task_id string | pass_idx int64 | problem dict | judge_prompt list | judge_response string | judge_model string | timestamp string | inference_time float64 | group_idx int64 | solutions list | candidate_passes list | selected_position int64 | correct_positions list | is_correct bool | num_candidates int64 | extraction_error bool |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - missing indentation and function definition
- Code is incomplete - no function body exists
- No variable definitions or imports present
- F... | /tmp/merged | 2026-04-27T14:40:05.440909 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\nWe need to find a subgrid within a larger grid that matches a smaller grid. The grids are composed of characters `.` (white) and `#` (black). We need to identify the top-left corner `(a, b)` of the subgrid in the larger grid... | [
false,
true
] | 2 | [
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports and function structure
- All variables are properly defined before use
- No missing imports or undefined... | /tmp/merged | 2026-04-27T14:40:05.417575 | 5.955647 | 1 | [
{
"actual_passed": true,
"full_response": "### Analysis of the Problem:\nThe task is to find a smaller grid `T` within a larger grid `S`. Both grids are represented using characters where '.' denotes a white cell and '#' denotes a black cell. We need to identify the top-left corner `(a, b)` of the subgrid i... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports and variable definitions
- All variables are defined before use
- Function signature is complete
### ST... | /tmp/merged | 2026-04-27T14:40:05.456450 | 5.955647 | 2 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to find a subgrid of size \\( M \\times M \\) within a larger grid of size \\( N \\times N \\) such that the subgrid matches the given \\( M \\times M \\) grid \\( T \\).\n- **Time/S... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.421875 | 5.955647 | 3 | [
{
"actual_passed": true,
"full_response": "To solve the problem of finding the subgrid T within the larger grid S, we need to perform a straightforward search. Given the constraints (1 ≤ M ≤ N ≤ 50), a brute-force approach is feasible and efficient enough. Here's the step-by-step plan:\n\n### Step 1: Analyz... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition and main logic
- All variables are properly defined before use
- No missing imports needed
... | /tmp/merged | 2026-04-27T14:40:05.455108 | 5.955647 | 4 | [
{
"actual_passed": true,
"full_response": "To solve the problem of finding the subgrid T within the larger grid S, we need to perform a straightforward search. Given the constraints (1 ≤ M ≤ N ≤ 50), a brute-force approach is feasible and efficient enough. Here's the step-by-step plan:\n\n### Step 1: Analyz... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.465042 | 5.955647 | 5 | [
{
"actual_passed": true,
"full_response": "### Analysis of the Problem:\nThe task is to find a smaller grid `T` within a larger grid `S`. Both grids are represented using characters where '.' denotes a white cell and '#' denotes a black cell. We need to identify the top-left corner `(a, b)` of the subgrid i... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition and main logic
- All variables are properly defined before use
- Function signature includes... | /tmp/merged | 2026-04-27T14:40:05.429954 | 5.955647 | 6 | [
{
"actual_passed": true,
"full_response": "To solve the problem of finding the subgrid T within the larger grid S, we need to perform a straightforward search. Given the constraints (1 ≤ M ≤ N ≤ 50), a brute-force approach is feasible and efficient enough. Here's the step-by-step plan:\n\n### Step 1: Analyz... | [
true,
false
] | 1 | [
1
] | true | 2 | false |
abc391_b | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 2\\n#.#\\n..#\\n##.\\n.#\\n#.\", \"output\": \"2 2\", \"testtype\": \"stdin\"}, {\"input\": \"2 1\\n#.\\n##\\n.\", \"output\": \"1 2\", \"testtype\": \"stdin\"}]",
"question_content": "... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Seek Grid\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given an N \\times N grid S and an M \\times M grid T. The cell at the i-th row from the top... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports and function definitions
- All variables are properly defined before use
- Function signature inc... | /tmp/merged | 2026-04-27T14:40:05.453838 | 5.955647 | 7 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Core Algorithm:**\nThe problem requires finding a subgrid `T` within a larger grid `S`. This can be achieved by iterating over all possible starting positions `(a, b)` in `S` where a subgrid of size `M x M` can fit. For each starting position, we... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are properly defined
- Function signatures are complete
### ST... | /tmp/merged | 2026-04-27T14:40:05.433262 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks in the grid while handling the constraints effectively. Here's a step-by-step breakdown of the approach:\n\n### Step 1: Analyze the Problem\n\n**Core Algorithm:**\n1. **Initial Setup:** ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are properly defined before use
- Function signatures are compl... | /tmp/merged | 2026-04-27T14:40:05.447708 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks over time while handling up to \\(10^{100}\\) time units. Given the constraints, a direct simulation is infeasible due to its sheer size. Instead, we can leverage the periodic nature of ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports (`sys`, `defaultdict`)
- All variables are properly defined before use
- Function signature is co... | /tmp/merged | 2026-04-27T14:40:05.437056 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks over time while handling the constraints effectively. Here's a step-by-step breakdown of our approach:\n\n### Step 1: Analyze the Problem\n\n**Core Algorithm:**\n- Blocks fall downwards ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper variable definitions and function structure
- All variables are properly initial... | /tmp/merged | 2026-04-27T14:40:05.477599 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks over time while handling the constraints effectively. Here's a step-by-step breakdown of our approach:\n\n### Step 1: Analyze the Problem\n\n**Core Algorithm:**\n- Blocks fall downwards ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - missing function definition and implementation
- Not complete - no actual code implementation shown
- Variables undefined - no proper varia... | /tmp/merged | 2026-04-27T14:40:05.445726 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks in a grid over time while handling a large number of queries. Given the constraints, a direct simulation approach would be too slow. Instead, we can use a more analytical approach to det... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are present (`sys` module us... | /tmp/merged | 2026-04-27T14:40:05.444404 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks in the grid while handling the constraints effectively. Here's a step-by-step breakdown of the approach:\n\n### Step 1: Analyze the Problem\n\n**Core Algorithm:**\n1. **Initial Setup:** ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is incomplete - it shows just the conceptual approach without implementation details
