FA-71616 / Seismic magnitude estimation / Open access

Omori-Utsu expected aftershock count: p equals one logarithm · case 01

Forecasts for p = 1 sequences are 2.3 times too low.

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

ROOT CAUSE

The p = 1 integral uses log10 instead of the natural log.

VERIFIED REPAIR

Use ln((t2+c)/(t1+c)).

Unsuccessful approach: ln(t2 - t1) ignores the c offset and the window start.

Case contract

Rate K/(t+c)^p aftershocks per day. Expected count on [t1, t2] days: for p == 1 (within 1e-12) K ln((t2+c)/(t1+c)); otherwise K((t1+c)^(1-p) - (t2+c)^(1-p))/(p-1). t1 < 0 or t2 <= t1 returns None. Round to 0.001.

Why this case matters

Aftershock forecasts integrate the Omori-Utsu rate over the forecast window.

1 / The failure

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(k, c, p, t1, t2):
    if t1 < 0 or t2 <= t1:
        return None
    if abs(p - 1.0) < 1e-12:
        n = k * (math.log10(t2 + c) - math.log10(t1 + c))
    else:
        n = k * ((t1 + c) ** (1 - p) - (t2 + c) ** (1 - p)) / (p - 1)
    return round(n, 3)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['K 50.0 c 0.01 p 0.8 window 0.0-1.0 d', [50.0, 0.01, 0.8, 0.0, 1.0], 150.971], ['K 50.0 c 0.01 p 0.8 window 0.5-10.0 d', [50.0, 0.01, 0.8, 0.5, 10.0], 177.801], ['K 50.0 c 0.01 p 0.8 window 1.0-30.0 d', [50.0, 0.01, 0.8, 1.0, 30.0], 243.123], ['K 50.0 c 0.01 p 0.8 window 5.0-5.0 d', [50.0, 0.01, 0.8, 5.0, 5.0], None], ['K 50.0 c 0.01 p 0.8 window 3.0-2.0 d', [50.0, 0.01, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.01 p 0.8 window 0.0-0.0 d', [50.0, 0.01, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846]], [['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846], ['K 50.0 c 0.01 p 1.0 window 1.0-30.0 d', [50.0, 0.01, 1.0, 1.0, 30.0], 169.579], ['K 50.0 c 0.01 p 1.0 window 5.0-5.0 d', [50.0, 0.01, 1.0, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.0 window 3.0-2.0 d', [50.0, 0.01, 1.0, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-0.0 d', [50.0, 0.01, 1.0, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-1.0 d', [50.0, 0.01, 1.1, 0.0, 1.0], 292.944], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024]], [['K 50.0 c 0.01 p 1.1 window 1.0-30.0 d', [50.0, 0.01, 1.1, 1.0, 30.0], 143.672], ['K 50.0 c 0.01 p 1.1 window 5.0-5.0 d', [50.0, 0.01, 1.1, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.1 window 3.0-2.0 d', [50.0, 0.01, 1.1, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-0.0 d', [50.0, 0.01, 1.1, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-1.0 d', [50.0, 0.01, 1.3, 0.0, 1.0], 497.342], ['K 50.0 c 0.01 p 1.3 window 0.5-10.0 d', [50.0, 0.01, 1.3, 0.5, 10.0], 120.469], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024], ['K 200.0 c 0.05 p 1.0 window 1.0-30.0 d', [200.0, 0.05, 1.0, 1.0, 30.0], 670.814]], [['K 50.0 c 0.01 p 1.3 window 5.0-5.0 d', [50.0, 0.01, 1.3, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.3 window 3.0-2.0 d', [50.0, 0.01, 1.3, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-0.0 d', [50.0, 0.01, 1.3, 0.0, 0.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-1.0 d', [50.0, 0.05, 0.8, 0.0, 1.0], 115.131], ['K 50.0 c 0.05 p 0.8 window 0.5-10.0 d', [50.0, 0.05, 0.8, 0.5, 10.0], 174.793], ['K 50.0 c 0.05 p 0.8 window 1.0-30.0 d', [50.0, 0.05, 0.8, 1.0, 30.0], 241.301], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]], [['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.05 p 0.8 window 3.0-2.0 d', [50.0, 0.05, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-0.0 d', [50.0, 0.05, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 50.0 c 0.05 p 1.0 window 1.0-30.0 d', [50.0, 0.05, 1.0, 1.0, 30.0], 167.704], ['K 50.0 c 0.05 p 1.0 window 5.0-5.0 d', [50.0, 0.05, 1.0, 5.0, 5.0], None], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]]]
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
K 50.0 c 0.01 p 0.8 window 0.0-1.0 d	`150.971`	`150.971`	Passed
K 50.0 c 0.01 p 0.8 window 0.5-10.0 d	`177.801`	`177.801`	Passed
K 50.0 c 0.01 p 0.8 window 1.0-30.0 d	`243.123`	`243.123`	Passed
K 50.0 c 0.01 p 0.8 window 5.0-5.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 3.0-2.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 0.0-0.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 1.0 window 0.0-1.0 d	`100.216`	`230.756`	Failed
K 50.0 c 0.01 p 1.0 window 0.5-10.0 d	`64.643`	`148.846`	Failed

