FA-94621 / Exam timetabling constraints / Open access
Consecutive sittings taken in registration order · case 01
Unordered registrations compare non-consecutive exams.
ROOT CAUSE
Sittings are not sorted by start.
VERIFIED REPAIR
Sort each student's sittings by start.
Unsuccessful approach: Sorting by exam id is not chronological.
Case contract
sits [student, exam, start, end], campus exam -> campus, travel "X|Y" -> minutes stored in either order. For each student's consecutive sittings by start, the needed gap is the travel time between different campuses (0 for the same campus); if the gap from previous end to next start is smaller, report [student, previous exam, next exam, shortfall].
Why this case matters
Multi-campus exam timetables must leave travel time between a student's consecutive sittings.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(sits, campus, travel):
by = {}
for st, ex, s, e in sits:
by.setdefault(st, []).append((s, e, ex))
out = []
for st in sorted(by):
seq = by[st]
for (s1, e1, x1), (s2, e2, x2) in zip(seq, seq[1:]):
gap = s2 - e1
c1, c2 = campus[x1], campus[x2]
need = 0
if c1 != c2:
need = travel.get(c1 + '|' + c2, travel.get(c2 + '|' + c1, 0))
if gap < need:
out.append([st, x1, x2, need - gap])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: sitting order 1',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('regression variant: sitting order 2',
[[['s1', 'BIO130', 645, 735], ['s1', 'MATH101H', 735, 795], ['s1', 'CHEM120', 540, 630]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[]),
('partial repair guard 3',
[[['s4', 'ECON150', 899, 989], ['s2', 'CHEM120', 705, 795], ['s4', 'PHYS110', 540, 630],
['s2', 'MATH101H', 600, 660], ['s4', 'BIO130', 794, 884], ['s2', 'PHYS110', 795, 915],
['s4', 'CHEM120', 645, 765]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 5',
[[['s4', 'PHYS110', 540, 660], ['s4', 'HIST140', 929, 1049], ['s4', 'MATH101H', 690, 810],
['s4', 'BIO130', 839, 959]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]]),
('normal control 6',
[[['s2', 'CHEM120', 540, 600], ['s3', 'CHEM120', 975, 1065], ['s3', 'ECON150', 600, 720],
['s3', 'MATH101H', 765, 885], ['s2', 'MATH101', 645, 765]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'ECON150', 'MATH101H', 15]]),
('normal control 7',
[[['s2', 'MATH101H', 975, 1095], ['s2', 'CHEM120', 540, 630], ['s2', 'MATH101', 795, 915],
['s2', 'ECON150', 660, 750]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[]),
('normal control 8',
[[['s4', 'MATH101', 691, 751], ['s4', 'PHYS110', 600, 660], ['s1', 'CHEM120', 600, 660],
['s1', 'MATH101H', 689, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[])],
[('regression: sitting order 1',
[[['s3', 'ECON150', 839, 929], ['s1', 'MATH101H', 540, 660], ['s3', 'CHEM120', 960, 1050],
['s1', 'ECON150', 765, 885], ['s4', 'BIO130', 600, 660], ['s1', 'HIST140', 630, 750],
['s3', 'MATH101', 750, 810], ['s4', 'ECON150', 660, 720], ['s3', 'BIO130', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101H', 'HIST140', 60], ['s1', 'HIST140', 'ECON150', 15]]),
('regression variant: sitting order 2',
[[['s1', 'CHEM120', 810, 930], ['s3', 'MATH101H', 781, 901], ['s1', 'HIST140', 1094, 1184],
['s1', 'PHYS110', 959, 1079], ['s1', 'BIO130', 600, 720], ['s3', 'HIST140', 691, 781],
['s3', 'ECON150', 540, 660]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s5', 'HIST140', 943, 1003], ['s5', 'MATH101H', 689, 809], ['s5', 'ECON150', 540, 660],
['s4', 'PHYS110', 600, 660], ['s2', 'PHYS110', 750, 840], ['s2', 'ECON150', 870, 960],
['s4', 'MATH101', 750, 840], ['s2', 'MATH101H', 600, 660], ['s5', 'MATH101', 838, 928],
['s4', 'MATH101H', 690, 750]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'PHYS110', 'MATH101H', 30], ['s5', 'ECON150', 'MATH101H', 31]]),
('boundary control 4', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('boundary control 5',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('normal control 6',
[[['s3', 'MATH101', 705, 825], ['s4', 'PHYS110', 660, 780], ['s4', 'MATH101', 989, 1049],
['s4', 'CHEM120', 600, 660], ['s3', 'PHYS110', 840, 960], ['s4', 'HIST140', 809, 929],
['s3', 'BIO130', 540, 660]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[]),
('normal control 7',
[[['s1', 'HIST140', 735, 825], ['s1', 'PHYS110', 600, 720]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s1', 'PHYS110', 944, 1034], ['s5', 'HIST140', 540, 600], ['s5', 'CHEM120', 796, 916],
