#!/usr/bin/env python3 """ Validator for problem 093: Sum of Three Cubes for n = 627 Validates that integers x, y, z satisfy x³ + y³ + z³ = 627. Expected input format: {"x": , "y": , "z": } or [x, y, z] """ import argparse from typing import Any from . import ValidationResult, load_solution, parse_integer, output_result, success, failure TARGET = 627 def validate(solution: Any) -> ValidationResult: """ Validate that the solution satisfies x³ + y³ + z³ = 627. Args: solution: Dict with keys x, y, z or list [x, y, z] Returns: ValidationResult with success/failure and computed sum """ try: if isinstance(solution, dict): x = parse_integer(solution['x']) y = parse_integer(solution['y']) z = parse_integer(solution['z']) elif isinstance(solution, (list, tuple)) and len(solution) == 3: x, y, z = [parse_integer(v) for v in solution] else: return failure(f"Invalid solution format: expected dict or list of 3 integers") except (KeyError, ValueError, TypeError) as e: return failure(f"Failed to parse solution: {e}") result = x**3 + y**3 + z**3 if result == TARGET: return success( f"Verified: ({x})³ + ({y})³ + ({z})³ = {TARGET}", x=str(x), y=str(y), z=str(z), sum=TARGET ) else: return failure( f"Failed: ({x})³ + ({y})³ + ({z})³ = {result} ≠ {TARGET}", x=str(x), y=str(y), z=str(z), computed_sum=result, target=TARGET ) def main(): parser = argparse.ArgumentParser(description='Validate solution for sum of three cubes = 627') parser.add_argument('solution', help='Solution as JSON string or path to JSON file') parser.add_argument('--verbose', '-v', action='store_true', help='Verbose output') args = parser.parse_args() solution = load_solution(args.solution) result = validate(solution) output_result(result) if __name__ == '__main__': main()