FA-83926 / Sports scoring and tiebreakers / Open access
Volleyball set capped like badminton · case 01
A set is closed at 25-24 or at a 27-26 cap instead of continuing until a two-point lead.
ROOT CAUSE
The set completion test only requires a one-point lead.
VERIFIED REPAIR
Require a two-point lead with no cap.
Unsuccessful approach: Adding a two-points-over-target cap closes 27-26 sets that must continue.
Case contract
Best-of-five volleyball with rally scoring. rallies is a string of rally winners (A/B). Sets 1-4 are played to 25 and set 5 to 15, always win by two with no cap. The rally winner serves next; when the receiving team wins a rally (side-out) that team rotates once (rotation counter modulo 6). At the start of each set both rotation counters reset to 0 and the first server is first_serve in odd-numbered sets and the other team in even-numbered sets. Return [completed and current set scores as [a, b], match winner or None, rotation counters].
Why this case matters
Scoresheet apps track rotations to flag out-of-rotation faults and must reset them each set.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rallies, first_serve):
won = {'A': 0, 'B': 0}
sets = []
a = b = 0
set_index = 0
server = first_serve
rot = {'A': 0, 'B': 0}
for r in rallies:
if r == 'A':
a += 1
else:
b += 1
if r != server:
rot[r] = (rot[r] + 1) % 6
server = r
target = 15 if set_index == 4 else 25
if max(a, b) >= target and abs(a - b) >= 1:
w = 'A' if a > b else 'B'
won[w] += 1
sets.append([a, b])
if won[w] == 3:
return [sets, w, rot]
a = b = 0
set_index += 1
rot = {'A': 0, 'B': 0}
server = first_serve if set_index % 2 == 0 else ('B' if first_serve == 'A' else 'A')
return [sets + ([[a, b]] if a or b else []), None, rot]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
def run(args):
try:
return solve(*args)
except Exception as exc:
return 'raised ' + type(exc).__name__
cases = [[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABBBAABAAABAAABAABABBABAABBABBBBAAAABBBABBBAABABBAABAAAAAABBABBABAAAABBAAAABBBBAAABAABBBAB',
'A'),
[[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('AABBBAABAABAAAAABAABBABBBBBBAABBBBAAAAAAABABABBBBBABBBBBABAAABABABAAABBABAABABBAAABAABABBAA',
'B'),
[[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}]),
('variant scenario 2',
('AAAABBBBBBABABABABAAAABAABAABBBAAAAABAAABAABBAAABAAABBAAABBABBAAAAA', 'A'),
[[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('BAAABBBAAABABABBAABABAAAAABBBBABABBBAAABABBABBBAABAAAAAAAAAAAABBAABAAAA', 'A'),
[[[27, 25], [16, 3]], None, {'A': 3, 'B': 2}]),
('regression: win by two without cap',
('BAAAAABAABBABABAABBAAAABAAAABAAAABBAABBABBABAAAAABBBBBBAABBAABAABBAAABBBAAABBBAAAABBAABABAAABABABBAAAAAABABABA',
'B'),
[[[25, 12], [28, 26], [12, 7]], None, {'A': 1, 'B': 0}]),
('variant scenario 1',
('ABAABBBAAAAABAABBAAAABBBAAAABABAABAAAAAAABBAABBAAAAAAABA', 'B'),
[[[25, 13], [13, 5]], None, {'A': 3, 'B': 3}]),
('variant scenario 2',
('ABBAABBABBAAABAAAABBABABAAABABBAABBAAABBABAAABABAAABABABAAAAAABBBABBBABBABBAAAABBABAABAABBAAAAABBABBBABAABAAABBABBBBBBABBAABBAAAAABABAAABAAA',
