FA-83741 / Card game rule engines / Open access
Same-rank plays cannot beat each other by suit · case 01
5S cannot be played over 5D.
ROOT CAUSE
The comparison key ignores suits.
VERIFIED REPAIR
Break rank ties by suit D<C<H<S.
Unsuccessful approach: Alphabetical suit order puts clubs below diamonds.
Case contract
Input [current_combination, play]. Ranks 3 low to 2 high; suits D<C<H<S. A play is 1-3 cards of one rank. On an empty table any valid play is "ok"; otherwise it must have the same size and its highest card must outrank the current highest card (rank, then suit). Empty play is "pass". Return "ok", "invalid" or "pass".
Why this case matters
Card-game engines, scoring apps and online tables apply this rule automatically on every hand.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
cur, play = x
order = '3456789TJQKA2'
suits = 'DCHS'
def key(c):
return order.index(c[0])
if not play:
return 'pass'
if len(set(c[0] for c in play)) != 1 or len(play) > 3:
return 'invalid'
if not cur:
return 'ok'
if len(play) != len(cur):
return 'invalid'
if max(key(c) for c in play) > max(key(c) for c in cur):
return 'ok'
return 'invalid'
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[[[], ['KD']], 'ok'], [[['KC', 'KD'], ['KH', 'KS']], 'ok'], [[['8S', '8C', '8H'], ['KD', 'KC', 'KS']], 'ok'], [[['6S'], ['6H']], 'invalid'], [[['9C'], ['6S']], 'invalid'], [[[], ['3H', '3S', '3C']], 'ok'], [[['7D'], ['7S']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['8D', '8H'], ['8S', '8D', '8H', '8C']], 'invalid'], [[['AS'], ['AH', 'AC', 'AD']], 'invalid'], [[[], ['3C']], 'ok'], [[['QD'], ['QH']], 'ok'], [[['JD', 'JS'], ['TD', 'TS', 'TC', 'TH']], 'invalid'], [[['9S', '9H'], ['8S', '8C']], 'invalid'], [[['3C', '3H'], ['3S', '3D']], 'ok'], [[['KC'], ['KD']], 'invalid']], [[[['9D', '9C'], ['9D', '9C']], 'invalid'], [[['KD'], ['AH']], 'ok'], [[[], ['KS', 'KD']], 'ok'], [[['JC'], ['7C']], 'invalid'], [[['5S'], ['5H']], 'invalid'], [[['2S'], ['5D']], 'invalid'], [[['2H'], ['2S']], 'ok'], [[['5C'], ['5D']], 'invalid']], [[[['JH', 'JC'], ['JC', 'JS']], 'ok'], [[['7C'], ['2D']], 'ok'], [[['2H'], ['2H']], 'invalid'], [[['TH', 'TD'], ['8D', '2S']], 'invalid'], [[['5H', '5D'], ['JS', 'JC']], 'ok'], [[[], ['QC', 'QH']], 'ok'], [[['TD'], ['TS']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['6C', '6H'], ['AH', '4D']], 'invalid'], [[['3D', '3H', '3C'], ['3S', '3D', '3H', 'AC']], 'invalid'], [[['5S'], ['3S']], 'invalid'], [[['9C'], ['9C']], 'invalid'], [[['7C', '7S', '7D'], ['3D', '3S', '3C']], 'invalid'], [[['3H', '3C'], ['3D', '3C', '3S', '3H']], 'invalid'], [[['9D', '9H', '9C'], ['9D', '9H', '9S']], 'ok'], [[['8D'], ['8C']], 'ok']]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("play case %d" % i, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| play case 0 | ok | ok | Passed |
| play case 1 | invalid | ok | Failed |
| play case 2 | ok | ok | Passed |
| play case 3 | invalid | invalid | Passed |
| play case 4 | invalid | invalid | Passed |
| play case 5 | ok | ok | Passed |
| play case 6 | invalid | ok | Failed |
| play case 7 | invalid | invalid | Passed |
SHA-256 / a0ae6016fe35b453291c9475fd3e7f74d845b325014cff30320f8c0a45284013
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
cur, play = x
order = '3456789TJQKA2'
suits = 'CDHS'
def key(c):
return (order.index(c[0]), suits.index(c[1]))
if not play:
return 'pass'
if len(set(c[0] for c in play)) != 1 or len(play) > 3:
return 'invalid'
if not cur:
return 'ok'
if len(play) != len(cur):
return 'invalid'
if max(key(c) for c in play) > max(key(c) for c in cur):
return 'ok'
return 'invalid'
