multiple (LCM) of these numbers: 6, 81
rg
C=3,D=6,O=0,P=4,V=1,W=2,Z=9
{"source_dataset": "cryptarithm", "source_index": 0, "letters": ["Z", "W", "O", "V", "C", "D", "P"], "word_values": [93123, 9339], "sum_number": 102462, "words_letters": ["ZCVWC", "ZCCZ"], "result_letters": "VOWPDW", "digit_to_letter": {"9": "Z", "2": "W", "0": "O", "1": "V", "3": "C", "6": "D", "4": "P"}, "letter_to_digit": {"Z": 9, "W": 2, "O": 0, "V": 1, "C": 3, "D": 6, "P": 4}, "difficulty": {"words": [2, 3]}, "task_name": "RG.cryptarithm", "_question": "Solve this cryptarithm:\n\n ZCVWC\n+ ZCCZ\n--------\n VOWPDW\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": 0.0001633167266845703, "_task": "rg", "_level": 0}
Solve this cryptarithm: ZCVWC + ZCCZ -------- VOWPDW 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
Pass
{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "P", "remove": "D", "cards": "QUMYTQFZOTACP", "result": "Chi"}, {"add": "Q", "remove": "P", "cards": "QUMYTQFZOTACQ", "result": "Chi"}, {"add": "Q", "remove": "C", "cards": "QUMYTQFZOTAQQ", "result": "Peng"}, {"add": "N", "remove": "U", "cards": "QMYTQFZOTAQQN", "result": "Chi"}, {"add": "T", "remove": "T", "cards": "QMYQFZOTAQQNT", "result": "Peng"}, {"add": "O", "remove": "T", "cards": "QMYQFZOAQQNTO", "result": "Chi"}, {"add": "X", "remove": "Z", "cards": "QMYQFOAQQNTOX", "result": "Pass"}, {"add": "Q", "remove": "Q", "cards": "MYQFOAQQNTOXQ", "result": "Peng"}, {"add": "C", "remove": "O", "cards": "MYQFAQQNTOXQC", "result": "Pass"}, {"add": "Q", "remove": "Q", "cards": "MYFAQQNTOXQCQ", "result": "Peng"}, {"add": "Q", "remove": "F", "cards": "MYAQQNTOXQCQQ", "result": "Peng"}, {"add": "O", "remove": "Q", "cards": "MYAQNTOXQCQQO", "result": "Chi"}, {"add": "P", "remove": "Q", "cards": "MYANTOXQCQQOP", "result": "Chi"}, {"add": "D", "remove": "P", "cards": "MYANTOXQCQQOD", "result": "Pass"}, {"add": "W", "remove": "N", "cards": "MYATOXQCQQODW", "result": "Chi"}, {"add": "V", "remove": "C", "cards": "MYATOXQQQODWV", "result": "Chi"}, {"add": "P", "remove": "V", "cards": "MYATOXQQQODWP", "result": "Pass"}, {"add": "W", "remove": "Q", "cards": "MYATOXQQODWPW", "result": "Chi"}, {"add": "Q", "remove": "Q", "cards": "MYATOXQODWPWQ", "result": "Peng"}, {"add": "Q", "remove": "P", "cards": "MYATOXQODWWQQ", "result": "Chi"}, {"add": "Q", "remove": "T", "cards": "MYAOXQODWWQQQ", "result": "Peng"}, {"add": "W", "remove": "A", "cards": "MYOXQODWWQQQW", "result": "Peng"}, {"add": "W", "remove": "W", "cards": "MYOXQODWQQQWW", "result": "Chi"}, {"add": "Q", "remove": "Q", "cards": "MYOXODWQQQWWQ", "result": "Peng"}, {"add": "Q", "remove": "Q", "cards": "MYOXODWQQWWQQ", "result": "Peng"}, {"add": "W", "remove": "Q", "cards": "MYOXODWQWWQQW", "result": "Peng"}, {"add": "O", "remove": "Q", "cards": "MYOXODWWWQQWO", "result": "Peng"}, {"add": "W", "remove": "O", "cards": "MYXODWWWQQWOW", "result": "Chi"}, {"add": "W", "remove": "W", "cards": "MYXODWWQQWOWW", "result": "Peng"}, {"add": "Q", "remove": "D", "cards": "MYXOWWQQWOWWQ", "result": "Peng"}, {"add": "E", "remove": "Q", "cards": "MYXOWWQWOWWQE", "result": "Pass"}, {"add": "N", "remove": "Q", "cards": "MYXOWWWOWWQEN", "result": "Chi"}, {"add": "O", "remove": "O", "cards": "MYXWWWOWWQENO", "result": "Peng"}, {"add": "O", "remove": "W", "cards": "MYXWWOWWQENOO", "result": "Peng"}, {"add": "O", "remove": "O", "cards": "MYXWWWWQENOOO", "result": "Pass"}, {"add": "L", "remove": "W", "cards": "MYXWWWQENOOOL", "result": "Chi"}, {"add": "Z", "remove": "Q", "cards": "MYXWWWENOOOLZ", "result": "Pass"}, {"add": "Z", "remove": "W", "cards": "MYXWWENOOOLZZ", "result": "Pass"}, {"add": "Z", "remove": "O", "cards": "MYXWWENOOLZZZ", "result": "Pass"}, {"add": "O", "remove": "E", "cards": "MYXWWNOOLZZZO", "result": "Peng"}, {"add": "L", "remove": "Z", "cards": "MYXWWNOOLZZOL", "result": "Chi"}, {"add": "L", "remove": "L", "cards": "MYXWWNOOZZOLL", "result": "Chi"}, {"add": "F", "remove": "O", "cards": "MYXWWNOZZOLLF", "result": "Pass"}, {"add": "Z", "remove": "L", "cards": "MYXWWNOZZOLFZ", "result": "Pass"}], "solution": "Pass", "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 DQUMYTQFZOTAC, what is the result at the end of performing the following rounds of operations:\nRound 1: Add a P card and remove a D card.