FAILURE MAP
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FA-69221 / Tide and marine navigation tables / Open access

Light geographic and visible range: Visible range takes the larger of the two ranges · case 01

A weak light is promised beyond its luminous range.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The visible range uses max instead of min.

VERIFIED REPAIR

The light is visible only to the lesser of geographic and nominal range.

Unsuccessful approach: Reporting the nominal range alone ignores the horizon.

Case contract

Input [he, hl, nominal, mhws, tide]: observer height of eye (m), light elevation charted above MHWS (m), nominal range (nm), MHWS and current tide above datum. Effective light height = hl+(mhws-tide). Geographic range = 2.08*(sqrt(he)+sqrt(effective)). Visible range = min(geographic, nominal); the limit is "geographic" when geographic<nominal else "luminous". Return [geo rounded 1, visible rounded 1, limit].

Why this case matters

Tide tables and passage plans turn published predictions into go/no-go decisions about depth, clearance and timing.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    he,hl,nom,mhws,tide=x
    hle=hl+(mhws-tide)
    geo=2.08*(math.sqrt(he)+math.sqrt(hle))
    vis=max(geo,nom)
    lim='geographic' if geo<nom else 'luminous'
    return [round(geo,1),round(vis,1),lim]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous'])], [('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic'])], [('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [5, 5, 6, 3.0, 1.0]', [5, 5, 6, 3.0, 1.0], [10.2, 6, 'luminous']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous'])], [('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous']), ('light geographic and visible range [4, 9.174, 10.48, 2.0, 2.0]', [4, 9.174, 10.48, 2.0, 2.0], [10.5, 10.5, 'geographic']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous'])], [('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous'])]]
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 fixtureActualExpectedOutcome
light geographic and visible range [3, 25, 18, 4.5, 1.0][14.7, 18, 'geographic'][14.7, 14.7, 'geographic']Failed
light geographic and visible range [3, 25, 10, 4.5, 1.0][14.7, 14.7, 'luminous'][14.7, 10, 'luminous']Failed
light geographic and visible range [9, 64, 23, 5.0, 5.0][22.9, 23, 'geographic'][22.9, 22.9, 'geographic']Failed
light geographic and visible range [1.5, 12, 20, 4.0, 0.5][10.7, 20, 'geographic'][10.7, 10.7, 'geographic']Failed
light geographic and visible range [16, 36, 20.8, 3.0, 3.0][20.8, 20.8, 'luminous'][20.8, 20.8, 'luminous']Passed
light geographic and visible range [4, 9, 10.4, 2.0, 2.0][10.4, 10.4, 'luminous'][10.4, 10.4, 'luminous']Passed
light geographic and visible range [2, 40, 15, 4.0, 6.0][15.8, 15.8, 'luminous'][15.8, 15, 'luminous']Failed

SHA-256 / 463687df2cb2489c908129d119bdae1495c54cdc02703f4ae74e74534b38afff

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    he,hl,nom,mhws,tide=x
    hle=hl+(mhws-tide)
    geo=2.08*(math.sqrt(he)+math.sqrt(hle))
    vis=nom
    lim='geographic' if geo<nom else 'luminous'
    return [round(geo,1),round(vis,1),lim]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous'])], [('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic'])], [('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [5, 5, 6, 3.0, 1.0]', [5, 5, 6, 3.0, 1.0], [10.2, 6, 'luminous']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous'])], [('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous']), ('light geographic and visible range [4, 9.174, 10.48, 2.0, 2.0]', [4, 9.174, 10.48, 2.0, 2.0], [10.5, 10.5, 'geographic']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous'])], [('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous'])]]
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 fixtureActualExpectedOutcome
light geographic and visible range [3, 25, 18, 4.5, 1.0][14.7, 18, 'geographic'][14.7, 14.7, 'geographic']Failed
light geographic and visible range [3, 25, 10, 4.5, 1.0][14.7, 10, 'luminous'][14.7, 10, 'luminous']Passed
light geographic and visible range [9, 64, 23, 5.0, 5.0][22.9, 23, 'geographic'][22.9, 22.9, 'geographic']Failed
light geographic and visible range [1.5, 12, 20, 4.0, 0.5][10.7, 20, 'geographic'][10.7, 10.7, 'geographic']Failed
light geographic and visible range [16, 36, 20.8, 3.0, 3.0][20.8, 20.8, 'luminous'][20.8, 20.8, 'luminous']Passed
light geographic and visible range [4, 9, 10.4, 2.0, 2.0][10.4, 10.4, 'luminous'][10.4, 10.4, 'luminous']Passed
light geographic and visible range [2, 40, 15, 4.0, 6.0][15.8, 15, 'luminous'][15.8, 15, 'luminous']Passed

