FA-79901 / Typography line breaking / Open access
Total-fit paragraph demerits: initial fitness class · case 01
The first line pays adjacency demerits it should not.
ROOT CAUSE
The paragraph start node is seeded with the tight class instead of decent.
VERIFIED REPAIR
Seed the start node with fitness class 1 (decent).
Unsuccessful approach: Seeding with very loose penalises the opposite set of first lines.
Case contract
Input [word widths, [space, stretch, shrink] per gap, line width, line penalty]. A line i..j has gaps=j-i-1. The last line has zero badness when not overfull. Other lines use ratio shortfall/(stretch*gaps) or /(shrink*gaps); zero stretch with slack or compression past shrink is infeasible; badness=min(10000, floor(100|r|^3+1/2)) and must be <=1000. Fitness 0 tight (r<-1/2), 1 decent (r<=1/2), 2 loose (r<=1), 3 very loose; last line decent. Demerits (lp+b)^2 plus 3000 when adjacent fitness classes differ by more than 1, starting from decent. Return [min total demerits, break list] (ties: first found) or ["infeasible"].
Why this case matters
Line breaking decides where paragraphs wrap on screen and in print; a wrong decision point shifts every following line.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
words, glue, width, lp = x
sp, st, sh = glue
n = len(words)
def rate(i, j):
gaps = j - i - 1
nat = sum(words[i:j]) + sp * gaps
short = width - nat
if j == n and short >= 0:
return 0, 1
if short > 0:
if st * gaps == 0:
return None
r = Fraction(short, st * gaps)
elif short < 0:
if -short > sh * gaps:
return None
r = Fraction(short, sh * gaps)
else:
r = Fraction(0)
b = min(10000, math.floor(100 * abs(r) ** 3 + Fraction(1, 2)))
if b > 1000:
return None
fit = 0 if r < Fraction(-1, 2) else 1 if r <= Fraction(1, 2) else 2 if r <= 1 else 3
return b, fit
best = {(0, 0): (0, [])}
for j in range(1, n + 1):
for i in range(j):
rated = rate(i, j)
if rated is None:
continue
b, fit = rated
for (pos, pfit), (dem, brk) in sorted(best.items()):
if pos != i:
continue
d = dem + (lp + b) ** 2
if abs(fit - pfit) > 1:
d += 3000
key = (j, fit)
if key not in best or d < best[key][0]:
best[key] = (d, brk + [j])
finals = [v for (pos, f), v in best.items() if pos == n]
if not finals:
return ['infeasible']
d, brk = min(finals)
return [d, brk]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: initial fitness class', [[7, 6, 7, 4, 4, 2], [2, 1, 2], 16, 10], [17904, [2, 5, 6]]), ('regression: initial fitness class', [[4, 2, 3, 4], [2, 1, 0], 15, 10], [12200, [3, 4]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('partial-repair probe', [[2, 3, 3], [1, 3, 1], 12, 10], [100, [3]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('control layout', [[4, 7, 7, 7, 3, 6, 6], [3, 2, 1], 15, 10], ['infeasible']), ('control layout', [[4, 3, 7, 7, 7], [1, 1, 1], 11, 10], ['infeasible'])], [('regression: initial fitness class', [[4, 1, 1, 6, 4], [3, 1, 0], 24, 10], [12200, [4, 5]]), ('regression: initial fitness class', [[3, 3, 4, 3, 2], [3, 3, 0], 12, 