- Variables like `blocks`, `Y`, etc. are ref... | /tmp/merged | 2026-04-27T14:40:05.474253 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks in a grid over time while handling a large number of queries. Given the constraints, a direct simulation approach would be too slow. Instead, we can use a more analytical approach to det... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_d | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"output\": \"Yes\\nYes\\nNo\\nYes\\nNo\\nYes\", \"testtype\": \"stdin\"}, {\"input\": \"3 2\\n1 1\\n2 1\\n1 2... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Gravity\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-th... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports (`sys`, `defaultdict`)
- All variables are properly defined before use
- Function signature is co... | /tmp/merged | 2026-04-27T14:40:05.471259 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to simulate the movement of blocks in a grid while handling up to \\(2 \\times 10^5\\) blocks and \\(2 \\times 10^5\\) queries. Given the constraints, a direct simulation would be too slow, so we need a more efficient app... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definitions and main execution block
- All variables are properly defined before us... | /tmp/merged | 2026-04-27T14:40:05.450166 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Core Algorithm:**\n1. **Majority Operation:** We need to repeatedly apply the majority operation to reduce the string until we get a single character. This involves partitioning the string into groups of three and selecting the majority element ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function definitions and main block
- All variables are properly defined before use
- No miss... | /tmp/merged | 2026-04-27T14:40:05.498453 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to understand how the majority operation affects the binary string and how we can minimize the number of changes to flip the final result.\n\n### Analysis:\n1. **Majority Operation**: For each group of three bits, the majority bit is... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definitions
- All variables are properly defined before use
- Imports are present (`sys` module used)
... | /tmp/merged | 2026-04-27T14:40:05.480989 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to repeatedly apply the majority operation on the binary string until we get a single bit result. The goal is to determine the minimum number of bit flips required to change the final result from `0` to `1` or vice versa.\n\n### Anal... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definitions and main execution
- All variables are properly defined before use
- Import statemen... | /tmp/merged | 2026-04-27T14:40:05.489971 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to transform a binary string `A` of length `3^N` through a series of operations to reduce it to a single bit `A'_1`.\n- Each operation involves partitioning the string into groups of three and replacing each group ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors detected
- Code is complete with proper function definitions and main logic
- All variables are properly defined before use
... | /tmp/merged | 2026-04-27T14:40:05.459313 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to repeatedly apply the majority operation on the binary string until we get a single bit result. The goal is to determine the minimum number of bit flips required to change the final result from `0` to `1` or vice versa.\n\n### Anal... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definitions and main execution block
- All variables are properly defined before us... | /tmp/merged | 2026-04-27T14:40:05.493642 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to simulate the process of repeatedly applying the majority operation on the binary string until we reach a single bit. The goal is to determine the minimum number of bit flips required to change the final result from 0 to 1 or from ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definitions and main execution
- All variables are properly defined before use
- Function ... | /tmp/merged | 2026-04-27T14:40:05.470247 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to transform a binary string `A` of length `3^N` through a series of operations to reduce it to a single bit `A'_1`.\n- Each operation involves partitioning the string into groups of three and replacing each group ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_e | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2\\n010011101\", \"output\": \"1\", \"testtype\": \"stdin\"}, {\"input\": \"1\\n000\", \"output\": \"2\", \"testtype\": \"stdin\"}]",
"question_content": "For a binary string B = B_1 B_2 ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Hierarchical Majority Vote\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor a binary string B = B_1 B_2 \\dots B_{3^n} of length 3^n (n \\geq 1), we define... | <think>
</think>
I'll analyze both solutions step by step using the evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definitions and main execution
- All variables are properly defined before use
- Imports are... | /tmp/merged | 2026-04-27T14:40:05.522448 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to transform a binary string `A` of length `3^N` through a series of operations to reduce it to a single bit `A'_1`.\n- Each operation involves partitioning the string into groups of three and replacing each group ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports and function structure
- All variables are properly defined before use
- Function si... | /tmp/merged | 2026-04-27T14:40:05.473308 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to avoid generating all \\(N^3\\) possible values directly, as it would be computationally infeasible for large \\(N\\). Instead, we can use a more sophisticated approach involving sorting and a two-pointer technique.\n\n... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are properly defined before use
- Function signatures are complete
### STEP 2: ALGORITH... | /tmp/merged | 2026-04-27T14:40:05.505543 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently within the given constraints, we need to avoid generating all \\(N^3\\) possible values explicitly, as this would be computationally infeasible for large \\(N\\). Instead, we can use a more strategic approach leveraging sorting an... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports
- All variables are defined before use
- Function signature is complete
### STEP 2: ALGORITHM CO... | /tmp/merged | 2026-04-27T14:40:05.475933 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently within the given constraints, we need to avoid generating all \\(N^3\\) possible values explicitly, as this would be computationally infeasible for large \\(N\\). Instead, we can use a more strategic approach leveraging sorting an... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition and main block
- All variables are properly defined before use
- Imports are present
### ST... | /tmp/merged | 2026-04-27T14:40:05.496542 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to avoid generating all \\(N^3\\) values explicitly due to the large constraints (\\(N \\leq 2 \\times 10^5\\)). Instead, we can use a more strategic approach leveraging sorting and binary search.\n\n### Approach:\n\n1. *... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are properly defined before use
- Function signature is complete
### STEP 2: ALGORITHM ... | /tmp/merged | 2026-04-27T14:40:05.479982 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to avoid generating all \\(N^3\\) values directly due to the constraints. Instead, we can leverage a more sophisticated approach using a min-heap to keep track of the top \\(K\\) values.\n\nHere's the step-by-step plan:\n... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is incomplete - it has no implementation body
- Variables are undefined (no function definition)
- No im... | /tmp/merged | 2026-04-27T14:40:05.507794 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to avoid generating all \\(N^3\\) values explicitly due to the large constraints (\\(N \\leq 2 \\times 10^5\\)). Instead, we can use a more strategic approach involving sorting and a priority queue (max-heap) to find the ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are properly defined before usage
- Function signa... | /tmp/merged | 2026-04-27T14:40:05.484073 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to avoid generating all \\(N^3\\) values explicitly due to the large constraints (\\(N \\leq 2 \\times 10^5\\)). Instead, we can use a more strategic approach leveraging sorting and binary search.\n\n### Approach:\n\n1. *... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_f | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 5\\n1 2\\n3 4\\n5 6\", \"output\": \"31\", \"testtype\": \"stdin\"}, {\"input\": \"3 10\\n100 100 100\\n100 100 100\\n100 100 100\", \"output\": \"30000\", \"testtype\": \"stdin\"}, {\"in... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: K\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given three integer sequences of length N, namely A=(A_1,A_2,\\ldots,A_N), B=(B_1,B_2,\\ldots,B_N), ... | <think>
</think>
I'll analyze both solutions step by step using the evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports and function definitions
- All variables are properly defined before use
- Function signatures are c... | /tmp/merged | 2026-04-27T14:40:05.502082 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Problem Analysis:\nGiven the constraints, generating all \\(N^3\\) values directly and sorting them is computationally infeasible due to the potential size of \\(N\\) up to \\(2 \\times 10^5\\). Therefore, we need a more efficient approach.\n... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definitions and main execution block
- All variables are properly defined before use
- Function signatu... | /tmp/merged | 2026-04-27T14:40:05.491913 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to determine the number of strings of length \\( M \\) whose longest common subsequence (LCS) with a given string \\( S \\) of length \\( N \\) is exactly \\( k \\), for each \\( k = 0, 1, \\ldots, N \\).\n\n### Approach\n\n1. **Dyna... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions step by step using the evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are defined before use
- Function signature is complete
### STEP 2: ALGORITHM CORRE... | /tmp/merged | 2026-04-27T14:40:05.529571 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to determine the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of length exactly \\( k \\) with a given string \\( S \\) of length \\( N \\). Here's the step-by-step approach:\n\n### Analysis\n\n1... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are properly defined before use
- Function signature is complete
### STEP 2: ALGORITHM ... | /tmp/merged | 2026-04-27T14:40:05.495232 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to compute the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of length exactly \\( k \\) with the given string \\( S \\) of length \\( N \\). Given the constraints \\( 1 \\leq N \\leq ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports and function definitions
- All variables are properly defined before use
- Function signatu... | /tmp/merged | 2026-04-27T14:40:05.521483 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to calculate the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of exactly \\( k \\) with the given string \\( S \\) of length \\( N \\). The key steps involve dynamic programming to ha... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definitions and imports
- All variables are properly defined before use
- Function signatu... | /tmp/merged | 2026-04-27T14:40:05.547799 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to determine the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of length exactly \\( k \\) with a given string \\( S \\) of length \\( N \\). Here's the step-by-step approach:\n\n### Analysis\n\n1... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition and input handling
- All variables are properly defined before use
- Function signature incl... | /tmp/merged | 2026-04-27T14:40:05.504409 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to calculate the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of exactly \\( k \\) with the given string \\( S \\) of length \\( N \\). The key steps involve dynamic programming to ha... | [
false,
false
] | 1 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are defined before use
- Function signature is complete
### STEP 2: ALGORITHM CORRECTNE... | /tmp/merged | 2026-04-27T14:40:05.526417 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to calculate the number of strings of length \\( M \\) that have a longest common subsequence (LCS) of exactly \\( k \\) with the given string \\( S \\) of length \\( N \\). Given the constraints \\( 1 \\leq N \\leq 10 \\... | [
false,
false
] | 2 | [] | false | 2 | false |
abc391_g | 0 | {
"contest_date": "2025-02-01T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"2 2\\nab\", \"output\": \"576 99 1\", \"testtype\": \"stdin\"}, {\"input\": \"3 4\\naaa\", \"output\": \"390625 62500 3750 101\", \"testtype\": \"stdin\"}, {\"input\": \"7 50\\natcoder\", \... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Many LCS\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nYou are given a lowercase English string S of length N and an integer M. For each k=0,1,\\ldots,N, so... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are defined before use
- Function signatures are complete
### STEP 2: ALGORITHM CORRECT... | /tmp/merged | 2026-04-27T14:40:05.535538 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "To solve this problem, we need to determine the number of strings of length \\( M \\) whose longest common subsequence (LCS) with a given string \\( S \\) of length \\( N \\) is exactly \\( k \\), for each \\( k = 0, 1, \\ldots, N \\).\n\n### Approach\n\n1. **Dyna... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and return statement
- All variables are properly defined before use
- Imports are pr... | /tmp/merged | 2026-04-27T14:40:05.517530 | 5.955647 | 0 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We are given a sequence of three integers \\( A = (A_1, A_2, A_3) \\).\n- We need to determine if there exists a permutation \\( B = (B_1, B_2, B_3) \\) of \\( A \\) such that \\( B_1 \\times B_2 = B_3 \\).\n\n**Core Algori... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure and imports
- All variables are properly defined before use
- Function sig... | /tmp/merged | 2026-04-27T14:40:05.511279 | 5.955647 | 1 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to determine if there exists a permutation of the given sequence \\( A = (A_1, A_2, A_3) \\) such that \\( B_1 \\times B_2 = B_3 \\).\n- Given the small constraint \\( 1 \\leq A_i \\leq 100 \\), we can afford to che... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper variable definitions
- All variables are defined before use
- Import is present (`sys` module... | /tmp/merged | 2026-04-27T14:40:05.565785 | 5.955647 | 2 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n- **Core Algorithm:** We need to check if there exists a permutation of the three numbers such that the product of the first two numbers equals the third number.\n- **Time/Space Complexity:** Given the small input... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure and main execution block
- All variables are properly defined before use
-... | /tmp/merged | 2026-04-27T14:40:05.519285 | 5.955647 | 3 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n\n- **Core Algorithm:** We need to check if there exists a permutation of the given three integers such that the product of the first two equals the third.\n- **Time/Space Complexity:** Given the small constraint ... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are correctly in... | /tmp/merged | 2026-04-27T14:40:05.532568 | 5.955647 | 4 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- We need to determine if there exists a permutation of the given three integers such that the product of the first two equals the third.\n- Given the constraints (1 ≤ A_i ≤ 100), a brute-force approach is feasible since ... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports
- All variables are properly defined before use
- Function signature is complete
### STEP 2: ALG... | /tmp/merged | 2026-04-27T14:40:05.546629 | 5.955647 | 5 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n\n- **Core Algorithm:** We need to check if there exists a permutation of the given three integers such that the product of the first two equals the third.\n- **Time/Space Complexity:** Given the small constraint ... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are properly defined before use
- No missing imports needed
- F... | /tmp/merged | 2026-04-27T14:40:05.524482 | 5.955647 | 6 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n- **Core Algorithm:** We need to check if there exists a permutation of the three numbers such that the product of the first two numbers equals the third number.\n- **Time/Space Complexity:** Given the small input... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc392_a | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3 15 5\", \"output\": \"Yes\", \"testtype\": \"stdin\"}, {\"input\": \"5 3 2\", \"output\": \"No\", \"testtype\": \"stdin\"}]",
"question_content": "You are given a sequence of integers A... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Shuffled Equation\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of integers A = (A_1, A_2, A_3).\r\nLet B = (B_1, B_2, B_3) be any ... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are correctly in... | /tmp/merged | 2026-04-27T14:40:05.539024 | 5.955647 | 7 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n\n- **Core Algorithm:** We need to check if there exists a permutation of the given three integers such that the product of the first two equals the third.\n- **Time/Space Complexity:** Given the small constraint ... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- Function signature includes proper p... | /tmp/merged | 2026-04-27T14:40:05.528759 | 5.955647 | 0 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to identify all integers between 1 and N that are not present in the given list A. This can be efficiently done using a set for quick lookups.\n- **Time Complexity**: Given the constraints (1... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are present (`sy... | /tmp/merged | 2026-04-27T14:40:05.545625 | 5.955647 | 1 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to find all integers between 1 and N that are not present in the given list A.\n- **Time/Space Complexity**: Given the constraints \\(1 \\leq M \\leq N \\leq 1000\\), we can afford a solution... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - there's no actual Python code implementation
- No variable definitions or function signatures
- Missing the core implementation logic
### ... | /tmp/merged | 2026-04-27T14:40:05.531115 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to identify all integers between 1 and N that are not present in the given list A. This can be efficiently done using a set for quick lookups.\n- **Time Complexity**: Since N and M ... | [
false,
true
] | 2 | [
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax error: There's no actual Python code shown - just pseudocode comments about what the solution does
- Not complete: No implementation details or actual c... | /tmp/merged | 2026-04-27T14:40:05.555947 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to identify all integers between 1 and N that are not present in the given list A. This can be efficiently done using a set for quick lookups.\n- **Time Complexity**: Since N and M ... | [
false,
true
] | 2 | [
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper variable definitions
- All variables are defined before use
- No missing imports needed
- Fun... | /tmp/merged | 2026-04-27T14:40:05.534153 | 5.955647 | 4 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n- **Core Algorithm:** We need to find all integers between 1 and N that are not present in the given list A.\n- **Time Complexity:** Given the constraints \\(1 \\leq M \\leq N \\leq 1000\\), a linear scan through ... | [
true,
false
] | 1 | [
1
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are present (sys module)
However, ... | /tmp/merged | 2026-04-27T14:40:05.579270 | 5.955647 | 5 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to find all integers between 1 and N that are not present in the given list A.\n- **Time/Space Complexity**: Given the constraints \\(1 \\leq M \\leq N \\leq 1000\\), we can afford a solution... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables are defined before use
