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FA-84036 / Sports scoring and tiebreakers / Open access

Head-to-head compares goals instead of points · case 01

A team that lost a head-to-head match on points is ranked above its rival by goals.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The head-to-head accumulator adds goal difference instead of match points.

VERIFIED REPAIR

Accumulate head-to-head points (3/1/0).

Unsuccessful approach: Accumulating head-to-head goals scored still ignores the points criterion.

Case contract

Round-robin football table. results rows are [home, home_goals, away, away_goals]. A win is 3 points, a draw 1. Rank by points, then goal difference, then goals scored, then head-to-head points among the teams still level on all three (only matches between those teams), then team name. Return rows [team, played, points, goal_difference, goals_for].

Why this case matters

League tables drive promotion, relegation and seeding; the tiebreaker cascade order matters.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(results, teams):
    table = {t: {'p': 0, 'pts': 0, 'gd': 0, 'gf': 0} for t in teams}
    for h, hg, a, ag in results:
        for team, f, g in ((h, hg, ag), (a, ag, hg)):
            row = table[team]
            row['p'] += 1
            row['gf'] += f
            row['gd'] += f - g
            row['pts'] += 3 if f > g else (1 if f == g else 0)
    def key3(t):
        r = table[t]
        return (r['pts'], r['gd'], r['gf'])
    def h2h(t):
        group = [u for u in teams if key3(u) == key3(t)]
        pts = 0
        for h, hg, a, ag in results:
            if h in group and a in group and t in (h, a):
                f, g = (hg, ag) if t == h else (ag, hg)
                pts += f - g
        return pts
    order = sorted(teams, key=lambda t: (-key3(t)[0], -key3(t)[1], -key3(t)[2], -h2h(t), t))
    return [[t, table[t]['p'], table[t]['pts'], table[t]['gd'], table[t]['gf']] for t in order]
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 single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Epsom', 1, 'Brent', 1],
     ['Corby', 0, 'Epsom', 0],
     ['Corby', 1, 'Brent', 1],
     ['Brent', 1, 'Dover', 1],
     ['Ashby', 0, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 6, 1, 4],
    ['Corby', 2, 2, 0, 1],
    ['Epsom', 2, 2, 0, 1],
    ['Dover', 2, 2, 0, 1],
    ['Ashby', 2, 1, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 0, 'Epsom', 0], ['Brent', 0, 'Epsom', 0], ['Ashby', 1, 'Epsom', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Ashby', 1, 3, 1, 1],
    ['Brent', 2, 2, 0, 0],
    ['Epsom', 3, 2, -1, 0],
    ['Corby', 0, 0, 0, 0],
    ['Dover', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Epsom', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 1],
     ['Dover', 1, 'Epsom', 2],
     ['Dover', 2, 'Ashby', 1],
     ['Brent', 3, 'Ashby', 0],
     ['Ashby', 0, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 3, 9, 4, 6],
    ['Brent', 3, 6, 3, 4],
    ['Dover', 2, 3, 0, 3],
    ['Corby', 0, 0, 0, 0],
    ['Ashby', 4, 0, -7, 2]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Ashby', 1],
     ['Dover', 1, 'Epsom', 1],
     ['Corby', 0, 'Brent', 1],
     ['Corby', 1, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 3, 5, 1, 3],
    ['Dover', 1, 1, 0, 1],
    ['Epsom', 1, 1, 0, 1],
    ['Ashby', 1, 1, 0, 1],
    ['Corby', 2, 1, -1, 1]]),
  ('regression: head to head metric',
   ([['Dover', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0], ['Epsom', 0, 'Ashby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 2, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Ashby', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Corby', 1, 'Ashby', 0],
     ['Ashby', 0, 'Corby', 0],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Brent', 1],
     ['Corby', 0, 'Brent', 1],