\nRound 2: Add a Q card and remove a P card.\nRound 3: Add a Q card and remove a C card.\nRound 4: Add a N card and remove an U card.\nRound 5: Add a T card and remove a T card.\nRound 6: Add an O card and remove a T card.\nRound 7: Add a X card and remove a Z card.\nRound 8: Add a Q card and remove a Q card.\nRound 9: Add a C card and remove an O card.\nRound 10: Add a Q card and remove a Q card.\nRound 11: Add a Q card and remove a F card.\nRound 12: Add an O card and remove a Q card.\nRound 13: Add a P card and remove a Q card.\nRound 14: Add a D card and remove a P card.\nRound 15: Add a W card and remove a N card.\nRound 16: Add a V card and remove a C card.\nRound 17: Add a P card and remove a V card.\nRound 18: Add a W card and remove a Q card.\nRound 19: Add a Q card and remove a Q card.\nRound 20: Add a Q card and remove a P card.\nRound 21: Add a Q card and remove a T card.\nRound 22: Add a W card and remove an A card.\nRound 23: Add a W card and remove a W card.\nRound 24: Add a Q card and remove a Q card.\nRound 25: Add a Q card and remove a Q card.\nRound 26: Add a W card and remove a Q card.\nRound 27: Add an O card and remove a Q card.\nRound 28: Add a W card and remove an O card.\nRound 29: Add a W card and remove a W card.\nRound 30: Add a Q card and remove a D card.\nRound 31: Add an E card and remove a Q card.\nRound 32: Add a N card and remove a Q card.\nRound 33: Add an O card and remove an O card.\nRound 34: Add an O card and remove a W card.\nRound 35: Add an O card and remove an O card.\nRound 36: Add a L card and remove a W card.\nRound 37: Add a Z card and remove a Q card.\nRound 38: Add a Z card and remove a W card.\nRound 39: Add a Z card and remove an O card.\nRound 40: Add an O card and remove an E card.\nRound 41: Add a L card and remove a Z card.\nRound 42: Add a L card and remove a L card.\nRound 43: Add a F card and remove an O card.\nRound 44: Add a Z card and remove a L card.\n", "_time": 0.005046367645263672, "_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 DQUMYTQFZOTAC, what is the result at the end of performing the following rounds of operations: Round 1: Add a P card and remove a D card. Round 2: Add a Q card and remove a P card. Round 3: Add a Q card and remove a C card. Round 4: Add a N card and remove an U card. Round 5: Add a T card and remove a T card. Round 6: Add an O card and remove a T card. Round 7: Add a X card and remove a Z card. Round 8: Add a Q card and remove a Q card. Round 9: Add a C card and remove an O card. Round 10: Add a Q card and remove a Q card. Round 11: Add a Q card and remove a F card. Round 12: Add an O card and remove a Q card. Round 13: Add a P card and remove a Q card. Round 14: Add a D card and remove a P card. Round 15: Add a W card and remove a N card. Round 16: Add a V card and remove a C card. Round 17: Add a P card and remove a V card. Round 18: Add a W card and remove a Q card. Round 19: Add a Q card and remove a Q card. Round 20: Add a Q card and remove a P card. Round 21: Add a Q card and remove a T card. Round 22: Add a W card and remove an A card. Round 23: Add a W card and remove a W card. Round 24: Add a Q card and remove a Q card. Round 25: Add a Q card and remove a Q card. Round 26: Add a W card and remove a Q card. Round 27: Add an O card and remove a Q card. Round 28: Add a W card and remove an O card. Round 29: Add a W card and remove a W card. Round 30: Add a Q card and remove a D card. Round 31: Add an E card and remove a Q card. Round 32: Add a N card and remove a Q card. Round 33: Add an O card and remove an O card. Round 34: Add an O card and remove a W card. Round 35: Add an O card and remove an O card. Round 36: Add a L card and remove a W card. Round 37: Add a Z card and remove a Q card. Round 38: Add a Z card and remove a W card. Round 39: Add a Z card and remove an O card. Round 40: Add an O card and remove an E card. Round 41: Add a L card and remove a Z card. Round 42: Add a L card and remove a L card. Round 43: Add a F card and remove an O card. Round 44: Add a Z card and remove a L card.
