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FA-86616 / Procedural level generation constraints / Open access

Treasure dead-end finder: Treasure placed on the exit · case 01

The exit tile is reported as a treasure dead end.

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

ROOT CAUSE

Only the start is excluded.

VERIFIED REPAIR

Restore `[r, c] in (start, exit)` at the reserved cells step.

Unsuccessful approach: Comparing a tuple to list coordinates never matches.

Case contract

Cells: '#' wall, '~' chasm (not walkable), '.' floor, 'D' door (walkable). A dead end is a '.' cell, other than start and exit ([row, col] lists), with exactly one walkable in-bounds 4-neighbour. Returns dead ends in row-major order.

Why this case matters

Procedural generators silently emit unplayable or unfair levels when a single constraint check uses the wrong boundary, axis, neighborhood or update order; the defect is visible in exact generated geometry.

1 / The failure

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

N = 1
observations = []
def solve(grid, start, exit):
    h = len(grid)
    w = len(grid[0])
    ends = []
    for r in range(h):
        for c in range(w):
            if grid[r][c] != '.' or [r, c] == start:
                continue
            n = 0
            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                rr, cc = r + dr, c + dc
                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':
                    n += 1
            if n == 1:
                ends.append([r, c])
    return ends
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression reserved cells #1', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),
  ('regression reserved cells #2',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('partial repair boundary #1', [['..#...', '~..##.', '##~##.'], [0, 0], [0, 5]], [[0, 3], [1, 2], [2, 5]]),
  ('partial repair boundary #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]])],
 [('regression reserved cells #1', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #2', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('partial repair boundary #1', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('regression reserved cells #3',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),
  ('control #2', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],
 [('regression reserved cells #1', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('regression reserved cells #2',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('regression reserved cells #3', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #4', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]]),
  ('control #2', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],
 [('regression reserved cells #1', [['..', '.#'], [1, 1], [1, 0]], [[0, 1]]),
  ('regression reserved cells #2',
   [['..~', '.~#', '#D~', '###', 'D.#', '.#~'], [1, 1], [5, 0]],
   [[0, 1], [1, 0], [4, 1]]),
  ('regression reserved cells #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('partial repair boundary #1',
   [['#.', '#.', '#.', '.#', '..', '~.'], [2, 1], [1, 0]],
   [[0, 1], [3, 0], [5, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]]),
  ('control #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], [])],
 [('regression reserved cells #1', [['~.#.~', '..#D.', '~##..'], [2, 4], [0, 3]], [[0, 1], [1, 0]]),
  ('regression reserved cells #2', [['D.DD', '~.##', '.###', '#.~.', '#DD~'], [2, 3], [3, 1]], [[1, 1]]),
  ('partial repair boundary #1', [['..~..D', '....#.'], [1, 5], [0, 2]], []),
  ('regression reserved cells #3',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['...#~.', 'D.~~.D'], [1, 1], [1, 1]], [[0, 2], [0, 5], [1, 4]]),
  ('control #2', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 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
regression reserved cells #1[[0, 1]][]Failed
regression reserved cells #2[[3, 1], [3, 4], [5, 3], [5, 5]][[3, 1], [3, 4], [5, 5]]Failed
partial repair boundary #1[[0, 3], [1, 2], [2, 5]][[0, 3], [1, 2], [2, 5]]Passed
partial repair boundary #2[[1, 1]][[1, 1]]Passed
door as neighbour #1[[1, 1]][[1, 1]]Passed
chasm edge #1[[0, 0], [0, 2]][[0, 0], [0, 2]]Passed
isolated floor #1[][]Passed
control #1[[1, 0], [2, 4]][[1, 0], [2, 4]]Passed

