prompt listlengths 1 1 | answer large_stringlengths 1 21 | data_source large_stringclasses 1
value | extra_info dict | reward_model dict |
|---|---|---|---|---|
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 6, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 22 | rlve | {
"answer": "22",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10000, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 6, \"R\": 2, \"O\": 1, \"obstacles\": [[0, 6, 2]], \"MOD\": 2879, \"reference_answer\": 22}, \"passing_reward_threshold\": 1.0}}",
"... | {
"ground_truth": "22"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 0, 6). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 5 | rlve | {
"answer": "5",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10001, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 0, \"R\": 6, \"O\": 1, \"obstacles\": [[2, 0, 0]], \"MOD\": 5291, \"reference_answer\": 5}, \"passing_reward_threshold\": 1.0}}",
"qu... | {
"ground_truth": "5"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 1, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10002, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 1, \"R\": 0, \"O\": 5, \"obstacles\": [[3, 0, 0], [0, 1, 0], [2, 0, 0], [1, 0, 0], [2, 1, 0]], \"MOD\": 3280, \"reference_answer\": 0},... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 1, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10003, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 6, \"M\": 1, \"R\": 0, \"O\": 4, \"obstacles\": [[4, 1, 0], [6, 0, 0], [2, 1, 0], [0, 1, 0]], \"MOD\": 2312, \"reference_answer\": 0}, \"passing_... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10003, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 6, \"M\": 1, \"R\": 0, \"O\": 4, \"obstacles\": [[4, 1, 0], [6, 0, 0], [2, 1, 0], [0, 1, 0]], \"MOD\": 2312, \"reference_answer\": 0}, \"passing_... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 3, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 90 | rlve | {
"answer": "90",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10004, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 3, \"R\": 5, \"O\": 3, \"obstacles\": [[4, 2, 5], [0, 3, 5], [4, 0, 5]], \"MOD\": 9354, \"reference_answer\": 90}, \"passing_reward_th... | {
"ground_truth": "90"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 6, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 9 | rlve | {
"answer": "9",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10005, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 6, \"M\": 6, \"R\": 4, \"O\": 15, \"obstacles\": [[0, 6, 0], [0, 2, 0], [6, 0, 0], [2, 4, 4], [4, 6, 4], [2, 0, 4], [0, 4, 4], [0, 0, 4], [0, 4, ... | {
"ground_truth": "9"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 0, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10006, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 0, \"R\": 1, \"O\": 1, \"obstacles\": [[0, 0, 1]], \"MOD\": 4377, \"reference_answer\": 1}, \"passing_reward_threshold\": 1.0}}",
"qu... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 6, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 17 | rlve | {
"answer": "17",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10007, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 6, \"R\": 2, \"O\": 3, \"obstacles\": [[0, 6, 0], [0, 6, 2], [0, 4, 2]], \"MOD\": 8238, \"reference_answer\": 17}, \"passing_reward_th... | {
"ground_truth": "17"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 3, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 20 | rlve | {
"answer": "20",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10008, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 3, \"R\": 3, \"O\": 10, \"obstacles\": [[1, 3, 2], [1, 0, 1], [0, 0, 1], [0, 3, 3], [1, 1, 0], [1, 3, 0], [0, 3, 1], [0, 1, 3], [1, 0,... | {
"ground_truth": "20"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 1, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 4 | rlve | {
"answer": "4",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10009, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 1, \"R\": 2, \"O\": 1, \"obstacles\": [[0, 1, 2]], \"MOD\": 78, \"reference_answer\": 4}, \"passing_reward_threshold\": 1.0}}",
"ques... | {
"ground_truth": "4"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 4 | rlve | {
"answer": "4",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10009, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 1, \"R\": 2, \"O\": 1, \"obstacles\": [[0, 1, 2]], \"MOD\": 78, \"reference_answer\": 4}, \"passing_reward_threshold\": 1.0}}",
