| |
| """ |
| 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": <int>, "y": <int>, "z": <int>} |
| 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() |
|
|