'A'),
[[[25, 19], [25, 19], [25, 23]], 'A', {'A': 5, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('ABBAABAAAAAAAABBBBABBBBBBAAABBAAAAAAABAABBBBABAABBBAAAAAAAAAAABBABBBBABAAABABABAAAABABBBAAAAABAABABABAAAAAABABBAABBBBAAABABBBBBAAAAB',
'A'),
[[[25, 20], [25, 15], [25, 20]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('AAAAABAAAAAAABAAAAAABABAABAAAAAAABAAABAAAAABBABABBAABAABABABABBBBABAABAAABAABAAAABABAAAAABBBBBBABAAAAAABABAAAABBAAAA',
'A'),
[[[25, 5], [25, 17], [25, 13]], 'A', {'A': 2, 'B': 2}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABAAAABBBBBBAAAAABABABABBABBAABAAAABBBAAAABAAAAABAAABAABBAAABAAAAABAAAAAABAABABBABBABAAAAABBBAAABBBAABABAAABBABBBABABABBAAABABBBABAABABA',
'A'),
[[[25, 19], [25, 7], [25, 27], [5, 3]], None, {'A': 4, 'B': 3}]),
('regression: win by two without cap',
('AAAAAABBAABBAAABABABAABAABAAAABBBBBBABBABABBAAAABBAABAAABAAABAAAABBBBAABABABABBAAAAAAABABABAAABBBBBBBAAAABBABBABABBBABAABAAABBAABABAABABAAAABAAAAAABABA',
'A'),
[[[25, 20], [25, 14], [28, 26]], 'A', {'A': 3, 'B': 3}]),
('variant scenario 1',
('ABBBAAABAABBAABAABAABABBABBAAABBBBAABAAABAABBAABBAAABBAABBAB', 'A'),
[[[25, 21], [7, 7]], None, {'A': 4, 'B': 4}]),
('variant scenario 2',
('BAAAABBAAABBAAAAAAAAABABABABBBBAAABBABABBBAAABAAABAABABAABAABBBBBBABBBAAAABAAAAAAAABBABABABBBABAAAAABABABABAAABAABABAAAAAAABAABAABAAAAAABABBBABBBBAAAABAAAAAAAABBABABAAAAABABB',
'A'),
[[[25, 18], [25, 15], [25, 15]], 'A', {'A': 0, 'B': 0}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('BAAAAAABABBABABABBABBBABABAAAABABABBBABABBABAABABAAAAAABBBBAAAAAABAAABAABABAAABBBBBABBBBABBBAABABABAAAAABABBBABBAAAABAAAAAABBBAAABABAABABAAAABAAAABBABAAAAAAAAAABBABBAAABBAAABBAAABAAAAABABAAAAAABBABAABAABBABAAAA',
'A'),
[[[25, 23], [25, 21], [25, 15]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('ABAAAAAAABAABAAABABAAABAAAAABBAAABAABBBBAAABAABAAAABAABBABABABAAAAAAAAAABAAAABAAABBBAABBAABAAAAAABAAAAAABAAAABABBBAAAABBAAABAAABAAAABBBABAAAABABBBAAB',
'B'),
[[[25, 8], [25, 13], [25, 10]], 'A', {'A': 2, 'B': 1}])]]
for label, args, expected in cases[N - 1]:
check(label, run(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 |
|---|---|---|---|
| control first rally held by server | [[[1, 0]], None, {'A': 0, 'B': 0}] | [[[1, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary side-out rotates receiver | [[[0, 1]], None, {'A': 0, 'B': 1}] | [[[0, 1]], None, {'A': 0, 'B': 1}] | Passed |
| control clean set | [[[25, 0]], None, {'A': 0, 'B': 0}] | [[[25, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary second set served by other team | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | Passed |
| boundary deuce in set | [[[25, 24], [1, 0]], None, {'A': 1, 'B': 0}] | [[[26, 24]], None, {'A': 0, 'B': 0}] | Failed |
| control straight-sets match | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | Passed |
| regression: win by two without cap | [[[24, 25], [24, 17]], None, {'A': 3, 'B': 3}] | [[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}] | Failed |