rg
1 0 1 0 0 1 0 0 0
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[1, 0, 3, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0]], "solution": [1, 0, 1, 0, 0, 1, 0, 0, 0], "initial_blocks": [1, 0, 3], "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], 0 [B], and 3 [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": 0.00011420249938964844, "_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], 0 [B], and 3 [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
6
{"source_dataset": "maze", "source_index": 0, "grid_size": 9, "grid": [")))))))))", ")33)3333)", ")3))33)3)", ")3333333)", ")?33333))", "))33)3@3)", ")3333333)", "))3)333))", ")))))))))"], "shortest_path_length": 6, "start": "@", "goal": "?", "wall": ")", "path": "3", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from '@' (start) to '?' (goal):\n\n```\n)))))))))\n)33)3333)\n)3))33)3)\n)3333333)\n)?33333))\n))33)3@3)\n)3333333)\n))3)333))\n)))))))))\n```\nLegend: ')' = Wall, '3' = 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": 0.0001857280731201172, "_task": "rg", "_level": 0}
Navigate from '@' (start) to '?' (goal): ``` ))))))))) )33)3333) )3))33)3) )3333333) )?33333)) ))33)3@3) )3333333) ))3)333)) ))))))))) ``` Legend: ')' = Wall, '3' = 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
314
{"source_dataset": "leg_counting", "source_index": 0, "animals": {"cockroach": 2, "lion": 2, "crab": 1, "cow": 1, "insect": 11, "shrimp": 14, "leech": 4, "human": 1, "bee": 6, "cat": 9}, "num_animals": 10, "total_legs": 314, "difficulty": {"num_animals": [3, 10], "num_instances": [1, 15]}, "task_name": "RG.leg_counting", "_question": "Your task is to count how many legs there are in total when given a list of animals.\n\nNow, how many legs are there in total if you have 2 cockroachs, 2 lions, 1 crab, 1 cow, 11 insects, 14 shrimps, 4 leechs, 1 human, 6 bees, 9 cats?\n", "_time": 0.00012564659118652344, "_task": "rg", "_level": 0}
Your task is to count how many legs there are in total when given a list of animals. Now, how many legs are there in total if you have 2 cockroachs, 2 lions, 1 crab, 1 cow, 11 insects, 14 shrimps, 4 leechs, 1 human, 6 bees, 9 cats?