SHA-256 / e74794e918bd79c4998a091e6ea78ec6e96cca83450c00e023cdcb83047cccc0

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(grid, start, exit):
    h = len(grid)
    w = len(grid[0])
    ends = []
    for r in range(h):
        for c in range(w):
            if grid[r][c] != '.' or (r, c) in (start, exit):
                continue
            n = 0
            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                rr, cc = r + dr, c + dc
                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':
                    n += 1
            if n == 1:
                ends.append([r, c])
    return ends
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression reserved cells #1', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),
  ('regression reserved cells #2',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('partial repair boundary #1', [['..#...', '~..##.', '##~##.'], [0, 0], [0, 5]], [[0, 3], [1, 2], [2, 5]]),
  ('partial repair boundary #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]])],
 [('regression reserved cells #1', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #2', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('partial repair boundary #1', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('regression reserved cells #3',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),
  ('control #2', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],
 [('regression reserved cells #1', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('regression reserved cells #2',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('regression reserved cells #3', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #4', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]]),
  ('control #2', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],
 [('regression reserved cells #1', [['..', '.#'], [1, 1], [1, 0]], [[0, 1]]),
  ('regression reserved cells #2',
   [['..~', '.~#', '#D~', '###', 'D.#', '.#~'], [1, 1], [5, 0]],
   [[0, 1], [1, 0], [4, 1]]),
  ('regression reserved cells #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('partial repair boundary #1',
   [['#.', '#.', '#.', '.#', '..', '~.'], [2, 1], [1, 0]],
   [[0, 1], [3, 0], [5, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]]),
  ('control #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], [])],
 [('regression reserved cells #1', [['~.#.~', '..#D.', '~##..'], [2, 4], [0, 3]], [[0, 1], [1, 0]]),
  ('regression reserved cells #2', [['D.DD', '~.##', '.###', '#.~.', '#DD~'], [2, 3], [3, 1]], [[1, 1]]),
  ('partial repair boundary #1', [['..~..D', '....#.'], [1, 5], [0, 2]], []),
  ('regression reserved cells #3',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['...#~.', 'D.~~.D'], [1, 1], [1, 1]], [[0, 2], [0, 5], [1, 4]]),
  ('control #2', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 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
regression reserved cells #1[[0, 1]][]Failed
regression reserved cells #2[[2, 5], [3, 1], [3, 4], [5, 3], [5, 5]][[3, 1], [3, 4], [5, 5]]Failed
partial repair boundary #1[[0, 0], [0, 3], [1, 2], [2, 5]][[0, 3], [1, 2], [2, 5]]Failed
partial repair boundary #2[[1, 1], [1, 2]][[1, 1]]Failed
door as neighbour #1[[1, 1]][[1, 1]]Passed
chasm edge #1[[0, 0], [0, 2]][[0, 0], [0, 2]]Passed
isolated floor #1[][]Passed
control #1[[1, 0], [2, 4]][[1, 0], [2, 4]]Passed

