#pmx

Partially mapped crossover (PMX) is applied to $P_1 = (2, 7, 8, 4, 6, 3, 1, 5)$ and $P_2 = (1, 4, 7, 8, 6, 2, 3, 5)$ with cut points after positions 3 and 6. The child keeps $P_2$'s middle segment $(8, 6, 2)$ in positions 4–6 and takes the other positions from $P_1$, resolving duplicates through the mapping between the two middle segments. Which child results?