Suppose you are designing a multi$-$player game that has $n1000$ players, numbered $1$ to $n,$ interacting in an enchanted forest. The winner of this game is the first player who can meet all the other players at least once $($ties are allowed$).$ Assuming that there is a method meet $(i,j),$ which is called each time a player i meets a player $j,$

i$.$ Describe an algorithm including an appropriate data structure to keep track of the pairs of meeting players and who is the winner.

ii$.$ What is the running time complexity of your algorithm? Explain your answer.

Please help me out and show me the answer woth explanatiom so i can understand thank u