There are $$16$$ people participating in a knowledge quiz contest. The $$16$$ contestants are divided into $$4$$ groups, and within each group, single round-robin tournament rules will be used. After the group stage, each group produces $$2$$ winners to advance to the knockout round, where the single elimination rule prevails for the win or loss of every two people. The top $$8$$, top $$4$$, top $$2$$, the winner, the runner-up, the third place and the fourth place are determined then. How many games are played throughout the contest? 
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