"ques... | {
"ground_truth": "4"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 5, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 24 | rlve | {
"answer": "24",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10010, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 5, \"R\": 2, \"O\": 1, \"obstacles\": [[4, 1, 2]], \"MOD\": 897, \"reference_answer\": 24}, \"passing_reward_threshold\": 1.0}}",
"q... | {
"ground_truth": "24"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 4, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10011, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 4, \"R\": 4, \"O\": 3, \"obstacles\": [[1, 4, 0], [0, 4, 4], [1, 0, 4]], \"MOD\": 1687, \"reference_answer\": 0}, \"passing_reward_thre... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10011, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 4, \"R\": 4, \"O\": 3, \"obstacles\": [[1, 4, 0], [0, 4, 4], [1, 0, 4]], \"MOD\": 1687, \"reference_answer\": 0}, \"passing_reward_thre... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 3, 6). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1094 | rlve | {
"answer": "1094",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10012, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 3, \"R\": 6, \"O\": 1, \"obstacles\": [[0, 3, 2]], \"MOD\": 3284, \"reference_answer\": 1094}, \"passing_reward_threshold\": 1.0}}",... | {
"ground_truth": "1094"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 3, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10013, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 3, \"R\": 0, \"O\": 6, \"obstacles\": [[2, 2, 0], [2, 0, 0], [2, 1, 0], [0, 1, 0], [0, 3, 0], [0, 2, 0]], \"MOD\": 6413, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10013, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 3, \"R\": 0, \"O\": 6, \"obstacles\": [[2, 2, 0], [2, 0, 0], [2, 1, 0], [0, 1, 0], [0, 3, 0], [0, 2, 0]], \"MOD\": 6413, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 1, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10014, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 1, \"R\": 4, \"O\": 12, \"obstacles\": [[1, 0, 4], [0, 1, 4], [0, 0, 4], [1, 0, 0], [2, 1, 0], [3, 1, 0], [3, 0, 0], [1, 1, 4], [2, 1, ... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10014, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 1, \"R\": 4, \"O\": 12, \"obstacles\": [[1, 0, 4], [0, 1, 4], [0, 0, 4], [1, 0, 0], [2, 1, 0], [3, 1, 0], [3, 0, 0], [1, 1, 4], [2, 1, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 6, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10015, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 6, \"R\": 1, \"O\": 9, \"obstacles\": [[1, 2, 0], [1, 0, 1], [1, 2, 1], [0, 0, 1], [1, 4, 0], [1, 0, 0], [0, 2, 0], [0, 2, 1], [0, 6, 0... | {
"ground_truth": "2"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 2, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10016, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 2, \"R\": 0, \"O\": 6, \"obstacles\": [[0, 2, 0], [2, 2, 0], [2, 0, 0], [3, 0, 0], [1, 0, 0], [1, 2, 0]], \"MOD\": 6079, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10016, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 2, \"R\": 0, \"O\": 6, \"obstacles\": [[0, 2, 0], [2, 2, 0], [2, 0, 0], [3, 0, 0], [1, 0, 0], [1, 2, 0]], \"MOD\": 6079, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 4, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 3 | rlve | {
"answer": "3",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10017, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 4, \"R\": 3, \"O\": 7, \"obstacles\": [[0, 0, 3], [0, 4, 3], [4, 0, 2], [4, 0, 0], [4, 4, 2], [4, 0, 3], [4, 4, 0]], \"MOD\": 1045, \"r... | {
"ground_truth": "3"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 6, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 13 | rlve | {
"answer": "13",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10018, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 6, \"R\": 1, \"O\": 3, \"obstacles\": [[0, 4, 1], [4, 6, 0], [4, 0, 0]], \"MOD\": 3926, \"reference_answer\": 13}, \"passing_reward_th... | {
"ground_truth": "13"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 3, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10019, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 3, \"R\": 0, \"O\": 9, \"obstacles\": [[0, 1, 0], [2, 1, 0], [3, 0, 0], [0, 3, 0], [1, 0, 0], [1, 2, 0], [3, 1, 0], [2, 2, 0], [1, 1, 0... | {