SHA-256 / fe595809f23239a6c39374755215296be279c35d135fde024dbc266010622e7d

2 / The unsuccessful fix

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(k, c, p, t1, t2):
    if t1 < 0 or t2 <= t1:
        return None
    if abs(p - 1.0) < 1e-12:
        n = k * math.log(t2 - t1)
    else:
        n = k * ((t1 + c) ** (1 - p) - (t2 + c) ** (1 - p)) / (p - 1)
    return round(n, 3)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['K 50.0 c 0.01 p 0.8 window 0.0-1.0 d', [50.0, 0.01, 0.8, 0.0, 1.0], 150.971], ['K 50.0 c 0.01 p 0.8 window 0.5-10.0 d', [50.0, 0.01, 0.8, 0.5, 10.0], 177.801], ['K 50.0 c 0.01 p 0.8 window 1.0-30.0 d', [50.0, 0.01, 0.8, 1.0, 30.0], 243.123], ['K 50.0 c 0.01 p 0.8 window 5.0-5.0 d', [50.0, 0.01, 0.8, 5.0, 5.0], None], ['K 50.0 c 0.01 p 0.8 window 3.0-2.0 d', [50.0, 0.01, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.01 p 0.8 window 0.0-0.0 d', [50.0, 0.01, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846]], [['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846], ['K 50.0 c 0.01 p 1.0 window 1.0-30.0 d', [50.0, 0.01, 1.0, 1.0, 30.0], 169.579], ['K 50.0 c 0.01 p 1.0 window 5.0-5.0 d', [50.0, 0.01, 1.0, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.0 window 3.0-2.0 d', [50.0, 0.01, 1.0, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-0.0 d', [50.0, 0.01, 1.0, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-1.0 d', [50.0, 0.01, 1.1, 0.0, 1.0], 292.944], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024]], [['K 50.0 c 0.01 p 1.1 window 1.0-30.0 d', [50.0, 0.01, 1.1, 1.0, 30.0], 143.672], ['K 50.0 c 0.01 p 1.1 window 5.0-5.0 d', [50.0, 0.01, 1.1, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.1 window 3.0-2.0 d', [50.0, 0.01, 1.1, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-0.0 d', [50.0, 0.01, 1.1, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-1.0 d', [50.0, 0.01, 1.3, 0.0, 1.0], 497.342], ['K 50.0 c 0.01 p 1.3 window 0.5-10.0 d', [50.0, 0.01, 1.3, 0.5, 10.0], 120.469], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024], ['K 200.0 c 0.05 p 1.0 window 1.0-30.0 d', [200.0, 0.05, 1.0, 1.0, 30.0], 670.814]], [['K 50.0 c 0.01 p 1.3 window 5.0-5.0 d', [50.0, 0.01, 1.3, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.3 window 3.0-2.0 d', [50.0, 0.01, 1.3, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-0.0 d', [50.0, 0.01, 1.3, 0.0, 0.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-1.0 d', [50.0, 0.05, 0.8, 0.0, 1.0], 115.131], ['K 50.0 c 0.05 p 0.8 window 0.5-10.0 d', [50.0, 0.05, 0.8, 0.5, 10.0], 174.793], ['K 50.0 c 0.05 p 0.8 window 1.0-30.0 d', [50.0, 0.05, 0.8, 1.0, 30.0], 241.301], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]], [['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.05 p 0.8 window 3.0-2.0 d', [50.0, 0.05, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-0.0 d', [50.0, 0.05, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 50.0 c 0.05 p 1.0 window 1.0-30.0 d', [50.0, 0.05, 1.0, 1.0, 30.0], 167.704], ['K 50.0 c 0.05 p 1.0 window 5.0-5.0 d', [50.0, 0.05, 1.0, 5.0, 5.0], None], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]]]
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
K 50.0 c 0.01 p 0.8 window 0.0-1.0 d	`150.971`	`150.971`	Passed
K 50.0 c 0.01 p 0.8 window 0.5-10.0 d	`177.801`	`177.801`	Passed
K 50.0 c 0.01 p 0.8 window 1.0-30.0 d	`243.123`	`243.123`	Passed
K 50.0 c 0.01 p 0.8 window 5.0-5.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 3.0-2.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 0.0-0.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 1.0 window 0.0-1.0 d	`0.0`	`230.756`	Failed
K 50.0 c 0.01 p 1.0 window 0.5-10.0 d	`112.565`	`148.846`	Failed

