FA-83786 / Card game rule engines / Open access
Nobody may bid every trick · case 01
A bid equal to the hand size is missing.
ROOT CAUSE
The range stops one short.
THE FAILURE
The range stops one short.
Unsuccessful approach: Starting at 1 forbids the zero bid.
Case contract
Input [bids_so_far, players, hand_size]. Bids range 0..hand_size. The last bidder (dealer) may not bid the amount that makes the total of bids equal hand_size. Return the allowed bids ascending.
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):
bids, players, size = x
allowed = list(range(size))
if len(bids) == players - 1:
forbidden = size - sum(bids)
allowed = [b for b in allowed if b != forbidden]
return allowed
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[[[], 3, 4], [0, 1, 2, 3, 4]], [[[1, 1, 1, 0], 5, 1], [0, 1]], [[[2], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[3], 4, 5], [0, 1, 2, 3, 4, 5]], [[[0, 3], 3, 6], [0, 1, 2, 4, 5, 6]], [[[8, 6], 4, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[2, 3], 4, 3], [0, 1, 2, 3]], [[[1, 1], 5, 1], [0, 1]]], [[[[], 3, 5], [0, 1, 2, 3, 4, 5]], [[[0, 3], 3, 6], [0, 1, 2, 4, 5, 6]], [[[0], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 4, 1], [0, 1]], [[[0], 4, 4], [0, 1, 2, 3, 4]], [[[2, 5], 5, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0, 0, 4], 4, 4], [1, 2, 3, 4]]], [[[[1, 1, 1, 0], 5, 1], [0, 1]], [[[0], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0], 3, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[8, 2], 3, 8], [0, 1, 2, 3, 4, 5, 6, 7, 8]], [[[3, 5, 0], 5, 5], [0, 1, 2, 3, 4, 5]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]], [[[], 5, 5], [0, 1, 2, 3, 4, 5]]], [[[[2], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0, 0], 3, 4], [0, 1, 2, 3]], [[[2], 4, 2], [0, 1, 2]], [[[4, 2, 0], 5, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[0], 3, 4], [0, 1, 2, 3, 4]], [[[7], 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 3, 3], [0, 1, 2, 3]], [[[2, 0, 1], 4, 2], [0, 1, 2]]], [[[[8, 6], 4, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]], [[[0, 3], 3, 7], [0, 1, 2, 3, 5, 6, 7]], [[[6, 0], 3, 8], [0, 1, 3, 4, 5, 6, 7, 8]], [[[4, 3, 3], 5, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 5], [0, 1, 2, 3, 4, 5]], [[[2], 5, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]]]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("allowed bids 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 |
|---|---|---|---|
| allowed bids case 0 | [0, 1, 2, 3] | [0, 1, 2, 3, 4] | Failed |
| allowed bids case 1 | [0] | [0, 1] | Failed |
| allowed bids case 2 | [0, 1, 2, 3, 4, 5, 6] | [0, 1, 2, 3, 4, 5, 6, 7] | Failed |
| allowed bids case 3 | [0, 1, 2, 3, 4] | [0, 1, 2, 3, 4, 5] | Failed |
| allowed bids case 4 | [0, 1, 2, 4, 5] | [0, 1, 2, 4, 5, 6] | Failed |
| allowed bids case 5 | [0, 1, 2, 3, 4, 5, 6, 7, 8] | [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] | Failed |
| allowed bids case 6 | [0, 1, 2] | [0, 1, 2, 3] | Failed |
| allowed bids case 7 | [0] | [0, 1] | Failed |
SHA-256 / 2919e2b27561a7fd156d77aa95164857df3a997ebbc5332fca1b91793267750b
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
bids, players, size = x
allowed = list(range(1, size + 1))
if len(bids) == players - 1:
forbidden = size - sum(bids)
allowed = [b for b in allowed if b != forbidden]
return allowed
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[[[[], 3, 4], [0, 1, 2, 3, 4]], [[[1, 1, 1, 0], 5, 1], [0, 1]], [[[2], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[3], 4, 5], [0, 1, 2, 3, 4, 5]], [[[0, 3], 3, 6], [0, 1, 2, 4, 5, 6]], [[[8, 6], 4, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[2, 3], 4, 3], [0, 1, 2, 3]], [[[1, 1], 5, 1], [0, 1]]], [[[[], 3, 5], [0, 1, 2, 3, 4, 5]], [[[0, 3], 3, 6], [0, 1, 2, 4, 5, 6]], [[[0], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 4, 1], [0, 1]], [[[0], 4, 4], [0, 1, 2, 3, 4]], [[[2, 5], 5, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0, 0, 4], 4, 4], [1, 2, 3, 4]]], [[[[1, 1, 1, 0], 5, 1], [0, 1]], [[[0], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0], 3, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[8, 2], 3, 8], [0, 1, 2, 3, 4, 5, 6, 7, 8]], [[[3, 5, 0], 5, 5], [0, 1, 2, 3, 4, 5]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]], [[[], 5, 5], [0, 1, 2, 3, 4, 5]]], [[[[2], 3, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[0, 0], 3, 4], [0, 1, 2, 3]], [[[2], 4, 2], [0, 1, 2]], [[[4, 2, 0], 5, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[0], 3, 4], [0, 1, 2, 3, 4]], [[[7], 3, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 3, 3], [0, 1, 2, 3]], [[[2, 0, 1], 4, 2], [0, 1, 2]]], [[[[8, 6], 4, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]], [[[0, 3], 3, 7], [0, 1, 2, 3, 5, 6, 7]], [[[6, 0], 3, 8], [0, 1, 3, 4, 5, 6, 7, 8]], [[[4, 3, 3], 5, 7], [0, 1, 2, 3, 4, 5, 6, 7]], [[[], 3, 5], [0, 1, 2, 3, 4, 5]], [[[2], 5, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]], [[[], 5, 6], [0, 1, 2, 3, 4, 5, 6]]]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check("allowed bids 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 |
|---|---|---|---|
| allowed bids case 0 | [1, 2, 3, 4] | [0, 1, 2, 3, 4] | Failed |
| allowed bids case 1 | [1] | [0, 1] | Failed |
| allowed bids case 2 | [1, 2, 3, 4, 5, 6, 7] | [0, 1, 2, 3, 4, 5, 6, 7] | Failed |
| allowed bids case 3 | [1, 2, 3, 4, 5] | [0, 1, 2, 3, 4, 5] | Failed |
| allowed bids case 4 | [1, 2, 4, 5, 6] | [0, 1, 2, 4, 5, 6] | Failed |
| allowed bids case 5 | [1, 2, 3, 4, 5, 6, 7, 8, 9] | [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] | Failed |
| allowed bids case 6 | [1, 2, 3] | [0, 1, 2, 3] | Failed |
| allowed bids case 7 | [1] | [0, 1] | Failed |
SHA-256 / 846e7d252d0da66485309a67dbd527a3ff86522b41893b737d68d667e3f4d1d0
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗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 2026-09-29T14:50:24.741269+00:00.
Case digest / 3e6264abd01b2ee06c34a6e760e0ef3af38f94285200de94b217753d09f4cc59