  Loehr and Warrington introduced partitional statistics
$\mbox{ctot}_{\frac{q}{p}}(D)$ and $\mbox{midd}_{\frac{q}{p}}(D)$ and provided
formulas for these statistics in terms of the boundary graph of the Young
diagram $D$. In this paper we give a bijective proof of Loehr-Warrington's
formulas using the following simple combinatorial observation: given a Young
diagram $D$ and two numbers $a$ and $l,$ the number of boxes in $D$ with the
arm length $a$ and the leg length $l$ is one less than the number of boxes with
the same properties in the complement to $D.$ Here the complement is taken
inside the positive quadrant or, equivalently, a very large rectangle.