SHA-256 / 8edd6f8538155e8de12cbb541ae47bf51ed2169adaed9542862d5113a9118f0f

3 / The verified repair

Exit 0

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(k, c, p, t1, t2):
    if t1 < 0 or t2 <= t1:
        return None
    if abs(p - 1.0) < 1e-12:
        n = k * (math.log(t2 + c) - math.log(t1 + c))
    else:
        n = k * ((t1 + c) ** (1 - p) - (t2 + c) ** (1 - p)) / (p - 1)
    return round(n, 3)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['K 50.0 c 0.01 p 0.8 window 0.0-1.0 d', [50.0, 0.01, 0.8, 0.0, 1.0], 150.971], ['K 50.0 c 0.01 p 0.8 window 0.5-10.0 d', [50.0, 0.01, 0.8, 0.5, 10.0], 177.801], ['K 50.0 c 0.01 p 0.8 window 1.0-30.0 d', [50.0, 0.01, 0.8, 1.0, 30.0], 243.123], ['K 50.0 c 0.01 p 0.8 window 5.0-5.0 d', [50.0, 0.01, 0.8, 5.0, 5.0], None], ['K 50.0 c 0.01 p 0.8 window 3.0-2.0 d', [50.0, 0.01, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.01 p 0.8 window 0.0-0.0 d', [50.0, 0.01, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846]], [['K 50.0 c 0.01 p 1.0 window 0.5-10.0 d', [50.0, 0.01, 1.0, 0.5, 10.0], 148.846], ['K 50.0 c 0.01 p 1.0 window 1.0-30.0 d', [50.0, 0.01, 1.0, 1.0, 30.0], 169.579], ['K 50.0 c 0.01 p 1.0 window 5.0-5.0 d', [50.0, 0.01, 1.0, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.0 window 3.0-2.0 d', [50.0, 0.01, 1.0, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.0 window 0.0-0.0 d', [50.0, 0.01, 1.0, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-1.0 d', [50.0, 0.01, 1.1, 0.0, 1.0], 292.944], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024]], [['K 50.0 c 0.01 p 1.1 window 1.0-30.0 d', [50.0, 0.01, 1.1, 1.0, 30.0], 143.672], ['K 50.0 c 0.01 p 1.1 window 5.0-5.0 d', [50.0, 0.01, 1.1, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.1 window 3.0-2.0 d', [50.0, 0.01, 1.1, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.1 window 0.0-0.0 d', [50.0, 0.01, 1.1, 0.0, 0.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-1.0 d', [50.0, 0.01, 1.3, 0.0, 1.0], 497.342], ['K 50.0 c 0.01 p 1.3 window 0.5-10.0 d', [50.0, 0.01, 1.3, 0.5, 10.0], 120.469], ['K 200.0 c 0.01 p 1.0 window 0.0-1.0 d', [200.0, 0.01, 1.0, 0.0, 1.0], 923.024], ['K 200.0 c 0.05 p 1.0 window 1.0-30.0 d', [200.0, 0.05, 1.0, 1.0, 30.0], 670.814]], [['K 50.0 c 0.01 p 1.3 window 5.0-5.0 d', [50.0, 0.01, 1.3, 5.0, 5.0], None], ['K 50.0 c 0.01 p 1.3 window 3.0-2.0 d', [50.0, 0.01, 1.3, 3.0, 2.0], None], ['K 50.0 c 0.01 p 1.3 window 0.0-0.0 d', [50.0, 0.01, 1.3, 0.0, 0.