['s1', 'MATH101H', 824, 944], ['s5', 'PHYS110', 631, 691], ['s5', 'MATH101', 736, 826],
['s3', 'HIST140', 540, 660], ['s1', 'MATH101', 600, 660], ['s1', 'ECON150', 689, 809],
['s3', 'MATH101', 856, 946], ['s3', 'BIO130', 691, 811], ['s3', 'ECON150', 991, 1051]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'ECON150', 1], ['s1', 'ECON150', 'MATH101H', 15], ['s5', 'MATH101', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s5', 'CHEM120', 750, 870], ['s5', 'MATH101', 600, 690]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[]),
('regression variant: sitting order 2',
[[['s3', 'PHYS110', 600, 690], ['s4', 'PHYS110', 660, 720], ['s4', 'BIO130', 900, 990],
['s3', 'HIST140', 750, 870], ['s3', 'CHEM120', 690, 780], ['s4', 'MATH101H', 780, 840],
['s3', 'MATH101', 660, 720], ['s4', 'CHEM120', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'PHYS110', 'MATH101', 30], ['s3', 'MATH101', 'CHEM120', 90], ['s3', 'CHEM120', 'HIST140', 30],
['s4', 'CHEM120', 'PHYS110', 60]]),
('partial repair guard 3',
[[['s4', 'CHEM120', 869, 989], ['s4', 'HIST140', 600, 660], ['s4', 'BIO130', 750, 840],
['s4', 'PHYS110', 1019, 1139]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'BIO130', 'CHEM120', 31], ['s4', 'CHEM120', 'PHYS110', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('boundary control 5', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('normal control 6',
[[['s4', 'ECON150', 600, 720], ['s5', 'CHEM120', 810, 900], ['s4', 'PHYS110', 900, 960],
['s5', 'MATH101H', 600, 660], ['s4', 'HIST140', 749, 869], ['s5', 'BIO130', 630, 720],
['s5', 'HIST140', 720, 810]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s4', 'ECON150', 'HIST140', 16], ['s5', 'MATH101H', 'BIO130', 30]]),
('normal control 7',
[[['s5', 'MATH101', 749, 869], ['s5', 'PHYS110', 659, 779], ['s4', 'MATH101H', 660, 780],
['s2', 'ECON150', 735, 855], ['s2', 'MATH101H', 600, 690], ['s4', 'PHYS110', 809, 899],
['s4', 'MATH101', 600, 660], ['s5', 'HIST140', 540, 630]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s5', 'HIST140', 'PHYS110', 1], ['s5', 'PHYS110', 'MATH101', 30]]),
('normal control 8',
[[['s2', 'HIST140', 885, 1005], ['s2', 'CHEM120', 975, 1065], ['s2', 'BIO130', 540, 660],
['s2', 'MATH101', 705, 825]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'HIST140', 'CHEM120', 75]])],
[('regression: sitting order 1',
[[['s2', 'MATH101', 915, 1035], ['s2', 'PHYS110', 735, 855], ['s2', 'ECON150', 600, 720],
['s1', 'ECON150', 870, 930], ['s2', 'CHEM120', 1005, 1095], ['s1', 'MATH101', 780, 900],
['s1', 'HIST140', 600, 720]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[['s1', 'MATH101', 'ECON150', 75], ['s2', 'MATH101', 'CHEM120', 90]]),
('regression variant: sitting order 2',
[[['s5', 'PHYS110', 945, 1035], ['s1', 'PHYS110', 540, 630], ['s5', 'MATH101', 600, 720],
['s1', 'HIST140', 660, 750], ['s5', 'HIST140', 765, 885]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s2', 'BIO130', 540, 660], ['s1', 'MATH101H', 719, 839], ['s1', 'HIST140', 689, 749],
['s4', 'ECON150', 870, 930], ['s4', 'HIST140', 600, 690], ['s4', 'CHEM120', 735, 855],
['s2', 'MATH101H', 660, 750], ['s2', 'MATH101', 720, 810], ['s4', 'BIO130', 930, 1020],
['s1', 'MATH101', 540, 660]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s1', 'HIST140', 'MATH101H', 60], ['s2', 'BIO130', 'MATH101H', 30], ['s2', 'MATH101H', 'MATH101', 75],
['s4', 'ECON150', 'BIO130', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('normal control 6',
[[['s5', 'ECON150', 540, 600], ['s5', 'PHYS110', 914, 974], ['s2', 'PHYS110', 990, 1110],
['s2', 'HIST140', 1110, 1230], ['s1', 'BIO130', 631, 751], ['s5', 'MATH101H', 615, 735],
['s2', 'MATH101', 600, 720], ['s1', 'ECON150', 540, 600], ['s2', 'MATH101H', 810, 930],
['s5', 'MATH101', 764, 854]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'PHYS110', 'HIST140', 45], ['s5', 'MATH101H', 'MATH101', 16]]),
('normal control 7',
[[['s5', 'HIST140', 540, 630], ['s4', 'ECON150', 750, 870], ['s4', 'BIO130', 540, 660],
['s5', 'PHYS110', 690, 810]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[]),
('normal control 8',
[[['s3', 'ECON150', 570, 690], ['s3', 'CHEM120', 690, 810], ['s3', 'MATH101H', 540, 600]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'MATH101H', 'ECON150', 30], ['s3', 'ECON150', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s3', 'BIO130', 600, 720], ['s5', 'MATH101', 691, 781], ['s2', 'MATH101', 720, 810],
