#!/usr/bin/env python3
import json, math, sys
from pathlib import Path

RULES = {"jarzynski_second_cumulant_dG_kBT":{"target":42.5,"kind":"real","rel_tol":0.002,"abs_tol":0.001},"mean_forward_dissipated_work_kBT":{"target":9.8,"kind":"pos","rel_tol":0.002,"abs_tol":0.001},"density_crossing_work_W_star_kBT":{"target":41.227372,"kind":"real","rel_tol":0.002,"abs_tol":0.001},"bhattacharyya_overlap_integral":{"target":0.012901,"kind":"prob","rel_tol":0.002,"abs_tol":0.0001},"transient_violation_probability":{"target":0.000844,"kind":"prob","rel_tol":0.002,"abs_tol":0.0001}}

def _check_val(v, r):
    if isinstance(v, bool) or not isinstance(v, (int, float)):
        return False
    fv = float(v)
    if not math.isfinite(fv):
        return False
    kind = r["kind"]
    if kind == "int_nonneg":
        return fv >= 0.0 and abs(fv - round(fv)) < 1e-9 and int(round(fv)) == int(r["target"])
    if kind == "prob" and (fv < -1e-6 or fv > 1.0 + 1e-6):
        return False
    if kind == "pos" and fv <= 0.0:
        return False
    if kind == "nonneg" and fv < -1e-6:
        return False
    return math.isclose(fv, float(r["target"]), rel_tol=float(r["rel_tol"]), abs_tol=float(r["abs_tol"]))

def verify(candidate):
    if isinstance(candidate, (str, Path)):
        candidate = json.loads(Path(candidate).read_text(encoding="utf-8"))
    if not isinstance(candidate, dict):
        return False, list(RULES.keys())
    errors = []
    for k, r in RULES.items():
        if k not in candidate or not _check_val(candidate[k], r):
            errors.append(k)
    return len(errors) == 0, errors


# Portable JSON command-line adapter; numerical verification above is unchanged.
def evaluate_file(candidate_path):
    from pathlib import Path as _Path
    try:
        _path = _Path(candidate_path)
        if not _path.is_file():
            raise ValueError("missing_candidate_file")
        if _path.stat().st_size > 1048576:
            raise ValueError("candidate_exceeds_size_limit")
        _passed, _errors = verify(_path)
        _reward = round((len(RULES) - len(_errors)) / float(len(RULES)), 4)
        return {"passed": bool(_passed), "reward": float(_reward), "errors": _errors}
    except (OSError, ValueError, TypeError, OverflowError) as _exc:
        return {"passed": False, "reward": 0.0, "errors": ["invalid_candidate:" + str(_exc)]}


if __name__ == "__main__":
    from pathlib import Path as _Path
    _answer = sys.argv[1] if len(sys.argv) > 1 else _Path(__file__).resolve().parent / "solution" / "solution.json"
    _result = evaluate_file(_answer)
    print(json.dumps(_result, ensure_ascii=False))
    raise SystemExit(0 if _result["passed"] else 1)