Arguments of Lewis Carroll logic question, writing homework help

Consider the following verse, which has been around for many years.

For want of a nail, the shoe was lost. For want of a shoe, the horse was lost. For want of a horse, the rider was lost. For want of a rider, the battle was lost. For want of a battle, the war was lost.

  Therefore, for want of a nail, the war was lost.

Each sentence of the verse could be written as a conditional statement. For example, the first line may be restated as “If a nail is lost, then the shoe is lost.”

Translate the verse (the premises and conclusion) into the symbolic form of an argument. Then, determine whether the argument is valid or invalid and provide evidence and a complete sentence to support your conclusion.
  (20 points total. 4 points for each of the following parts: simple statements, compound statements, argument, validity, evidence)