File size: 2,883 Bytes
848d4b7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 | #!/usr/bin/env python3
"""
Validator for dts_7_5_min_scope: Minimum-Scope (7,5)-Difference Triangle Set
Expected input:
{
"n": 7,
"k": 5,
"rows": [
[0, ..., ..., ..., ..., ...],
...
(7 rows total)
]
}
Validity:
- n == 7, k == 5
- Each row length == k+1 == 6
- Each row is strictly increasing and starts with 0
- All positive within-row differences are distinct across ALL rows
Metric:
- scope = max entry in the array (minimize)
"""
import argparse
from typing import Any
from . import ValidationResult, load_solution, output_result, success, failure
def validate(sol: Any) -> ValidationResult:
try:
if not isinstance(sol, dict):
return failure("Invalid format: expected dict.")
n = int(sol.get("n", -1))
k = int(sol.get("k", -1))
rows = sol.get("rows", None)
if n != 7 or k != 5:
return failure("This benchmark requires n=7 and k=5 exactly.")
if not isinstance(rows, list) or len(rows) != n:
return failure(f"'rows' must be a list of length {n}.")
# Check rows and collect differences
seen_diffs = set()
scope = 0
for i, row in enumerate(rows):
if not isinstance(row, list) or len(row) != k + 1:
return failure(f"Row {i} must be a list of length {k+1}.")
# Check integers and increasing
try:
r = [int(x) for x in row]
except Exception:
return failure(f"Row {i} contains non-integer values.")
if r[0] != 0:
return failure(f"Row {i} must start with 0 (normalized).")
for j in range(1, k + 1):
if r[j] <= r[j - 1]:
return failure(f"Row {i} must be strictly increasing.")
scope = max(scope, r[-1])
# Positive differences within this row
for a in range(k + 1):
for b in range(a):
d = r[a] - r[b] # positive since increasing and a>b
if d <= 0:
return failure("Non-positive difference encountered (should be impossible).")
if d in seen_diffs:
return failure(f"Duplicate difference {d} found (violates DTS property).")
seen_diffs.add(d)
metrics = {"scope": scope}
return success("Valid (7,5)-DTS.", metrics=metrics)
except Exception as e:
return failure(f"Exception during validation: {e}")
def main():
parser = argparse.ArgumentParser(description="Validate a (7,5)-Difference Triangle Set")
parser.add_argument("solution", help="Solution as JSON string or path to JSON file")
args = parser.parse_args()
sol = load_solution(args.solution)
result = validate(sol)
output_result(result)
if __name__ == "__main__":
main()
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