| variant scenario 1 | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | Passed |
| variant scenario 2 | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | Passed |
SHA-256 / 88e9d5ed93fcee908793db8b27d3cdc0abd39847ef104e18d5035349a327058a
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rallies, first_serve):
won = {'A': 0, 'B': 0}
sets = []
a = b = 0
set_index = 0
server = first_serve
rot = {'A': 0, 'B': 0}
for r in rallies:
if r == 'A':
a += 1
else:
b += 1
if r != server:
rot[r] = (rot[r] + 1) % 6
server = r
target = 15 if set_index == 4 else 25
if max(a, b) >= target and (abs(a - b) >= 2 or max(a, b) >= target + 2):
w = 'A' if a > b else 'B'
won[w] += 1
sets.append([a, b])
if won[w] == 3:
return [sets, w, rot]
a = b = 0
set_index += 1
rot = {'A': 0, 'B': 0}
server = first_serve if set_index % 2 == 0 else ('B' if first_serve == 'A' else 'A')
return [sets + ([[a, b]] if a or b else []), None, rot]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
def run(args):
try:
return solve(*args)
except Exception as exc:
return 'raised ' + type(exc).__name__
cases = [[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABBBAABAAABAAABAABABBABAABBABBBBAAAABBBABBBAABABBAABAAAAAABBABBABAAAABBAAAABBBBAAABAABBBAB',
'A'),
[[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('AABBBAABAABAAAAABAABBABBBBBBAABBBBAAAAAAABABABBBBBABBBBBABAAABABABAAABBABAABABBAAABAABABBAA',
'B'),
[[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}]),
('variant scenario 2',
('AAAABBBBBBABABABABAAAABAABAABBBAAAAABAAABAABBAAABAAABBAAABBABBAAAAA', 'A'),
[[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('BAAABBBAAABABABBAABABAAAAABBBBABABBBAAABABBABBBAABAAAAAAAAAAAABBAABAAAA', 'A'),
[[[27, 25], [16, 3]], None, {'A': 3, 'B': 2}]),
('regression: win by two without cap',
('BAAAAABAABBABABAABBAAAABAAAABAAAABBAABBABBABAAAAABBBBBBAABBAABAABBAAABBBAAABBBAAAABBAABABAAABABABBAAAAAABABABA',
'B'),
[[[25, 12], [28, 26], [12, 7]], None, {'A': 1, 'B': 0}]),
('variant scenario 1',
('ABAABBBAAAAABAABBAAAABBBAAAABABAABAAAAAAABBAABBAAAAAAABA', 'B'),
[[[25, 13], [13, 5]], None, {'A': 3, 'B': 3}]),
('variant scenario 2',
('ABBAABBABBAAABAAAABBABABAAABABBAABBAAABBABAAABABAAABABABAAAAAABBBABBBABBABBAAAABBABAABAABBAAAAABBABBBABAABAAABBABBBBBBABBAABBAAAAABABAAABAAA',
'A'),
[[[25, 19], [25, 19], [25, 23]], 'A', {'A': 5, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('ABBAABAAAAAAAABBBBABBBBBBAAABBAAAAAAABAABBBBABAABBBAAAAAAAAAAABBABBBBABAAABABABAAAABABBBAAAAABAABABABAAAAAABABBAABBBBAAABABBBBBAAAAB',
'A'),
[[[25, 20], [25, 15], [25, 20]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('AAAAABAAAAAAABAAAAAABABAABAAAAAAABAAABAAAAABBABABBAABAABABABABBBBABAABAAABAABAAAABABAAAAABBBBBBABAAAAAABABAAAABBAAAA',
'A'),
[[[25, 5], [25, 17], [25, 13]], 'A', {'A': 2, 'B': 2}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABAAAABBBBBBAAAAABABABABBABBAABAAAABBBAAAABAAAAABAAABAABBAAABAAAAABAAAAAABAABABBABBABAAAAABBBAAABBBAABABAAABBABBBABABABBAAABABBBABAABABA',
'A'),
