Dataset Viewer
dataset
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[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 42, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"B#\", \"#B\"], \"reference_answer\": \"#A #B\", \"gold_answer\": [\"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 43, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"A#\", \"B#\"], \"reference_answer\": \"#A #B A# B#\", \"gold_answer\": [\"#A\", \"#B\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 44, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"A#\", \"A#\", \"A#\"], \"reference_answer\": \"A# A# A# A#\", \"gold_answer\": [\"A#\", \"A#\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# A# A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 45, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"A#\", \"A#\"], \"reference_answer\": \"A# A#\", \"gold_answer\": [\"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 46, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"#A\", \"#B\"], \"reference_answer\": \"#A #A\", \"gold_answer\": [\"#A\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 47, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"B#\", \"B#\"], \"reference_answer\": \"#A B# B# B#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 48, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"A#\", \"#B\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 49, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"B#\", \"B#\", \"B#\"], \"reference_answer\": \"#A B# B# B#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A B# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 50, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"A#\", \"#A\"], \"reference_answer\": \"B# B#\", \"gold_answer\": [\"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# A# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 51, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"#B\", \"B#\"], \"reference_answer\": \"#B #A #B B#\", \"gold_answer\": [\"#B\", \"#A\", \"#B\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 52, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#B\", \"A#\", \"#B\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #B A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 53, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"#B\", \"A#\"], \"reference_answer\": \"B# A#\", \"gold_answer\": [\"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# #B A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 54, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"B#\", \"#A\", \"#A\"], \"reference_answer\": \"#B #A #A B#\", \"gold_answer\": [\"#B\", \"#A\", \"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B B# #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 55, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#B\", \"#A\", \"#A\"], \"reference_answer\": \"#B #B #A #A\", \"gold_answer\": [\"#B\", \"#B\", \"#A\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #B #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 56, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"B#\", \"#A\"], \"reference_answer\": \"#B #A #A B#\", \"gold_answer\": [\"#B\", \"#A\", \"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A B# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 57, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#A\", \"#B\"], \"reference_answer\": \"#A #B #A #B\", \"gold_answer\": [\"#A\", \"#B\", \"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 58, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"#B\", \"B#\"], \"reference_answer\": \"#B B#\", \"gold_answer\": [\"#B\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 59, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"A#\", \"B#\"], \"reference_answer\": \"A# B#\", \"gold_answer\": [\"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 60, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"#B\", \"#B\"], \"reference_answer\": \"#B #B\", \"gold_answer\": [\"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 61, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#B\", \"A#\", \"A#\"], \"reference_answer\": \"#B A# A# A#\", \"gold_answer\": [\"#B\", \"A#\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #B A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 62, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"A#\", \"A#\"], \"reference_answer\": \"#A #B A# A#\", \"gold_answer\": [\"#A\", \"#B\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 63, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"B#\", \"A#\"], \"reference_answer\": \"#A A# B# A#\", \"gold_answer\": [\"#A\", \"A#\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# B# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 64, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"A#\", \"#B\", \"B#\"], \"reference_answer\": \"#B A# A# B#\", \"gold_answer\": [\"#B\", \"A#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# A# #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 65, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"#A\", \"#A\"], \"reference_answer\": \"#A #A #A #A\", \"gold_answer\": [\"#A\", \"#A\", \"#A\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 66, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"#B\", \"B#\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 67, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#B\", \"B#\", \"#B\"], \"reference_answer\": \"\", \"gold_answer\": []}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #B B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 68, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#B\", \"#B\", \"#A\"], \"reference_answer\": \"#B #A\", \"gold_answer\": [\"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #B #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 69, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"#B\", \"B#\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 70, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#A\", \"#B\"], \"reference_answer\": \"#A #B #A #B\", \"gold_answer\": [\"#A\", \"#B\", \"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 71, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#B\", \"A#\", \"A#\"], \"reference_answer\": \"#B #B A# A#\", \"gold_answer\": [\"#B\", \"#B\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #B A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 72, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#B\", \"#A\"], \"reference_answer\": \"#A #B #B #A\", \"gold_answer\": [\"#A\", \"#B\", \"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 73, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"B#\", \"B#\"], \"reference_answer\": \"B# B# B# B#\", \"gold_answer\": [\"B#\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 74, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#A\", \"A#\"], \"reference_answer\": \"#A #B #A A#\", \"gold_answer\": [\"#A\", \"#B\", \"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 75, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"B#\", \"#B\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 76, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"A#\", \"B#\", \"#A\"], \"reference_answer\": \"#B B#\", \"gold_answer\": [\"#B\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B A# B# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 77, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#B\", \"A#\", \"#B\"], \"reference_answer\": \"#B #B A# A#\", \"gold_answer\": [\"#B\", \"#B\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #B A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 78, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#B\", \"B#\", \"#B\"], \"reference_answer\": \"#B #B\", \"gold_answer\": [\"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #B B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 79, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"B#\", \"#A\", \"A#\"], \"reference_answer\": \"#A #A B# A#\", \"gold_answer\": [\"#A\", \"#A\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A B# #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 80, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"A#\", \"B#\"], \"reference_answer\": \"#A #A A# B#\", \"gold_answer\": [\"#A\", \"#A\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 81, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"A#\", \"#A\", \"#B\"], \"reference_answer\": \"#B #B\", \"gold_answer\": [\"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B A# #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 82, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"A#\", \"#B\"], \"reference_answer\": \"B# A#\", \"gold_answer\": [\"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 83, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"#A\", \"A#\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 84, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"B#\", \"B#\"], \"reference_answer\": \"B# B# B# B#\", \"gold_answer\": [\"B#\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 85, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#B\", \"#B\", \"#A\"], \"reference_answer\": \"#B #B\", \"gold_answer\": [\"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #B #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 86, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"#A\", \"B#\"], \"reference_answer\": \"#A B# B# B#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# #A B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 87, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#B\", \"#B\", \"#B\"], \"reference_answer\": \"#B #B #B #B\", \"gold_answer\": [\"#B\", \"#B\", \"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #B #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 88, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"B#\", \"#B\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 89, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"#A\", \"#B\"], \"reference_answer\": \"#B #A #A #B\", \"gold_answer\": [\"#B\", \"#A\", \"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 90, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"B#\", \"#B\"], \"reference_answer\": \"B# B#\", \"gold_answer\": [\"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 91, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#B\", \"#B\", \"B#\"], \"reference_answer\": \"#B #B #B B#\", \"gold_answer\": [\"#B\", \"#B\", \"#B\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #B #B B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 92, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#B\", \"A#\", \"#B\"], \"reference_answer\": \"#B #B A# A#\", \"gold_answer\": [\"#B\", \"#B\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #B A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 93, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"A#\", \"A#\", \"A#\"], \"reference_answer\": \"A# A# A# A#\", \"gold_answer\": [\"A#\", \"A#\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# A# A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 94, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"A#\", \"B#\", \"#B\"], \"reference_answer\": \"B# A#\", \"gold_answer\": [\"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# A# B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 95, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"#A\", \"#B\"], \"reference_answer\": \"#B #A #A #B\", \"gold_answer\": [\"#B\", \"#A\", \"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 96, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"A#\", \"#B\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 97, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"A#\", \"B#\"], \"reference_answer\": \"#A #A A# B#\", \"gold_answer\": [\"#A\", \"#A\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 98, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"B#\", \"#B\", \"#B\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# B# #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 99, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"A#\", \"A#\", \"B#\"], \"reference_answer\": \"A# A# A# B#\", \"gold_answer\": [\"A#\", \"A#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# A# A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 100, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"#A\", \"B#\"], \"reference_answer\": \"#A B# B# B#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# #A B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 101, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"#A\", \"#A\"], \"reference_answer\": \"#A #A #A B#\", \"gold_answer\": [\"#A\", \"#A\", \"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 102, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"B#\", \"B#\", \"A#\"], \"reference_answer\": \"#A B# B# A#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A B# B# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 103, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"A#\", \"#A\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# A# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 104, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#B\", \"A#\"], \"reference_answer\": \"#A #B #B A#\", \"gold_answer\": [\"#A\", \"#B\", \"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #B A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 105, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"A#\", \"#B\"], \"reference_answer\": \"B# A#\", \"gold_answer\": [\"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# A# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 106, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"A#\", \"A#\", \"B#\"], \"reference_answer\": \"#B A# A# B#\", \"gold_answer\": [\"#B\", \"A#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B A# A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 107, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"B#\", \"A#\"], \"reference_answer\": \"#B #A B# A#\", \"gold_answer\": [\"#B\", \"#A\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A B# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 108, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#B\", \"#A\", \"A#\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #B #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 109, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"A#\", \"B#\", \"#B\"], \"reference_answer\": \"B# A#\", \"gold_answer\": [\"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# A# B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 110, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"B#\", \"B#\"], \"reference_answer\": \"B# B# B# B#\", \"gold_answer\": [\"B#\", \"B#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 111, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"B#\", \"A#\", \"#A\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A B# A# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 112, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"A#\", \"A#\", \"#A\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B A# A# #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 113, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#A\", \"#B\", \"#B\"], \"reference_answer\": \"#A #B\", \"gold_answer\": [\"#A\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #A #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 114, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"A#\", \"B#\", \"B#\"], \"reference_answer\": \"B# A# B# B#\", \"gold_answer\": [\"B#\", \"A#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# A# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 115, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#B\", \"#A\", \"A#\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #B #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 116, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"A#\", \"A#\"], \"reference_answer\": \"#A #A A# A#\", \"gold_answer\": [\"#A\", \"#A\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 117, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"#A\", \"A#\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 118, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"#A\", \"A#\"], \"reference_answer\": \"#A A#\", \"gold_answer\": [\"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 119, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"#B\", \"#B\"], \"reference_answer\": \"#B #B\", \"gold_answer\": [\"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 120, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"B#\", \"B#\"], \"reference_answer\": \"#A A# B# B#\", \"gold_answer\": [\"#A\", \"A#\", \"B#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# B# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 121, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"#B\", \"#A\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 122, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"#B\", \"#B\"], \"reference_answer\": \"#B #A #B #B\", \"gold_answer\": [\"#B\", \"#A\", \"#B\", \"#B\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A #B #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 123, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#B\", \"#A\"], \"reference_answer\": \"#A #B #B #A\", \"gold_answer\": [\"#A\", \"#B\", \"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 124, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"B#\", \"A#\", \"A#\"], \"reference_answer\": \"A# B# A# A#\", \"gold_answer\": [\"A#\", \"B#\", \"A#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# B# A# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 125, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"B#\", \"B#\", \"A#\"], \"reference_answer\": \"#A B# B# A#\", \"gold_answer\": [\"#A\", \"B#\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A B# B# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 126, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"#A\", \"#A\"], \"reference_answer\": \"#A #A #A #A\", \"gold_answer\": [\"#A\", \"#A\", \"#A\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 127, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"A#\", \"A#\", \"B#\"], \"reference_answer\": \"#A A# A# B#\", \"gold_answer\": [\"#A\", \"A#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A A# A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 128, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#A\", \"#A\"], \"reference_answer\": \"#A #B #A #A\", \"gold_answer\": [\"#A\", \"#B\", \"#A\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #A #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 129, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"A#\", \"B#\"], \"reference_answer\": \"#A #B A# B#\", \"gold_answer\": [\"#A\", \"#B\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 130, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"A#\", \"#A\", \"#B\"], \"reference_answer\": \"#B A#\", \"gold_answer\": [\"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# A# #A #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 131, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"#B\", \"#A\"], \"reference_answer\": \"#A #A #B #A\", \"gold_answer\": [\"#A\", \"#A\", \"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 132, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"B#\", \"A#\", \"B#\"], \"reference_answer\": \"B# B# A# B#\", \"gold_answer\": [\"B#\", \"B#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# B# A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 133, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"#B\", \"#A\", \"B#\"], \"reference_answer\": \"#A B#\", \"gold_answer\": [\"#A\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# #B #A B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 134, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#A\", \"#B\", \"A#\"], \"reference_answer\": \"#A #A #B A#\", \"gold_answer\": [\"#A\", \"#A\", \"#B\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #A #B A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 135, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"A#\", \"#A\", \"B#\"], \"reference_answer\": \"#B B#\", \"gold_answer\": [\"#B\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B A# #A B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 136, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"B#\", \"A#\", \"B#\"], \"reference_answer\": \"#B B# A# B#\", \"gold_answer\": [\"#B\", \"B#\", \"A#\", \"B#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B B# A# B#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 137, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"B#\", \"#B\"], \"reference_answer\": \"#B #A\", \"gold_answer\": [\"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 138, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#A\", \"#B\", \"#A\", \"A#\"], \"reference_answer\": \"#A #B #A A#\", \"gold_answer\": [\"#A\", \"#B\", \"#A\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #A #B #A A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 139, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"#B\", \"#A\", \"#B\", \"#A\"], \"reference_answer\": \"#B #A #B #A\", \"gold_answer\": [\"#B\", \"#A\", \"#B\", \"#A\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: #B #A #B #A\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 140, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"B#\", \"A#\", \"B#\", \"A#\"], \"reference_answer\": \"B# A# B# A#\", \"gold_answer\": [\"B#\", \"A#\", \"B#\", \"A#\"]}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: B# A# B# A#\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
[
"verifiable_problem_z"
]
| [
{
"parameters": "{\"seed\": 141, \"parameter\": {\"N\": 4, \"max_steps\": 10, \"program\": [\"A#\", \"#A\", \"B#\", \"#B\"], \"reference_answer\": \"\", \"gold_answer\": []}, \"answer_markers\": [\"<answer>\", \"</answer>\"], \"passing_reward_threshold\": 1.0, \"rewards\": {\"wrong_format\": -1.0, \"correct_answer\": 1.0, \"wrong_answer\": 0.0}}",
"task_name": "ABProgramSimulation"
}
]
| [
{
"content": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens, e.g., `B# A# #B #A B#`.\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules (whenever two neighbor tokens have their `#` facing each-other, they must be rewritten according to the corresponding rule) :\n+ `A# #A` ... becomes ... `` (nothing)\n+ `A# #B` ... becomes ... `#B A#`\n+ `B# #A` ... becomes ... `#A B#`\n+ `B# #B` ... becomes ... `` (nothing)\n\nPlease give the final state of the program: A# #A B# #B\nAn example for output format: `B# A# A#`\n",
"role": "user"
}
]
|
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