['s2', 'CHEM120', 540, 630], ['s3', 'HIST140', 780, 900], ['s2', 'BIO130', 839, 899],
['s5', 'ECON150', 600, 660], ['s2', 'HIST140', 899, 1019]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s2', 'BIO130', 'HIST140', 30]]),
('regression variant: sitting order 2',
[[['s2', 'HIST140', 540, 660], ['s4', 'CHEM120', 720, 780], ['s1', 'MATH101', 690, 810],
['s2', 'ECON150', 690, 810], ['s1', 'CHEM120', 540, 660], ['s4', 'MATH101H', 540, 630],
['s1', 'PHYS110', 841, 901]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'HIST140', 'ECON150', 30]]),
('partial repair guard 3',
[[['s2', 'HIST140', 630, 690], ['s2', 'CHEM120', 600, 660], ['s2', 'BIO130', 719, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'CHEM120', 'HIST140', 30], ['s2', 'HIST140', 'BIO130', 1]]),
('boundary control 4',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 6',
[[['s4', 'CHEM120', 600, 690], ['s4', 'MATH101H', 885, 945], ['s4', 'PHYS110', 974, 1064],
['s4', 'ECON150', 705, 795]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[]),
('normal control 7',
[[['s1', 'PHYS110', 735, 795], ['s5', 'ECON150', 689, 779], ['s5', 'CHEM120', 809, 869],
['s5', 'MATH101', 540, 660], ['s1', 'MATH101', 600, 720], ['s1', 'HIST140', 810, 870]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'PHYS110', 15], ['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s3', 'PHYS110', 600, 690], ['s3', 'MATH101H', 825, 915], ['s1', 'MATH101H', 750, 810],
['s1', 'CHEM120', 841, 901], ['s1', 'ECON150', 600, 660], ['s1', 'HIST140', 916, 1006],
['s2', 'MATH101H', 540, 660], ['s2', 'BIO130', 630, 750], ['s3', 'BIO130', 750, 810]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s1', 'CHEM120', 'HIST140', 15], ['s2', 'MATH101H', 'BIO130', 30]])]]
for label, args, expected in fixtures[N-1]:
check(label, 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 |
|---|---|---|---|
| regression: sitting order 1 | [['s1', 'B', 'A', 280]] | [] | Failed |
| regression variant: sitting order 2 | [['s1', 'MATH101H', 'CHEM120', 255]] | [] | Failed |
| partial repair guard 3 | [['s2', 'CHEM120', 'MATH101H', 195], ['s4', 'ECON150', 'PHYS110', 479], ['s4', 'BIO130', 'CHEM120', 239]] | [['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]] | Failed |
| boundary control 4 | [] | [] | Passed |
| normal control 5 | [['s4', 'HIST140', 'MATH101H', 359], ['s4', 'MATH101H', 'BIO130', 1]] | [['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]] | Failed |
| normal control 6 | [['s3', 'CHEM120', 'ECON150', 465], ['s3', 'ECON150', 'MATH101H', 15]] | [['s3', 'ECON150', 'MATH101H', 15]] | Failed |
| normal control 7 | [['s2', 'MATH101H', 'CHEM120', 585], ['s2', 'MATH101', 'ECON150', 285]] | [] | Failed |
| normal control 8 | [['s4', 'MATH101', 'PHYS110', 181]] | [] | Failed |
SHA-256 / 0cf4a1af0fe4996a03a32806a46f10be2de644be9a0139570688c9c8e7eb83a8
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(sits, campus, travel):
by = {}
for st, ex, s, e in sits:
by.setdefault(st, []).append((s, e, ex))
out = []
for st in sorted(by):
seq = sorted(by[st], key=lambda t: t[2])
for (s1, e1, x1), (s2, e2, x2) in zip(seq, seq[1:]):
gap = s2 - e1
c1, c2 = campus[x1], campus[x2]
need = 0
if c1 != c2:
need = travel.get(c1 + '|' + c2, travel.get(c2 + '|' + c1, 0))
if gap < need:
out.append([st, x1, x2, need - gap])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: sitting order 1',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('regression variant: sitting order 2',
[[['s1', 'BIO130', 645, 735], ['s1', 'MATH101H', 735, 795], ['s1', 'CHEM120', 540, 630]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[]),
('partial repair guard 3',
[[['s4', 'ECON150', 899, 989], ['s2', 'CHEM120', 705, 795], ['s4', 'PHYS110', 540, 630],
['s2', 'MATH101H', 600, 660], ['s4', 'BIO130', 794, 884], ['s2', 'PHYS110', 795, 915],
['s4', 'CHEM120', 645, 765]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 5',
[[['s4', 'PHYS110', 540, 660], ['s4', 'HIST140', 929, 1049], ['s4', 'MATH101H', 690, 810],
['s4', 'BIO130', 839, 959]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]]),
('normal control 6',
[[['s2', 'CHEM120', 540, 600], ['s3', 'CHEM120', 975, 1065], ['s3', 'ECON150', 600, 720],
['s3', 'MATH101H', 765, 885], ['s2', 'MATH101', 645, 765]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'ECON150', 'MATH101H', 15]]),
('normal control 7',