     ['Brent', 1, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 8, 2, 3], ['Corby', 5, 5, -1, 2], ['Ashby', 3, 2, -1, 0]]),
  ('variant scenario 2',
   ([['Brent', 0, 'Corby', 1],
     ['Brent', 1, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Corby', 3, 5, 1, 2], ['Brent', 4, 5, 0, 2], ['Ashby', 1, 0, -1, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Corby', 0, 'Ashby', 0], ['Epsom', 1, 'Dover', 0], ['Epsom', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 2, 'Ashby', 1],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Dover', 1],
     ['Dover', 0, 'Brent', 2],
     ['Dover', 0, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 8, 3, 5],
    ['Corby', 2, 2, 0, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Dover', 3, 2, -2, 1],
    ['Epsom', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Dover', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Ashby', 1, 'Dover', 1],
     ['Dover', 1, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Dover', 4, 4, 0, 3], ['Ashby', 3, 3, 0, 2], ['Brent', 2, 2, 0, 1], ['Corby', 1, 1, 0, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Dover', 0], ['Ashby', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Epsom', 0, 'Dover', 1],
     ['Epsom', 0, 'Corby', 1],
     ['Epsom', 1, 'Dover', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 3, 7, 2, 2],
    ['Dover', 2, 3, 0, 1],
    ['Epsom', 3, 3, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Ashby', 1, 0, -1, 0]]),
  ('variant scenario 2',
   ([['Ashby', 2, 'Brent', 1],
     ['Ashby', 1, 'Corby', 3],
     ['Brent', 3, 'Ashby', 2],
     ['Brent', 3, 'Corby', 2],
     ['Corby', 1, 'Ashby', 3],
     ['Corby', 3, 'Brent', 2]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 6, 0, 9], ['Corby', 4, 6, 0, 9], ['Ashby', 4, 6, 0, 8]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Ashby', 0, 'Corby', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Brent', 0, 'Epsom', 0],
     ['Dover', 0, 'Corby', 0],
     ['Ashby', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 4, 6, 1, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Brent', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Epsom', 0, 'Brent', 0],
     ['Corby', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 3],
     ['Brent', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 3, 3],
    ['Corby', 2, 4, 2, 3],
    ['Brent', 5, 4, -3, 1],
    ['Dover', 1, 1, 0, 0],
    ['Ashby', 2, 1, -2, 2]]),
  ('variant scenario 2',
   ([['Ashby', 1, 'Brent', 1], ['Corby', 0, 'Ashby', 1], ['Corby', 1, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Ashby', 2, 4, 1, 2], ['Corby', 2, 3, 0, 1], ['Brent', 2, 1, -1, 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 fixtureActualExpectedOutcome
control single win[['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]][['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]Passed
boundary draw[['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]][['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]Passed
boundary goals scored before name[['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]][['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]Passed
boundary head to head decides[['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]][['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]Passed
control no matches[['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]][['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]Passed
regression: head to head metric[['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]][['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]]Failed
variant scenario 1[['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]][['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]]Passed
variant scenario 2[['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]][['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]]Passed