"ground_truth": "2"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10019, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 3, \"R\": 0, \"O\": 9, \"obstacles\": [[0, 1, 0], [2, 1, 0], [3, 0, 0], [0, 3, 0], [1, 0, 0], [1, 2, 0], [3, 1, 0], [2, 2, 0], [1, 1, 0... | {
"ground_truth": "2"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 0, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10020, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 0, \"R\": 0, \"O\": 2, \"obstacles\": [[1, 0, 0], [4, 0, 0]], \"MOD\": 6492, \"reference_answer\": 1}, \"passing_reward_threshold\": 1.... | {
"ground_truth": "1"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10020, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 0, \"R\": 0, \"O\": 2, \"obstacles\": [[1, 0, 0], [4, 0, 0]], \"MOD\": 6492, \"reference_answer\": 1}, \"passing_reward_threshold\": 1.... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 3, 6). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 95 | rlve | {
"answer": "95",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10021, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 3, \"R\": 6, \"O\": 5, \"obstacles\": [[0, 1, 2], [0, 3, 0], [4, 1, 4], [4, 0, 2], [4, 3, 0]], \"MOD\": 6665, \"reference_answer\": 95... | {
"ground_truth": "95"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 6, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 352 | rlve | {
"answer": "352",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10022, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 6, \"R\": 3, \"O\": 11, \"obstacles\": [[4, 6, 3], [5, 0, 1], [1, 4, 3], [5, 6, 0], [4, 4, 0], [0, 0, 3], [1, 0, 3], [1, 6, 0], [0, 6... | {
"ground_truth": "352"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 6, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10023, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 6, \"R\": 1, \"O\": 18, \"obstacles\": [[0, 6, 1], [0, 0, 1], [0, 6, 0], [4, 0, 1], [5, 2, 1], [4, 6, 1], [1, 0, 1], [1, 6, 0], [5, 2, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 5, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10024, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 5, \"R\": 0, \"O\": 5, \"obstacles\": [[0, 4, 0], [1, 4, 0], [1, 1, 0], [0, 5, 0], [1, 0, 0]], \"MOD\": 5817, \"reference_answer\": 0},... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10024, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 5, \"R\": 0, \"O\": 5, \"obstacles\": [[0, 4, 0], [1, 4, 0], [1, 1, 0], [0, 5, 0], [1, 0, 0]], \"MOD\": 5817, \"reference_answer\": 0},... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 0, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10025, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 0, \"R\": 1, \"O\": 5, \"obstacles\": [[0, 0, 1], [2, 0, 0], [3, 0, 0], [1, 0, 1], [2, 0, 1]], \"MOD\": 757, \"reference_answer\": 0}, ... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10025, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 0, \"R\": 1, \"O\": 5, \"obstacles\": [[0, 0, 1], [2, 0, 0], [3, 0, 0], [1, 0, 1], [2, 0, 1]], \"MOD\": 757, \"reference_answer\": 0}, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 1, 6). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10026, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 1, \"R\": 6, \"O\": 14, \"obstacles\": [[4, 1, 2], [0, 1, 2], [0, 0, 4], [4, 0, 6], [4, 0, 4], [4, 1, 4], [4, 0, 0], [0, 1, 0], [4, 0, ... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10026, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 1, \"R\": 6, \"O\": 14, \"obstacles\": [[4, 1, 2], [0, 1, 2], [0, 0, 4], [4, 0, 6], [4, 0, 4], [4, 1, 4], [4, 0, 0], [0, 1, 0], [4, 0, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 5, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10027, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 5, \"R\": 5, \"O\": 19, \"obstacles\": [[1, 5, 1], [1, 4, 5], [1, 0, 1], [0, 0, 5], [1, 5, 4], [0, 4, 0], [0, 4, 4], [1, 1, 5], [0, 0, ... | {
"ground_truth": "2"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 1, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10028, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 1, \"R\": 1, \"O\": 3, \"obstacles\": [[0, 1, 1], [0, 0, 1], [2, 0, 1]], \"MOD\": 2020, \"reference_answer\": 2}, \"passing_reward_thre... | {
