images images listlengths 1 1 | problem stringlengths 383 2.2k | answer stringclasses 4
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<image>You are solving a Star Battle puzzle. The rules are:
1. Each row, column, and region must contain exactly one star
2. Stars cannot touch each other, not even diagonally
Look at the puzzle image which shows the current state. Different colors in the image represent different regions, and any stars that have alre... | C | |
<image>You need to solve a 6x6 Kakuro puzzle.
**Kakuro Puzzle Rules (6x6 Grid):**
1. **Grid:** The grid is a 6x6 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | B | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | B | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | B | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | D | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | A | |
<image>You need to solve a Binairo puzzle.
**Binairo Puzzle Rules:**
1. Each cell must contain either a 0 or a 1.
2. There can be no more than two consecutive identical numbers in any row or column (e.g., 000 or 111 are not allowed).
3. Each row and each column must contain an equal number of 0s and 1s.
4. No two ... | B | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | B | |
<image>You are a Nonogram player. You need to fill in cells in a grid based on numbers at the side of the grid.
**Nonogram Rules:**
1. For each row or column, the numbers indicate the lengths of consecutive filled cells in that row/column.
2. For example, '2 3' means there are two blocks of filled cells - first 2 cell... | C | |
<image>You need to solve a 7x7 Kakuro puzzle.
**Kakuro Puzzle Rules (7x7 Grid):**
1. **Grid:** The grid is a 7x7 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | A | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | C | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | B | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | B | |
<image>You need to solve a 3x3 Kakuro puzzle.
**Kakuro Puzzle Rules (3x3 Grid):**
1. **Grid:** The grid is a 3x3 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | C | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | A | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | C | |
<image>You are a Star Battle player. You have to place stars on the grid such that each row, column, and region contains exactly one star. Additional rule is: stars cannot touch each other, not even diagonally.
Your task is to choose the correct grid configuration from the options below that represents the solution to... | C | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | C | |
<image>You need to solve a 5x5 Kakuro puzzle.
**Kakuro Puzzle Rules (5x5 Grid):**
1. **Grid:** The grid is a 5x5 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | B | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | A | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | C | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | D | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | D | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | B | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | A | |
<image>You are a Nonogram player. You need to fill in cells in a grid based on numbers at the side of the grid.
**Nonogram Rules:**
1. For each row or column, the numbers indicate the lengths of consecutive filled cells in that row/column.
2. For example, '2 3' means there are two blocks of filled cells - first 2 cell... | D | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | D | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | C | |
<image>🔢 FUTOSHIKI PUZZLE 🔢
How to Play:
Fill the 4×4 grid with numbers!
Your Tools:
📝 Numbers to use: 1, 2, ..., 4
🎯 Starting clues: 11 numbers already placed
❓ Empty spaces: marked with *
The Rules:
✓ Each row needs all numbers 1-4 (no repeats!)
✓ Each column needs all numbers 1-4 (no repeats!)
✓ Follow the in... | C | |
<image>You are solving a Star Battle puzzle. The rules are:
1. Each row, column, and region must contain exactly one star
2. Stars cannot touch each other, not even diagonally
Look at the puzzle image which shows the current state. Different colors in the image represent different regions, and any stars that have alre... | B | |
<image>You need to solve a Binairo puzzle.
**Binairo Puzzle Rules:**
1. Each cell must contain either a 0 or a 1.
2. There can be no more than two consecutive identical numbers in any row or column (e.g., 000 or 111 are not allowed).
3. Each row and each column must contain an equal number of 0s and 1s.
4. No two ... | A | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | C | |
<image>You need to solve a 4x4 Kakuro puzzle.
**Kakuro Puzzle Rules (4x4 Grid):**
1. **Grid:** The grid is a 4x4 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | C | |
<image>You need to solve a 5x5 Kakuro puzzle.
**Kakuro Puzzle Rules (5x5 Grid):**
1. **Grid:** The grid is a 5x5 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | A | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | D | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | D | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | C | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | A | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | C | |
<image>As a master puzzle solver, you face a 4×4 Futoshiki grid.
The ancient rules decree:
• Each sacred number from 1 to 4 must appear exactly once in every row
• Each sacred number from 1 to 4 must appear exactly once in every column
• The mystical inequality symbols guide your path:
- When you see '>', the left n... | A | |
<image>As a master puzzle solver, you face a 8×8 Futoshiki grid.