SHA-256 / 8754a1b6b099f2a4bcc40d470c70a2d10937ca7bcc850acf24b2336f307ca496

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(results, teams):
    table = {t: {'p': 0, 'pts': 0, 'gd': 0, 'gf': 0} for t in teams}
    for h, hg, a, ag in results:
        for team, f, g in ((h, hg, ag), (a, ag, hg)):
            row = table[team]
            row['p'] += 1
            row['gf'] += f
            row['gd'] += f - g
            row['pts'] += 3 if f > g else (1 if f == g else 0)
    def key3(t):
        r = table[t]
        return (r['pts'], r['gd'], r['gf'])
    def h2h(t):
        group = [u for u in teams if key3(u) == key3(t)]
        pts = 0
        for h, hg, a, ag in results:
            if h in group and a in group and t in (h, a):
                f, g = (hg, ag) if t == h else (ag, hg)
                pts += f
        return pts
    order = sorted(teams, key=lambda t: (-key3(t)[0], -key3(t)[1], -key3(t)[2], -h2h(t), t))
    return [[t, table[t]['p'], table[t]['pts'], table[t]['gd'], table[t]['gf']] for t in order]
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 single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Epsom', 1, 'Brent', 1],
     ['Corby', 0, 'Epsom', 0],
     ['Corby', 1, 'Brent', 1],
     ['Brent', 1, 'Dover', 1],
     ['Ashby', 0, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 6, 1, 4],
    ['Corby', 2, 2, 0, 1],
    ['Epsom', 2, 2, 0, 1],
    ['Dover', 2, 2, 0, 1],
    ['Ashby', 2, 1, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 0, 'Epsom', 0], ['Brent', 0, 'Epsom', 0], ['Ashby', 1, 'Epsom', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Ashby', 1, 3, 1, 1],
    ['Brent', 2, 2, 0, 0],
    ['Epsom', 3, 2, -1, 0],
    ['Corby', 0, 0, 0, 0],
    ['Dover', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Epsom', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 1],
     ['Dover', 1, 'Epsom', 2],
     ['Dover', 2, 'Ashby', 1],
     ['Brent', 3, 'Ashby', 0],
     ['Ashby', 0, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 3, 9, 4, 6],
    ['Brent', 3, 6, 3, 4],
    ['Dover', 2, 3, 0, 3],
    ['Corby', 0, 0, 0, 0],
    ['Ashby', 4, 0, -7, 2]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Ashby', 1],
     ['Dover', 1, 'Epsom', 1],
     ['Corby', 0, 'Brent', 1],
     ['Corby', 1, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 3, 5, 1, 3],
    ['Dover', 1, 1, 0, 1],
    ['Epsom', 1, 1, 0, 1],
    ['Ashby', 1, 1, 0, 1],
    ['Corby', 2, 1, -1, 1]]),
  ('regression: head to head metric',
   ([['Dover', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0], ['Epsom', 0, 'Ashby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 2, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Ashby', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Corby', 1, 'Ashby', 0],
     ['Ashby', 0, 'Corby', 0],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Brent', 1],
     ['Corby', 0, 'Brent', 1],
     ['Brent', 1, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 8, 2, 3], ['Corby', 5, 5, -1, 2], ['Ashby', 3, 2, -1, 0]]),
  ('variant scenario 2',
   ([['Brent', 0, 'Corby', 1],
     ['Brent', 1, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Corby', 3, 5, 1, 2], ['Brent', 4, 5, 0, 2], ['Ashby', 1, 0, -1, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Corby', 0, 'Ashby', 0], ['Epsom', 1, 'Dover', 0], ['Epsom', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 2, 'Ashby', 1],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Dover', 1],
     ['Dover', 0, 'Brent', 2],
     ['Dover', 0, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 8, 3, 5],
    ['Corby', 2, 2, 0, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Dover', 3, 2, -2, 1],
    ['Epsom', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Dover', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Ashby', 1, 'Dover', 1],
     ['Dover', 1, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Dover', 4, 4, 0, 3], ['Ashby', 3, 3, 0, 2], ['Brent', 2, 2, 0, 1], ['Corby', 1, 1, 0, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Dover', 0], ['Ashby', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Epsom', 0, 'Dover', 1],
     ['Epsom', 0, 'Corby', 1],
     ['Epsom', 1, 'Dover', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 3, 7, 2, 2],
    ['Dover', 2, 3, 0, 1],
    ['Epsom', 3, 3, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Ashby', 1, 0, -1, 0]]),
  ('variant scenario 2',
   ([['Ashby', 2, 'Brent', 1],
     ['Ashby', 1, 'Corby', 3],
     ['Brent', 3, 'Ashby', 2],
     ['Brent', 3, 'Corby', 2],
     ['Corby', 1, 'Ashby', 3],
     ['Corby', 3, 'Brent', 2]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 6, 0, 9], ['Corby', 4, 6, 0, 9], ['Ashby', 4, 6, 0, 8]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Ashby', 0, 'Corby', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Brent', 0, 'Epsom', 0],
     ['Dover', 0, 'Corby', 0],
     ['Ashby', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 4, 6, 1, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Brent', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Epsom', 0, 'Brent', 0],
     ['Corby', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 3],
     ['Brent', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 3, 3],
    ['Corby', 2, 4, 2, 3],
    ['Brent', 5, 4, -3, 1],
    ['Dover', 1, 1, 0, 0],
    ['Ashby', 2, 1, -2, 2]]),
  ('variant scenario 2',
   ([['Ashby', 1, 'Brent', 1], ['Corby', 0, 'Ashby', 1], ['Corby', 1, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Ashby', 2, 4, 1, 2], ['Corby', 2, 3, 0, 1], ['Brent', 2, 1, -1, 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 fixtureActualExpectedOutcome
control single win[['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]][['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]Passed
boundary draw[['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]][['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]Passed
boundary goals scored before name[['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]][['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]Passed
boundary head to head decides[['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]][['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]Passed
control no matches[['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]][['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]Passed
regression: head to head metric[['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]][['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]]Failed
variant scenario 1[['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]][['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]]Passed
variant scenario 2[['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]][['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]]Passed

