{"id": "algo_exec_factorial_trace", "code": "Action factorial(n: int): int\nvar\n    result: int\n    i: int\nbegin\n    result <--- 1\n    for (i <--- 1 to n) do\n        result <--- result * i\n    endfor\n    factorial <--- result\nend\nAction main()\nvar\n    r: int\nbegin\n    r <--- factorial(5)\n    print(r)\nend", "category": "execution_trace", "difficulty": "intermediate", "topic": "factorial_trace", "language": "algorim_a47", "description": "Execution trace for factorial_trace", "time_complexity": "varies", "space_complexity": "varies", "tokens": [], "syntax_elements": [], "question": "Run this Algorim program and show the output and execution trace", "answer": "Action factorial(n: int): int\nvar\n    result: int\n    i: int\nbegin\n    result <--- 1\n    for (i <--- 1 to n) do\n        result <--- result * i\n    endfor\n    factorial <--- result\nend\nAction main()\nvar\n    r: int\nbegin\n    r <--- factorial(5)\n    print(r)\nend", "execution_trace": "{\"output\": [\"120\"], \"steps\": 10, \"calls\": {\"main\": 1, \"factorial\": 1}}", "vm_output": ["120"], "vm_steps": 10, "vm_status": "success", "thinking": "<thinking>\nExecute factorial_trace step by step.\nOutput: ['120']\nSteps: 10\n</thinking>", "compiled_output": "// factorial_trace — 10 steps", "commands_used": []}
{"id": "algo_exec_fibonacci_trace", "code": "Action fibonacci(n: int): int\nvar\n    a: int\n    b: int\n    temp: int\n    i: int\nbegin\n    a <--- 0\n    b <--- 1\n    if (n = 0) then\n        fibonacci <--- 0\n    else\n        for (i <--- 2 to n) do\n            temp <--- a + b\n            a    <--- b\n            b    <--- temp\n        endfor\n        fibonacci <--- b\n    endif\nend\nAction main()\nbegin\n    print(fibonacci(8))\nend", "category": "execution_trace", "difficulty": "intermediate", "topic": "fibonacci_trace", "language": "algorim_a47", "description": "Execution trace for fibonacci_trace", "time_complexity": "varies", "space_complexity": "varies", "tokens": [], "syntax_elements": [], "question": "Run this Algorim program and show the output and execution trace", "answer": "Action fibonacci(n: int): int\nvar\n    a: int\n    b: int\n    temp: int\n    i: int\nbegin\n    a <--- 0\n    b <--- 1\n    if (n = 0) then\n        fibonacci <--- 0\n    else\n        for (i <--- 2 to n) do\n            temp <--- a + b\n            a    <--- b\n            b    <--- temp\n        endfor\n        fibonacci <--- b\n    endif\nend\nAction main()\nbegin\n    print(fibonacci(8))\nend", "execution_trace": "{\"output\": [\"21\"], \"steps\": 27, \"calls\": {\"main\": 1, \"fibonacci\": 1}}", "vm_output": ["21"], "vm_steps": 27, "vm_status": "success", "thinking": "<thinking>\nExecute fibonacci_trace step by step.\nOutput: ['21']\nSteps: 27\n</thinking>", "compiled_output": "// fibonacci_trace — 27 steps", "commands_used": []}
{"id": "algo_exec_array_sum", "code": "Action array_sum(n: int): int\nvar\n    total: int\n    i: int\nbegin\n    total <--- 0\n    for (i <--- 1 to n) do\n        total <--- total + i\n    endfor\n    array_sum <--- total\nend\nAction main()\nbegin\n    print(array_sum(10))\nend", "category": "execution_trace", "difficulty": "intermediate", "topic": "array_sum", "language": "algorim_a47", "description": "Execution trace for array_sum", "time_complexity": "varies", "space_complexity": "varies", "tokens": [], "syntax_elements": [], "question": "Run this Algorim program and show the output and execution trace", "answer": "Action array_sum(n: int): int\nvar\n    total: int\n    i: int\nbegin\n    total <--- 0\n    for (i <--- 1 to n) do\n        total <--- total + i\n    endfor\n    array_sum <--- total\nend\nAction main()\nbegin\n    print(array_sum(10))\nend", "execution_trace": "{\"output\": [\"55\"], \"steps\": 14, \"calls\": {\"main\": 1, \"array_sum\": 1}}", "vm_output": ["55"], "vm_steps": 14, "vm_status": "success", "thinking": "<thinking>\nExecute array_sum step by step.\nOutput: ['55']\nSteps: 14\n</thinking>", "compiled_output": "// array_sum — 14 steps", "commands_used": []}