FAILURE MAP
← Case archive

FA-86136 / Game economy crafting balance / Open access

Repeatable quest rewards: Completion tiers restart each request · case 01

Turning quests in one by one keeps paying full rewards all day.

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

ROOT CAUSE

Completion indices start at zero instead of the number already done today.

VERIFIED REPAIR

Restore `range(done_today, done_today + count)` at the daily index origin step.

Unsuccessful approach: Starting one past done_today skips a full-reward completion.

Case contract

Completion k (0-based across the day, starting at done_today) pays tier 100% for k < 5, 50% for 5 <= k < 10, 0 after. Gap = player_level - quest_level: >= 5 pays 20%, >= 3 pays 60%, otherwise 100% (higher level quests are never penalized). Each reward = floor(base*tier*gap/10000). Returns the list of the next count rewards.

Why this case matters

Game economies leak or destroy currency when one crafting or pricing rule is off by one boundary, rounding stage or state update; the defect is observable in exact integer outcomes.

1 / The failure

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

N = 1
observations = []
def solve(done_today, count, base, player_level, quest_level):
    if player_level - quest_level >= 5:
        gap = 20
    elif player_level - quest_level >= 3:
        gap = 60
    else:
        gap = 100
    out = []
    for k in range(count):
        if k < 5:
            tier = 100
        elif k < 10:
            tier = 50
        else:
            tier = 0
        out.append(base * tier * gap // 10000)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #2', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('regression daily index origin #3', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #4', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [0, 1, 82, 18, 25], [82])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('fault site daily index origin #1', [7, 1, 7, 40, 47], [3]),
  ('regression daily index origin #1', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #2', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #3', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [2, 1, 3, 7, 12], [3])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('fault site daily index origin #1', [11, 1, 1, 10, 16], [0]),
  ('regression daily index origin #1', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #2', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('regression daily index origin #3', [8, 4, 99, 8, 6], [49, 49, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [10, 2, 3, 58, 50], [0, 0])]]
for label, args, expected in cases[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
crossing into half tier #1[101, 101, 101, 101][101, 101, 50, 50]Failed
harder quest no penalty #1[50, 50, 50][25, 25, 0]Failed
regression daily index origin #1[215, 215, 215, 215, 215, 107][107, 107, 107, 107, 0, 0]Failed
regression daily index origin #2[60, 60, 60, 60][60, 60, 30, 30]Failed
regression daily index origin #3[3, 3, 3, 3][1, 0, 0, 0]Failed
regression daily index origin #4[99, 99, 99, 99, 99, 49][99, 99, 49, 49, 49, 49]Failed
gray quest #1[19, 19][19, 19]Passed
control #1[0, 0][0, 0]Passed

SHA-256 / 018c04040490cfb611373a3b30d24a34dceac4d6dc25f7630936c265b6e3905e

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(done_today, count, base, player_level, quest_level):
    if player_level - quest_level >= 5:
        gap = 20
    elif player_level - quest_level >= 3:
        gap = 60
    else:
        gap = 100
    out = []
    for k in range(done_today + 1, done_today + count + 1):
        if k < 5:
            tier = 100
        elif k < 10:
            tier = 50
        else:
            tier = 0
        out.append(base * tier * gap // 10000)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #2', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('regression daily index origin #3', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #4', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [0, 1, 82, 18, 25], [82])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('fault site daily index origin #1', [7, 1, 7, 40, 47], [3]),
  ('regression daily index origin #1', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #2', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #3', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [2, 1, 3, 7, 12], [3])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('fault site daily index origin #1', [11, 1, 1, 10, 16], [0]),
  ('regression daily index origin #1', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #2', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('regression daily index origin #3', [8, 4, 99, 8, 6], [49, 49, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [10, 2, 3, 58, 50], [0, 0])]]
for label, args, expected in cases[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
crossing into half tier #1[101, 50, 50, 50][101, 101, 50, 50]Failed
harder quest no penalty #1[25, 0, 0][25, 25, 0]Failed
regression daily index origin #1[107, 107, 107, 0, 0, 0][107, 107, 107, 107, 0, 0]Failed
regression daily index origin #2[60, 30, 30, 30][60, 60, 30, 30]Failed
regression daily index origin #3[0, 0, 0, 0][1, 0, 0, 0]Failed
regression daily index origin #4[99, 49, 49, 49, 49, 49][99, 99, 49, 49, 49, 49]Failed
gray quest #1[19, 19][19, 19]Passed
control #1[0, 0][0, 0]Passed

