$A = \begin{bmatrix} 4 & 1 & -1 \\ 2 & 5 & -2 \\ 1 & 1 & 2 \end{bmatrix}$. $P$ is used to diagonalize $A$ by $P^{-1}AP = D$, where $D = \begin{bmatrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{bmatrix}$, $a \le b \le c$, and $P = \begin{bmatrix} d & e & 1 \\ -1 & f & g \\ h & 1 & j \end{bmatrix}$. What is the value $K$,

($|.|$ is the absolute value. % is the modulo operation. Round{z} rounds z to the nearest integer.)