prefix large_stringlengths 353 47.4k | response large_stringclasses 1
value | metadata large_stringlengths 167 753 | answer large_stringlengths 1 21 | index int64 0 9k |
|---|---|---|---|---|
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 22 | 0 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 5 | 1 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 0 | 2 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_reward_threshold": 1.0}} | 0 | 3 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 90 | 4 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 0], [2, 6, 4], [0, 6, 4], [2, 2, 0], [6, 0, 4], [2, 0, 0],... | 9 | 5 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 17 | 7 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 3], [0, 2, 3]], "MOD": 7275, "reference_answer": 20}, "pas... | 20 | 8 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 4 | 9 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 24 | 10 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 0 | 11 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 1094 | 12 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 13 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 4], [2, 0, 4], [0, 1, 0], [2, 0, 0]], "MOD": 4762, "refere... | 0 | 14 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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]], "MOD": 6847, "reference_answer": 2}, "passing_reward_t... | 2 | 15 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 16 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, "reference_answer": 3}, "passing_reward_threshold": 1.0}} | 3 | 17 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 13 | 18 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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]], "MOD": 4466, "reference_answer": 2}, "passing_reward_t... | 2 | 19 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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": 1.0}} | 1 | 20 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 95 | 21 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 1], [0, 4, 0], [0, 0, 2]], "MOD": 8506, "reference_answer"... | 352 | 22 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 0], [4, 4, 1], [5, 4, 0], [0, 4, 0], [0, 2, 1], [5, 0, 0],... | 0 | 23 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 0 | 24 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 0 | 25 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 2], [0, 1, 4], [4, 1, 0], [0, 0, 6], [0, 0, 2], [0, 1, 6]]... | 0 | 26 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 4], [1, 4, 4], [0, 4, 5], [1, 0, 0], [0, 5, 1], [0, 0, 1],... | 2 | 27 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 2 | 28 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 29 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 0], [0, 0, 2], [0, 4, 0], [4, 6, 0], [4, 0, 0]], "MOD": 25... | 0 | 30 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 1 | 31 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 1], [0, 4, 4], [0, 1, 4], [0, 0, 4], [0, 1, 5], [0, 4, 5]]... | 0 | 32 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_reward_threshold": 1.0}} | 8 | 33 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 1], [0, 0, 4], [4, 2, 0], [0, 3, 1], [4, 1, 5], [0, 1, 0],... | 1 | 34 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 24 | 35 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 4 | 36 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 11 | 37 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 1 | 38 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 3], [0, 1, 1], [1, 0, 2], [0, 0, 2], [0, 0, 3], [1, 1, 0]]... | 0 | 39 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 40 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 0], [3, 0, 0], [2, 2, 4], [0, 2, 0]], "MOD": 493, "referen... | 0 | 41 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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": 4461, "reference_answer": 57}, "passing_reward_threshold":... | 57 | 42 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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": 1.0}} | 0 | 43 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_threshold": 1.0}} | 13 | 44 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 22 | 45 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 3], [0, 1, 2], [2, 3, 0], [2, 3, 1], [0, 1, 0], [0, 2, 2],... | 0 | 46 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 2]], "MOD": 192, "reference_answer": 51}, "passing_reward_t... | 51 | 47 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 14 | 48 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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": 