SHA-256 / b490dd13749c8e073269f3f7acc9620837d104b5647461c8f776f15dac16c297

3 / The verified repair

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

N = 1
observations = []
def solve(done_today, count, base, player_level, quest_level):
    if player_level - quest_level >= 5:
        gap = 20
    elif player_level - quest_level >= 3:
        gap = 60
    else:
        gap = 100
    out = []
    for k in range(done_today, done_today + count):
        if k < 5:
            tier = 100
        elif k < 10:
            tier = 50
        else:
            tier = 0
        out.append(base * tier * gap // 10000)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('regression daily index origin #1', [6, 6, 215, 11, 12], [107, 107, 107, 107, 0, 0]),
  ('regression daily index origin #2', [3, 4, 101, 31, 28], [60, 60, 30, 30]),
  ('regression daily index origin #3', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #4', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [8, 2, 1, 33, 25], [0, 0])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('regression daily index origin #1', [9, 4, 3, 24, 23], [1, 0, 0, 0]),
  ('regression daily index origin #2', [3, 6, 99, 59, 64], [99, 99, 49, 49, 49, 49]),
  ('regression daily index origin #3', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #4', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [0, 1, 82, 18, 25], [82])],
 [('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('fault site daily index origin #1', [7, 1, 7, 40, 47], [3]),
  ('regression daily index origin #1', [1, 6, 7, 45, 37], [1, 1, 1, 1, 0, 0]),
  ('regression daily index origin #2', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #3', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [2, 1, 3, 7, 12], [3])],
 [('crossing into half tier #1', [3, 4, 101, 20, 20], [101, 101, 50, 50]),
  ('harder quest no penalty #1', [8, 3, 50, 10, 18], [25, 25, 0]),
  ('fault site daily index origin #1', [11, 1, 1, 10, 16], [0]),
  ('regression daily index origin #1', [8, 6, 99, 11, 18], [49, 49, 0, 0, 0, 0]),
  ('regression daily index origin #2', [2, 6, 99, 10, 9], [99, 99, 99, 49, 49, 49]),
  ('regression daily index origin #3', [8, 4, 99, 8, 6], [49, 49, 0, 0]),
  ('gray quest #1', [0, 2, 99, 30, 25], [19, 19]),
  ('control #1', [10, 2, 3, 58, 50], [0, 0])]]
for label, args, expected in cases[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
crossing into half tier #1[101, 101, 50, 50][101, 101, 50, 50]Passed
harder quest no penalty #1[25, 25, 0][25, 25, 0]Passed
regression daily index origin #1[107, 107, 107, 107, 0, 0][107, 107, 107, 107, 0, 0]Passed
regression daily index origin #2[60, 60, 30, 30][60, 60, 30, 30]Passed
regression daily index origin #3[1, 0, 0, 0][1, 0, 0, 0]Passed
regression daily index origin #4[99, 99, 49, 49, 49, 49][99, 99, 49, 49, 49, 49]Passed
gray quest #1[19, 19][19, 19]Passed
control #1[0, 0][0, 0]Passed

SHA-256 / fa60403b5688c9d372d7317e898be80ab27594b125e12f60da289f9804cc1924

Verification & scope

Deterministic toy contract stipulated for this model; integer or exact arithmetic only, not a reproduction of any specific game 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 2026-09-29T14:50:46.764584+00:00.

Case digest / 2a4734453cc95defc289855438cb5406ef76b5c6c7c29c46f4e90c0a901f4553