rg
Move disk 1 from Peg 2 to Peg 3 Move disk 2 from Peg 2 to Peg 1 Move disk 1 from Peg 3 to Peg 1 Move disk 3 from Peg 2 to Peg 3 Move disk 1 from Peg 1 to Peg 2 Move disk 2 from Peg 1 to Peg 3 Move disk 1 from Peg 2 to Peg 3 Move disk 4 from Peg 2 to Peg 1 Move disk 1 from Peg 3 to Peg 1 Move disk 2 from Peg 3 to Peg 2 Move disk 1 from Peg 1 to Peg 2 Move disk 3 from Peg 3 to Peg 1 Move disk 1 from Peg 2 to Peg 3 Move disk 2 from Peg 2 to Peg 1 Move disk 1 from Peg 3 to Peg 1
{"source_dataset": "tower_of_hanoi", "source_index": 0, "num_disks": 4, "num_pegs": 3, "start_peg": 2, "target_peg": 1, "auxiliary_pegs": [3], "solution_length": 15, "difficulty": {"num_disks": [3, 7], "num_pegs": [3, 4]}, "task_name": "RG.tower_of_hanoi", "_question": "Solve the Tower of Hanoi problem with 4 disks and 3 pegs.\nMove all disks from Peg 2 to Peg 1 following the rules:\n- Only one disk can be moved at a time.\n- A larger disk cannot be placed on top of a smaller disk.\n- All disks must be on a peg at all times.\n\nProvide the sequence of moves.\n\nFormatting guidelines:\n- Each instruction should be placed on a single line.\n- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'\n- Do not include any other text or formatting.\n", "_time": 0.0001270771026611328, "_task": "rg", "_level": 0}
Solve the Tower of Hanoi problem with 4 disks and 3 pegs. Move all disks from Peg 2 to Peg 1 following the rules: - Only one disk can be moved at a time. - A larger disk cannot be placed on top of a smaller disk. - All disks must be on a peg at all times. Provide the sequence of moves. Formatting guidelines: - Each instruction should be placed on a single line. - Each line should be formatted as 'Move disk X from Peg Y to Peg Z' - Do not include any other text or formatting.
rg
3
{"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": "Elizabeth has 5 male friends and she also has 2 female friends. They all are friends with each other and have no other friends aside. How many female friends does Thomas, a male friend of Elizabeth, have?", "_time": 0.0001220703125, "_task": "rg", "_level": 0}
Elizabeth has 5 male friends and she also has 2 female friends. They all are friends with each other and have no other friends aside. How many female friends does Thomas, a male friend of Elizabeth, have?
rg
90.8622
{"source_dataset": "decimal_chain_sum", "source_index": 0, "num_terms": 3, "num_digits": 2, "expression": "84.72 + 19.6917 - 13.5495", "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: 84.72 + 19.6917 - 13.5495 =", "_time": 0.00010204315185546875, "_task": "rg", "_level": 0}
State the final answer to the following arithmetic problem: 84.72 + 19.6917 - 13.5495 =
rg
2*X**10 - X**7 + X**6/10 - 2*X**4 - 5*X**2/9 + C
{"source_dataset": "simple_integration", "source_index": 0, "integrand": "20*X**9 - 7*X**6 + 3*X**5/5 - 8*X**3 - 10*X/9", "variable": "X", "num_terms": 5, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Evaluate the indefinite integral: \u222b 20*X**9 - 7*X**6 + 3*X**5/5 - 8*X**3 - 10*X/9 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": 0.00700688362121582, "_task": "rg", "_level": 0}
Evaluate the indefinite integral: ∫ 20*X**9 - 7*X**6 + 3*X**5/5 - 8*X**3 - 10*X/9 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
3
{"source_dataset": "gcd", "source_index": 0, "numbers": [123, 534], "result": 3, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 123, 534. Give only the GCD as your final answer.", "_time": 8.702278137207031e-05, "_task": "rg", "_level": 0}
Find the Greatest Common Divisor (GCD) of these numbers: 123, 534. Give only the GCD as your final answer.
rg
3
{"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 7 of these 7 statements are true.'\n - Statement 2: 'At most 5 of these 7 statements are false.'\n - Statement 3: 'Exactly 5 of these 7 statements are true.'\n - Statement 4: 'Exactly 4 of these 7 statements are false.'\n - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'\n - Statement 6: 'The number of true statements is a prime number.'\n - Statement 7: 'The number of false statements is a composite number.'\n", "_time": 0.00018215179443359375, "_task": "rg", "_level": 0}
Given the truthfulness of these statements, please tell me the number of possible solutions: - Statement 1: 'At least 7 of these 7 statements are true.' - Statement 2: 'At most 5 of these 7 statements are false.' - Statement 3: 'Exactly 5 of these 7 statements are true.' - Statement 4: 'Exactly 4 of these 7 statements are false.' - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.' - Statement 6: 'The number of true statements is a prime number.' - Statement 7: 'The number of false statements is a composite number.'
