scripts/make_pseudocode_thinking_dataset.py

from __future__ import annotations

import argparse
import json
import random
from pathlib import Path


SYSTEM_PROMPT = (
    "Solve exact-answer reasoning problems. "
    "Inside the think block, reason in pseudocode only. "
    "Do not use English prose inside the think block. "
    "After thinking, end with exactly one line formatted as ANSWER: <answer>."
)


USER_INSTRUCTION = (
    "Inside the think block, reason in pseudocode only. "
    "Do not use English prose inside the think block. "
    "Prefer lines like `x = 51`, `x = x + 34`, `state -> x = 85`."
)


def parse_args() -> argparse.Namespace:
    parser = argparse.ArgumentParser()
    parser.add_argument("--output-dir", required=True)
    parser.add_argument("--train", type=int, default=2000)
    parser.add_argument("--valid", type=int, default=200)
    parser.add_argument("--test", type=int, default=200)
    parser.add_argument("--seed", type=int, default=20260406)
    return parser.parse_args()


def make_arithmetic_task(rng: random.Random, task_id: str) -> dict[str, str]:
    a = rng.randint(14, 49)
    b = rng.randint(5, 17)
    c = rng.randint(3, 11)
    d = rng.randint(2, 9)
    e = rng.randint(6, 15)
    start = rng.randint(20, 80)
    s1 = start + a
    s2 = s1 + b
    s3 = s2 * c
    sub = d * e
    answer = s3 - sub
    prompt = (
        f"Start with {start}. Add {a}. Add {b}. Multiply the result by {c}. "
        f"Subtract {d} times {e}. What number do you get?"
    )
    think = "\n".join(
        [
            f"x = {start}",
            f"x = x + {a} -> {s1}",
            f"x = x + {b} -> {s2}",
            f"x = x * {c} -> {s3}",
            f"y = {d} * {e} -> {sub}",
            f"x = x - y -> {answer}",
        ]
    )
    return {"id": task_id, "kind": "arithmetic", "prompt": prompt, "answer": str(answer), "think": think}


def make_state_task(rng: random.Random, task_id: str) -> dict[str, str]:
    base_x = rng.randint(2, 8)
    base_y = rng.randint(3, 9)
    base_z = rng.randint(4, 10)
    x = base_x
    y = base_y
    z = base_z
    steps: list[str] = [
        f"x = {base_x}",
        f"y = {base_y}",
        f"z = {base_z}",
    ]

    x = x + y
    steps.append(f"x = x + y -> {x}")
    y = y * 2
    steps.append(f"y = y * 2 -> {y}")
    z = z + x - 1
    steps.append(f"z = z + x - 1 -> {z}")
    x = x * z
    steps.append(f"x = x * z -> {x}")
    y = y + z
    steps.append(f"y = y + z -> {y}")
    answer = x - y
    steps.append(f"result = x - y -> {answer}")

    prompt = (
        "Run this exact program and report the final value of x - y.\n\n"
        f"x = {base_x}\n"
        f"y = {base_y}\n"
        f"z = {base_z}\n"
        "x = x + y\n"
        "y = y * 2\n"
        "z = z + x - 1\n"
        "x = x * z\n"
        "y = y + z"
    )
    think = "\n".join(steps)
    return {"id": task_id, "kind": "state", "prompt": prompt, "answer": str(answer), "think": think}


def make_task(rng: random.Random, task_id: str) -> dict[str, str]:
    if rng.random() < 0.5:
        return make_arithmetic_task(rng, task_id)
    return make_state_task(rng, task_id)


def make_record(task: dict[str, str]) -> dict:
    assistant = f"<think>\n{task['think']}\n</think>\n\nANSWER: {task['answer']}"
    user = f"{USER_INSTRUCTION}\n\nProblem:\n{task['prompt']}"
    return {
        "messages": [
            {"role": "system", "content": SYSTEM_PROMPT},
            {"role": "user", "content": user},
            {"role": "assistant", "content": assistant},
        ]
    }


def write_split(path: Path, count: int, seed: int) -> None:
    rng = random.Random(seed)
    with path.open("w", encoding="utf-8") as handle:
        for index in range(count):
            task = make_task(rng, f"{path.stem}-{index:05d}")
            handle.write(json.dumps(make_record(task)) + "\n")


def main() -> None:
    args = parse_args()
    output_dir = Path(args.output_dir)
    output_dir.mkdir(parents=True, exist_ok=False)
    write_split(output_dir / "train.jsonl", args.train, args.seed)
    write_split(output_dir / "valid.jsonl", args.valid, args.seed + 1)
    write_split(output_dir / "test.jsonl", args.test, args.seed + 2)


if __name__ == "__main__":
    main()