  Let $\lambda=(\lambda_1 \geqslant \ldots \geqslant \lambda_k > 0)$. For any
$c$ Coxeter element of $\mathfrak{S}_{\lambda_1+k-1}$, we construct a bijection
from fillings of $\lambda$ to reverse plane partitions. We recover two previous
generalizations of the Robinson--Schensted--Knuth correspondence for particular
choices of Coxeter element depending on $\lambda$: one based on the work of,
among others, Burge, Hillman, Grassl, Knuth, and uniformly presented by
Gansner; the other developed by Garver, Partrias, and Thomas, and independently
by Dauvergne, called Scrambled RSK. Our results in this paper develop the
combinatorial consequence of our previous work of type $A_{\lambda_1+k}$
quivers.
