At a party all the children were put into groups of $$4$$ to play a game. Three children had to sit out.  For another game they were put into groups of $$7$$. One child had to sit out.  For the next game they were put into groups of $$9$$. Three children had to sit out.  How many children were at the party at least? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation