options listlengths 2 4 | solution stringlengths 72 49.7k | data_source stringclasses 1 value | prompt listlengths 2 2 | images images listlengths 1 1 | ability stringclasses 1 value | reward_model dict | tokens int64 483 13.1k | avg_reward float64 0 1 |
|---|---|---|---|---|---|---|---|---|
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 8, 'removed_positions': [[0, 7], [3, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 28, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,409 | 1 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 6, 'removed_positions': [[2, 4], [5, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 7, 'removed_positions': [[4, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 18, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 16} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,869 | 0.375 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 9, 'removed_positions': [[2, 3], [4, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 26, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,689 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 9, 'removed_positions': [[1, 1], [1, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 1,909 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 7, 'removed_positions': [[8, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 32, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 30} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,049 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 7, 'removed_positions': [[1, 1], [4, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[6, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.25 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 6, 'removed_positions': [[0, 2], [2, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,289 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 7, 'removed_positions': [[5, 4], [7, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 28, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,409 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 8, 'removed_positions': [[5, 0], [5, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,989 | 1 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 9, 'removed_positions': [[0, 1], [5, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 26, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,689 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 8, 'removed_positions': [[2, 1], [3, 7]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 31, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 31} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 9, 'removed_positions': [[0, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 41, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 39} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 1 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 9, 'removed_positions': [[6, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 31, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 31} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,049 | 0.5 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 5, 'removed_positions': [[1, 1], [1, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 9, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 9} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,167 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[6, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 25, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 23} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 5, 'removed_positions': [[1, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 13, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 11} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 5, 'removed_positions': [[2, 3], [2, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 9, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 9} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,167 | 0 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 6, 'removed_positions': [[3, 1], [4, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 7, 'removed_positions': [[3, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 18, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 16} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,869 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[0, 5], [3, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 23} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,929 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 6, 'removed_positions': [[3, 5], [4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 13, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 15} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,289 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[0, 3], [3, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,929 | 0.625 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 8, 'removed_positions': [[1, 0], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 23} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,989 | 0.25 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 9, 'removed_positions': [[0, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,269 | 0.5 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 6, 'removed_positions': [[0, 4], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 16, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 18} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 1 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[1, 2], [2, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,929 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 6, 'removed_positions': [[4, 4], [5, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 5, 'removed_positions': [[4, 1], [6, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 20, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 18} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,509 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 9, 'removed_positions': [[3, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,269 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 8, 'removed_positions': [[0, 5], [4, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,509 | 0.25 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 5, 'removed_positions': [[0, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,809 | 0.25 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 8, 'removed_positions': [[1, 2], [2, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,989 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 5, 'removed_positions': [[1, 2], [3, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 10, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 8} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,167 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[0, 4], [6, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 22, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,929 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 6, 'removed_positions': [[0, 4], [1, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 16, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 18} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 1 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 9, 'removed_positions': [[1, 2], [2, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 1,909 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 9, 'removed_positions': [[0, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 40, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 40} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[5, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 6, 'removed_positions': [[1, 0], [2, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,289 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[4, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.5 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 9, 'removed_positions': [[2, 8], [3, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 1,909 | 0 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 5, 'removed_positions': [[0, 0], [1, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 8, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 10} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,167 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 8, 'removed_positions': [[0, 7], [1, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 23} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,989 | 0 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 9, 'columns': 6, 'removed_positions': [[2, 1], [5, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 25} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,689 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 4, 'columns': 6, 'removed_positions': [[2, 0], [2, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 11, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 11} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,689 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 9, 'removed_positions': [[4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 31, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 31} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,049 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 6, 'removed_positions': [[0, 4], [2, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 20, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 20} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,349 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[4, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 25, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 23} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,829 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 5, 'removed_positions': [[3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,809 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 5, 'removed_positions': [[1, 1], [2, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 9, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 9} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,167 | 0 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 7, 'removed_positions': [[6, 3], [7, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 27} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,409 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 7, 'removed_positions': [[1, 2], [5, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 21, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.625 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 7, 'removed_positions': [[0, 0], [1, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 6, 'removed_positions': [[0, 