[[[25, 19], [25, 7], [25, 27], [5, 3]], None, {'A': 4, 'B': 3}]),
('regression: win by two without cap',
('AAAAAABBAABBAAABABABAABAABAAAABBBBBBABBABABBAAAABBAABAAABAAABAAAABBBBAABABABABBAAAAAAABABABAAABBBBBBBAAAABBABBABABBBABAABAAABBAABABAABABAAAABAAAAAABABA',
'A'),
[[[25, 20], [25, 14], [28, 26]], 'A', {'A': 3, 'B': 3}]),
('variant scenario 1',
('ABBBAAABAABBAABAABAABABBABBAAABBBBAABAAABAABBAABBAAABBAABBAB', 'A'),
[[[25, 21], [7, 7]], None, {'A': 4, 'B': 4}]),
('variant scenario 2',
('BAAAABBAAABBAAAAAAAAABABABABBBBAAABBABABBBAAABAAABAABABAABAABBBBBBABBBAAAABAAAAAAAABBABABABBBABAAAAABABABABAAABAABABAAAAAAABAABAABAAAAAABABBBABBBBAAAABAAAAAAAABBABABAAAAABABB',
'A'),
[[[25, 18], [25, 15], [25, 15]], 'A', {'A': 0, 'B': 0}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('BAAAAAABABBABABABBABBBABABAAAABABABBBABABBABAABABAAAAAABBBBAAAAAABAAABAABABAAABBBBBABBBBABBBAABABABAAAAABABBBABBAAAABAAAAAABBBAAABABAABABAAAABAAAABBABAAAAAAAAAABBABBAAABBAAABBAAABAAAAABABAAAAAABBABAABAABBABAAAA',
'A'),
[[[25, 23], [25, 21], [25, 15]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('ABAAAAAAABAABAAABABAAABAAAAABBAAABAABBBBAAABAABAAAABAABBABABABAAAAAAAAAABAAAABAAABBBAABBAABAAAAAABAAAAAABAAAABABBBAAAABBAAABAAABAAAABBBABAAAABABBBAAB',
'B'),
[[[25, 8], [25, 13], [25, 10]], 'A', {'A': 2, 'B': 1}])]]
for label, args, expected in cases[N - 1]:
check(label, run(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 |
|---|---|---|---|
| control first rally held by server | [[[1, 0]], None, {'A': 0, 'B': 0}] | [[[1, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary side-out rotates receiver | [[[0, 1]], None, {'A': 0, 'B': 1}] | [[[0, 1]], None, {'A': 0, 'B': 1}] | Passed |
| control clean set | [[[25, 0]], None, {'A': 0, 'B': 0}] | [[[25, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary second set served by other team | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | Passed |
| boundary deuce in set | [[[26, 24]], None, {'A': 0, 'B': 0}] | [[[26, 24]], None, {'A': 0, 'B': 0}] | Passed |
| control straight-sets match | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | Passed |
| regression: win by two without cap | [[[27, 26], [21, 16]], None, {'A': 2, 'B': 2}] | [[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}] | Failed |
| variant scenario 1 | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | Passed |
| variant scenario 2 | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | Passed |
SHA-256 / 42111831ed3afd122af8456abc3a80acbe3be41718d5fd61e98386e5e1091249
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rallies, first_serve):
won = {'A': 0, 'B': 0}
sets = []
a = b = 0
set_index = 0
server = first_serve
rot = {'A': 0, 'B': 0}
for r in rallies:
if r == 'A':
a += 1
else:
b += 1
if r != server:
rot[r] = (rot[r] + 1) % 6
server = r
target = 15 if set_index == 4 else 25
if max(a, b) >= target and abs(a - b) >= 2:
w = 'A' if a > b else 'B'
won[w] += 1
sets.append([a, b])
if won[w] == 3:
return [sets, w, rot]
a = b = 0
set_index += 1
rot = {'A': 0, 'B': 0}