- No missing imports or incomplete function s... | /tmp/merged | 2026-04-27T14:40:05.536847 | 5.955647 | 6 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analysis:\n1. **Core Algorithm**: We need to identify which numbers from 1 to N are missing from the given sequence A. This can be efficiently done using a set for quick lookups.\n2. **Time Complexity**: Since we are dealing with up to 1000 el... | [
true,
false
] | 1 | [
1
] | true | 2 | false |
abc392_b | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"10 3\\n3 9 2\", \"output\": \"7\\n1 4 5 6 7 8 10\", \"testtype\": \"stdin\"}, {\"input\": \"6 6\\n1 3 5 2 4 6\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"9 1\\n9\", \"outp... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Who is Missing?\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nYou are given a sequence of M integers A = (A_1, A_2, \\dots, A_M).\nEach element of A is an i... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - there's no actual Python code implementation shown
- No variable definitions or function signatures
- No imports or input/output handling
... | /tmp/merged | 2026-04-27T14:40:05.560830 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to identify all integers between 1 and N that are not present in the given list A. This can be efficiently done using a set for quick lookups.\n- **Time Complexity**: Since N and M ... | [
false,
true
] | 2 | [
2
] | true | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- No missing imports or u... | /tmp/merged | 2026-04-27T14:40:05.623417 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to determine the bib number of the person that each person is staring at.\n- Given `N` people, each person `i` wears a bib with number `Q_i` and stares at person `P_i`.\n- We need to find `S_i`, which is the bib nu... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is incomplete - it's just a description of the approach without actual implementation
- No variable definitions or function signatures
-... | /tmp/merged | 2026-04-27T14:40:05.569918 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to determine which person each individual is staring at and what number is on the bib of that person. Given the constraints, a straightforward approach would involve using arrays or dictionaries to map the relationships b... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
**STEP 1: SYNTAX & COMPLETENESS VERIFICATION**
- Syntax error detected: "import sys" is repeated three times consecutively
- Code is incomplete - it doesn't define any main function or entry point
- Missing n... | /tmp/merged | 2026-04-27T14:40:05.588267 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to determine the bib number of the person that each person is staring at.\n- Given `N` people, each person `i` wears a bib with number `Q_i` and stares at person `P_i`.\n- We need to find `S_i`, which is the bib nu... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports and function structure
- All variables are properly defined before use
- No missing parameters or incomp... | /tmp/merged | 2026-04-27T14:40:05.550345 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Analysis of the Problem:\nThe problem requires us to determine the number on the bib of the person that each person is staring at. Given the constraints, we need an efficient solution that runs in linear time, O(N), to handle the maximum input size of \\(3 \\t... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - there's no actual Python code implementation shown
- The description lacks proper variable definitions and implementation deta... | /tmp/merged | 2026-04-27T14:40:05.622731 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to map the relationships between the people based on the given input. Here's a step-by-step breakdown of the approach:\n\n### Step 1: Analyze the Problem\n- **Core Algorithm**: We need to determine the number on the bib o... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use... | /tmp/merged | 2026-04-27T14:40:05.633642 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\nWe need to determine the number on the bib of the person that each individual is staring at. Given the constraints, we must ensure our solution is efficient in terms of both time and space.\n\n**Core Algorithm:**\n1. **Mappi... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are present (`sys` module)
### STE... | /tmp/merged | 2026-04-27T14:40:05.595779 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to map each person to the bib number they are wearing and then determine the bib number of the person each person is staring at. Given the constraints, the solution should be linear in time complexity, O(N), to handle the... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_c | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n4 3 2 1\\n2 3 1 4\", \"output\": \"3 4 1 2\", \"testtype\": \"stdin\"}, {\"input\": \"10\\n2 6 4 3 7 8 9 10 1 5\\n1 4 8 2 10 5 7 3 9 6\", \"output\": \"4 8 6 5 3 10 9 2 1 7\", \"testt... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Bib\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N people numbered from 1 to N.\nPerson i is wearing a bib with the number Q_i and is staring a... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid due to missing indentation and structure
- Code is incomplete - it's just pseudocode without actual implementation
- No function... | /tmp/merged | 2026-04-27T14:40:05.586231 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to map the relationships between the people based on the given input. Here's a step-by-step breakdown of the approach:\n\n### Step 1: Analyze the Problem\n- **Core Algorithm**: We need to determine the number on the bib o... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are properly defined
- Function signature is complete
### STEP 2: ALGORITHM CORRECTNESS... | /tmp/merged | 2026-04-27T14:40:05.571810 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Core Algorithm:\n1. **Identify Common Faces**: For each pair of dice, determine the common faces between them.\n2. **Calculate Probability**: For each pair of dice with common faces, calculate the probability that both dice show the same numb... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper variable definitions
- All variables are properly initialized before use
- No missing imports or incomplete func... | /tmp/merged | 2026-04-27T14:40:05.573281 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "### Analysis\n\nTo solve this problem, we need to find the maximum probability that two chosen dice show the same number when rolled. The probability of two dice showing the same number is determined by the overlap of their faces and the number of faces on each di... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions step by step using the evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports and function structure
