Let a vector $\bar{a}$ be coplanar with vectors $\bar{b}=2 \hat{i}+\hat{j}+\hat{k}$ and $\bar{c}=\hat{i}-\hat{j}+\hat{k}$. If $\bar{a}$ is perpendicular to $\bar{d}=3 \hat{i}+2 \hat{j}+6 \hat{k}$, and $|\overline{\mathrm{a}}|=\sqrt{10}$. Then a possible value of $\lceil\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{c}}\rceil+\lceil\overline{\mathrm{a}} \overline{\mathrm{b}} \overline{\mathrm{d}}\rceil+\lceil\overline{\mathrm{a}} \overline{\mathrm{c}} \overline{\mathrm{d}}\rceil$ is equal to :