Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations
$\mathrm{x}+\mathrm{y}+\mathrm{z}=1$,
$2\mathrm{x}+\mathrm{Ny}+2\mathrm{z}=2$,

$3\mathrm{x}+3\mathrm{y}+\mathrm{Nz}=3$
has unique solution is$\frac{k}{6}$ , then the sum of value of $k$ and all possible value of $\mathrm{N}$ is