- All variables are properly defined before use
- Function signature i... | /tmp/merged | 2026-04-27T14:40:05.578670 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "### Analysis\n\n**Problem Understanding:**\nWe need to determine the maximum probability that two chosen dice from a set of `N` dice will show the same number when rolled. Each die has a different number of faces with distinct numbers on them. The probability of r... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - there's no actual implementation shown
- This appears to be a placeholder or incomplete code snippet
- No function definitions... | /tmp/merged | 2026-04-27T14:40:05.598343 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to find the maximum probability that two chosen dice show the same number. This involves comparing each pair of dice and calculating the probability of them showing the same number.... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
**STEP 1: SYNTAX & COMPLETENESS VERIFICATION**
- Syntax is valid - no syntax errors detected
- Code is complete with proper function structure
- All variables are properly defined before use
- Import `sys` an... | /tmp/merged | 2026-04-27T14:40:05.582312 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to find the maximum probability that two chosen dice show the same number. This involves comparing each pair of dice and calculating the probability of them showing the same number.... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors detected
- Code is complete with proper imports (`Counter`)
- All variables are properly defined before use
- Function signa... | /tmp/merged | 2026-04-27T14:40:05.608148 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "### Analysis\n\nTo solve this problem, we need to find the maximum probability that two chosen dice show the same number when rolled. The probability of two dice showing the same number is determined by the overlap of their faces and the number of faces on each di... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions step by step using the evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are defined before use
- Imports are present (`sys`, `Counter`)
- ... | /tmp/merged | 2026-04-27T14:40:05.609827 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Core Algorithm:\n1. **Identify Common Faces**: For each pair of dice, determine the common faces between them.\n2. **Calculate Probability**: For each pair of dice with common faces, calculate the probability that both dice show the same numb... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_d | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "medium",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"3\\n3 1 2 3\\n4 1 2 2 1\\n6 1 2 3 4 5 6\", \"output\": \"0.333333333333333\", \"testtype\": \"stdin\"}, {\"input\": \"3\\n5 1 1 1 1 1\\n4 2 2 2 2\\n3 1 1 2\", \"output\": \"0.666666666666... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Doubles\nPlatform: atcoder\nDifficulty: medium\n\nProblem Statement:\nThere are N dice.\r\nThe i-th die has K_i faces, with the numbers A_{i,1}, A_{i,2}, \\ldots, A_{i,K_... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables are properly initialized before use
- No missing imports needed
- Fu... | /tmp/merged | 2026-04-27T14:40:05.591074 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Core Algorithm:**\nTo solve this problem, we need to find the maximum probability that two chosen dice show the same number when rolled. This involves comparing each pair of dice and calculating the probability of matching faces. The probability... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- Imports are present (`deque` from `c... | /tmp/merged | 2026-04-27T14:40:05.613491 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations required. The key challenge is to insert each number \\(i\\) at position \\(P_i\\) in the array \\(A\\) while maintaining the order of previously inserted eleme... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper variable definitions
- All variables used are properly defined before use
- Function signature incl... | /tmp/merged | 2026-04-27T14:40:05.597679 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations required. The main challenge is to insert elements into a growing list at specific positions while maintaining efficiency.\n\n### Analysis\n\n**Core Algorithm:*... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - missing indentation for the code block
- Code is incomplete - it just has a comment but no actual implementation
- No function definition o... | /tmp/merged | 2026-04-27T14:40:05.626828 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to carefully consider the operations and the constraints. The key challenge is to insert elements into the array at specific positions while maintaining efficiency, especially given the upper constraint of \\( N = 5 \\tim... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined
- Imports are present (`deque` and `sys`)
- Funct... | /tmp/merged | 2026-04-27T14:40:05.604197 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations. Given that \\( N \\) can be as large as \\( 5 \\times 10^5 \\), we need an algorithm that runs in linear time, \\( O(N) \\), to ensure it completes within the ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports (`deque` from `collections`)
- All variables are properly defined before use
- Function signature is com... | /tmp/merged | 2026-04-27T14:40:05.616544 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations required. The key challenge is to insert each number \\(i\\) at position \\(P_i\\) in the array \\(A\\) while maintaining the order of previously inserted eleme... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper imports (`deque` from `collections`)
- All variables are properly defined before use
- Function signature... | /tmp/merged | 2026-04-27T14:40:05.668589 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations required. The key challenge is to insert each number \\(i\\) at position \\(P_i\\) in the array \\(A\\) while maintaining the order of previously inserted eleme... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions step by step using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are properly defined before usage
- Function signa... | /tmp/merged | 2026-04-27T14:40:05.612009 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations required. The main challenge is to insert elements into a growing list at specific positions while maintaining efficiency.\n\n### Analysis\n\n**Core Algorithm:*... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_f | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"4\\n1 1 2 1\", \"output\": \"4 2 3 1\", \"testtype\": \"stdin\"}, {\"input\": \"5\\n1 2 3 4 5\", \"output\": \"1 2 3 4 5\", \"testtype\": \"stdin\"}]",
