FA-82821 / Chess move legality / Open access
Moved piece left behind on its origin · case 01
A knight that moved from g1 can move from g1 again.
ROOT CAUSE
The origin square is not cleared when the piece moves.
THE FAILURE
The origin square is not cleared when the piece moves.
Unsuccessful approach: setdefault keeps a captured piece on the destination instead of replacing it.
Case contract
Input: {"board", "turn": "w" or "b", "moves": [[from, to], ...]}. Replay the moves; return the index of the first move that starts from an empty square, moves a piece of the side not to move, or lands on a piece of its own colour; return -1 if all pass. Each move replaces any piece on the destination and passes the turn.
Why this case matters
Game servers must reject out-of-turn and self-capturing moves in submitted move lists.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
b=dict(x['board']); white=x['turn']=='w'
for i,(fr,to) in enumerate(x['moves']):
p=b.get(fr)
if p is None or p.isupper()!=white: return i
q=b.get(to)
if q is not None and q.isupper()==white: return i
b[to]=p
white=not white
return -1
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('empty origin', {'board': {'e1': 'K', 'e8': 'k'}, 'moves': [['e2', 'e4']], 'turn': 'w'}, 0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('black captures own',
{'board': {'d8': 'q', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e3'], ['d8', 'e7']],
'turn': 'w'},
1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('empty origin', {'board': {'e1': 'K', 'e8': 'k'}, 'moves': [['e2', 'e4']], 'turn': 'w'}, 0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('black captures own',
{'board': {'d8': 'q', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e3'], ['d8', 'e7']],
'turn': 'w'},
1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)]]
for label, args, expected in fixtures[N-1]:
try:
actual = solve(args)
except Exception as exc:
actual = 'error:' + type(exc).__name__
check(label, actual, 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 |
|---|---|---|---|
| clean sequence | -1 | -1 | Passed |
| white moves twice | 1 | 1 | Passed |
| black to start | -1 | -1 | Passed |
| captured piece moves | 1 | 1 | Passed |
| capture own piece | 0 | 0 | Passed |
| vacated square reused | -1 | 2 | Failed |
| capture then recapture | -1 | -1 | Passed |
| four clean moves | 2 | -1 | Failed |
SHA-256 / f162673b039bd9706cb5e05639a73447c08ed2a79aec466941c7e3ebefb50748
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
b=dict(x['board']); white=x['turn']=='w'
for i,(fr,to) in enumerate(x['moves']):
p=b.get(fr)
if p is None or p.isupper()!=white: return i
q=b.get(to)
if q is not None and q.isupper()==white: return i
del b[fr]
b.setdefault(to,p)
white=not white
return -1
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('empty origin', {'board': {'e1': 'K', 'e8': 'k'}, 'moves': [['e2', 'e4']], 'turn': 'w'}, 0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('black captures own',
{'board': {'d8': 'q', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e3'], ['d8', 'e7']],
'turn': 'w'},
1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('clean sequence',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['e7', 'e5']],
'turn': 'w'},
-1),
('white moves twice',
{'board': {'d2': 'P', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e4'], ['d2', 'd4']],
'turn': 'w'},
1),
('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)],
[('black to start',
{'board': {'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e7', 'e5'], ['e2', 'e4']],
'turn': 'b'},
-1),
('captured piece moves',
{'board': {'d1': 'Q', 'd8': 'q', 'e1': 'K', 'e8': 'k'},
'moves': [['d1', 'd8'], ['d8', 'd1']],
'turn': 'w'},
1),
('capture own piece',
{'board': {'d1': 'Q', 'd2': 'P', 'e1': 'K', 'e8': 'k'}, 'moves': [['d1', 'd2']], 'turn': 'w'},
0),
('empty origin', {'board': {'e1': 'K', 'e8': 'k'}, 'moves': [['e2', 'e4']], 'turn': 'w'}, 0),
('vacated square reused',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['g1', 'h3']],
'turn': 'w'},
2),
('capture then recapture',
{'board': {'d5': 'p', 'd8': 'q', 'e1': 'K', 'e4': 'P', 'e8': 'k'},
'moves': [['e4', 'd5'], ['d8', 'd5']],
'turn': 'w'},
-1),
('black captures own',
{'board': {'d8': 'q', 'e1': 'K', 'e2': 'P', 'e7': 'p', 'e8': 'k'},
'moves': [['e2', 'e3'], ['d8', 'e7']],
'turn': 'w'},
1),
('four clean moves',
{'board': {'e1': 'K', 'e8': 'k', 'g1': 'N', 'g8': 'n'},
'moves': [['g1', 'f3'], ['g8', 'f6'], ['f3', 'g1'], ['f6', 'g8']],
'turn': 'w'},
-1)]]
for label, args, expected in fixtures[N-1]:
try:
actual = solve(args)
except Exception as exc:
actual = 'error:' + type(exc).__name__
check(label, actual, 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 |
|---|---|---|---|
| clean sequence | -1 | -1 | Passed |
| white moves twice | 1 | 1 | Passed |
| black to start | -1 | -1 | Passed |
| captured piece moves | -1 | 1 | Failed |
| capture own piece | 0 | 0 | Passed |
| vacated square reused | 2 | 2 | Passed |
| capture then recapture | 1 | -1 | Failed |
| four clean moves | -1 | -1 | Passed |
SHA-256 / 7bcfcfe3d033d851ac8882850a913fc6166f931370ef76cdc489f7a8ce173005
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 deterministic toy model with an explicitly stated contract; boards are {square: piece} with white upper-case and black lower-case pieces; no claim of full FIDE Laws conformance. 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 2026-09-29T14:50:15.772974+00:00.
Case digest / c010170ccb3a72635fc02b6070aad59994ad3f57db14fddeb99cf0b12499c7aa