5], [3, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 21, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 6, 'removed_positions': [[0, 1], [0, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 21, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 5, 'removed_positions': [[1, 3], [5, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,229 | 0.25 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 6, 'columns': 6, 'removed_positions': [[3, 2], [4, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.25 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 7, 'removed_positions': [[2, 1], [3, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 12} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,329 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 7, 'removed_positions': [[4, 0], [4, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,349 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 9, 'columns': 6, 'removed_positions': [[1, 1], [6, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 26, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,689 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 9, 'removed_positions': [[5, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 40, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 40} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.375 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 5, 'removed_positions': [[2, 2], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 13, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 15} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,229 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 7, 'removed_positions': [[4, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 32, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 30} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,049 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 9, 'removed_positions': [[8, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 40, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 40} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.625 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 5, 'removed_positions': [[5, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,269 | 0.5 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 4, 'columns': 6, 'removed_positions': [[0, 3], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 11, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 11} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,689 | 0.25 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 7, 'removed_positions': [[5, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 32, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 30} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,049 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 9, 'removed_positions': [[8, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 40, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 40} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.5 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 5, 'removed_positions': [[6, 1], [6, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 20, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 18} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,509 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 9, 'removed_positions': [[1, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 22, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,269 | 0.375 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[1, 1], [4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 22, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,929 | 0.875 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 9, 'removed_positions': [[1, 0], [7, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 35, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 35} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,469 | 0 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 7, 'removed_positions': [[8, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 31, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 31} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,049 | 0.25 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 8, 'columns': 6, 'removed_positions': [[0, 2], [2, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 22, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,929 | 1 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 9, 'removed_positions': [[1, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 22, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 22} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,269 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 7, 'removed_positions': [[2, 5], [3, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 13, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 13} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,329 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 9, 'columns': 6, 'removed_positions': [[0, 3], [6, 5]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 25} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,689 | 1 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 7, 'removed_positions': [[2, 4], [4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 26, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 28} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,409 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 7, 'removed_positions': [[1, 2], [3, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 28, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 26} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,409 | 0.875 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 6, 'removed_positions': [[2, 3], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,289 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 8, 'removed_positions': [[2, 5], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,509 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 9, 'removed_positions': [[3, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 32, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 30} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,049 | 1 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 7, 'removed_positions': [[2, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,869 | 0.125 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 9, 'removed_positions': [[0, 3], [5, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 25} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,689 | 0.75 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 9, 'columns': 7, 'removed_positions': [[3, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 32, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 30} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 3,049 | 0.375 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 5, 'removed_positions': [[0, 4], [3, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,229 | 0 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 7, 'removed_positions': [[2, 5], [6, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 27} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,409 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 9, 'removed_positions': [[4, 1]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 23, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 21} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,269 | 0.5 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 5, 'columns': 8, 'removed_positions': [[2, 6], [3, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 18, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 20} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,509 | 0.75 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 9, 'removed_positions': [[0, 4], [3, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 1,909 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 8, 'columns': 5, 'removed_positions': [[1, 1], [5, 2]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 19, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 19} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,509 | 0.125 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 5, 'columns': 7, 'removed_positions': [[3, 6]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 18, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 16} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "No",
"style": "rule"
} | 2,869 | 0.5 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 5, 'removed_positions': [[2, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 17, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 17} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,809 | 0.625 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 4, 'columns': 7, 'removed_positions': [[0, 0], [1, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 13, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 13} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 2,329 | 0.25 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 6, 'columns': 5, 'removed_positions': [[1, 2], [4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 14, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 14} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,229 | 0 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 7, 'columns': 8, 'removed_positions': [[5, 0], [5, 3]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 27, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 27} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,409 | 0 | |
[
"Yes",
"No"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]]], 'rows': 7, 'columns': 7, 'removed_positions': [[0, 4]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 24, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 24} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,829 | 0.375 | |
[
"No",
"Yes"
] | {'board': [[[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 1.0, 1.0], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 1.0, 1.0], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]], [[1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235]], [[1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702], [1.0, 0.7647, 0.2235], [1.0, 0.902, 0.702]]], 'rows': 9, 'columns': 8, 'removed_positions': [[1, 0], [4, 0]], 'color1': [1.0, 0.7647, 0.2235], 'squares_of_color1': 35, 'color2': [1.0, 0.902, 0.702], 'squares_of_color2': 35} | algopuzzle | [
{
"content": "You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags th... | math | {
"ground_truth": "Yes",
"style": "rule"
} | 3,409 | 0.125 |
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