Construct the Game Tree for a Truel Played Sequentially, for Which

Short Answer

Construct the game tree for a truel played sequentially, for which the outcomes have the following payoffs. What are the optimal strategies for this game?
$\begin{array}{rr}\text {Sole survivor }&\text { 1 point }\\\text {One of two survivors }&\text { 4 point }\\\text {One of three survivors}&\text { 3 point }\\\text {Nonsurvivor}&\text { 2 point }\\\end{array}$