server = first_serve if set_index % 2 == 0 else ('B' if first_serve == 'A' else 'A')
return [sets + ([[a, b]] if a or b else []), None, rot]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
def run(args):
try:
return solve(*args)
except Exception as exc:
return 'raised ' + type(exc).__name__
cases = [[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABBBAABAAABAAABAABABBABAABBABBBBAAAABBBABBBAABABBAABAAAAAABBABBABAAAABBAAAABBBBAAABAABBBAB',
'A'),
[[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('AABBBAABAABAAAAABAABBABBBBBBAABBBBAAAAAAABABABBBBBABBBBBABAAABABABAAABBABAABABBAAABAABABBAA',
'B'),
[[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}]),
('variant scenario 2',
('AAAABBBBBBABABABABAAAABAABAABBBAAAAABAAABAABBAAABAAABBAAABBABBAAAAA', 'A'),
[[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('BAAABBBAAABABABBAABABAAAAABBBBABABBBAAABABBABBBAABAAAAAAAAAAAABBAABAAAA', 'A'),
[[[27, 25], [16, 3]], None, {'A': 3, 'B': 2}]),
('regression: win by two without cap',
('BAAAAABAABBABABAABBAAAABAAAABAAAABBAABBABBABAAAAABBBBBBAABBAABAABBAAABBBAAABBBAAAABBAABABAAABABABBAAAAAABABABA',
'B'),
[[[25, 12], [28, 26], [12, 7]], None, {'A': 1, 'B': 0}]),
('variant scenario 1',
('ABAABBBAAAAABAABBAAAABBBAAAABABAABAAAAAAABBAABBAAAAAAABA', 'B'),
[[[25, 13], [13, 5]], None, {'A': 3, 'B': 3}]),
('variant scenario 2',
('ABBAABBABBAAABAAAABBABABAAABABBAABBAAABBABAAABABAAABABABAAAAAABBBABBBABBABBAAAABBABAABAABBAAAAABBABBBABAABAAABBABBBBBBABBAABBAAAAABABAAABAAA',
'A'),
[[[25, 19], [25, 19], [25, 23]], 'A', {'A': 5, 'B': 5}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('ABBAABAAAAAAAABBBBABBBBBBAAABBAAAAAAABAABBBBABAABBBAAAAAAAAAAABBABBBBABAAABABABAAAABABBBAAAAABAABABABAAAAAABABBAABBBBAAABABBBBBAAAAB',
'A'),
[[[25, 20], [25, 15], [25, 20]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('AAAAABAAAAAAABAAAAAABABAABAAAAAAABAAABAAAAABBABABBAABAABABABABBBBABAABAAABAABAAAABABAAAAABBBBBBABAAAAAABABAAAABBAAAA',
'A'),
[[[25, 5], [25, 17], [25, 13]], 'A', {'A': 2, 'B': 2}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABAAAABBBBBBAAAAABABABABBABBAABAAAABBBAAAABAAAAABAAABAABBAAABAAAAABAAAAAABAABABBABBABAAAAABBBAAABBBAABABAAABBABBBABABABBAAABABBBABAABABA',
'A'),
[[[25, 19], [25, 7], [25, 27], [5, 3]], None, {'A': 4, 'B': 3}]),
('regression: win by two without cap',
('AAAAAABBAABBAAABABABAABAABAAAABBBBBBABBABABBAAAABBAABAAABAAABAAAABBBBAABABABABBAAAAAAABABABAAABBBBBBBAAAABBABBABABBBABAABAAABBAABABAABABAAAABAAAAAABABA',
'A'),
[[[25, 20], [25, 14], [28, 26]], 'A', {'A': 3, 'B': 3}]),
('variant scenario 1',
('ABBBAAABAABBAABAABAABABBABBAAABBBBAABAAABAABBAABBAAABBAABBAB', 'A'),
[[[25, 21], [7, 7]], None, {'A': 4, 'B': 4}]),
('variant scenario 2',
('BAAAABBAAABBAAAAAAAAABABABABBBBAAABBABABBBAAABAAABAABABAABAABBBBBBABBBAAAABAAAAAAAABBABABABBBABAAAAABABABABAAABAABABAAAAAAABAABAABAAAAAABABBBABBBBAAAABAAAAAAAABBABABAAAAABABB',
'A'),
[[[25, 18], [25, 15], [25, 15]], 'A', {'A': 0, 'B': 0}])],
[('control first rally held by server', ('A', 'A'), [[[1, 0]], None, {'A': 0, 'B': 0}]),