[[['s2', 'MATH101H', 975, 1095], ['s2', 'CHEM120', 540, 630], ['s2', 'MATH101', 795, 915],
['s2', 'ECON150', 660, 750]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[]),
('normal control 8',
[[['s4', 'MATH101', 691, 751], ['s4', 'PHYS110', 600, 660], ['s1', 'CHEM120', 600, 660],
['s1', 'MATH101H', 689, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[])],
[('regression: sitting order 1',
[[['s3', 'ECON150', 839, 929], ['s1', 'MATH101H', 540, 660], ['s3', 'CHEM120', 960, 1050],
['s1', 'ECON150', 765, 885], ['s4', 'BIO130', 600, 660], ['s1', 'HIST140', 630, 750],
['s3', 'MATH101', 750, 810], ['s4', 'ECON150', 660, 720], ['s3', 'BIO130', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101H', 'HIST140', 60], ['s1', 'HIST140', 'ECON150', 15]]),
('regression variant: sitting order 2',
[[['s1', 'CHEM120', 810, 930], ['s3', 'MATH101H', 781, 901], ['s1', 'HIST140', 1094, 1184],
['s1', 'PHYS110', 959, 1079], ['s1', 'BIO130', 600, 720], ['s3', 'HIST140', 691, 781],
['s3', 'ECON150', 540, 660]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s5', 'HIST140', 943, 1003], ['s5', 'MATH101H', 689, 809], ['s5', 'ECON150', 540, 660],
['s4', 'PHYS110', 600, 660], ['s2', 'PHYS110', 750, 840], ['s2', 'ECON150', 870, 960],
['s4', 'MATH101', 750, 840], ['s2', 'MATH101H', 600, 660], ['s5', 'MATH101', 838, 928],
['s4', 'MATH101H', 690, 750]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'PHYS110', 'MATH101H', 30], ['s5', 'ECON150', 'MATH101H', 31]]),
('boundary control 4', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('boundary control 5',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('normal control 6',
[[['s3', 'MATH101', 705, 825], ['s4', 'PHYS110', 660, 780], ['s4', 'MATH101', 989, 1049],
['s4', 'CHEM120', 600, 660], ['s3', 'PHYS110', 840, 960], ['s4', 'HIST140', 809, 929],
['s3', 'BIO130', 540, 660]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[]),
('normal control 7',
[[['s1', 'HIST140', 735, 825], ['s1', 'PHYS110', 600, 720]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s1', 'PHYS110', 944, 1034], ['s5', 'HIST140', 540, 600], ['s5', 'CHEM120', 796, 916],
['s1', 'MATH101H', 824, 944], ['s5', 'PHYS110', 631, 691], ['s5', 'MATH101', 736, 826],
['s3', 'HIST140', 540, 660], ['s1', 'MATH101', 600, 660], ['s1', 'ECON150', 689, 809],
['s3', 'MATH101', 856, 946], ['s3', 'BIO130', 691, 811], ['s3', 'ECON150', 991, 1051]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'ECON150', 1], ['s1', 'ECON150', 'MATH101H', 15], ['s5', 'MATH101', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s5', 'CHEM120', 750, 870], ['s5', 'MATH101', 600, 690]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[]),
('regression variant: sitting order 2',
[[['s3', 'PHYS110', 600, 690], ['s4', 'PHYS110', 660, 720], ['s4', 'BIO130', 900, 990],
['s3', 'HIST140', 750, 870], ['s3', 'CHEM120', 690, 780], ['s4', 'MATH101H', 780, 840],
['s3', 'MATH101', 660, 720], ['s4', 'CHEM120', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'PHYS110', 'MATH101', 30], ['s3', 'MATH101', 'CHEM120', 90], ['s3', 'CHEM120', 'HIST140', 30],
['s4', 'CHEM120', 'PHYS110', 60]]),
('partial repair guard 3',
[[['s4', 'CHEM120', 869, 989], ['s4', 'HIST140', 600, 660], ['s4', 'BIO130', 750, 840],
['s4', 'PHYS110', 1019, 1139]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'BIO130', 'CHEM120', 31], ['s4', 'CHEM120', 'PHYS110', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('boundary control 5', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('normal control 6',
[[['s4', 'ECON150', 600, 720], ['s5', 'CHEM120', 810, 900], ['s4', 'PHYS110', 900, 960],
['s5', 'MATH101H', 600, 660], ['s4', 'HIST140', 749, 869], ['s5', 'BIO130', 630, 720],
['s5', 'HIST140', 720, 810]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s4', 'ECON150', 'HIST140', 16], ['s5', 'MATH101H', 'BIO130', 30]]),
('normal control 7',
[[['s5', 'MATH101', 749, 869], ['s5', 'PHYS110', 659, 779], ['s4', 'MATH101H', 660, 780],
['s2', 'ECON150', 735, 855], ['s2', 'MATH101H', 600, 690], ['s4', 'PHYS110', 809, 899],
['s4', 'MATH101', 600, 660], ['s5', 'HIST140', 540, 630]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s5', 'HIST140', 'PHYS110', 1], ['s5', 'PHYS110', 'MATH101', 30]]),
('normal control 8',
[[['s2', 'HIST140', 885, 1005], ['s2', 'CHEM120', 975, 1065], ['s2', 'BIO130', 540, 660],
['s2', 'MATH101', 705, 825]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'HIST140', 'CHEM120', 75]])],
