  A Young diagram $Y$ is called wide if every sub-diagram $Z$ formed by a
subset of the rows of $Y$ dominates $Z'$, the conjugate of $Z$. A Young diagram
$Y$ is called Latin if its squares can be assigned numbers so that for each
$i$, the $i$th row is filled injectively with the numbers $1, \ldots ,a_i$,
where $a_i$ is the length of $i$th row of $Y$, and every column is also filled
injectively. A conjecture of Chow and Taylor, publicized by Chow, Fan, Goemans,
and Vondrak is that a wide Young diagram is Latin. We prove a dual version of
the conjecture.