"ground_truth": "2"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 3, 0). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10029, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 3, \"R\": 0, \"O\": 6, \"obstacles\": [[1, 0, 0], [0, 2, 0], [1, 1, 0], [1, 2, 0], [0, 1, 0], [0, 3, 0]], \"MOD\": 196, \"reference_ans... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10029, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 3, \"R\": 0, \"O\": 6, \"obstacles\": [[1, 0, 0], [0, 2, 0], [1, 1, 0], [1, 2, 0], [0, 1, 0], [0, 3, 0]], \"MOD\": 196, \"reference_ans... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 6, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10030, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 6, \"R\": 2, \"O\": 13, \"obstacles\": [[0, 6, 0], [4, 0, 2], [4, 4, 2], [4, 2, 0], [0, 4, 2], [0, 2, 2], [4, 2, 2], [0, 6, 2], [0, 2, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 0, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10031, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 0, \"R\": 4, \"O\": 1, \"obstacles\": [[2, 0, 0]], \"MOD\": 1713, \"reference_answer\": 1}, \"passing_reward_threshold\": 1.0}}",
"qu... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 5, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10032, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 5, \"R\": 5, \"O\": 14, \"obstacles\": [[0, 0, 5], [0, 1, 0], [0, 4, 1], [0, 5, 4], [0, 5, 0], [0, 5, 1], [0, 1, 1], [0, 4, 0], [0, 0, ... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10032, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 5, \"R\": 5, \"O\": 14, \"obstacles\": [[0, 0, 5], [0, 1, 0], [0, 4, 1], [0, 5, 4], [0, 5, 0], [0, 5, 1], [0, 1, 1], [0, 4, 0], [0, 0, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 1, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 8 | rlve | {
"answer": "8",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10033, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 1, \"R\": 5, \"O\": 4, \"obstacles\": [[4, 0, 5], [4, 1, 0], [0, 1, 5], [0, 0, 5]], \"MOD\": 9355, \"reference_answer\": 8}, \"passing_... | {
"ground_truth": "8"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 8 | rlve | {
"answer": "8",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10033, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 1, \"R\": 5, \"O\": 4, \"obstacles\": [[4, 0, 5], [4, 1, 0], [0, 1, 5], [0, 0, 5]], \"MOD\": 9355, \"reference_answer\": 8}, \"passing_... | {
"ground_truth": "8"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 3, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10034, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 3, \"R\": 5, \"O\": 18, \"obstacles\": [[4, 0, 0], [0, 1, 5], [4, 0, 1], [4, 2, 5], [0, 3, 5], [4, 3, 4], [0, 0, 5], [4, 0, 5], [0, 1, ... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 4, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 24 | rlve | {
"answer": "24",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10035, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 6, \"M\": 4, \"R\": 4, \"O\": 1, \"obstacles\": [[0, 4, 4]], \"MOD\": 1193, \"reference_answer\": 24}, \"passing_reward_threshold\": 1.0}}",
"... | {
"ground_truth": "24"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 2, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 4 | rlve | {
"answer": "4",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10036, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 2, \"R\": 4, \"O\": 1, \"obstacles\": [[2, 0, 4]], \"MOD\": 5819, \"reference_answer\": 4}, \"passing_reward_threshold\": 1.0}}",
"qu... | {
"ground_truth": "4"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 1, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 11 | rlve | {
"answer": "11",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10037, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 1, \"R\": 3, \"O\": 5, \"obstacles\": [[1, 1, 1], [1, 1, 0], [0, 1, 0], [1, 0, 0], [1, 0, 1]], \"MOD\": 8465, \"reference_answer\": 11... | {
"ground_truth": "11"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 2, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10038, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 2, \"R\": 5, \"O\": 3, \"obstacles\": [[0, 0, 4], [0, 2, 0], [0, 0, 5]], \"MOD\": 6510, \"reference_answer\": 1}, \"passing_reward_thre... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 1, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10039, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 1, \"R\": 3, \"O\": 14, \"obstacles\": [[1, 0, 3], [0, 1, 2], [1, 0, 1], [1, 1, 1], [0, 0, 1], [0, 1, 0], [1, 0, 0], [1, 1, 2], [0, 1, ... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10039, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 1, \"R\": 3, \"O\": 14, \"obstacles\": [[1, 0, 3], [0, 1, 2], [1, 0, 1], [1, 1, 1], [0, 0, 1], [0, 1, 0], [1, 0, 0], [1, 1, 2], [0, 1, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 0, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10040, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 0, \"R\": 2, \"O\": 6, \"obstacles\": [[0, 0, 2], [1, 0, 0], [4, 0, 2], [4, 0, 0], [1, 0, 2], [5, 0, 0]], \"MOD\": 1033, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 2, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10041, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 2, \"R\": 4, \"O\": 12, \"obstacles\": [[3, 2, 0], [2, 0, 0], [1, 0, 0], [3, 0, 4], [0, 0, 4], [2, 0, 4], [1, 0, 4], [0, 2, 4], [1, 2, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 5, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 57 | rlve | {
"answer": "57",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10042, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 5, \"R\": 3, \"O\": 8, \"obstacles\": [[2, 4, 2], [2, 4, 0], [2, 0, 0], [2, 1, 2], [0, 1, 3], [0, 0, 3], [2, 1, 3], [0, 5, 1]], \"MOD\... | {
"ground_truth": "57"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 2, 1). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10043, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 2, \"R\": 1, \"O\": 2, \"obstacles\": [[0, 2, 0], [0, 0, 1]], \"MOD\": 4371, \"reference_answer\": 0}, \"passing_reward_threshold\": 1.... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10043, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 2, \"R\": 1, \"O\": 2, \"obstacles\": [[0, 2, 0], [0, 0, 1]], \"MOD\": 4371, \"reference_answer\": 0}, \"passing_reward_threshold\": 1.... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 2, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 13 | rlve | {
"answer": "13",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10044, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 2, \"R\": 3, \"O\": 3, \"obstacles\": [[1, 0, 3], [1, 2, 1], [1, 0, 0]], \"MOD\": 3326, \"reference_answer\": 13}, \"passing_reward_th... | {
"ground_truth": "13"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 4, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 22 | rlve | {
"answer": "22",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10045, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 4, \"R\": 5, \"O\": 1, \"obstacles\": [[0, 4, 5]], \"MOD\": 7242, \"reference_answer\": 22}, \"passing_reward_threshold\": 1.0}}",
"... | {
"ground_truth": "22"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 3, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10046, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 3, \"R\": 3, \"O\": 18, \"obstacles\": [[2, 0, 3], [2, 2, 0], [2, 2, 3], [0, 3, 0], [0, 1, 1], [2, 0, 0], [0, 0, 1], [0, 0, 3], [0, 3, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 3, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 51 | rlve | {
"answer": "51",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10047, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 3, \"R\": 2, \"O\": 9, \"obstacles\": [[2, 3, 0], [1, 2, 0], [3, 0, 0], [3, 2, 0], [3, 0, 2], [0, 3, 0], [3, 1, 0], [1, 3, 0], [0, 2, ... | {
"ground_truth": "51"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 0, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 14 | rlve | {
"answer": "14",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10048, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 0, \"R\": 3, \"O\": 5, \"obstacles\": [[5, 0, 2], [1, 0, 2], [1, 0, 1], [0, 0, 2], [5, 0, 0]], \"MOD\": 3657, \"reference_answer\": 14... | {
"ground_truth": "14"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 3, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10049, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 3, \"R\": 5, \"O\": 8, \"obstacles\": [[0, 3, 0], [0, 3, 4], [0, 1, 5], [0, 3, 1], [0, 2, 0], [0, 1, 4], [0, 2, 5], [0, 0, 1]], \"MOD\"... | {
"ground_truth": "2"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 2 | rlve | {
"answer": "2",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10049, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 3, \"R\": 5, \"O\": 8, \"obstacles\": [[0, 3, 0], [0, 3, 4], [0, 1, 5], [0, 3, 1], [0, 2, 0], [0, 1, 4], [0, 2, 5], [0, 0, 1]], \"MOD\"... | {
"ground_truth": "2"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 2, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10050, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 2, \"R\": 4, \"O\": 4, \"obstacles\": [[0, 0, 4], [1, 2, 0], [0, 2, 0], [0, 2, 4]], \"MOD\": 5349, \"reference_answer\": 1}, \"passing_... | {