9249, "reference_answer": 2}, "passing_reward_threshold": ... | 2 | 49 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_reward_threshold": 1.0}} | 1 | 50 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 5], [2, 0, 5], [2, 5, 0], [2, 5, 1], [0, 5, 0], [2, 0, 4],... | 10 | 51 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 2], [1, 0, 0], [3, 0, 3], [1, 1, 0], [3, 0, 0], [1, 0, 3],... | 10 | 52 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 4], [1, 4, 1], [2, 5, 5], [3, 1, 4], [2, 1, 0], [1, 5, 5],... | 204 | 53 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}} | 6 | 54 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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, 4], [4, 4, 0], [0, 4, 0]], "MOD": 8927, "reference_answer"... | 0 | 55 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 56 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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}, "passing_reward_threshold": 1.0}} | 0 | 57 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"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_reward_threshold": 1.0}} | 1 | 58 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10059, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 3, "R": 2, "O": 10, "obstacles": [[0, 0, 2], [0, 2, 0], [0, 3, 2], [2, 0, 2], [2, 2, 2], [2, 2, 0], [2, 0, 0], [0, 3, 0], [2, 1, 2], [2, 3, 0]], "MOD": 1759, "reference_answer": 0}, "pass... | 0 | 59 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10060, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 3, "M": 0, "R": 4, "O": 2, "obstacles": [[0, 0, 4], [1, 0, 4]], "MOD": 635, "reference_answer": 4}, "passing_reward_threshold": 1.0}} | 4 | 60 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10061, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 6, "R": 3, "O": 17, "obstacles": [[5, 4, 2], [5, 0, 0], [4, 0, 3], [5, 6, 0], [5, 0, 3], [1, 6, 3], [1, 0, 2], [0, 4, 0], [4, 0, 1], [0, 0, 3], [5, 6, 1], [0, 6, 3], [4, 4, 0], [0, 2, 3],... | 155 | 61 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10062, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 3, "M": 1, "R": 5, "O": 18, "obstacles": [[1, 0, 5], [0, 1, 4], [3, 1, 1], [2, 0, 4], [0, 0, 5], [0, 1, 5], [0, 1, 0], [3, 0, 4], [2, 0, 0], [1, 0, 1], [3, 1, 0], [2, 1, 5], [3, 0, 0], [3, 1, 4],... | 3 | 62 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10063, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 1, "M": 6, "R": 6, "O": 15, "obstacles": [[1, 4, 6], [1, 0, 0], [0, 4, 0], [1, 4, 4], [1, 6, 2], [0, 6, 4], [0, 6, 0], [0, 0, 4], [1, 4, 0], [0, 0, 6], [1, 6, 4], [1, 0, 6], [0, 2, 0], [0, 6, 6],... | 3 | 63 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10064, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 4, "R": 2, "O": 10, "obstacles": [[6, 4, 0], [2, 4, 2], [0, 4, 0], [0, 0, 2], [6, 0, 0], [4, 0, 2], [4, 0, 0], [0, 4, 2], [2, 0, 2], [6, 0, 2]], "MOD": 7272, "reference_answer": 0}, "pass... | 0 | 64 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10065, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 4, "R": 1, "O": 1, "obstacles": [[0, 0, 1]], "MOD": 545, "reference_answer": 22}, "passing_reward_threshold": 1.0}} | 22 | 65 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10066, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 2, "R": 0, "O": 1, "obstacles": [[0, 2, 0]], "MOD": 1600, "reference_answer": 1}, "passing_reward_threshold": 1.0}} | 1 | 66 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10067, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 5, "R": 2, "O": 14, "obstacles": [[2, 0, 2], [2, 0, 0], [0, 0, 2], [0, 5, 2], [2, 5, 0], [0, 4, 0], [2, 1, 2], [0, 5, 0], [2, 4, 0], [2, 4, 2], [2, 1, 0], [0, 4, 2], [0, 1, 2], [0, 1, 0]]... | 0 | 67 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10068, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 4, "R": 2, "O": 2, "obstacles": [[0, 4, 0], [0, 0, 2]], "MOD": 2605, "reference_answer": 2}, "passing_reward_threshold": 1.0}} | 2 | 68 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10069, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 1, "R": 4, "O": 2, "obstacles": [[2, 0, 4], [0, 1, 4]], "MOD": 2218, "reference_answer": 2}, "passing_reward_threshold": 1.0}} | 2 | 69 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10070, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 2, "R": 1, "O": 10, "obstacles": [[0, 2, 1], [2, 0, 0], [4, 2, 0], [4, 2, 1], [2, 2, 1], [0, 2, 0], [6, 0, 0], [6, 2, 0], [0, 0, 1], [6, 0, 1]], "MOD": 6163, "reference_answer": 0}, "pass... | 0 | 70 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10071, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 1, "M": 4, "R": 3, "O": 8, "obstacles": [[1, 0, 3], [1, 4, 