50], [31400, [2, 4, 5]]), ('partial-repair probe', [[1, 6, 7, 3, 5, 6, 7], [2, 1, 1], 18, 50], [7500, [3, 6, 7]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[1, 4, 7, 1, 7, 3, 2, 4], [2, 1, 0], 14, 10], ['infeasible']), ('control layout', [[4, 6, 6, 4, 1, 5, 4], [2, 1, 0], 17, 50], ['infeasible'])], [('regression: initial fitness class', [[1, 5, 4, 4], [1, 2, 0], 15, 10], [2804, [3, 4]]), ('regression: initial fitness class', [[1, 3, 1, 3, 5, 5, 3, 3], [3, 2, 0], 23, 10], [24300, [4, 7, 8]]), ('partial-repair probe', [[6, 2, 2, 4], [3, 2, 2], 20, 10], [529, [4]]), ('partial-repair probe', [[6, 3, 6, 2, 1, 4, 3], [2, 2, 1], 20, 10], [244, [3, 7]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[6, 1, 6, 5, 5, 2, 6], [2, 2, 0], 16, 1], ['infeasible']), ('control layout', [[1, 7, 7, 7, 5, 1, 2, 4], [1, 2, 0], 14, 1], ['infeasible'])], [('regression: initial fitness class', [[3, 3, 4, 4], [3, 3, 2], 12, 10], [12200, [2, 4]]), ('regression: initial fitness class', [[2, 7, 5, 2, 5], [3, 2, 0], 14, 10], [671300, [2, 4, 5]]), ('partial-repair probe', [[5, 3, 3, 2, 5], [1, 3, 2], 22, 10], [100, [5]]), ('partial-repair probe', [[4, 1, 6, 6, 3, 1, 1, 3], [3, 2, 0], 18, 10], [773, [3, 6, 8]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[7, 4, 7, 2, 4, 2, 1], [2, 1, 0], 17, 10], ['infeasible']), ('control layout', [[2, 6, 7, 3, 1, 5, 5, 1], [1, 1, 1], 9, 1], ['infeasible'])], [('regression: initial fitness class', [[2, 6, 2, 3, 4, 3, 5], [1, 1, 0], 14, 10], [24300, [3, 6, 7]]), ('regression: initial fitness class', [[3, 6, 1, 7, 2], [1, 1, 0], 22, 10], [1700, [4, 5]]), ('partial-repair probe', [[1, 3, 7], [3, 2, 2], 11, 1], [647602, [2, 3]]), ('partial-repair probe', [[3, 7, 7, 6, 1, 6, 1], [2, 1, 2], 20, 1], [10, [3, 7]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[2, 6, 3, 3, 7, 7], [3, 3, 1], 12, 1], ['infeasible']), ('control layout', [[3, 7, 1, 4, 7, 4], [3, 2, 0], 11, 10], ['infeasible'])]]
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: initial fitness class | [20904, [2, 5, 6]] | [17904, [2, 5, 6]] | Failed |
| regression: initial fitness class | [15200, [3, 4]] | [12200, [3, 4]] | Failed |
| partial-repair probe | [1, [3]] | [1, [3]] | Passed |
| partial-repair probe | [100, [3]] | [100, [3]] | Passed |
| last line overfull | ['infeasible'] | ['infeasible'] | Passed |
| tight then loose lines | [20403, [3, 6, 7]] | [20403, [3, 6, 7]] | Passed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
SHA-256 / 5642a44a62e90bf3f320847267851ef80adcabc083e7901cd4f37ee194c7711f
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
words, glue, width, lp = x
sp, st, sh = glue
n = len(words)
def rate(i, j):
gaps = j - i - 1
nat = sum(words[i:j]) + sp * gaps
short = width - nat
if j == n and short >= 0:
return 0, 1
if short > 0:
if st * gaps == 0:
return None
r = Fraction(short, st * gaps)
elif short < 0:
if -short > sh * gaps:
return None
r = Fraction(short, sh * gaps)
else:
r = Fraction(0)
b = min(10000, math.floor(100 * abs(r) ** 3 + Fraction(1, 2)))
