An Example of Matrix Chain Multiplication

$$

$$Example:

cost of computing A

$1$

A

$2$

A

$3$

$$where

$$

$$A

$1$

$=$

$1$

$0$

x

$1$

$0$

$0$

$$

$$A

$2$

$=$

$1$

$0$

$0$

x

$5$

$$

$$A

$3$

$=$

$5$

x

$5$

$0$

$$

$$where P

$0$

$=$

$1$

$0$

$,$

$$P

$1$

$=$

$1$

$0$

$0$

$,$

$$P

$2$

$=$

$5$

$$and P

$3$

$=$

$5$

$0$

find the

$($

$($

$$A

$1$

A

$2$

$)$

$($

A

$3$

$)$

$$and

$($

A

$1$

$($

A

$2$

A

$3$

$)$

$)$

please solve thies question dynamic programming algorithm