multiagent systems def children(self)"""returns the list of all children ""return self allchildren def evaluate(self)"""returns the evaluation for this node if it is leaf""return self value the following gives the tree from figure of the book note how is used as value herebut never appears in the trace masproblem py -(continued fig node(" ",true,nonenode(" ",false,nonenode(" ",true,nonenode(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])node(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])])node(" ",true,nonenode(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])node(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])])])node(" ",false,nonenode(" ",true,nonenode(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])node(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])])node(" ",true,nonenode(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])node(" ",false,nonenode(" ",true, ,none)node(" ",true, ,none)])])])]the following is representation of magic-sum gamewhere players take turns picking number in the range [ ]and the first player to have numbers that sum to wins note that this is syntactic variant of tic-tac-toe or naughts and crosses to see thisconsider the numbers on magic square (figure ) numbers that add to correspond exactly to the winning positions version june