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This skill provides a rigorous framework for developing compression encoders that must exactly mirror the state transitions of a target decoder. It is particularly valuable for complex tasks like arithmetic coding, where even minor state drifts cause total decompression failure. By emphasizing a 'decoder-first' methodology—including Python-based simulation, mathematical derivation of byte output formulas, and incremental testing from single bits to full files—it ensures reliable, bit-perfect implementation of data compression schemes while avoiding common pitfalls like premature optimization and trial-and-error coding.