Each extensive form game shown below is a two player game with the players P$1$ and P$2.$ The nonterminal nodes have been labeled by player and have also been given identifiers for reference: h$1,$h$2,...$

$($i$)$ Foreachgameindicatewhetherthegameisanextensiveformgamewith perfect information or an extensive form game with imperfect information and then determine the information sets. Include any information sets that consist of a single node.