1], [0, 0, 3], [0, 4, 0], [0, 4, 2], [0, 0, 1], [0, 4, 3], [1, 0, 0]], "MOD": 9669, "reference_answer": 1}, "passing_reward_threshold": ... | 1 | 71 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10072, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 0, "R": 3, "O": 12, "obstacles": [[4, 0, 2], [0, 0, 2], [4, 0, 0], [0, 0, 1], [2, 0, 0], [6, 0, 2], [4, 0, 3], [6, 0, 0], [2, 0, 1], [4, 0, 1], [0, 0, 3], [2, 0, 3]], "MOD": 4369, "refere... | 0 | 72 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 0, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10073, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 0, "R": 5, "O": 14, "obstacles": [[1, 0, 5], [5, 0, 1], [1, 0, 0], [0, 0, 1], [4, 0, 1], [1, 0, 4], [4, 0, 5], [0, 0, 5], [1, 0, 1], [4, 0, 4], [5, 0, 0], [4, 0, 0], [0, 0, 4], [5, 0, 4]]... | 0 | 73 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10074, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 6, "R": 5, "O": 17, "obstacles": [[0, 6, 0], [0, 2, 5], [4, 2, 0], [0, 6, 5], [5, 2, 4], [1, 6, 5], [5, 4, 5], [0, 4, 0], [1, 2, 4], [5, 6, 1], [1, 2, 1], [5, 0, 0], [5, 0, 5], [5, 6, 0],... | 138 | 74 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10075, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 4, "M": 6, "R": 3, "O": 5, "obstacles": [[4, 4, 0], [0, 4, 3], [0, 0, 2], [0, 6, 2], [4, 6, 0]], "MOD": 5219, "reference_answer": 88}, "passing_reward_threshold": 1.0}} | 88 | 75 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10076, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 6, "R": 4, "O": 4, "obstacles": [[0, 6, 4], [2, 6, 0], [6, 6, 0], [2, 4, 4]], "MOD": 3900, "reference_answer": 92}, "passing_reward_threshold": 1.0}} | 92 | 76 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10077, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 6, "R": 3, "O": 10, "obstacles": [[4, 0, 3], [5, 0, 3], [5, 0, 2], [5, 4, 3], [5, 0, 0], [5, 2, 2], [1, 0, 3], [4, 2, 0], [1, 6, 0], [0, 0, 1]], "MOD": 1107, "reference_answer": 486}, "pa... | 486 | 77 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10078, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 3, "M": 5, "R": 6, "O": 7, "obstacles": [[3, 5, 0], [1, 0, 2], [0, 4, 6], [2, 0, 6], [0, 4, 2], [3, 0, 0], [1, 5, 2]], "MOD": 3376, "reference_answer": 685}, "passing_reward_threshold": 1.0}} | 685 | 78 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10079, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 4, "R": 2, "O": 2, "obstacles": [[2, 4, 0], [0, 0, 2]], "MOD": 8029, "reference_answer": 2}, "passing_reward_threshold": 1.0}} | 2 | 79 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10080, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 0, "R": 3, "O": 3, "obstacles": [[6, 0, 0], [2, 0, 1], [0, 0, 3]], "MOD": 3508, "reference_answer": 16}, "passing_reward_threshold": 1.0}} | 16 | 80 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (1, 5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10081, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 1, "M": 5, "R": 1, "O": 7, "obstacles": [[1, 1, 1], [0, 1, 1], [1, 0, 0], [0, 0, 1], [1, 0, 1], [1, 1, 0], [0, 4, 1]], "MOD": 302, "reference_answer": 8}, "passing_reward_threshold": 1.0}} | 8 | 81 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10083, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 3, "M": 6, "R": 1, "O": 9, "obstacles": [[0, 0, 1], [2, 2, 1], [0, 6, 1], [0, 4, 0], [2, 6, 1], [3, 2, 0], [0, 6, 0], [0, 4, 1], [1, 0, 1]], "MOD": 7205, "reference_answer": 48}, "passing_reward_... | 48 | 83 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10085, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 4, "M": 5, "R": 5, "O": 17, "obstacles": [[4, 4, 0], [4, 0, 0], [0, 4, 5], [0, 1, 5], [0, 5, 1], [0, 0, 5], [4, 4, 4], [0, 0, 1], [0, 0, 4], [4, 1, 5], [0, 1, 1], [4, 5, 0], [0, 1, 0], [4, 0, 5],... | 2 | 85 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10086, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 0, "M": 2, "R": 6, "O": 1, "obstacles": [[0, 2, 2]], "MOD": 7238, "reference_answer": 6}, "passing_reward_threshold": 1.0}} | 6 | 86 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10087, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 4, "R": 1, "O": 4, "obstacles": [[0, 4, 1], [0, 4, 0], [5, 0, 0], [4, 0, 1]], "MOD": 7148, "reference_answer": 9}, "passing_reward_threshold": 1.0}} | 9 | 87 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (6, 6, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10089, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 6, "M": 6, "R": 0, "O": 10, "obstacles": [[0, 4, 0], [0, 2, 0], [2, 0, 0], [4, 6, 0], [2, 4, 0], [0, 6, 0], [4, 0, 0], [6, 2, 0], [2, 6, 0], [6, 4, 0]], "MOD": 612, "reference_answer": 