Algorithm roundRobinTournament(a) This algorithm generates the list of matches that must be played in a round -robin pirate -dueling tournament (a tournament where each pirate duels each other pirate exactly once).

a is an array of strings containing names of entrants into an tournament

n = a.length for i = 0 to n-1

for j = i+1 to n-1 print a[i] + "duels" + a[j] + ",Yarrr!"

(a) (5 points) Determine the exact number of statements (i.e. use the statement counting approach that are executed by the above algorithm. Express your answer as a function of n. Show all your calculations.

(b) (1 point) Express the function you obtained in part a) in big- notation.