The diagram shows an octagon consisting of 14 unit squares. The line segment $\overline{PQ}$ bisects the area of the octagon. Point P is at the bottom-left corner of the octagon. Point Q lies on the vertical segment $\overline{XY}$, where Y is at the rightmost point at height 1 and X is at the rightmost point at height 4. The portion of the octagon below $\overline{PQ}$ consists of a rectangle of area 1 and a triangle with base 6. What is the ratio $\frac{XQ}{QY}$?