[('regression: sitting order 1',
[[['s2', 'MATH101', 915, 1035], ['s2', 'PHYS110', 735, 855], ['s2', 'ECON150', 600, 720],
['s1', 'ECON150', 870, 930], ['s2', 'CHEM120', 1005, 1095], ['s1', 'MATH101', 780, 900],
['s1', 'HIST140', 600, 720]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[['s1', 'MATH101', 'ECON150', 75], ['s2', 'MATH101', 'CHEM120', 90]]),
('regression variant: sitting order 2',
[[['s5', 'PHYS110', 945, 1035], ['s1', 'PHYS110', 540, 630], ['s5', 'MATH101', 600, 720],
['s1', 'HIST140', 660, 750], ['s5', 'HIST140', 765, 885]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s2', 'BIO130', 540, 660], ['s1', 'MATH101H', 719, 839], ['s1', 'HIST140', 689, 749],
['s4', 'ECON150', 870, 930], ['s4', 'HIST140', 600, 690], ['s4', 'CHEM120', 735, 855],
['s2', 'MATH101H', 660, 750], ['s2', 'MATH101', 720, 810], ['s4', 'BIO130', 930, 1020],
['s1', 'MATH101', 540, 660]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s1', 'HIST140', 'MATH101H', 60], ['s2', 'BIO130', 'MATH101H', 30], ['s2', 'MATH101H', 'MATH101', 75],
['s4', 'ECON150', 'BIO130', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('normal control 6',
[[['s5', 'ECON150', 540, 600], ['s5', 'PHYS110', 914, 974], ['s2', 'PHYS110', 990, 1110],
['s2', 'HIST140', 1110, 1230], ['s1', 'BIO130', 631, 751], ['s5', 'MATH101H', 615, 735],
['s2', 'MATH101', 600, 720], ['s1', 'ECON150', 540, 600], ['s2', 'MATH101H', 810, 930],
['s5', 'MATH101', 764, 854]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'PHYS110', 'HIST140', 45], ['s5', 'MATH101H', 'MATH101', 16]]),
('normal control 7',
[[['s5', 'HIST140', 540, 630], ['s4', 'ECON150', 750, 870], ['s4', 'BIO130', 540, 660],
['s5', 'PHYS110', 690, 810]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[]),
('normal control 8',
[[['s3', 'ECON150', 570, 690], ['s3', 'CHEM120', 690, 810], ['s3', 'MATH101H', 540, 600]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'MATH101H', 'ECON150', 30], ['s3', 'ECON150', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s3', 'BIO130', 600, 720], ['s5', 'MATH101', 691, 781], ['s2', 'MATH101', 720, 810],
['s2', 'CHEM120', 540, 630], ['s3', 'HIST140', 780, 900], ['s2', 'BIO130', 839, 899],
['s5', 'ECON150', 600, 660], ['s2', 'HIST140', 899, 1019]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s2', 'BIO130', 'HIST140', 30]]),
('regression variant: sitting order 2',
[[['s2', 'HIST140', 540, 660], ['s4', 'CHEM120', 720, 780], ['s1', 'MATH101', 690, 810],
['s2', 'ECON150', 690, 810], ['s1', 'CHEM120', 540, 660], ['s4', 'MATH101H', 540, 630],
['s1', 'PHYS110', 841, 901]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'HIST140', 'ECON150', 30]]),
('partial repair guard 3',
[[['s2', 'HIST140', 630, 690], ['s2', 'CHEM120', 600, 660], ['s2', 'BIO130', 719, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'CHEM120', 'HIST140', 30], ['s2', 'HIST140', 'BIO130', 1]]),
('boundary control 4',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 6',
[[['s4', 'CHEM120', 600, 690], ['s4', 'MATH101H', 885, 945], ['s4', 'PHYS110', 974, 1064],
['s4', 'ECON150', 705, 795]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[]),
('normal control 7',
[[['s1', 'PHYS110', 735, 795], ['s5', 'ECON150', 689, 779], ['s5', 'CHEM120', 809, 869],
['s5', 'MATH101', 540, 660], ['s1', 'MATH101', 600, 720], ['s1', 'HIST140', 810, 870]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'PHYS110', 15], ['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s3', 'PHYS110', 600, 690], ['s3', 'MATH101H', 825, 915], ['s1', 'MATH101H', 750, 810],
['s1', 'CHEM120', 841, 901], ['s1', 'ECON150', 600, 660], ['s1', 'HIST140', 916, 1006],
['s2', 'MATH101H', 540, 660], ['s2', 'BIO130', 630, 750], ['s3', 'BIO130', 750, 810]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s1', 'CHEM120', 'HIST140', 15], ['s2', 'MATH101H', 'BIO130', 30]])]]
for label, args, expected in fixtures[N-1]:
check(label, 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 |
|---|---|---|---|
| regression: sitting order 1 | [] | [] | Passed |
| regression variant: sitting order 2 | [['s1', 'BIO130', 'CHEM120', 195]] | [] | Failed |
| partial repair guard 3 | [['s2', 'CHEM120', 'MATH101H', 195], ['s4', 'BIO130', 'CHEM120', 239], ['s4', 'ECON150', 'PHYS110', 479]] | [['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]] | Failed |
| boundary control 4 | [] | [] | Passed |