SHA-256 / 1397290bc9f742ac47b373f4d76f43eeec6d203a33fb299cca17d134cf92fe4d

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(results, teams):
    table = {t: {'p': 0, 'pts': 0, 'gd': 0, 'gf': 0} for t in teams}
    for h, hg, a, ag in results:
        for team, f, g in ((h, hg, ag), (a, ag, hg)):
            row = table[team]
            row['p'] += 1
            row['gf'] += f
            row['gd'] += f - g
            row['pts'] += 3 if f > g else (1 if f == g else 0)
    def key3(t):
        r = table[t]
        return (r['pts'], r['gd'], r['gf'])
    def h2h(t):
        group = [u for u in teams if key3(u) == key3(t)]
        pts = 0
        for h, hg, a, ag in results:
            if h in group and a in group and t in (h, a):
                f, g = (hg, ag) if t == h else (ag, hg)
                pts += 3 if f > g else (1 if f == g else 0)
        return pts
    order = sorted(teams, key=lambda t: (-key3(t)[0], -key3(t)[1], -key3(t)[2], -h2h(t), t))
    return [[t, table[t]['p'], table[t]['pts'], table[t]['gd'], table[t]['gf']] for t in order]
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 single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Epsom', 1, 'Brent', 1],
     ['Corby', 0, 'Epsom', 0],
     ['Corby', 1, 'Brent', 1],
     ['Brent', 1, 'Dover', 1],
     ['Ashby', 0, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 6, 1, 4],
    ['Corby', 2, 2, 0, 1],
    ['Epsom', 2, 2, 0, 1],
    ['Dover', 2, 2, 0, 1],
    ['Ashby', 2, 1, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 0, 'Epsom', 0], ['Brent', 0, 'Epsom', 0], ['Ashby', 1, 'Epsom', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Ashby', 1, 3, 1, 1],
    ['Brent', 2, 2, 0, 0],
    ['Epsom', 3, 2, -1, 0],
    ['Corby', 0, 0, 0, 0],
    ['Dover', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Epsom', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 1],
     ['Dover', 1, 'Epsom', 2],
     ['Dover', 2, 'Ashby', 1],
     ['Brent', 3, 'Ashby', 0],
     ['Ashby', 0, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 3, 9, 4, 6],
    ['Brent', 3, 6, 3, 4],
    ['Dover', 2, 3, 0, 3],
    ['Corby', 0, 0, 0, 0],
    ['Ashby', 4, 0, -7, 2]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Ashby', 1],
     ['Dover', 1, 'Epsom', 1],
     ['Corby', 0, 'Brent', 1],
     ['Corby', 1, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 3, 5, 1, 3],
    ['Dover', 1, 1, 0, 1],
    ['Epsom', 1, 1, 0, 1],
    ['Ashby', 1, 1, 0, 1],
    ['Corby', 2, 1, -1, 1]]),
  ('regression: head to head metric',
   ([['Dover', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0], ['Epsom', 0, 'Ashby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 2, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Ashby', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Corby', 1, 'Ashby', 0],
     ['Ashby', 0, 'Corby', 0],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Brent', 1],
     ['Corby', 0, 'Brent', 1],
     ['Brent', 1, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 8, 2, 3], ['Corby', 5, 5, -1, 2], ['Ashby', 3, 2, -1, 0]]),
  ('variant scenario 2',
   ([['Brent', 0, 'Corby', 1],
     ['Brent', 1, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Corby', 3, 5, 1, 2], ['Brent', 4, 5, 0, 2], ['Ashby', 1, 0, -1, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Corby', 0, 'Ashby', 0], ['Epsom', 1, 'Dover', 0], ['Epsom', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Brent', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Brent', 2, 'Ashby', 1],
     ['Brent', 0, 'Ashby', 0],
     ['Corby', 1, 'Dover', 1],
     ['Dover', 0, 'Brent', 2],
     ['Dover', 0, 'Ashby', 0],
     ['Brent', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 4, 8, 3, 5],
    ['Corby', 2, 2, 0, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Dover', 3, 2, -2, 1],
    ['Epsom', 0, 0, 0, 0]]),
  ('variant scenario 2',
   ([['Dover', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Ashby', 1, 'Dover', 1],
     ['Dover', 1, 'Brent', 1],
     ['Ashby', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Dover', 4, 4, 0, 3], ['Ashby', 3, 3, 0, 2], ['Brent', 2, 2, 0, 1], ['Corby', 1, 1, 0, 0]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Brent', 1, 'Dover', 0], ['Ashby', 0, 'Epsom', 0], ['Brent', 0, 'Corby', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Brent', 2, 4, 1, 1],