rg
Yes
{"source_dataset": "syllogism", "source_index": 0, "premise1": "All dolphins are chefs", "premise2": "No chefs are ants", "conclusion": "No dolphins are ants", "is_valid": true, "type": "syllogism", "task_name": "RG.syllogism", "_question": "Consider these statements:\n1. All dolphins are chefs\n2. No chefs are ants\n\nDoes it logically follow that:\nNo dolphins are ants?\n(Answer Yes or No)", "_time": 0.0001304149627685547, "_task": "rg", "_level": 0}
Consider these statements: 1. All dolphins are chefs 2. No chefs are ants Does it logically follow that: No dolphins are ants? (Answer Yes or No)
rg
2
{"source_dataset": "letter_counting", "source_index": 0, "span_length": 6, "target_letter": "i", "span": ["electronic", "works", "by", "freely", "sharing", "Project"], "difficulty": {"words": [5, 15]}, "task_name": "RG.letter_counting", "_question": "How many times does the letter \"i\" appear in the text: \"electronic works by freely sharing Project\"?", "_time": 0.0023806095123291016, "_task": "rg", "_level": 0}
How many times does the letter "i" appear in the text: "electronic works by freely sharing Project"?
rg
❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌ ✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌ ❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌ ❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌ ❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌ ❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌ ❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌ ❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌ ❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌ ❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌ ❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌ ❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌ ❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅ ❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌
{"source_dataset": "modulo_grid", "source_index": 0, "divisor": 17, "target": 4, "operation": "diff", "difficulty": {"size_x": 20, "size_y": 20, "holes": 1, "divisor": 20, "target": 20}, "task_name": "RG.modulo_grid", "_question": "Identify the mathematical pattern which defines this grid, then use that pattern to fill in the question marks. Return the entire completed grid as your answer.\n\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u2754\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c\u274c\n\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u274c\u2705\u274c\u274c\u274c\u274c", "_time": 0.0002856254577636719, "_task": "rg", "_level": 0}
Identify the mathematical pattern which defines this grid, then use that pattern to fill in the question marks. Return the entire completed grid as your answer. ❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌❌ ❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌❌ ✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌❌ ❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌❌❌ ❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❔❌❌❌❌ ❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌❌ ❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌ ❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌❌ ❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌❌ ❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌❌ ❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌❌ ❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌❌ ❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅❌ ❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌✅ ❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌❌ ❌❌❌❌❌❌❌❌❌❌❌❌❌❌❌✅❌❌❌❌
rg
False
{"source_dataset": "course_schedule", "source_index": 0, "courses": [3, 4, 1, 2, 0], "prerequisites": [[0, 1], [3, 4], [0, 3], [1, 3], [2, 1], [1, 2], [0, 2], [4, 3], [2, 4], [4, 1], [2, 0]], "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 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), (3, 4), (0, 3), (1, 3), (2, 1), (1, 2), (0, 2), (4, 3), (2, 4), (4, 1), (2, 0)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.00014543533325195312, "_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), (3, 4), (0, 3), (1, 3), (2, 1), (1, 2), (0, 2), (4, 3), (2, 4), (4, 1), (2, 0)] Return True if you can finish all courses considering the prerequisites, or False otherwise.
rg
7