if b > 1000:
return None
fit = 0 if r < Fraction(-1, 2) else 1 if r <= Fraction(1, 2) else 2 if r <= 1 else 3
return b, fit
best = {(0, 3): (0, [])}
for j in range(1, n + 1):
for i in range(j):
rated = rate(i, j)
if rated is None:
continue
b, fit = rated
for (pos, pfit), (dem, brk) in sorted(best.items()):
if pos != i:
continue
d = dem + (lp + b) ** 2
if abs(fit - pfit) > 1:
d += 3000
key = (j, fit)
if key not in best or d < best[key][0]:
best[key] = (d, brk + [j])
finals = [v for (pos, f), v in best.items() if pos == n]
if not finals:
return ['infeasible']
d, brk = min(finals)
return [d, brk]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: initial fitness class', [[7, 6, 7, 4, 4, 2], [2, 1, 2], 16, 10], [17904, [2, 5, 6]]), ('regression: initial fitness class', [[4, 2, 3, 4], [2, 1, 0], 15, 10], [12200, [3, 4]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('partial-repair probe', [[2, 3, 3], [1, 3, 1], 12, 10], [100, [3]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('control layout', [[4, 7, 7, 7, 3, 6, 6], [3, 2, 1], 15, 10], ['infeasible']), ('control layout', [[4, 3, 7, 7, 7], [1, 1, 1], 11, 10], ['infeasible'])], [('regression: initial fitness class', [[4, 1, 1, 6, 4], [3, 1, 0], 24, 10], [12200, [4, 5]]), ('regression: initial fitness class', [[3, 3, 4, 3, 2], [3, 3, 0], 12, 50], [31400, [2, 4, 5]]), ('partial-repair probe', [[1, 6, 7, 3, 5, 6, 7], [2, 1, 1], 18, 50], [7500, [3, 6, 7]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[1, 4, 7, 1, 7, 3, 2, 4], [2, 1, 0], 14, 10], ['infeasible']), ('control layout', [[4, 6, 6, 4, 1, 5, 4], [2, 1, 0], 17, 50], ['infeasible'])], [('regression: initial fitness class', [[1, 5, 4, 4], [1, 2, 0], 15, 10], [2804, [3, 4]]), ('regression: initial fitness class', [[1, 3, 1, 3, 5, 5, 3, 3], [3, 2, 0], 23, 10], [24300, [4, 7, 8]]), ('partial-repair probe', [[6, 2, 2, 4], [3, 2, 2], 20, 10], [529, [4]]), ('partial-repair probe', [[6, 3, 6, 2, 1, 4, 3], [2, 2, 1], 20, 10], [244, [3, 7]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[6, 1, 6, 5, 5, 2, 6], [2, 2, 0], 16, 1], ['infeasible']), ('control layout', [[1, 7, 7, 7, 5, 1, 2, 4], [1, 2, 0], 14, 1], ['infeasible'])], [('regression: initial fitness class', [[3, 3, 4, 4], [3, 3, 2], 12, 10], [12200, [2, 4]]), ('regression: initial fitness class', [[2, 7, 5, 2, 5], [3, 2, 0], 14, 10], [671300, [2, 4, 5]]), ('partial-repair probe', [[5, 3, 3, 2, 5], [1, 3, 2], 22, 10], [100, [5]]), ('partial-repair probe', [[4, 1, 6, 6, 3, 1, 1, 3], [3, 2, 0], 18, 10], [773, [3, 6, 8]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[7, 4, 7, 2, 4, 2, 1], [2, 1, 0], 17, 10], ['infeasible']), ('control layout', [[2, 6, 7, 3, 1, 5, 5, 1], [1, 1, 1], 9, 1], ['infeasible'])], [('regression: initial fitness class', [[2, 6, 2, 3, 4, 3, 5], [1, 1, 0], 14, 10], [24300, [3, 6, 7]]), ('regression: initial fitness class', [[3, 6, 1, 7, 2], [1, 1, 0], 22, 10], [1700, [4, 5]]), ('partial-repair probe', [[1, 3, 7], [3, 2, 2], 11, 1], [647602, [2, 3]]), ('partial-repair probe', [[3, 7, 7, 6, 1, 6, 1], [2, 1, 2], 20, 1], [10, [3, 7]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[2, 6, 3, 3, 7, 7], [3, 3, 1], 12, 1], ['infeasible']), ('control layout', [[3, 7, 1, 4, 7, 4], [3, 2, 0], 11, 10], ['infeasible'])]]