    ['Ashby', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Corby', 1, 1, 0, 0],
    ['Dover', 1, 0, -1, 0]]),
  ('variant scenario 1',
   ([['Epsom', 0, 'Dover', 1],
     ['Epsom', 0, 'Corby', 1],
     ['Epsom', 1, 'Dover', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Corby', 0, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 3, 7, 2, 2],
    ['Dover', 2, 3, 0, 1],
    ['Epsom', 3, 3, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Ashby', 1, 0, -1, 0]]),
  ('variant scenario 2',
   ([['Ashby', 2, 'Brent', 1],
     ['Ashby', 1, 'Corby', 3],
     ['Brent', 3, 'Ashby', 2],
     ['Brent', 3, 'Corby', 2],
     ['Corby', 1, 'Ashby', 3],
     ['Corby', 3, 'Brent', 2]],
    ['Ashby', 'Brent', 'Corby']),
   [['Brent', 4, 6, 0, 9], ['Corby', 4, 6, 0, 9], ['Ashby', 4, 6, 0, 8]])],
 [('control single win',
   ([['Ashby', 2, 'Brent', 0]], ['Ashby', 'Brent']),
   [['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]),
  ('boundary draw',
   ([['Ashby', 1, 'Brent', 1]], ['Brent', 'Ashby']),
   [['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]),
  ('boundary goals scored before name',
   ([['Ashby', 1, 'Corby', 1], ['Brent', 2, 'Corby', 2]], ['Ashby', 'Brent', 'Corby']),
   [['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]),
  ('boundary head to head decides',
   ([['Brent', 2, 'Ashby', 1], ['Ashby', 2, 'Dover', 1], ['Corby', 2, 'Brent', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover']),
   [['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]),
  ('control no matches', ([], ['Corby', 'Ashby']), [['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]),
  ('regression: head to head metric',
   ([['Ashby', 0, 'Corby', 0],
     ['Ashby', 0, 'Corby', 1],
     ['Brent', 0, 'Epsom', 0],
     ['Dover', 0, 'Corby', 0],
     ['Ashby', 1, 'Corby', 1]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Corby', 4, 6, 1, 2],
    ['Ashby', 3, 2, -1, 1],
    ['Brent', 1, 1, 0, 0],
    ['Epsom', 1, 1, 0, 0],
    ['Dover', 1, 1, 0, 0]]),
  ('variant scenario 1',
   ([['Brent', 1, 'Ashby', 1],
     ['Corby', 0, 'Brent', 0],
     ['Epsom', 0, 'Brent', 0],
     ['Corby', 3, 'Ashby', 1],
     ['Brent', 0, 'Epsom', 3],
     ['Brent', 0, 'Dover', 0]],
    ['Ashby', 'Brent', 'Corby', 'Dover', 'Epsom']),
   [['Epsom', 2, 4, 3, 3],
    ['Corby', 2, 4, 2, 3],
    ['Brent', 5, 4, -3, 1],
    ['Dover', 1, 1, 0, 0],
    ['Ashby', 2, 1, -2, 2]]),
  ('variant scenario 2',
   ([['Ashby', 1, 'Brent', 1], ['Corby', 0, 'Ashby', 1], ['Corby', 1, 'Brent', 0]],
    ['Ashby', 'Brent', 'Corby']),
   [['Ashby', 2, 4, 1, 2], ['Corby', 2, 3, 0, 1], ['Brent', 2, 1, -1, 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 fixtureActualExpectedOutcome
control single win[['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]][['Ashby', 1, 3, 2, 2], ['Brent', 1, 0, -2, 0]]Passed
boundary draw[['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]][['Ashby', 1, 1, 0, 1], ['Brent', 1, 1, 0, 1]]Passed
boundary goals scored before name[['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]][['Corby', 2, 2, 0, 3], ['Brent', 1, 1, 0, 2], ['Ashby', 1, 1, 0, 1]]Passed
boundary head to head decides[['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]][['Corby', 1, 3, 1, 2], ['Brent', 2, 3, 0, 3], ['Ashby', 2, 3, 0, 3], ['Dover', 1, 0, -1, 1]]Passed
control no matches[['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]][['Ashby', 0, 0, 0, 0], ['Corby', 0, 0, 0, 0]]Passed
regression: head to head metric[['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]][['Brent', 4, 6, 1, 4], ['Corby', 2, 2, 0, 1], ['Epsom', 2, 2, 0, 1], ['Dover', 2, 2, 0, 1], ['Ashby', 2, 1, -1, 0]]Passed
variant scenario 1[['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]][['Ashby', 1, 3, 1, 1], ['Brent', 2, 2, 0, 0], ['Epsom', 3, 2, -1, 0], ['Corby', 0, 0, 0, 0], ['Dover', 0, 0, 0, 0]]Passed
variant scenario 2[['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]][['Epsom', 3, 9, 4, 6], ['Brent', 3, 6, 3, 4], ['Dover', 2, 3, 0, 3], ['Corby', 0, 0, 0, 0], ['Ashby', 4, 0, -7, 2]]Passed

SHA-256 / 999143f2e405da64aae85906cb210cd9e426205ffd7b5fcc17601454c50e7569

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 2026-09-29T14:50:27.169618+00:00.

Case digest / badf5db16b26eb1ccef7af47ee522a37b300a0383f4fd357b1d86182517d5bce