"question_content": "There is an em... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Insert\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nThere is an empty array A. For i = 1,2,\\ldots,N, perform the following operation in order:\n\n- Insert... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.642592 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to consider the constraints and the nature of the operations involved. Given that \\( N \\) can be as large as \\( 5 \\times 10^5 \\), we need an algorithm that runs in linear time, \\( O(N) \\), to ensure it completes wi... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function structure
- All variables are properly defined
- Function signature includes all nec... | /tmp/merged | 2026-04-27T14:40:05.635640 | 5.955647 | 0 | [
{
"actual_passed": false,
"full_response": "### Analysis of the Problem\n\nTo solve this problem efficiently, we need to identify all fine triplets \\((A, B, C)\\) in the given set \\(S\\) such that \\(B - A = C - B\\). This condition implies that \\(2B = A + C\\), meaning \\(B\\) is the arithmetic mean of ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- No missing imports or incomplete fun... | /tmp/merged | 2026-04-27T14:40:05.618221 | 5.955647 | 1 | [
{
"actual_passed": false,
"full_response": "To solve this problem efficiently, we need to identify all fine triplets (A, B, C) such that B - A = C - B, which implies that B is the midpoint of A and C. Given the constraints, a brute-force approach would be too slow, so we need a more efficient method.\n\n###... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.660948 | 5.955647 | 2 | [
{
"actual_passed": false,
"full_response": "To solve the problem of finding the number of fine triplets (A, B, C) in a set of distinct integers, we need to identify triplets where B - A = C - B, meaning B is the arithmetic mean of A and C.\n\n### Analysis:\n1. **Core Algorithm**:\n - For each pair (A, C),... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors detected
- Code is complete with proper function structure
- All variables are properly defined
- No missing imports needed
... | /tmp/merged | 2026-04-27T14:40:05.658799 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to find all triplets (A, B, C) such that A < B < C and B - A = C - B. This means that B is the midpoint between A and C, i.e., B = (A + C) / 2. Therefore, (A + C) must be even for B to be an... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid - no syntax errors
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
... | /tmp/merged | 2026-04-27T14:40:05.638914 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "To solve the problem of finding the number of fine triplets in a set of distinct positive integers, we need to efficiently identify triplets (A, B, C) such that B - A = C - B, which implies 2B = A + C. This means that for each pair (A, C), there should exist a B s... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is invalid - there's no code content shown
- This is incomplete - it just has a placeholder comment
### STEP 2: ALGORITHM CORRECTNESS ANALYSIS
- Cannot... | /tmp/merged | 2026-04-27T14:40:05.629272 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Problem Analysis:**\n- We need to find all fine triplets (A, B, C) such that A < B < C and B - A = C - B, which implies 2B = A + C.\n- This means for any pair (A, C), if their average (A + C) / 2 is an integer and exists in the set S, then (A, (... | [
false,
false
] | 2 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition
- All variables are properly defined before use
- No missing imports or undefined variables
... | /tmp/merged | 2026-04-27T14:40:05.673660 | 5.955647 | 6 | [
{
"actual_passed": false,
"full_response": "To solve the problem of finding the number of fine triplets in a set of distinct positive integers, we need to efficiently identify triplets (A, B, C) such that B - A = C - B, which implies 2B = A + C. This means that for each pair (A, C), there should exist a B s... | [
false,
false
] | 1 | [] | false | 2 | false |
abc392_g | 0 | {
"contest_date": "2025-02-08T00:00:00",
"difficulty": "hard",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"5\\n8 3 1 5 2\", \"output\": \"3\", \"testtype\": \"stdin\"}, {\"input\": \"7\\n300000 100000 499998 499999 200000 400000 500000\", \"output\": \"5\", \"testtype\": \"stdin\"}, {\"input\": ... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Fine Triplets\nPlatform: atcoder\nDifficulty: hard\n\nProblem Statement:\nFor integers A, B, C ( A < B < C ), if they satisfy B-A = C-B, then (A, B, C) is called a fine t... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function structure
- All variables are properly defined before use
- No missing imports needed
### STEP ... | /tmp/merged | 2026-04-27T14:40:05.646637 | 5.955647 | 7 | [
{
"actual_passed": false,
"full_response": "### Analysis of the Problem\n\nTo solve this problem efficiently, we need to identify all fine triplets \\((A, B, C)\\) in the given set \\(S\\) such that \\(B - A = C - B\\). This condition implies that \\(2B = A + C\\), meaning \\(B\\) is the arithmetic mean of ... | [
false,
false
] | 2 | [] | false | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables are defined before use
- No missing imports needed
### STEP 2: ALGO... | /tmp/merged | 2026-04-27T14:40:05.671639 | 5.955647 | 0 | [
{
"actual_passed": true,
"full_response": "To solve this problem, we need to determine which type of oyster causes stomach trouble based on the health status of Takahashi and Aoki after eating specific combinations of oysters. Let's break down the problem and devise a solution.\n\n### Analysis of the Proble... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.640913 | 5.955647 | 1 | [
{
"actual_passed": true,
"full_response": "To solve this problem, we need to determine which type of oyster causes stomach trouble based on the information about who got sick after eating which oysters. Let's break down the problem step-by-step:\n\n### Analysis:\n1. **Understanding the Inputs:**\n - We ha... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper function definition and input handling
- All variables are properly defined before use
- Import is present for r... | /tmp/merged | 2026-04-27T14:40:05.664546 | 5.955647 | 2 | [
{
"actual_passed": true,
"full_response": "To solve this problem, we need to determine which type of oyster causes stomach trouble based on the information about who got sick after eating which oysters. Let's break down the problem step-by-step:\n\n### Analysis:\n1. **Understanding the Inputs:**\n - We ha... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and input handling
- All variables are properly defined before use
- Function signatu... | /tmp/merged | 2026-04-27T14:40:05.652003 | 5.955647 | 3 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Step 1 - Analyze the Problem:\n- **Core Algorithm**: We need to deduce which type of oyster causes stomach trouble based on the health status of Takahashi and Aoki.\n- **Time/Space Complexity**: Given the small input size (only four types of ... | [
false,
false
] | 1 | [] | false | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper variable definitions
- All variables used are properly defined
- No missing imports needed
