Let m and $\mathrm{n}$ be the numbers of real roots of the quadratic equations $x^{2}-12 x+[x]+31=0$ and $x^{2}-5|x+2|-4=0$ respectively, where $[x]$ denotes the greatest integer $\leq x$. Then $\mathrm{m}^{2}+\mathrm{mn}+\mathrm{n}^{2}$ is equal to __________.