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: ." ) 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"\n{task['think']}\n\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()