two player play turn base game binary tree we give root binary tree number node n tree n odd node distinct value 1 nInitially player name value x 1 x n second player name value y 1 y n y x the player color node value x red second player color node value y blueThen player turn start player in turn player choose node color red player 1 blue player 2 color uncolore neighbor choose node leave child right child parent choose nodeIf player choose node way pass turn if player pass turn game end winner player color nodesyou second player if possible choose y ensure win game return true if possible return false Example 1input root 1234567891011 n 11 x 3output trueexplanation the second player choose node value 2example 2input root 123 n 3 x 1output false ConstraintsThe number nod tree n1 x n 100n odd1 Nodeval nAll value tree unique