| normal control 5 | [['s4', 'BIO130', 'HIST140', 60], ['s4', 'HIST140', 'MATH101H', 359], ['s4', 'MATH101H', 'PHYS110', 270]] | [['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]] | Failed |
| normal control 6 | [['s3', 'CHEM120', 'ECON150', 465], ['s3', 'ECON150', 'MATH101H', 15]] | [['s3', 'ECON150', 'MATH101H', 15]] | Failed |
| normal control 7 | [] | [] | Passed |
| normal control 8 | [['s4', 'MATH101', 'PHYS110', 181]] | [] | Failed |
SHA-256 / 7f346b9557b5edbfd6936f24a1695d43f3f9a1028dcc42f67413b011152dc381
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(sits, campus, travel):
by = {}
for st, ex, s, e in sits:
by.setdefault(st, []).append((s, e, ex))
out = []
for st in sorted(by):
seq = sorted(by[st])
for (s1, e1, x1), (s2, e2, x2) in zip(seq, seq[1:]):
gap = s2 - e1
c1, c2 = campus[x1], campus[x2]
need = 0
if c1 != c2:
need = travel.get(c1 + '|' + c2, travel.get(c2 + '|' + c1, 0))
if gap < need:
out.append([st, x1, x2, need - gap])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: sitting order 1',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('regression variant: sitting order 2',
[[['s1', 'BIO130', 645, 735], ['s1', 'MATH101H', 735, 795], ['s1', 'CHEM120', 540, 630]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[]),
('partial repair guard 3',
[[['s4', 'ECON150', 899, 989], ['s2', 'CHEM120', 705, 795], ['s4', 'PHYS110', 540, 630],
['s2', 'MATH101H', 600, 660], ['s4', 'BIO130', 794, 884], ['s2', 'PHYS110', 795, 915],
['s4', 'CHEM120', 645, 765]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 5',
[[['s4', 'PHYS110', 540, 660], ['s4', 'HIST140', 929, 1049], ['s4', 'MATH101H', 690, 810],
['s4', 'BIO130', 839, 959]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]]),
('normal control 6',
[[['s2', 'CHEM120', 540, 600], ['s3', 'CHEM120', 975, 1065], ['s3', 'ECON150', 600, 720],
['s3', 'MATH101H', 765, 885], ['s2', 'MATH101', 645, 765]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'ECON150', 'MATH101H', 15]]),
('normal control 7',
[[['s2', 'MATH101H', 975, 1095], ['s2', 'CHEM120', 540, 630], ['s2', 'MATH101', 795, 915],
['s2', 'ECON150', 660, 750]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[]),
('normal control 8',
[[['s4', 'MATH101', 691, 751], ['s4', 'PHYS110', 600, 660], ['s1', 'CHEM120', 600, 660],
['s1', 'MATH101H', 689, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[])],
[('regression: sitting order 1',
[[['s3', 'ECON150', 839, 929], ['s1', 'MATH101H', 540, 660], ['s3', 'CHEM120', 960, 1050],
['s1', 'ECON150', 765, 885], ['s4', 'BIO130', 600, 660], ['s1', 'HIST140', 630, 750],
['s3', 'MATH101', 750, 810], ['s4', 'ECON150', 660, 720], ['s3', 'BIO130', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101H', 'HIST140', 60], ['s1', 'HIST140', 'ECON150', 15]]),
('regression variant: sitting order 2',
[[['s1', 'CHEM120', 810, 930], ['s3', 'MATH101H', 781, 901], ['s1', 'HIST140', 1094, 1184],
['s1', 'PHYS110', 959, 1079], ['s1', 'BIO130', 600, 720], ['s3', 'HIST140', 691, 781],
['s3', 'ECON150', 540, 660]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s5', 'HIST140', 943, 1003], ['s5', 'MATH101H', 689, 809], ['s5', 'ECON150', 540, 660],
['s4', 'PHYS110', 600, 660], ['s2', 'PHYS110', 750, 840], ['s2', 'ECON150', 870, 960],
['s4', 'MATH101', 750, 840], ['s2', 'MATH101H', 600, 660], ['s5', 'MATH101', 838, 928],
['s4', 'MATH101H', 690, 750]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'PHYS110', 'MATH101H', 30], ['s5', 'ECON150', 'MATH101H', 31]]),
('boundary control 4', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('boundary control 5',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('normal control 6',
[[['s3', 'MATH101', 705, 825], ['s4', 'PHYS110', 660, 780], ['s4', 'MATH101', 989, 1049],
['s4', 'CHEM120', 600, 660], ['s3', 'PHYS110', 840, 960], ['s4', 'HIST140', 809, 929],
['s3', 'BIO130', 540, 660]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[]),
('normal control 7',
[[['s1', 'HIST140', 735, 825], ['s1', 'PHYS110', 600, 720]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s1', 'PHYS110', 944, 1034], ['s5', 'HIST140', 540, 600], ['s5', 'CHEM120', 796, 916],
['s1', 'MATH101H', 824, 944], ['s5', 'PHYS110', 631, 691], ['s5', 'MATH101', 736, 826],
['s3', 'HIST140', 540, 660], ['s1', 'MATH101', 600, 660], ['s1', 'ECON150', 689, 809],