### STEP 2: ALGORITH... | /tmp/merged | 2026-04-27T14:40:05.692794 | 5.955647 | 4 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n\n- **Core Algorithm:** We need to determine which type of oyster causes stomach trouble based on who got sick after eating which oysters.\n- **Input Constraints:** \n - Each of `S_1` and `S_2` can only be \"sic... | [
false,
true
] | 1 | [
2
] | false | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper input reading and output printing
- All variables are properly defined before use
- No missing imports ne... | /tmp/merged | 2026-04-27T14:40:05.655421 | 5.955647 | 5 | [
{
"actual_passed": false,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to determine which type of oyster (1, 2, 3, or 4) causes stomach trouble based on the health status of Takahashi and Aoki after eating specific combinations of oysters.\n- **Time/Space Compl... | [
false,
false
] | 1 | [] | false | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper input reading and output printing
- All variables are properly defined before use
- No missing imports ne... | /tmp/merged | 2026-04-27T14:40:05.699591 | 5.955647 | 6 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\nTo solve this problem, we need to determine which type of oyster (1, 2, 3, or 4) causes stomach trouble based on the health status of Takahashi and Aoki after eating specific combinations of oysters.\n\n#### Core Algorithm:\n1. **Identify the Oyste... | [
true,
false
] | 1 | [
1
] | true | 2 | false |
abc393_a | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"sick fine\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"fine fine\", \"output\": \"4\", \"testtype\": \"stdin\"}]",
"question_content": "There are four types of oysters, l... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: Poisonous Oyster\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nThere are four types of oysters, labeled 1, 2, 3, and 4. Exactly one of these types causes st... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper variable definitions
- All variables used are defined before use
- No missing imports needed
- Function s... | /tmp/merged | 2026-04-27T14:40:05.667656 | 5.955647 | 7 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n#### Analyze the Problem:\n- **Core Algorithm**: We need to deduce which type of oyster causes stomach trouble based on the health status of Takahashi and Aoki after eating specific oysters.\n- **Time/Space Complexity**: Given the small input size ... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc393_b | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"AABCC\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"ARC\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"AABAAABBAEDCCCD\", \"output\": \"4\", \"testtype\": \"s... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: A..B..C\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nA string S is given.\nFind how many places in S have A, B, and C in this order at even intervals.\nSpe... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definition and main execution block
- All variables are properly defined before use
- Imports ar... | /tmp/merged | 2026-04-27T14:40:05.701845 | 5.955647 | 0 | [
{
"actual_passed": true,
"full_response": "To solve the problem, we need to identify all valid triples (i, j, k) in the string S such that:\n- \\(1 \\leq i < j < k \\leq |S|\\)\n- \\(j - i = k - j\\) (which implies \\(k = 2j - i\\))\n- \\(S_i = 'A'\\), \\(S_j = 'B'\\), \\(S_k = 'C'\\)\n\nGiven the constrain... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
abc393_b | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"AABCC\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"ARC\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"AABAAABBAEDCCCD\", \"output\": \"4\", \"testtype\": \"s... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: A..B..C\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nA string S is given.\nFind how many places in S have A, B, and C in this order at even intervals.\nSpe... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid Python
- Code is complete with proper function definitions and main execution block
- All variables are properly defined before use
- Function ... | /tmp/merged | 2026-04-27T14:40:05.688932 | 5.955647 | 1 | [
{
"actual_passed": true,
"full_response": "### Analysis of the Problem:\nThe problem requires us to find the number of valid triples (i, j, k) in a given string `S` such that:\n- `1 ≤ i < j < k ≤ |S|`\n- `j - i = k - j` (which implies `k = 2*j - i`)\n- `S[i] = 'A'`, `S[j] = 'B'`, and `S[k] = 'C'`\n\nGiven t... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc393_b | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"AABCC\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"ARC\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"AABAAABBAEDCCCD\", \"output\": \"4\", \"testtype\": \"s... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: A..B..C\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nA string S is given.\nFind how many places in S have A, B, and C in this order at even intervals.\nSpe... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are defined before use
- Function signature includes all necessary parameters
- Return s... | /tmp/merged | 2026-04-27T14:40:05.705628 | 5.955647 | 2 | [
{
"actual_passed": true,
"full_response": "To solve the problem, we need to identify all valid triples (i, j, k) in the string S such that:\n- \\(1 \\leq i < j < k \\leq |S|\\)\n- \\(j - i = k - j\\) (which implies \\(k = 2j - i\\))\n- \\(S_i = 'A'\\), \\(S_j = 'B'\\), \\(S_k = 'C'\\)\n\nGiven the constrain... | [
true,
true
] | 2 | [
1,
2
] | true | 2 | false |
abc393_b | 0 | {
"contest_date": "2025-02-15T00:00:00",
"difficulty": "easy",
"platform": "atcoder",
"public_test_cases": "[{\"input\": \"AABCC\", \"output\": \"2\", \"testtype\": \"stdin\"}, {\"input\": \"ARC\", \"output\": \"0\", \"testtype\": \"stdin\"}, {\"input\": \"AABAAABBAEDCCCD\", \"output\": \"4\", \"testtype\": \"s... | [
{
"content": "You are an expert code evaluation system.",
"role": "system"
},
{
"content": "=== PROGRAMMING PROBLEM ===\n\nTitle: A..B..C\nPlatform: atcoder\nDifficulty: easy\n\nProblem Statement:\nA string S is given.\nFind how many places in S have A, B, and C in this order at even intervals.\nSpe... | <think>
</think>
I'll analyze both solutions using the provided evaluation protocol.
## Solution 1 Analysis
### STEP 1: SYNTAX & COMPLETENESS VERIFICATION
- Syntax is valid
- Code is complete with proper imports
- All variables are properly defined before use
- Function signature is complete
### STEP 2: ALGORITHM ... | /tmp/merged | 2026-04-27T14:40:05.713716 | 5.955647 | 3 | [
{
"actual_passed": true,
"full_response": "### Approach:\n\n**Step 1 - Analyze the Problem:**\n- We need to find triples (i, j, k) such that `S[i] = 'A'`, `S[j] = 'B'`, `S[k] = 'C'`, and `j - i = k - j` (which implies `2*j = i + k` or `k = 2*j - i`).\n- The constraints are small enough (length of `S` is bet... | [
true,
true
] | 1 | [
1,
2
] | true | 2 | false |
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