The ancient rules decree:
• Each sacred number from 1 to 8 must appear exactly once in every row
• Each sacred number from 1 to 8 must appear exactly once in every column
• The mystical inequality symbols guide your path:
- When you see '>', the left n... | A | |
<image>You are a Nonogram player. You need to fill in cells in a grid based on numbers at the side of the grid.
**Nonogram Rules:**
1. For each row or column, the numbers indicate the lengths of consecutive filled cells in that row/column.
2. For example, '2 3' means there are two blocks of filled cells - first 2 cell... | D | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | A | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | C | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | C | |
<image>You are a Star Battle player. You have to place stars on the grid such that each row, column, and region contains exactly one star. Additional rule is: stars cannot touch each other, not even diagonally.
Your task is to choose the correct grid configuration from the options below that represents the solution to... | B | |
<image>You need to solve a Binairo puzzle.
**Binairo Puzzle Rules:**
1. Each cell must contain either a 0 or a 1.
2. There can be no more than two consecutive identical numbers in any row or column (e.g., 000 or 111 are not allowed).
3. Each row and each column must contain an equal number of 0s and 1s.
4. No two ... | D | |
<image>Let's solve this Futoshiki puzzle together!
Here's what you need to know:
- Fill in the empty cells (marked with *) with numbers from 1 to 4
- Each row must have all different numbers (1 through 4)
- Each column must have all different numbers (1 through 4)
- Pay attention to the inequality signs!
- '>' mean... | D | |
<image>You are a Star Battle player. You have to place stars on the grid such that each row, column, and region contains exactly one star. Additional rule is: stars cannot touch each other, not even diagonally.
Your task is to choose the correct grid configuration from the options below that represents the solution to... | A | |
<image>You need to solve a Binairo puzzle.
**Binairo Puzzle Rules:**
1. Each cell must contain either a 0 or a 1.
2. There can be no more than two consecutive identical numbers in any row or column (e.g., 000 or 111 are not allowed).
3. Each row and each column must contain an equal number of 0s and 1s.
4. No two ... | C | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | A | |
<image>**Logical Deduction Exercise: Futoshiki**
Given:
- Let G be a 4×4 grid
- Let D = {1, 2, ..., 4} be the domain
- Let I be the set of inequality constraints
- Initial state has 12 assigned values
Conditions:
1. ∀ row r: |{G[r,c] : c ∈ [0,3]}| = 4
2. ∀ column c: |{G[r,c] : r ∈ [0,3]}| = 4
3. ∀ (i,j) ∈ I: the ineq... | C | |
<image>You need to solve this Killer Sudoku puzzle.
Fill the grid so that each row, column, and box has unique digits.
In each colored cage, the sum of digits equals the given number, and digits do not repeat.
Option A:
```
1 4 2 3
4 3 1 2
3 2 4 1
2 1 3 4
```
Option B:
```
1 4 2 3
3 2 4 1
4 3 1 2
2 1 3 4
```
Option ... | B | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | C | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | D | |
<image>You need to solve a 9x9 Kakuro puzzle.
**Kakuro Puzzle Rules (9x9 Grid):**
1. **Grid:** The grid is a 9x9 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | B | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | A | |
<image>You need to solve this Killer Sudoku puzzle.
Fill the grid so that each row, column, and box has unique digits.
In each colored cage, the sum of digits equals the given number, and digits do not repeat.
Option A:
```
4 2 1 3
3 1 2 4
2 3 4 1
1 4 3 2
```
Option B:
```
4 2 1 3
1 4 3 2
2 3 4 1
3 1 2 4
```
Option ... | A | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve a 8x8 Kakuro puzzle.
**Kakuro Puzzle Rules (8x8 Grid):**
1. **Grid:** The grid is a 8x8 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | C | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | A | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | C | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve a 9x9 Kakuro puzzle.
**Kakuro Puzzle Rules (9x9 Grid):**
1. **Grid:** The grid is a 9x9 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | D | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | D | |
<image>You need to solve this Killer Sudoku puzzle.
Fill the grid so that each row, column, and box has unique digits.
In each colored cage, the sum of digits equals the given number, and digits do not repeat.
Option A:
```
9 5 4 1 2 3 6 7 8
2 3 8 6 4 7 1 9 5
6 7 1 8 9 5 2 3 4
1 4 6 2 7 9 5 8 3
3 9 5 4 6 8 7 2 1
8 2 7... | A | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | A | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | C | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | C | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | C | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | D | |
<image>You need to solve a 5x5 Kakuro puzzle.
