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DMSD: Decimal Multiscale Serializable Domain DMSD Phase 2C · Square layer unsigned in the source

DMSD Phase 2C — Square Layer

The number of squares in [a, b) is ⌊√(b−1)⌋ − ⌊√(a−1)⌋, with an O(1) summary (count, first and last root, first and last square) that merges across children; 500 brute-force oracles agree. It is an exact analytic block summary for a non-periodic property.

The square layer has a mergeable O(1) exact block summary that agrees with brute force. Elementary exact formulas and engineering checks; no number-theoretic claim.

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This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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