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: initial fitness class | [17904, [2, 5, 6]] | [17904, [2, 5, 6]] | Passed |
| regression: initial fitness class | [12200, [3, 4]] | [12200, [3, 4]] | Passed |
| partial-repair probe | [3001, [3]] | [1, [3]] | Failed |
| partial-repair probe | [3100, [3]] | [100, [3]] | Failed |
| last line overfull | ['infeasible'] | ['infeasible'] | Passed |
| tight then loose lines | [23403, [3, 6, 7]] | [20403, [3, 6, 7]] | Failed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
SHA-256 / 144c87b98e65d40f6b4baccbcf4f1578d5c70aba561f71f04c8326fdf9191952
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
words, glue, width, lp = x
sp, st, sh = glue
n = len(words)
def rate(i, j):
gaps = j - i - 1
nat = sum(words[i:j]) + sp * gaps
short = width - nat
if j == n and short >= 0:
return 0, 1
if short > 0:
if st * gaps == 0:
return None
r = Fraction(short, st * gaps)
elif short < 0:
if -short > sh * gaps:
return None
r = Fraction(short, sh * gaps)
else:
r = Fraction(0)
b = min(10000, math.floor(100 * abs(r) ** 3 + Fraction(1, 2)))
if b > 1000:
return None
fit = 0 if r < Fraction(-1, 2) else 1 if r <= Fraction(1, 2) else 2 if r <= 1 else 3
return b, fit
best = {(0, 1): (0, [])}
for j in range(1, n + 1):
for i in range(j):
rated = rate(i, j)
if rated is None:
continue
b, fit = rated
for (pos, pfit), (dem, brk) in sorted(best.items()):
if pos != i:
continue
d = dem + (lp + b) ** 2
if abs(fit - pfit) > 1:
d += 3000
key = (j, fit)
if key not in best or d < best[key][0]:
best[key] = (d, brk + [j])
finals = [v for (pos, f), v in best.items() if pos == n]
if not finals:
return ['infeasible']
d, brk = min(finals)
return [d, brk]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: initial fitness class', [[7, 6, 7, 4, 4, 2], [2, 1, 2], 16, 10], [17904, [2, 5, 6]]), ('regression: initial fitness class', [[4, 2, 3, 4], [2, 1, 0], 15, 10], [12200, [3, 4]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('partial-repair probe', [[2, 3, 3], [1, 3, 1], 12, 10], [100, [3]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('control layout', [[4, 7, 7, 7, 3, 6, 6], [3, 2, 1], 15, 10], ['infeasible']), ('control layout', [[4, 3, 7, 7, 7], [1, 1, 1], 11, 10], ['infeasible'])], [('regression: initial fitness class', [[4, 1, 1, 6, 4], [3, 1, 0], 24, 10], [12200, [4, 5]]), ('regression: initial fitness class', [[3, 3, 4, 3, 2], [3, 3, 0], 12, 50], [31400, [2, 4, 5]]), ('partial-repair probe', [[1, 6, 7, 3, 5, 6, 7], [2, 1, 1], 18, 50], [7500, [3, 6, 7]]), ('partial-repair probe', [[2, 5, 1], [1, 1, 2], 12, 1], [1, [3]]), ('tight then loose lines', [[3, 3, 3, 3, 3, 3, 3], [2, 2, 1], 11, 1], [20403, [3, 6, 7]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[1, 