**Kakuro Puzzle Rules (5x5 Grid):**
1. **Grid:** The grid is a 5x5 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | A | |
<image>You need to solve this Killer Sudoku puzzle.
Fill the grid so that each row, column, and box has unique digits.
In each colored cage, the sum of digits equals the given number, and digits do not repeat.
Option A:
```
2 1 3 4
4 3 1 2
3 4 2 1
1 2 4 3
```
Option B:
```
2 1 3 4
3 4 2 1
4 3 1 2
1 2 4 3
```
Option ... | A | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | C | |
<image>You need to solve a 6x6 Kakuro puzzle.
**Kakuro Puzzle Rules (6x6 Grid):**
1. **Grid:** The grid is a 6x6 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | D | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | C | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | A | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | C | |
<image>You need to solve a Sudoku puzzle of size 9x9.
**Sudoku Puzzle Rules (9x9 grid):**
1. **The Grid:** The grid is a 9x9 square, further divided into each 3x3 subgrid (non-overlapping regions).
2. **The Goal:** Fill all empty cells in the grid with digits from 1 to 9.
3. **Constraints:** Each digit (1 to 9) mus... | A | |
<image>**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a uniform level. This means: if a cell is... | C | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve a Binairo puzzle.
**Binairo Puzzle Rules:**
1. Each cell must contain either a 0 or a 1.
2. There can be no more than two consecutive identical numbers in any row or column (e.g., 000 or 111 are not allowed).
3. Each row and each column must contain an equal number of 0s and 1s.
4. No two ... | B | |
<image>You need to solve this Killer Sudoku puzzle.
Fill the grid so that each row, column, and box has unique digits.
In each colored cage, the sum of digits equals the given number, and digits do not repeat.
Option A:
```
4 2 1 3
2 4 3 1
1 3 4 2
3 1 2 4
```
Option B:
```
1 3 4 2
4 2 1 3
2 4 3 1
3 1 2 4
```
Option ... | C | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | D | |
<image>You need to solve a 9x9 Kakuro puzzle.
**Kakuro Puzzle Rules (9x9 Grid):**
1. **Grid:** The grid is a 9x9 square, containing blank cells and clue cells.
2. **Objective:** Fill all blank cells with numbers from 1 to 9.
3. **Constraints:** Each digit (1 to 9) must satisfy the following conditions:
a. The sum of ... | B | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | D | |
<image>You are a Star Battle player. You have to place stars on the grid such that each row, column, and region contains exactly one star. Additional rule is: stars cannot touch each other, not even diagonally.
Your task is to choose the correct grid configuration from the options below that represents the solution to... | B | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | C | |
<image>Now you are asked to solve a new ARC puzzle. You are given up to three example pairs of ARC grids, each showing an input state and its correct output state. You should learn the transformation rules from these examples. Below these training examples is a new test input grid. Four candidate outputs labeled A, B, ... | B | |
<image>You need to solve an Aquarium puzzle.
**Aquarium Puzzle Rules:**
1. **The Grid:** The grid is divided into several regions called "tanks" by the thick colored (red) lines.
2. **The Goal:** Your goal is to fill some cells in the grid with "water".
3. **Water Levels:** Within each tank, water must settle at a ... | B | |
<image>**Futoshiki Puzzle Analysis**
You are presented with a 8×8 Futoshiki puzzle requiring logical deduction and constraint satisfaction.
**Fundamental Rules:**
• Each row must contain the digits 1 through 8 exactly once
• Each column must contain the digits 1 through 8 exactly once
• All inequality constraints bet... | B | |
<image>**FUTOSHIKI CHALLENGE**
Can you conquer this 8×8 logic puzzle? Only 13 clues provided!
⚡ THE RULES:
1. Fill every cell with digits 1-8
2. No repeats in any row or column
3. Respect ALL inequality signs:
• > means "greater than"
• < means "less than"
• ^ means "up is less"
• v means "up is greater"... | B | |
<image>You need to solve a Light Up puzzle.
**Puzzle Rules:**
1. A bulb (`s`) illuminates its entire row and column until blocked by a wall.
2. Numbered walls must have exactly that many bulbs adjacent (up/down/left/right).
3. Bulbs cannot illuminate each other.
Below is the puzzle (walls shown in the image). Fill bu... | A |
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