problem string | solution string | answer string | gemini_solution string | incorrect_solution string | rephrased_solution string |
|---|---|---|---|---|---|
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.
## Format Explanation ##
Coordinates:
- We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so o... |
<vl><value3><r5><c4><co><+><value2><r4><c5><co><+><value2><r6><c4><co><+><value2><r6><c6><co><+><value4><r4><c3><co><+><value4><r4><c4><co><+><value4><r4><c5><co><-><value2><r4><c5><co><+><value4><r4><c6><co><+><value4><r4><c7><cl><value0><r5><c4><co><-><value2><r6><c4><co><-><value2><r6><c6><co><+><value4><r3><c9><c... | 394867521561243879728195463217436958489571632653928147132659784975384216846712395 | Based on the provided rules, visual elements, and the reference solution logic, here is the step-by-step resolution of the Sudoku grid:
1. **Box 5 (Center):** The 11-cage covers the entire 3x3 box. To satisfy the Heyawake rules (shaded cells cannot touch) and the sum of 11, the box must have 5 shaded cells in a "dice... | We are given a **Sudoku variant** with **killer cages**, **shaded cells**, and **circles** indicating constraints.
Let’s carefully analyze and solve this step by step.
---
## 🔍 Understanding the Puzzle
### Rules Recap:
1. **Standard Sudoku rules** apply: each row, column, and 3×3 box contains digits 1–9 with no re... | Let's solve the Sudoku puzzle step-by-step, guided by the reference solution and the rules provided.
---
### **Understanding the Puzzle**
We are given:
- A **9x9 Sudoku grid** with all cells initially blank.
- Several **killer cages** (sum constraints), each with a value and a list of cells.
- **Circles** (white, bl... |
You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.
## Format Explanation ##
Coordinates:
- We will use r{x}c{y} coordinates. For example, r1c1 is the top-left cell at row 1 column 1, r1c2 is the cell to the right at row 1 column 2, r2c1 is the cell below at row 2 column 1, and so o... |
Keep the roof of the mouth from drying up. Let's get cracking. So, Skeptical Mario is too skeptical to give us any cages where I definitely know the digits. There must be a one and a two and a three in the
17 cage.
A five-cell 17 cage is either one, two, three, four, seven or one, two, three, five, six.
Is tha... | 479638215328915467651247983145876329297153846863492571586321794714589632932764158 | Based on the provided reference solution, here is the step-by-step derivation of the final grid:
1. **Initial Analysis & Box 9**: The 17-cage in Box 9 (r8c7, r8c8, r8c9, r9c7, r9c8) must contain {1, 2, 3, 5, 6}. This forces the remaining cells in Box 9 (r7c7, r7c8, r7c9, r9c9) to contain {4, 7, 8, 9}. Logic dictates ... | We are given a Sudoku puzzle with **Killer cages** (sum constraints) and **standard Sudoku rules** (no repeats in rows, columns, or 3×3 boxes). Our goal is to solve the 9×9 grid uniquely, respecting all constraints.
---
### Step 1: Understand the Killer Cages
List of Killer Cages (with sum and cells):
1. **Sum 14**... | Let's solve the Sudoku puzzle step-by-step, guided by the logic and deductions from the reference solution.
---
### **Step 1: Understand the Rules and Given Cages**
We are solving a **standard 9×9 Sudoku** with **Killer cages**. Each cage has a sum, and digits in a cage must be unique and sum to the clue.