{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1], [1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1], [1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0], [2, 2, 1, 0, 2, 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, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1], [1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1]], "solution": 7, "n": 22, "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:\n0 1 1 1 1 0 1 1 2 1 1 1 1 0 1 1 1 2 1 2 1 1\n1 1 1 1 1 0 2 1 1 1 1 1 1 0 2 1 1 1 1 0 1 1\n1 1 0 2 1 1 1 1 1 1 2 1 1 0 1 1 2 0 1 2 1 1\n1 1 0 0 1 2 0 0 2 1 1 1 1 2 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 2 1\n1 1 1 1 1 1 0 1 1 1 0 1 1 1 2 0 1 1 1 0 1 1\n1 1 1 1 1 1 1 1 0 1 0 2 0 1 0 2 0 1 0 0 1 0\n2 2 1 0 2 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1\n1 2 2 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1\n1 1 1 1 1 1 1 1 1 2 1 2 1 0 1 1 0 1 0 1 0 1\n1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1\n2 0 1 0 0 1 1 1 1 2 1 1 1 1 0 1 0 1 1 1 1 2\n1 0 1 0 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0\n1 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0\n0 1 0 2 0 1 2 1 0 1 1 2 1 0 1 1 1 0 1 0 1 1\n1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1\n0 1 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1\n0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 2 1 1 2 1 0 1\n0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 2 1 0 1 0 1\n", "_time": 0.0005810260772705078, "_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: 0 1 1 1 1 0 1 1 2 1 1 1 1 0 1 1 1 2 1 2 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 0 2 1 1 1 1 0 1 1 1 1 0 2 1 1 1 1 1 1 2 1 1 0 1 1 2 0 1 2 1 1 1 1 0 0 1 2 0 0 2 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 2 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 2 0 1 0 2 0 1 0 0 1 0 2 2 1 0 2 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 1 1 1 1 2 0 2 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 1 2 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 2 0 1 0 0 1 1 1 1 2 1 1 1 1 0 1 0 1 1 1 1 2 1 0 1 0 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 2 0 1 2 1 0 1 1 2 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 2 1 1 2 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 2 1 0 1 0 1
rg
2 0 0 0 0 1 1 1 0
{"source_dataset": "string_synthesis", "source_index": 0, "states": [[5, 3, 1, 0, 0, 0, 0, 0, 0], [4, 2, 0, 1, 0, 0, 0, 0, 0], [3, 1, 0, 1, 0, 1, 0, 0, 0], [2, 0, 0, 1, 0, 2, 0, 0, 0], [2, 0, 0, 0, 0, 1, 1, 1, 0]], "solution": [2, 0, 0, 0, 0, 1, 1, 1, 0], "initial_blocks": [5, 3, 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 5 [A], 3 [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": 0.0001201629638671875, "_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], 3 [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
43
{"source_dataset": "simple_equations", "source_index": 0, "equation": "65*m + 81 = 2876", "variable": "m", "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": "Solve for m: 65*m + 81 = 2876", "_time": 0.0005595684051513672, "_task": "rg", "_level": 0}
Solve for m: 65*m + 81 = 2876
rg
tbiibt
{"source_dataset": "palindrome_generation", "source_index": 0, "letters": ["i", "t", "i", "b", "b", "t"], "generated_palindrome": "tbiibt", "length": 6, "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: i, t, i, b, b, t\n", "_time": 0.00010776519775390625, "_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: i, t, i, b, b, t
rg
AGAR,AGAS,ALAS,ALMS,AIMS,DIMS,DIME,DICE,MICE
{"source_dataset": "word_ladder", "source_index": 0, "start_word": "AGAR", "end_word": "MICE", "word_length": 4, "chain_length": 9, "difficulty": {"word_length": [4, 4]}, "task_name": "RG.word_ladder", "_question": "Transform the word ladder 'AGAR' to 'MICE' by changing one letter at a time.\nProvide your answer as a comma-separated sequence of uppercase letters without spaces.\nEach step must be a valid English word.", "_time": 0.0547490119934082, "_task": "rg", "_level": 0}
Transform the word ladder 'AGAR' to 'MICE' by changing one letter at a time. Provide your answer as a comma-separated sequence of uppercase letters without spaces. Each step must be a valid English word.
rg
5
{"source_dataset": "maze", "source_index": 0, "grid_size": 10, "grid": ["__________", "__,,_,,,,_", "__,,_,M,__", "_,,_,,,,,_", "_,_,,,,,,_", "_,_,j,,,,_", "_,_,,__,,_", "_,_,,_,,,_", "____,,,,,_", "__________"], "shortest_path_length": 5, "start": "M", "goal": "j", "wall": "_", "path": ",", "difficulty": {"dist": [5, 10], "grid_size": [5, 10]}, "task_name": "RG.maze", "_question": "Navigate from 'M' (start) to 'j' (goal):\n\n```\n__________\n__,,_,,,,_\n__,,_,M,__\n_,,_,,,,,_\n_,_,,,,,,_\n_,_,j,,,,_\n_,_,,__,,_\n_,_,,_,,,_\n____,,,,,_\n__________\n```\nLegend: '_' = Wall, ',' = Passage\n\nWhat is the minimum number of steps to reach the goal?\nGive only the number of steps as your final answer, no other text or formatting.", "_time": 0.00018310546875, "_task": "rg", "_level": 0}
Navigate from 'M' (start) to 'j' (goal): ``` __________ __,,_,,,,_ __,,_,M,__ _,,_,,,,,_ _,_,,,,,,_ _,_,j,,,,_ _,_,,__,,_ _,_,,_,,,_ ____,,,,,_ __________ ``` 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
7 × 7 × 7
