Use the following table to group each chain of matrices to minimize the number of multiplications

D A$1$ A$2$ A$3$ A$4$ A$5$ A$6$

A$10$ d$1$ d$2$ d$1$ d$1$ d$2$

A$20$ d$2$ d$1$ d$2$ d$3$

A$30$ d$1$ d$2$ d$3$

A$40$ d$2$ d$1$

A$50$ d$2$

A$60$

Complete the following table

Chain Grouping with min multiplications

A$1.$A$2.$A$3.$A$4.$A$5.$A$6$

A$2.$A$3.$A$4.$A$5.$A$6.$A$7$

A$3.$A$4.$A$5.$A$6$