1}, "passi... | 1 | 89 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10090, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 5, "R": 5, "O": 3, "obstacles": [[5, 1, 4], [5, 0, 1], [4, 5, 4]], "MOD": 3591, "reference_answer": 974}, "passing_reward_threshold": 1.0}} | 974 | 90 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 3, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10091, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 3, "R": 4, "O": 13, "obstacles": [[0, 0, 4], [2, 2, 4], [0, 3, 0], [0, 1, 0], [0, 2, 0], [2, 3, 0], [0, 3, 4], [2, 0, 0], [0, 1, 4], [2, 0, 4], [2, 1, 0], [2, 1, 4], [0, 2, 4]], "MOD": 39... | 0 | 91 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (3, 4, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10092, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 3, "M": 4, "R": 0, "O": 2, "obstacles": [[0, 4, 0], [1, 4, 0]], "MOD": 5927, "reference_answer": 4}, "passing_reward_threshold": 1.0}} | 4 | 92 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10093, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 0, "M": 5, "R": 3, "O": 8, "obstacles": [[0, 5, 1], [0, 5, 2], [0, 1, 3], [0, 4, 1], [0, 5, 0], [0, 1, 0], [0, 0, 2], [0, 4, 3]], "MOD": 926, "reference_answer": 2}, "passing_reward_threshold": 1... | 2 | 93 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10094, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 2, "R": 2, "O": 11, "obstacles": [[1, 0, 2], [4, 0, 2], [4, 2, 0], [5, 2, 0], [0, 0, 2], [5, 0, 0], [1, 2, 2], [0, 2, 2], [1, 2, 0], [5, 0, 2], [0, 2, 0]], "MOD": 2587, "reference_answer"... | 0 | 94 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10095, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 0, "M": 4, "R": 3, "O": 6, "obstacles": [[0, 0, 1], [0, 4, 0], [0, 0, 2], [0, 0, 3], [0, 4, 1], [0, 4, 2]], "MOD": 879, "reference_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 95 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 0, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10096, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 0, "R": 5, "O": 5, "obstacles": [[2, 0, 4], [2, 0, 1], [0, 0, 4], [2, 0, 0], [0, 0, 5]], "MOD": 4456, "reference_answer": 0}, "passing_reward_threshold": 1.0}} | 0 | 96 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (0, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10097, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 0, "M": 3, "R": 3, "O": 5, "obstacles": [[0, 3, 0], [0, 0, 1], [0, 0, 2], [0, 1, 0], [0, 0, 3]], "MOD": 1497, "reference_answer": 5}, "passing_reward_threshold": 1.0}} | 5 | 97 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10098, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 3, "R": 0, "O": 12, "obstacles": [[1, 0, 0], [1, 2, 0], [4, 0, 0], [0, 2, 0], [4, 1, 0], [4, 3, 0], [5, 1, 0], [5, 0, 0], [0, 1, 0], [1, 3, 0], [4, 2, 0], [0, 3, 0]], "MOD": 5338, "refere... | 0 | 98 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10099, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 0, "R": 3, "O": 2, "obstacles": [[2, 0, 2], [0, 0, 2]], "MOD": 9004, "reference_answer": 5}, "passing_reward_threshold": 1.0}} | 5 | 99 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10100, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 2, "R": 1, "O": 7, "obstacles": [[0, 0, 1], [1, 0, 0], [5, 0, 1], [5, 2, 0], [0, 2, 1], [4, 0, 1], [0, 2, 0]], "MOD": 7341, "reference_answer": 1}, "passing_reward_threshold": 1.0}} | 1 | 100 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (5, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10101, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 1, "R": 4, "O": 5, "obstacles": [[4, 0, 0], [0, 1, 4], [0, 0, 4], [5, 1, 0], [4, 0, 4]], "MOD": 6794, "reference_answer": 7}, "passing_reward_threshold": 1.0}} | 7 | 101 | |
<|im_start|>user
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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10102, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 5, "M": 6, "R": 1, "O": 20, "obstacles": [[1, 4, 1], [5, 2, 1], [1, 0, 1], [0, 0, 1], [0, 6, 1], [4, 6, 1], [4, 2, 0], [0, 2, 0], [5, 0, 1], [5, 6, 0], [5, 2, 0], [1, 6, 0], [0, 4, 1], [4, 0, 0],... | 0 | 102 | |
<|im_start|>user
In a three-dimensional space, you start at point (0, 0, 0) and want to reach the point (2, 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:
1. (x', y, z) such that x AND x' = x
2. (x, y', z) such that y A... | {"environment": "BannedPointSupersetPathCounting", "config": {"seed": 10103, "parameter": {"MAX_N_M_R": 6, "MAX_O": 20, "N": 2, "M": 4, "R": 4, "O": 1, "obstacles": [[2, 0, 0]], "MOD": 148, "reference_answer": 4}, "passing_reward_threshold": 1.0}} | 4 | 103 |
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