{"source_dataset": "prime_factorization", "source_index": 0, "number": 343, "factors": [7, 7, 7], "difficulty": {"value": [2, 1000]}, "task_name": "RG.prime_factorization", "_question": "Find the prime factorization of 343. Write the factors separated by \u00d7 (Example: for 12 the answer would be: 2 \u00d7 2 \u00d7 3)", "_time": 9.250640869140625e-05, "_task": "rg", "_level": 0}
Find the prime factorization of 343. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
rg
53
{"source_dataset": "simple_equations", "source_index": 0, "equation": "64*u + 83 = 3475", "variable": "u", "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 u in the equation: 64*u + 83 = 3475", "_time": 0.0005939006805419922, "_task": "rg", "_level": 0}
Find the value of u in the equation: 64*u + 83 = 3475
rg
Mr, the, to
{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 3, "words": ["to", "the", "Mr"], "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: to, the, Mr\n", "_time": 0.002204418182373047, "_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: to, the, Mr
rg
11
{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1], [2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1], [0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1], [1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2], [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, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1], [1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0], [1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0]], "solution": 11, "n": 30, "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:\n1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1\n1 1 1 1 1 1 1 1 0 1 2 1 0 1 0 0 1 0 0 1 0 2 1 0 1 1 0 0 1 0\n1 1 1 1 1 0 1 1 1 0 1 1 2 1 0 1 1 0 1 2 1 0 0 1 1 1 1 1 1 1\n2 2 1 1 1 1 0 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 0 1 1 1 0 0 2 2 1 2 1 1 1 2 2 1 1 1 1 1 1 1\n2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 0 2 0 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1\n1 0 1 1 1 1 2 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 2 1 1 1 0 1 0 1\n2 1 0 0 1 1 1 0 1 1 1 1 1 1 1 2 1 1 0 1 1 0 1 2 1 0 1 0 1 1\n1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 2 1 1 2 1\n0 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 2 1 0 1 1 1\n1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 2 1 1 1\n1 1 0 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1\n2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 2 1 1 1 1 1\n1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1\n1 1 0 1 1 1 2 0 2 1 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 0 0 2 1 1\n0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 2 0 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 0 2 0 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 1 0 1 0 2 1 1 2 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 0\n0 1 1 1 1 1 1 2 1 1 1 1 1 0 2 0 1 1 1 1 1 1 0 0 1 0 1 1 1 2\n1 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 1 1 1 1\n0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 2 1 1 2 1 2 1 1 1 1 1 1 1 1 1\n1 1 1 0 0 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1\n1 2 2 1 1 1 2 1 1 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1\n0 1 0 2 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 2 1 1 0 0 1 1 1 1 2 0\n1 1 0 0 2 1 1 0 1 0 1 0 1 1 0 2 1 1 1 0 1 1 0 1 1 1 1 1 1 0\n2 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 0 1 0 1 1 1\n0 0 1 0 2 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1\n1 2 1 1 2 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0\n", "_time": 0.0009665489196777344, "_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: 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 0 1 0 0 1 0 0 1 0 2 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 2 1 0 1 1 0 1 2 1 0 0 1 1 1 1 1 1 1 2 2 1 1 1 1 0 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 2 2 1 2 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 2 1 1 1 0 1 0 1 2 1 0 0 1 1 1 0 1 1 1 1 1 1 1 2 1 1 0 1 1 0 1 2 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 2 1 1 2 1 0 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 2 1 1 1 1 1 0 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 2 0 2 1 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 0 0 2 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 2 1 1 2 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 1 1 1 1 1 0 2 0 1 1 1 1 1 1 0 0 1 0 1 1 1 2 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 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 2 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 2 2 1 1 1 2 1 1 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 2 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 2 1 1 0 0 1 1 1 1 2 0 1 1 0 0 2 1 1 0 1 0 1 0 1 1 0 2 1 1 1 0 1 1 0 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 2 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 2 1 1 2 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0
rg