4, 7, 1, 7, 3, 2, 4], [2, 1, 0], 14, 10], ['infeasible']), ('control layout', [[4, 6, 6, 4, 1, 5, 4], [2, 1, 0], 17, 50], ['infeasible'])], [('regression: initial fitness class', [[1, 5, 4, 4], [1, 2, 0], 15, 10], [2804, [3, 4]]), ('regression: initial fitness class', [[1, 3, 1, 3, 5, 5, 3, 3], [3, 2, 0], 23, 10], [24300, [4, 7, 8]]), ('partial-repair probe', [[6, 2, 2, 4], [3, 2, 2], 20, 10], [529, [4]]), ('partial-repair probe', [[6, 3, 6, 2, 1, 4, 3], [2, 2, 1], 20, 10], [244, [3, 7]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('control layout', [[6, 1, 6, 5, 5, 2, 6], [2, 2, 0], 16, 1], ['infeasible']), ('control layout', [[1, 7, 7, 7, 5, 1, 2, 4], [1, 2, 0], 14, 1], ['infeasible'])], [('regression: initial fitness class', [[3, 3, 4, 4], [3, 3, 2], 12, 10], [12200, [2, 4]]), ('regression: initial fitness class', [[2, 7, 5, 2, 5], [3, 2, 0], 14, 10], [671300, [2, 4, 5]]), ('partial-repair probe', [[5, 3, 3, 2, 5], [1, 3, 2], 22, 10], [100, [5]]), ('partial-repair probe', [[4, 1, 6, 6, 3, 1, 1, 3], [3, 2, 0], 18, 10], [773, [3, 6, 8]]), ('single word paragraph', [[7], [2, 2, 1], 10, 10], [100, [1]]), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[7, 4, 7, 2, 4, 2, 1], [2, 1, 0], 17, 10], ['infeasible']), ('control layout', [[2, 6, 7, 3, 1, 5, 5, 1], [1, 1, 1], 9, 1], ['infeasible'])], [('regression: initial fitness class', [[2, 6, 2, 3, 4, 3, 5], [1, 1, 0], 14, 10], [24300, [3, 6, 7]]), ('regression: initial fitness class', [[3, 6, 1, 7, 2], [1, 1, 0], 22, 10], [1700, [4, 5]]), ('partial-repair probe', [[1, 3, 7], [3, 2, 2], 11, 1], [647602, [2, 3]]), ('partial-repair probe', [[3, 7, 7, 6, 1, 6, 1], [2, 1, 2], 20, 1], [10, [3, 7]]), ('last line overfull', [[5, 5, 5], [1, 1, 0], 9, 10], ['infeasible']), ('two-line paragraph with loose first line', [[4, 5, 3, 6], [2, 2, 1], 14, 10], [12200, [3, 4]]), ('control layout', [[2, 6, 3, 3, 7, 7], [3, 3, 1], 12, 1], ['infeasible']), ('control layout', [[3, 7, 1, 4, 7, 4], [3, 2, 0], 11, 10], ['infeasible'])]]
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: initial fitness class | [17904, [2, 5, 6]] | [17904, [2, 5, 6]] | Passed |
| regression: initial fitness class | [12200, [3, 4]] | [12200, [3, 4]] | Passed |
| partial-repair probe | [1, [3]] | [1, [3]] | Passed |
| partial-repair probe | [100, [3]] | [100, [3]] | Passed |
| last line overfull | ['infeasible'] | ['infeasible'] | Passed |
| tight then loose lines | [20403, [3, 6, 7]] | [20403, [3, 6, 7]] | Passed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
| control layout | ['infeasible'] | ['infeasible'] | Passed |
SHA-256 / b8991de38736e64e7105765fdfa5ab57f15e4d52b96916c3c0b9f415406cfe64
Verification & scope
A deterministic toy typesetting model with integer widths and a stipulated rule set; it does not claim conformance to any engine. 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 2026-09-29T14:49:48.863073+00:00.
Case digest / 2e3296e92f508f2503c022c530db2182bc81e5efc5d438a784fbbcde8c4640b8