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-1.0 d', [50.0, 0.05, 0.8, 0.0, 1.0], 115.131], ['K 50.0 c 0.05 p 0.8 window 0.5-10.0 d', [50.0, 0.05, 0.8, 0.5, 10.0], 174.793], ['K 50.0 c 0.05 p 0.8 window 1.0-30.0 d', [50.0, 0.05, 0.8, 1.0, 30.0], 241.301], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]], [['K 50.0 c 0.01 p 1.0 window 0.0-1.0 d', [50.0, 0.01, 1.0, 0.0, 1.0], 230.756], ['K 50.0 c 0.05 p 0.8 window 3.0-2.0 d', [50.0, 0.05, 0.8, 3.0, 2.0], None], ['K 50.0 c 0.05 p 0.8 window 0.0-0.0 d', [50.0, 0.05, 0.8, 0.0, 0.0], None], ['K 50.0 c 0.05 p 1.0 window 0.0-1.0 d', [50.0, 0.05, 1.0, 0.0, 1.0], 152.226], ['K 50.0 c 0.05 p 1.0 window 0.5-10.0 d', [50.0, 0.05, 1.0, 0.5, 10.0], 145.27], ['K 50.0 c 0.05 p 1.0 window 1.0-30.0 d', [50.0, 0.05, 1.0, 1.0, 30.0], 167.704], ['K 50.0 c 0.05 p 1.0 window 5.0-5.0 d', [50.0, 0.05, 1.0, 5.0, 5.0], None], ['K 200.0 c 0.05 p 1.0 window 0.0-1.0 d', [200.0, 0.05, 1.0, 0.0, 1.0], 608.904]]]
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
K 50.0 c 0.01 p 0.8 window 0.0-1.0 d	`150.971`	`150.971`	Passed
K 50.0 c 0.01 p 0.8 window 0.5-10.0 d	`177.801`	`177.801`	Passed
K 50.0 c 0.01 p 0.8 window 1.0-30.0 d	`243.123`	`243.123`	Passed
K 50.0 c 0.01 p 0.8 window 5.0-5.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 3.0-2.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 0.8 window 0.0-0.0 d	`None`	`None`	Passed
K 50.0 c 0.01 p 1.0 window 0.0-1.0 d	`230.756`	`230.756`	Passed
K 50.0 c 0.01 p 1.0 window 0.5-10.0 d	`148.846`	`148.846`	Passed

SHA-256 / 310d73a5d1bd4b52868ef7ef93a6fced240596cb61a6edf4dbd35b17d182f53f

Verification & scope

Stipulated deterministic teaching model of a seismological magnitude procedure; constants and tables are fixed by the contract and no claim of agency or standards conformance is made. 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 2026-09-29T14:48:31.176436+00:00.

Case digest / ea615813717dd5c4392f89c5cf046659d4180f450437dedef27b8f31ffee6e9e