2 1 0 0 1 2 2 1 0 0 1 2 1 0 0 1 0 1 0 0 1 0 1 2 1 1 2 1 1 2 1 0 1 0 0 1
{"source_dataset": "binary_matrix", "source_index": 0, "matrix": [[1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1]], "solution": [[2, 1, 0, 0, 1, 2], [2, 1, 0, 0, 1, 2], [1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 2], [1, 1, 2, 1, 1, 2], [1, 0, 1, 0, 0, 1]], "n": 6, "difficulty": {"n": [3, 10], "p_zero": 0.25}, "task_name": "RG.binary_matrix", "_question": "Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell.\n\nThe output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0.\n\nFind the distance to the nearest 0 for each cell in the matrix below:\n1 1 0 0 1 1\n1 1 0 0 1 1\n1 0 0 1 0 1\n0 0 1 0 1 1\n1 1 1 1 1 1\n1 0 1 0 0 1\n", "_time": 0.0001537799835205078, "_task": "rg", "_level": 0}
Given a square matrix, your job is to find the taxicab (Manhattan) distance of the nearest 0 for each cell. The output should be a matrix of the same size as the input matrix, where each cell contains the distance to the nearest 0. Find the distance to the nearest 0 for each cell in the matrix below: 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1
rg
_ _ _ _ _ Q _ _ _ _ Q _ _ _ _ _ _ _ _ _ Q _ _ _ _ _ _ _ _ _ _ Q Q _ _ _ _ _ _ _ _ _ _ Q _ _ _ _ _ Q _ _ _ _ _ _ _ _ _ _ _ _ Q _
{"source_dataset": "n_queens", "source_index": 0, "puzzle": [["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "_"]], "solutions": [[["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "Q", "_"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "Q", "_", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "Q"]], [["_", "_", "_", "_", "_", "Q", "_", "_"], ["_", "_", "Q", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "Q", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "_", "Q"], ["Q", "_", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "Q", "_", "_", "_", "_"], ["_", "Q", "_", "_", "_", "_", "_", "_"], ["_", "_", "_", "_", "_", "_", "Q", "_"]]], "num_removed": 3, "valid_answers": ["_ _ _ _ _ Q _ _\n_ _ Q _ _ _ _ _\n_ _ _ _ Q _ _ _\n_ _ _ _ _ _ Q _\nQ _ _ _ _ _ _ _\n_ _ _ Q _ _ _ _\n_ Q _ _ _ _ _ _\n_ _ _ _ _ _ _ Q", "_ _ _ _ _ Q _ _\n_ _ Q _ _ _ _ _\n_ _ _ _ Q _ _ _\n_ _ _ _ _ _ _ Q\nQ _ _ _ _ _ _ _\n_ _ _ Q _ _ _ _\n_ Q _ _ _ _ _ _\n_ _ _ _ _ _ Q _"], "difficulty": {"n": 8, "num_removed": [1, 7]}, "task_name": "RG.n_queens", "_question": "Your job is to complete an n x n chess board with n Queens in total, such that no two attack each other.\n\nNo two queens attack each other if they are not in the same row, column, or diagonal.\n\nYou can place a queen by replacing an underscore (_) with a Q.\n\nYour output should be also a board in the same format as the input, with queens placed on the board by replacing underscores with the letter Q.\n\nGiven the below board of size 8 x 8 your job is to place 3 queen(s) on the board such that no two queens attack each other.\n_ _ _ _ _ Q _ _\n_ _ Q _ _ _ _ _\n_ _ _ _ Q _ _ _\n_ _ _ _ _ _ _ _\nQ _ _ _ _ _ _ _\n_ _ _ _ _ _ _ _\n_ Q _ _ _ _ _ _\n_ _ _ _ _ _ _ _\n", "_time": 0.0038166046142578125, "_task": "rg", "_level": 0}
Your job is to complete an n x n chess board with n Queens in total, such that no two attack each other. No two queens attack each other if they are not in the same row, column, or diagonal. You can place a queen by replacing an underscore (_) with a Q. Your output should be also a board in the same format as the input, with queens placed on the board by replacing underscores with the letter Q. Given the below board of size 8 x 8 your job is to place 3 queen(s) on the board such that no two queens attack each other. _ _ _ _ _ Q _ _ _ _ Q _ _ _ _ _ _ _ _ _ Q _ _ _ _ _ _ _ _ _ _ _ Q _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Q _ _ _ _ _ _ _ _ _ _ _ _ _ _
rg
UUUUDDDRU
{"source_dataset": "sokoban", "source_index": 0, "gamestr": "+ + + + + + + \n+ X $ + + + + \n+ - + - - + + \n+ - X $ - + + \n+ - @ - - - + \n+ @ - - - - + \n+ * $ + + + + \n+ + + + + + + \n\n", "width": 7, "height": 8, "difficulty": {"width": [6, 10], "height": [6, 10]}, "task_name": "RG.sokoban", "_question": "You are going to solve a 'sokoban' puzzle.\n\n* - The player\n% - The player on a goal\n@ - A box\nX - A goal\n$ - A box on a goal\n+ - A wall\n- - An empty position\n\nYour solution must be a string of characters, ex: LDURRUDL.\n\nHere is your puzzle:\n+ + + + + + + \n+ X $ + + + + \n+ - + - - + + \n+ - X $ - + + \n+ - @ - - - + \n+ @ - - - - + \n+ * $ + + + + \n+ + + + + + + \n\n", "_time": 0.002575397491455078, "_task": "rg", "_level": 0}
You are going to solve a 'sokoban' puzzle. * - The player % - The player on a goal @ - A box X - A goal $ - A box on a goal + - A wall - - An empty position Your solution must be a string of characters, ex: LDURRUDL. Here is your puzzle: + + + + + + + + X $ + + + + + - + - - + + + - X $ - + + + - @ - - - + + @ - - - - + + * $ + + + + + + + + + + +
rg