Balancing chemical equations: CuSCN & KIO3

$\ce{ a \, CuSCN + b \, KlO_3 + c \, HCl -> d \, CuSO_4 + e \, KCl + f \, HCN + g \, ICl + h \, H_2 O }$

Balance the chemical equation above, where $a$ to $h$ are positive integers . What is the smallest value of $a+b+c+d+e+f+g+h$ ?

Hint : You may want to use simultaneous linear equations if you are stuck.

More in this series of problems for balancing chemical equations: Alcohol redox | TNT | CuSCN-KIO3 system