('boundary side-out rotates receiver', ('B', 'A'), [[[0, 1]], None, {'A': 0, 'B': 1}]),
('control clean set', ('AAAAAAAAAAAAAAAAAAAAAAAAA', 'A'), [[[25, 0]], None, {'A': 0, 'B': 0}]),
('boundary second set served by other team',
('AAAAAAAAAAAAAAAAAAAAAAAAAA', 'A'),
[[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}]),
('boundary deuce in set',
('ABABABABABABABABABABABABABABABABABABABABABABABABAA', 'A'),
[[[26, 24]], None, {'A': 0, 'B': 0}]),
('control straight-sets match',
('AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA', 'B'),
[[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}]),
('regression: win by two without cap',
('ABABABABABABABABABABABABABABABABABABABABABABABABABABA', 'A'),
[[[27, 26]], None, {'A': 2, 'B': 2}]),
('variant scenario 1',
('BAAAAAABABBABABABBABBBABABAAAABABABBBABABBABAABABAAAAAABBBBAAAAAABAAABAABABAAABBBBBABBBBABBBAABABABAAAAABABBBABBAAAABAAAAAABBBAAABABAABABAAAABAAAABBABAAAAAAAAAABBABBAAABBAAABBAAABAAAAABABAAAAAABBABAABAABBABAAAA',
'A'),
[[[25, 23], [25, 21], [25, 15]], 'A', {'A': 4, 'B': 4}]),
('variant scenario 2',
('ABAAAAAAABAABAAABABAAABAAAAABBAAABAABBBBAAABAABAAAABAABBABABABAAAAAAAAAABAAAABAAABBBAABBAABAAAAAABAAAAAABAAAABABBBAAAABBAAABAAABAAAABBBABAAAABABBBAAB',
'B'),
[[[25, 8], [25, 13], [25, 10]], 'A', {'A': 2, 'B': 1}])]]
for label, args, expected in cases[N - 1]:
check(label, run(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 |
|---|---|---|---|
| control first rally held by server | [[[1, 0]], None, {'A': 0, 'B': 0}] | [[[1, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary side-out rotates receiver | [[[0, 1]], None, {'A': 0, 'B': 1}] | [[[0, 1]], None, {'A': 0, 'B': 1}] | Passed |
| control clean set | [[[25, 0]], None, {'A': 0, 'B': 0}] | [[[25, 0]], None, {'A': 0, 'B': 0}] | Passed |
| boundary second set served by other team | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | [[[25, 0], [1, 0]], None, {'A': 1, 'B': 0}] | Passed |
| boundary deuce in set | [[[26, 24]], None, {'A': 0, 'B': 0}] | [[[26, 24]], None, {'A': 0, 'B': 0}] | Passed |
| control straight-sets match | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | [[[25, 0], [25, 0], [25, 0]], 'A', {'A': 1, 'B': 0}] | Passed |
| regression: win by two without cap | [[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}] | [[[28, 26], [20, 16]], None, {'A': 2, 'B': 2}] | Passed |
| variant scenario 1 | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | [[[25, 20], [22, 24]], None, {'A': 1, 'B': 1}] | Passed |
| variant scenario 2 | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | [[[25, 17], [16, 9]], None, {'A': 0, 'B': 5}] | Passed |
SHA-256 / e3ea8a34b15748373dab0dcb7075d48cc177212a061c55155c6f58cbe5020f64
Verification & scope
Stipulated, bounded toy contract stated in the contract field; not a claim of conformance with any governing body rulebook or operator house 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 2026-09-29T14:50:26.031226+00:00.
Case digest / c4c86f48f0ca48e5b6fa5399a6c72986ef221312c804d00b3e95dafd85f0b6d3