['s3', 'MATH101', 856, 946], ['s3', 'BIO130', 691, 811], ['s3', 'ECON150', 991, 1051]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'ECON150', 1], ['s1', 'ECON150', 'MATH101H', 15], ['s5', 'MATH101', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s5', 'CHEM120', 750, 870], ['s5', 'MATH101', 600, 690]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 30, 'city|north': 60}],
[]),
('regression variant: sitting order 2',
[[['s3', 'PHYS110', 600, 690], ['s4', 'PHYS110', 660, 720], ['s4', 'BIO130', 900, 990],
['s3', 'HIST140', 750, 870], ['s3', 'CHEM120', 690, 780], ['s4', 'MATH101H', 780, 840],
['s3', 'MATH101', 660, 720], ['s4', 'CHEM120', 600, 660]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'PHYS110', 'MATH101', 30], ['s3', 'MATH101', 'CHEM120', 90], ['s3', 'CHEM120', 'HIST140', 30],
['s4', 'CHEM120', 'PHYS110', 60]]),
('partial repair guard 3',
[[['s4', 'CHEM120', 869, 989], ['s4', 'HIST140', 600, 660], ['s4', 'BIO130', 750, 840],
['s4', 'PHYS110', 1019, 1139]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'north',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 60}],
[['s4', 'BIO130', 'CHEM120', 31], ['s4', 'CHEM120', 'PHYS110', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('boundary control 5', [[['s1', 'A', 540, 600], ['s1', 'B', 590, 700]], {'A': 'north', 'B': 'north'}, {}],
[['s1', 'A', 'B', 10]]),
('normal control 6',
[[['s4', 'ECON150', 600, 720], ['s5', 'CHEM120', 810, 900], ['s4', 'PHYS110', 900, 960],
['s5', 'MATH101H', 600, 660], ['s4', 'HIST140', 749, 869], ['s5', 'BIO130', 630, 720],
['s5', 'HIST140', 720, 810]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'city',
'CHEM120': 'city',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s4', 'ECON150', 'HIST140', 16], ['s5', 'MATH101H', 'BIO130', 30]]),
('normal control 7',
[[['s5', 'MATH101', 749, 869], ['s5', 'PHYS110', 659, 779], ['s4', 'MATH101H', 660, 780],
['s2', 'ECON150', 735, 855], ['s2', 'MATH101H', 600, 690], ['s4', 'PHYS110', 809, 899],
['s4', 'MATH101', 600, 660], ['s5', 'HIST140', 540, 630]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s5', 'HIST140', 'PHYS110', 1], ['s5', 'PHYS110', 'MATH101', 30]]),
('normal control 8',
[[['s2', 'HIST140', 885, 1005], ['s2', 'CHEM120', 975, 1065], ['s2', 'BIO130', 540, 660],
['s2', 'MATH101', 705, 825]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'HIST140', 'CHEM120', 75]])],
[('regression: sitting order 1',
[[['s2', 'MATH101', 915, 1035], ['s2', 'PHYS110', 735, 855], ['s2', 'ECON150', 600, 720],
['s1', 'ECON150', 870, 930], ['s2', 'CHEM120', 1005, 1095], ['s1', 'MATH101', 780, 900],
['s1', 'HIST140', 600, 720]],
{'MATH101': 'north',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'city',
'BIO130': 'north',
'HIST140': 'south',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[['s1', 'MATH101', 'ECON150', 75], ['s2', 'MATH101', 'CHEM120', 90]]),
('regression variant: sitting order 2',
[[['s5', 'PHYS110', 945, 1035], ['s1', 'PHYS110', 540, 630], ['s5', 'MATH101', 600, 720],
['s1', 'HIST140', 660, 750], ['s5', 'HIST140', 765, 885]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[]),
('partial repair guard 3',
[[['s2', 'BIO130', 540, 660], ['s1', 'MATH101H', 719, 839], ['s1', 'HIST140', 689, 749],
['s4', 'ECON150', 870, 930], ['s4', 'HIST140', 600, 690], ['s4', 'CHEM120', 735, 855],
['s2', 'MATH101H', 660, 750], ['s2', 'MATH101', 720, 810], ['s4', 'BIO130', 930, 1020],
['s1', 'MATH101', 540, 660]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'city',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s1', 'HIST140', 'MATH101H', 60], ['s2', 'BIO130', 'MATH101H', 30], ['s2', 'MATH101H', 'MATH101', 75],
['s4', 'ECON150', 'BIO130', 30]]),
('boundary control 4',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 629, 700]], {'A': 'south', 'B': 'north'}, {'north|south': 30}],
[['s1', 'A', 'B', 1]]),
('normal control 6',
[[['s5', 'ECON150', 540, 600], ['s5', 'PHYS110', 914, 974], ['s2', 'PHYS110', 990, 1110],
['s2', 'HIST140', 1110, 1230], ['s1', 'BIO130', 631, 751], ['s5', 'MATH101H', 615, 735],
['s2', 'MATH101', 600, 720], ['s1', 'ECON150', 540, 600], ['s2', 'MATH101H', 810, 930],
['s5', 'MATH101', 764, 854]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'north',
'ECON150': 'north'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'PHYS110', 'HIST140', 45], ['s5', 'MATH101H', 'MATH101', 16]]),
('normal control 7',
[[['s5', 'HIST140', 540, 630], ['s4', 'ECON150', 750, 870], ['s4', 'BIO130', 540, 660],