#### **Ca... |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nI'm going to start now. Let's get cracking. So we have very little to go on. There's not much (...TRUNCATED) | 597183462216497538348625791923746185785312649164859273639271854852964317471538926 | "<ANSWER>\n597483982\n146892538\n862525741\n923341158\n735312664\n144455229\n669271885\n851864317\n4(...TRUNCATED) | "Let's solve this Sudoku variant step by step.\n\n---\n\n### **Understanding the Puzzle**\n\nWe are (...TRUNCATED) | "Let's solve the Sudoku puzzle step-by-step, guided by the reference solution and the rules provided(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nbecause it's a fascinating idea. Let's get cracking. So the first thing I'm going to observe i(...TRUNCATED) | 523641461352342516156234215463634125 | "To solve this \"Split Pea Sudoku\" puzzle, we must first understand the constraints imposed by the (...TRUNCATED) | "Let's solve this **6x6 Sudoku variant** with a **Split Pea Line** rule.\n\n---\n\n### Step 1: Under(...TRUNCATED) | "Let's solve this 6×6 Sudoku puzzle with the **Split Pea Line** rule step-by-step, guided by the re(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nThe player is struggling with row 2, columns 8 and 9. They repeatedly select and deselect thes(...TRUNCATED) | 058362741236174805147085632725843160813650274604721583362507418580416327471238056 | "Based on the rules and the step-by-step logical deduction guided by the reference solution, here is(...TRUNCATED) | "We are given a **Sudoku variant** with additional constraints:\n\n### Rules Recap:\n- Standard Sudo(...TRUNCATED) | "Let's solve the Sudoku step-by-step, guided by the rules and the reference solution provided.\n\n--(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | "\n\nI would normally begin with a run of three black cells but obviously the values in this puzzle (...TRUNCATED) | 965231748184567329273984516752198463841673952396425187619342875528719634437856291 | "Based on the rules and the step-by-step derivation guided by the reference solution, here is the so(...TRUNCATED) | "Let's solve this Sudoku variant step by step, carefully analyzing the rules and visual elements.\n\(...TRUNCATED) | "Let's solve this Sudoku variant step-by-step, guided by the reference solution and the rules provid(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nvideo as usual. But now I get to play. Let's get cracking. Now, how do you do a puzzle like th(...TRUNCATED) | 4158673254273681 | "To solve this 4x4 Sudoku variant, we will follow the logic provided in the reference solution, orga(...TRUNCATED) | "We are given a 4×4 Sudoku variant with special constraints involving **sums** for digits separated(...TRUNCATED) | null |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\n<vl><value1><r2><c2><cl><value0><r2><c2> as usual. But now I get to play. Let's get cracking. (...TRUNCATED) | 624781187642218467476218741826862174 | "To solve this Sudoku variant, we must determine the 6 distinct digits used in the puzzle and place (...TRUNCATED) | "Let's solve this step by step.\n\n---\n\n### **Understanding the Puzzle**\n\nWe are given a **6×6 (...TRUNCATED) | "Let's solve this 6×6 Sudoku variant step by step, guided by the rules and visual elements provided(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nThat's unsurprising, right? I am going to just plunge in, give this a go, learn something abou(...TRUNCATED) | 865913427723648519419752638954327861136589274287461395672894153341275986598136742 | "Based on the rules and the reference solution provided, here is the step-by-step derivation of the (...TRUNCATED) | "We are given a complex Sudoku variant with multiple constraints:\n\n- Standard Sudoku rules: each r(...TRUNCATED) | "It appears that the reference solution provided is a highly disorganized, partially coherent, and i(...TRUNCATED) |
"You are a professional Sudoku puzzle solver. Please solve the following Sudoku variant.\n\n## Forma(...TRUNCATED) | " \n\nAnyway, I'm going to have a go now. Let's get cracking. \n\nSo the V in row 3, columns 3 and 4(...TRUNCATED) | 683572941942618735751493628475321896369845217218967354196734582534286179827159463 | "Based on the rules and the step-by-step logical deduction guided by the reference solution, here is(...TRUNCATED) | "We are given a Sudoku variant with additional constraints involving:\n\n- **Pumpkin (darkorange lin(...TRUNCATED) | "Let's solve this Sudoku puzzle step-by-step, guided by the visual elements and the reference soluti(...TRUNCATED) |
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