Find the shortest distance from S to E on the network below.

$[40]$

The cost between node S and node A is $-1$st number of your student number.

The cost between node A and node B is $-2$nd number of your student number.

The cost between node A and node C is $-3$rd number of your student number.

The cost between node B and node D is $-4$th number of your student number.

The cost between node S and node B is $-5$th number of your student number.

The cost between node C and node D is $-6$th number of your student number.

The cost between node C and node E is $-7$th number of your student number.

The cost between node D and node E is $-8$th number of your student number.

The cost between node A and node D is $-9$th number of your student number.

My student number is $219218587$