Problem 3. In the square $\mathrm{ABCD}$, the point $\mathrm{M} \in(\mathrm{BC})$ is taken such that $\frac{B M}{B C}=\frac{1}{4}$. The line $\mathrm{DM}$ intersects $\mathrm{AC}$ at $\mathrm{Q}$ and the extension of $(\mathrm{AB})$ at $\mathrm{P}$. Find the value of the ratio $\frac{Q M}{D P}$.

Marius Farcas