['s5', 'PHYS110', 690, 810]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'south',
'HIST140': 'north',
'ECON150': 'south'},
{'north|south': 45, 'city|north': 60}],
[]),
('normal control 8',
[[['s3', 'ECON150', 570, 690], ['s3', 'CHEM120', 690, 810], ['s3', 'MATH101H', 540, 600]],
{'MATH101': 'south',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'south',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s3', 'MATH101H', 'ECON150', 30], ['s3', 'ECON150', 'CHEM120', 60]])],
[('regression: sitting order 1',
[[['s3', 'BIO130', 600, 720], ['s5', 'MATH101', 691, 781], ['s2', 'MATH101', 720, 810],
['s2', 'CHEM120', 540, 630], ['s3', 'HIST140', 780, 900], ['s2', 'BIO130', 839, 899],
['s5', 'ECON150', 600, 660], ['s2', 'HIST140', 899, 1019]],
{'MATH101': 'city',
'MATH101H': 'south',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s2', 'BIO130', 'HIST140', 30]]),
('regression variant: sitting order 2',
[[['s2', 'HIST140', 540, 660], ['s4', 'CHEM120', 720, 780], ['s1', 'MATH101', 690, 810],
['s2', 'ECON150', 690, 810], ['s1', 'CHEM120', 540, 660], ['s4', 'MATH101H', 540, 630],
['s1', 'PHYS110', 841, 901]],
{'MATH101': 'south',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s2', 'HIST140', 'ECON150', 30]]),
('partial repair guard 3',
[[['s2', 'HIST140', 630, 690], ['s2', 'CHEM120', 600, 660], ['s2', 'BIO130', 719, 809]],
{'MATH101': 'north',
'MATH101H': 'north',
'PHYS110': 'city',
'CHEM120': 'south',
'BIO130': 'north',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 45, 'city|north': 30}],
[['s2', 'CHEM120', 'HIST140', 30], ['s2', 'HIST140', 'BIO130', 1]]),
('boundary control 4',
[[['s1', 'B', 700, 760], ['s1', 'A', 540, 600]], {'A': 'north', 'B': 'city'}, {'city|north': 60}], []),
('boundary control 5',
[[['s1', 'A', 540, 600], ['s1', 'B', 630, 700]], {'A': 'north', 'B': 'south'}, {'north|south': 30}], []),
('normal control 6',
[[['s4', 'CHEM120', 600, 690], ['s4', 'MATH101H', 885, 945], ['s4', 'PHYS110', 974, 1064],
['s4', 'ECON150', 705, 795]],
{'MATH101': 'city',
'MATH101H': 'city',
'PHYS110': 'south',
'CHEM120': 'north',
'BIO130': 'city',
'HIST140': 'south',
'ECON150': 'north'},
{'north|south': 30, 'city|north': 60}],
[]),
('normal control 7',
[[['s1', 'PHYS110', 735, 795], ['s5', 'ECON150', 689, 779], ['s5', 'CHEM120', 809, 869],
['s5', 'MATH101', 540, 660], ['s1', 'MATH101', 600, 720], ['s1', 'HIST140', 810, 870]],
{'MATH101': 'south',
'MATH101H': 'north',
'PHYS110': 'north',
'CHEM120': 'north',
'BIO130': 'south',
'HIST140': 'city',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 30}],
[['s1', 'MATH101', 'PHYS110', 15], ['s1', 'PHYS110', 'HIST140', 15]]),
('normal control 8',
[[['s3', 'PHYS110', 600, 690], ['s3', 'MATH101H', 825, 915], ['s1', 'MATH101H', 750, 810],
['s1', 'CHEM120', 841, 901], ['s1', 'ECON150', 600, 660], ['s1', 'HIST140', 916, 1006],
['s2', 'MATH101H', 540, 660], ['s2', 'BIO130', 630, 750], ['s3', 'BIO130', 750, 810]],
{'MATH101': 'north',
'MATH101H': 'south',
'PHYS110': 'south',
'CHEM120': 'south',
'BIO130': 'city',
'HIST140': 'north',
'ECON150': 'city'},
{'north|south': 30, 'city|north': 60}],
[['s1', 'CHEM120', 'HIST140', 15], ['s2', 'MATH101H', 'BIO130', 30]])]]
for label, args, expected in fixtures[N-1]:
check(label, 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 |
|---|---|---|---|
| regression: sitting order 1 | [] | [] | Passed |
| regression variant: sitting order 2 | [] | [] | Passed |
| partial repair guard 3 | [['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]] | [['s2', 'CHEM120', 'PHYS110', 30], ['s4', 'PHYS110', 'CHEM120', 15]] | Passed |
| boundary control 4 | [] | [] | Passed |
| normal control 5 | [['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]] | [['s4', 'MATH101H', 'BIO130', 1], ['s4', 'BIO130', 'HIST140', 60]] | Passed |
| normal control 6 | [['s3', 'ECON150', 'MATH101H', 15]] | [['s3', 'ECON150', 'MATH101H', 15]] | Passed |
| normal control 7 | [] | [] | Passed |
| normal control 8 | [] | [] | Passed |
SHA-256 / e17adf691ff16a2486bfef68e247c1d0883130b8ac998ef8567cea5e350b5040
Verification & scope
Stipulated toy exam-timetabling rule set for a bounded model; it does not claim conformance with any institution's regulations or a benchmark specification, and it performs no search or optimisation. 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 2026-09-29T14:52:06.038718+00:00.
Case digest / aadea0e3a77474b6e89c4d8fd5185f74f9ab7c4e2d870caca47464bd856c08ea