"ground_truth": "1"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10050, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 2, \"R\": 4, \"O\": 4, \"obstacles\": [[0, 0, 4], [1, 2, 0], [0, 2, 0], [0, 2, 4]], \"MOD\": 5349, \"reference_answer\": 1}, \"passing_... | {
"ground_truth": "1"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 5, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 10 | rlve | {
"answer": "10",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10051, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 2, \"M\": 5, \"R\": 5, \"O\": 15, \"obstacles\": [[0, 1, 1], [0, 4, 5], [0, 5, 4], [0, 5, 5], [0, 1, 5], [2, 1, 5], [2, 0, 0], [0, 1, 0], [0, 0,... | {
"ground_truth": "10"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 1, 3). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 10 | rlve | {
"answer": "10",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10052, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 1, \"R\": 3, \"O\": 15, \"obstacles\": [[2, 1, 2], [1, 1, 1], [2, 1, 0], [2, 0, 2], [3, 1, 0], [2, 0, 1], [0, 1, 2], [0, 1, 3], [3, 1,... | {
"ground_truth": "10"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 10 | rlve | {
"answer": "10",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10052, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 1, \"R\": 3, \"O\": 15, \"obstacles\": [[2, 1, 2], [1, 1, 1], [2, 1, 0], [2, 0, 2], [3, 1, 0], [2, 0, 1], [0, 1, 2], [0, 1, 3], [3, 1,... | {
"ground_truth": "10"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 5, 5). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 204 | rlve | {
"answer": "204",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10053, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 3, \"M\": 5, \"R\": 5, \"O\": 15, \"obstacles\": [[3, 5, 0], [0, 4, 0], [0, 4, 1], [1, 1, 5], [3, 4, 0], [2, 4, 0], [0, 5, 0], [3, 4, 5], [0, 0... | {
"ground_truth": "204"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 0, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 6 | rlve | {
"answer": "6",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10054, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 5, \"M\": 0, \"R\": 4, \"O\": 1, \"obstacles\": [[1, 0, 4]], \"MOD\": 1698, \"reference_answer\": 6}, \"passing_reward_threshold\": 1.0}}",
"qu... | {
"ground_truth": "6"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 4, 6). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10055, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 4, \"M\": 4, \"R\": 6, \"O\": 11, \"obstacles\": [[0, 4, 6], [4, 0, 6], [4, 0, 0], [0, 4, 4], [0, 4, 2], [4, 0, 2], [0, 0, 2], [0, 0, 6], [4, 0, ... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 5, 4). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10056, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 5, \"R\": 4, \"O\": 6, \"obstacles\": [[0, 0, 4], [0, 4, 4], [0, 1, 0], [0, 4, 0], [0, 1, 4], [0, 5, 0]], \"MOD\": 7939, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to carefully study the partial response, identify what reasoning or steps are already provided, and then complete the solution from where it left off. Ensure your continuation is logically consistent and leads to a complete and correc... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10056, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 5, \"R\": 4, \"O\": 6, \"obstacles\": [[0, 0, 4], [0, 4, 4], [0, 1, 0], [0, 4, 0], [0, 1, 4], [0, 5, 0]], \"MOD\": 7939, \"reference_an... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 5, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 0 | rlve | {
"answer": "0",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10057, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 0, \"M\": 5, \"R\": 2, \"O\": 5, \"obstacles\": [[0, 5, 0], [0, 1, 0], [0, 1, 2], [0, 4, 0], [0, 0, 2]], \"MOD\": 4696, \"reference_answer\": 0},... | {
"ground_truth": "0"
} |
[
{
"content": "In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 2, 2). At each step, if you are currently at (x, y, z), you may move to a new (different from the current one) point of one of the following types:\n1. (x', y, z) such that x AND x' = x\n2. (x, y', z) such t... | 1 | rlve | {
"answer": "1",
"metadata": "{\"environment\": \"BannedPointSupersetPathCounting\", \"config\": {\"seed\": 10058, \"parameter\": {\"MAX_N_M_R\": 6, \"MAX_O\": 20, \"N\": 1, \"M\": 2, \"R\": 2, \"O\": 4, \"obstacles\": [[0, 0, 2], [1, 2, 0], [0, 2, 2], [0, 2, 0]], \"MOD\": 4159, \"reference_answer\": 1}, \"passing_... | {
"ground_truth": "1"
} |
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