SHA-256 / 61907a6a3d11249a87705a1e99ba71699f75ec64a6f637963e3e811ef3457065

3 / The verified repair

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

N = 1
observations = []
def solve(grid, start, exit):
    h = len(grid)
    w = len(grid[0])
    ends = []
    for r in range(h):
        for c in range(w):
            if grid[r][c] != '.' or [r, c] in (start, exit):
                continue
            n = 0
            for dr, dc in ((1, 0), (-1, 0), (0, 1), (0, -1)):
                rr, cc = r + dr, c + dc
                if 0 <= rr < h and 0 <= cc < w and grid[rr][cc] in '.D':
                    n += 1
            if n == 1:
                ends.append([r, c])
    return ends
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression reserved cells #1', [['~.##.', 'D..#~', '...##'], [0, 3], [0, 1]], []),
  ('regression reserved cells #2',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('partial repair boundary #1', [['..#...', '~..##.', '##~##.'], [0, 0], [0, 5]], [[0, 3], [1, 2], [2, 5]]),
  ('partial repair boundary #2', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]])],
 [('regression reserved cells #1', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #2', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('partial repair boundary #1', [['.##', '#..'], [1, 2], [0, 1]], [[1, 1]]),
  ('regression reserved cells #3',
   [['#D...D', '#D#...', '##.##.', '#.##.#', '#D##.~', 'D.#...'], [2, 5], [5, 3]],
   [[3, 1], [3, 4], [5, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['#.#.#', '.#D~~', '..~..', '..D.~'], [1, 4], [2, 0]], [[1, 0], [2, 4]]),
  ('control #2', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]])],
 [('regression reserved cells #1', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('regression reserved cells #2',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('regression reserved cells #3', [['.#...~', '.#.D~D', '....##'], [1, 0], [0, 0]], [[0, 4]]),
  ('regression reserved cells #4', [['#.', '..', '##', '##', '##'], [0, 0], [1, 0]], [[0, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('control #1', [['...D#~', '~.###~', '~..D..'], [1, 3], [0, 2]], [[0, 0], [2, 5]]),
  ('control #2', [['#~.#.', '#...D', 'D.#..', '#....', '##..~'], [3, 0], [3, 3]], [[0, 2], [0, 4]])],
 [('regression reserved cells #1', [['..', '.#'], [1, 1], [1, 0]], [[0, 1]]),
  ('regression reserved cells #2',
   [['..~', '.~#', '#D~', '###', 'D.#', '.#~'], [1, 1], [5, 0]],
   [[0, 1], [1, 0], [4, 1]]),
  ('regression reserved cells #3', [['#~.~.', '..#~.', '#.D.~', '~#~..'], [1, 4], [1, 0]], [[0, 4], [3, 4]]),
  ('partial repair boundary #1',
   [['#.', '#.', '#.', '.#', '..', '~.'], [2, 1], [1, 0]],
   [[0, 1], [3, 0], [5, 1]]),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('chasm edge #1', [['.~.', '...'], [1, 1], [1, 1]], [[0, 0], [0, 2]]),
  ('control #1', [['~D.#D', '#.#~.'], [0, 1], [1, 2]], [[0, 2], [1, 1], [1, 4]]),
  ('control #2', [['.~~##.', '##~DD~'], [0, 1], [1, 0]], [])],
 [('regression reserved cells #1', [['~.#.~', '..#D.', '~##..'], [2, 4], [0, 3]], [[0, 1], [1, 0]]),
  ('regression reserved cells #2', [['D.DD', '~.##', '.###', '#.~.', '#DD~'], [2, 3], [3, 1]], [[1, 1]]),
  ('partial repair boundary #1', [['..~..D', '....#.'], [1, 5], [0, 2]], []),
  ('regression reserved cells #3',
   [['..#.D.', '~~D###', '...##.', '...DD~', 'D~.DD#', 'D..~D~'], [0, 4], [0, 0]],
   [[0, 1], [0, 3], [0, 5]]),
  ('isolated floor #1', [['#.#', '###'], [1, 0], [1, 0]], []),
  ('door as neighbour #1', [['#D#', '#.#', '###'], [0, 1], [0, 1]], [[1, 1]]),
  ('control #1', [['...#~.', 'D.~~.D'], [1, 1], [1, 1]], [[0, 2], [0, 5], [1, 4]]),
  ('control #2', [['##.#.', '.~#D.', 'D#.~#'], [0, 3], [1, 4]], [[0, 4], [1, 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
regression reserved cells #1[][]Passed
regression reserved cells #2[[3, 1], [3, 4], [5, 5]][[3, 1], [3, 4], [5, 5]]Passed
partial repair boundary #1[[0, 3], [1, 2], [2, 5]][[0, 3], [1, 2], [2, 5]]Passed
partial repair boundary #2[[1, 1]][[1, 1]]Passed
door as neighbour #1[[1, 1]][[1, 1]]Passed
chasm edge #1[[0, 0], [0, 2]][[0, 0], [0, 2]]Passed
isolated floor #1[][]Passed
control #1[[1, 0], [2, 4]][[1, 0], [2, 4]]Passed

SHA-256 / 1e012e51c1c0fc1d8eddc1e82a31df9b5d36c6860d15d82057f4214f18c3d93f

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 2026-09-29T14:50:51.238470+00:00.

Case digest / 6aa2bfc8f8d2c89132e98d1732302956c35f6e6e3dc93d1869479d11e3ae2030