Example 1
=========

Original sequence:
    10100

Run decomposition:
    10 - 10 - 0

Rewrite rule:
    Zero‑terminated runs → contiguous runs
    Last bit is preserved

Forward transformation:
    10 → 00
    10 → 11
    0  → 0
    Combined: 00110

Transformed sequence:
    00110

Run count comparison:
    Before: 4 runs
    After:  3 runs

Reversibility check:
    00 → 10
    11 → 10
    0  → 0
    Combined: 10100

Statistical effect:
    Run count decreased by 1.
    This contributes to the cumulative bias used to detect a 1‑encoding.