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[[[], ['KD']], 'ok'], [[['KC', 'KD'], ['KH', 'KS']], 'ok'], [[['8S', '8C', '8H'], ['KD', 'KC', 'KS']], 'ok'], [[['6S'], ['6H']], 'invalid'], [[['9C'], ['6S']], 'invalid'], [[[], ['3H', '3S', '3C']], 'ok'], [[['7D'], ['7S']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['8D', '8H'], ['8S', '8D', '8H', '8C']], 'invalid'], [[['AS'], ['AH', 'AC', 'AD']], 'invalid'], [[[], ['3C']], 'ok'], [[['QD'], ['QH']], 'ok'], [[['JD', 'JS'], ['TD', 'TS', 'TC', 'TH']], 'invalid'], [[['9S', '9H'], ['8S', '8C']], 'invalid'], [[['3C', '3H'], ['3S', '3D']], 'ok'], [[['KC'], ['KD']], 'invalid']], [[[['9D', '9C'], ['9D', '9C']], 'invalid'], [[['KD'], ['AH']], 'ok'], [[[], ['KS', 'KD']], 'ok'], [[['JC'], ['7C']], 'invalid'], [[['5S'], ['5H']], 'invalid'], [[['2S'], ['5D']], 'invalid'], [[['2H'], ['2S']], 'ok'], [[['5C'], ['5D']], 'invalid']], [[[['JH', 'JC'], ['JC', 'JS']], 'ok'], [[['7C'], ['2D']], 'ok'], [[['2H'], ['2H']], 'invalid'], [[['TH', 'TD'], ['8D', '2S']], 'invalid'], [[['5H', '5D'], ['JS', 'JC']], 'ok'], [[[], ['QC', 'QH']], 'ok'], [[['TD'], ['TS']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['6C', '6H'], ['AH', '4D']], 'invalid'], [[['3D', '3H', '3C'], ['3S', '3D', '3H', 'AC']], 'invalid'], [[['5S'], ['3S']], 'invalid'], [[['9C'], ['9C']], 'invalid'], [[['7C', '7S', '7D'], ['3D', '3S', '3C']], 'invalid'], [[['3H', '3C'], ['3D', '3C', '3S', '3H']], 'invalid'], [[['9D', '9H', '9C'], ['9D', '9H', '9S']], 'ok'], [[['8D'], ['8C']], 'ok']]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("play case %d" % i, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| play case 0 | ok | ok | Passed |
| play case 1 | ok | ok | Passed |
| play case 2 | ok | ok | Passed |
| play case 3 | invalid | invalid | Passed |
| play case 4 | invalid | invalid | Passed |
| play case 5 | ok | ok | Passed |
| play case 6 | ok | ok | Passed |
| play case 7 | ok | invalid | Failed |
SHA-256 / 6932d6b7f88891cc6da012ee7c2d8c8bea029ba4b5c2f718ef4816e18cba2a9a
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
cur, play = x
order = '3456789TJQKA2'
suits = 'DCHS'
def key(c):
return (order.index(c[0]), suits.index(c[1]))
if not play:
return 'pass'
if len(set(c[0] for c in play)) != 1 or len(play) > 3:
return 'invalid'
if not cur:
return 'ok'
if len(play) != len(cur):
return 'invalid'
if max(key(c) for c in play) > max(key(c) for c in cur):
return 'ok'
return 'invalid'
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[[[], ['KD']], 'ok'], [[['KC', 'KD'], ['KH', 'KS']], 'ok'], [[['8S', '8C', '8H'], ['KD', 'KC', 'KS']], 'ok'], [[['6S'], ['6H']], 'invalid'], [[['9C'], ['6S']], 'invalid'], [[[], ['3H', '3S', '3C']], 'ok'], [[['7D'], ['7S']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['8D', '8H'], ['8S', '8D', '8H', '8C']], 'invalid'], [[['AS'], ['AH', 'AC', 'AD']], 'invalid'], [[[], ['3C']], 'ok'], [[['QD'], ['QH']], 'ok'], [[['JD', 'JS'], ['TD', 'TS', 'TC', 'TH']], 'invalid'], [[['9S', '9H'], ['8S', '8C']], 'invalid'], [[['3C', '3H'], ['3S', '3D']], 'ok'], [[['KC'], ['KD']], 'invalid']], [[[['9D', '9C'], ['9D', '9C']], 'invalid'], [[['KD'], ['AH']], 'ok'], [[[], ['KS', 'KD']], 'ok'], [[['JC'], ['7C']], 'invalid'], [[['5S'], ['5H']], 'invalid'], [[['2S'], ['5D']], 'invalid'], [[['2H'], ['2S']], 'ok'], [[['5C'], ['5D']], 'invalid']], [[[['JH', 'JC'], ['JC', 'JS']], 'ok'], [[['7C'], ['2D']], 'ok'], [[['2H'], ['2H']], 'invalid'], [[['TH', 'TD'], ['8D', '2S']], 'invalid'], [[['5H', '5D'], ['JS', 'JC']], 'ok'], [[[], ['QC', 'QH']], 'ok'], [[['TD'], ['TS']], 'ok'], [[['9C'], ['9D']], 'invalid']], [[[['6C', '6H'], ['AH', '4D']], 'invalid'], [[['3D', '3H', '3C'], ['3S', '3D', '3H', 'AC']], 'invalid'], [[['5S'], ['3S']], 'invalid'], [[['9C'], ['9C']], 'invalid'], [[['7C', '7S', '7D'], ['3D', '3S', '3C']], 'invalid'], [[['3H', '3C'], ['3D', '3C', '3S', '3H']], 'invalid'], [[['9D', '9H', '9C'], ['9D', '9H', '9S']], 'ok'], [[['8D'], ['8C']], 'ok']]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("play case %d" % i, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| play case 0 | ok | ok | Passed |
| play case 1 | ok | ok | Passed |
| play case 2 | ok | ok | Passed |
| play case 3 | invalid | invalid | Passed |
| play case 4 | invalid | invalid | Passed |
| play case 5 | ok | ok | Passed |
| play case 6 | ok | ok | Passed |
| play case 7 | invalid | invalid | Passed |
SHA-256 / 331ad83e34e8f386b63d8f2a9b472acc3a79324c9fded1044a5a8dde4bf7eb1b
Verification & scope
A bounded toy rule contract stated explicitly in the contract field; cards are two-character codes (rank, suit). Not a complete implementation of any published rulebook or casino table rules. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:50:24.536146+00:00.
Case digest / 17d046ee1754bac07e25ad1960a2312415e9cb6b87e058d40b0ab7f93af9b878