SHA-256 / aa557666a73ba33143ea8f18bd3bb3dc6282ea4a8bb46cacfa098765ed5eb1e8

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    he,hl,nom,mhws,tide=x
    hle=hl+(mhws-tide)
    geo=2.08*(math.sqrt(he)+math.sqrt(hle))
    vis=min(geo,nom)
    lim='geographic' if geo<nom else 'luminous'
    return [round(geo,1),round(vis,1),lim]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous'])], [('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic'])], [('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [5, 5, 6, 3.0, 1.0]', [5, 5, 6, 3.0, 1.0], [10.2, 6, 'luminous']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous'])], [('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [12, 80, 30, 5.0, 2.0]', [12, 80, 30, 5.0, 2.0], [26.2, 26.2, 'geographic']), ('light geographic and visible range [25, 100, 28, 4.0, 4.0]', [25, 100, 28, 4.0, 4.0], [31.2, 28, 'luminous']), ('light geographic and visible range [4, 16, 12.48, 3.0, 3.0]', [4, 16, 12.48, 3.0, 3.0], [12.5, 12.5, 'luminous']), ('light geographic and visible range [4, 9.174, 10.48, 2.0, 2.0]', [4, 9.174, 10.48, 2.0, 2.0], [10.5, 10.5, 'geographic']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous'])], [('light geographic and visible range [2, 40, 15, 4.0, 6.0]', [2, 40, 15, 4.0, 6.0], [15.8, 15, 'luminous']), ('light geographic and visible range [3, 25, 18, 4.5, 1.0]', [3, 25, 18, 4.5, 1.0], [14.7, 14.7, 'geographic']), ('light geographic and visible range [3, 25, 10, 4.5, 1.0]', [3, 25, 10, 4.5, 1.0], [14.7, 10, 'luminous']), ('light geographic and visible range [9, 64, 23, 5.0, 5.0]', [9, 64, 23, 5.0, 5.0], [22.9, 22.9, 'geographic']), ('light geographic and visible range [1.5, 12, 20, 4.0, 0.5]', [1.5, 12, 20, 4.0, 0.5], [10.7, 10.7, 'geographic']), ('light geographic and visible range [16, 36, 20.8, 3.0, 3.0]', [16, 36, 20.8, 3.0, 3.0], [20.8, 20.8, 'luminous']), ('light geographic and visible range [4, 9, 10.4, 2.0, 2.0]', [4, 9, 10.4, 2.0, 2.0], [10.4, 10.4, 'luminous'])]]
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 fixtureActualExpectedOutcome
light geographic and visible range [3, 25, 18, 4.5, 1.0][14.7, 14.7, 'geographic'][14.7, 14.7, 'geographic']Passed
light geographic and visible range [3, 25, 10, 4.5, 1.0][14.7, 10, 'luminous'][14.7, 10, 'luminous']Passed
light geographic and visible range [9, 64, 23, 5.0, 5.0][22.9, 22.9, 'geographic'][22.9, 22.9, 'geographic']Passed
light geographic and visible range [1.5, 12, 20, 4.0, 0.5][10.7, 10.7, 'geographic'][10.7, 10.7, 'geographic']Passed
light geographic and visible range [16, 36, 20.8, 3.0, 3.0][20.8, 20.8, 'luminous'][20.8, 20.8, 'luminous']Passed
light geographic and visible range [4, 9, 10.4, 2.0, 2.0][10.4, 10.4, 'luminous'][10.4, 10.4, 'luminous']Passed
light geographic and visible range [2, 40, 15, 4.0, 6.0][15.8, 15, 'luminous'][15.8, 15, 'luminous']Passed

SHA-256 / f706146a3c1f5b37c26f6910e61cefaf1130e616aac2cd77d78a1309ed94e593

Verification & scope

A deterministic toy model with stipulated rules and constants; not certified hydrographic software or a substitute for official tide tables. 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 2026-09-29T14:48:09.417366+00:00.

Case digest / 73826195c3bf17f5d97fed4d76e6117bc805bf3ce6e4f106a612b13e03d94828