index stringlengths 11 41 | category stringclasses 29
values | image imagewidth (px) 200 2.85k | question stringlengths 164 1.88k | question_language stringlengths 206 3.28k | answer stringlengths 1 392 | initial_state stringlengths 0 3.36k | difficulty stringclasses 12
values | cot stringlengths 734 43.4k | cot_step1_all stringlengths 215 1.68k ⌀ | cot_step2_all stringlengths 458 8.89k ⌀ | cot_step3_all stringlengths 2.86k 37.4k ⌀ | Qwen3_235B stringlengths 258 66k ⌀ | Qwen3_235B_ok bool 2
classes | task_name stringclasses 29
values | level stringclasses 6
values |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aquarium_4_4_4006 | aquarium |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... | [(0, 0), (1, 0), (1, 1), (0, 2), (1, 2), (2, 3), (3, 3)] | {"regions": [[0, 0, 1, 2], [3, 4, 5, 5], [6, 7, 5, 8], [9, 10, 11, 11]], "row_clues": [2, 1, 2, 2], "col_clues": [2, 3, 1, 1], "grid_size": [4, 4]} | 1 | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me take a closer look at this aquarium puzzle. It’s a 4×4 grid divided into several regions by thick black lines, and my job is to figure out which cells are filled with water, following some specific rules.
First, let's get clear on what we're working with. The rules say that each region (those groups of cells bo... | true | aquarium | ||
aquarium_4_4_4007 | aquarium |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... | [(0, 2), (3, 2), (0, 3), (1, 3), (3, 3)] | {"regions": [[0, 1, 2, 6], [3, 4, 5, 6], [7, 9, 5, 11], [8, 9, 10, 11]], "row_clues": [0, 0, 2, 3], "col_clues": [2, 1, 0, 2], "grid_size": [4, 4]} | 1 | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle problem and create a more natural, exploratory reasoning process.
First, let me understand what the puzzle is asking:
- We have a 4x4 grid divided into regions (aquariums)
- Each region must be filled with water from the bottom up to a uniform level
- Water can't float - if a cell h... | true | aquarium | ||
aquarium_4_4_4008 | aquarium |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... | [(0, 1), (1, 1), (3, 1), (1, 2), (0, 3), (1, 3)] | {"regions": [[0, 0, 0, 1], [2, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 11]], "row_clues": [0, 3, 1, 2], "col_clues": [2, 3, 0, 1], "grid_size": [4, 4]} | 1 | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me take a closer look at this aquarium puzzle. It’s a 4×4 grid divided into several regions by thick black lines, and each region behaves like a separate tank—water fills from the bottom up, uniformly, and can’t float. My job is to figure out exactly which cells are filled, based on the row and column clues.
The r... | true | aquarium | ||
aquarium_4_4_4009 | aquarium |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... |
The grid is divided into multiple aquariums (regions). Your task is to determine which cells are filled with water based on the following rules:
### Game Rules:
1. Each region must be filled to a uniform water level (from bottom up).
2. Water cannot float — if a cell is filled, the cell directly below it (if any, in ... | [(1, 1), (3, 1), (2, 2), (3, 2), (0, 3), (2, 3), (3, 3)] | {"regions": [[0, 1, 2, 3], [8, 4, 5, 6], [8, 8, 10, 7], [8, 9, 10, 11]], "row_clues": [0, 2, 2, 3], "col_clues": [1, 1, 2, 3], "grid_size": [4, 4]} | 1 | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me analyze this aquarium puzzle step by step
### Step 1: Understanding the puzzle rules and objectives This is a 4×4 aquarium puzzle with 12 distinct regions. Each region represents a separate aquarium tank that can be filled with water. **Core Game Rules:** 1. **Water Level Constraint**: Each region must be fill... | Let me take a closer look at this aquarium puzzle. It’s a 4×4 grid, and I can see thick black lines dividing it into several regions—each one an independent aquarium. The rules make sense: water fills from the bottom up, no gaps or floating cells, and every region has a uniform water level. The numbers on the right tel... | true | aquarium | ||
aquarium_4_4_4010 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(3, 1), (0, 3), (1, 3), (2, 3)] | "{\"regions\": [[0, 1, 4, 4], [2, 3, 3, 4], [5, 6, 7, 7], [8, 9, 10, 11]], \"row_clues\": [0, 1, 0, (...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me take a closer look at this aquarium puzzle. It’s a 4×4 grid, and I can see thick black li(...TRUNCATED) | true | aquarium | ||
aquarium_4_4_4011 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(1, 0), (2, 1), (3, 1), (0, 2), (1, 2), (2, 2), (3, 2), (0, 3), (1, 3), (2, 3)] | "{\"regions\": [[0, 1, 2, 3], [4, 5, 3, 3], [4, 6, 7, 8], [9, 10, 11, 12]], \"row_clues\": [1, 2, 4,(...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me take a close look at this aquarium puzzle. It’s a 4×4 grid, divided into several regions (...TRUNCATED) | true | aquarium | ||
aquarium_4_4_4012 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(1, 0), (2, 0), (1, 1), (2, 1), (2, 2), (0, 3), (1, 3), (2, 3), (3, 3)] | "{\"regions\": [[0, 1, 2, 3], [0, 1, 4, 5], [6, 7, 4, 8], [9, 10, 10, 11]], \"row_clues\": [2, 2, 1,(...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me take a closer look at this aquarium puzzle. It’s a 4×4 grid divided into several regions (...TRUNCATED) | true | aquarium | ||
aquarium_4_4_4013 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(0, 1), (1, 1), (1, 2), (2, 2), (3, 2), (0, 3), (1, 3), (2, 3)] | "{\"regions\": [[0, 1, 1, 2], [3, 4, 5, 6], [7, 8, 9, 9], [10, 8, 11, 12]], \"row_clues\": [0, 2, 3,(...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me take a look at this aquarium puzzle. It's a 4×4 grid divided into several regions by thick (...TRUNCATED) | true | aquarium | ||
aquarium_4_4_4014 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(0, 0), (1, 0), (0, 1), (1, 1), (0, 3), (1, 3), (2, 3), (3, 3)] | "{\"regions\": [[0, 0, 1, 4], [2, 2, 3, 4], [5, 6, 7, 8], [9, 10, 10, 11]], \"row_clues\": [2, 2, 0,(...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me take a closer look at this aquarium puzzle. It's a 4×4 grid, and I need to figure out which(...TRUNCATED) | true | aquarium | ||
aquarium_4_4_4015 | aquarium | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | "\nThe grid is divided into multiple aquariums (regions). Your task is to determine which cells are (...TRUNCATED) | [(3, 0), (2, 1), (3, 1), (0, 2), (1, 2), (2, 2), (3, 2), (0, 3), (1, 3), (2, 3)] | "{\"regions\": [[0, 1, 2, 3], [4, 1, 5, 5], [6, 7, 8, 8], [9, 10, 8, 11]], \"row_clues\": [1, 2, 4, (...TRUNCATED) | 1 | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "Let me analyze this aquarium puzzle step by step \n\n### Step 1: Understanding the puzzle rules and(...TRUNCATED) | "We are given a 4x4 grid with row clues [1,2,4,3] and column clues [2,2,3,3]. The total water cells (...TRUNCATED) | true | aquarium |
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