Bud thinks of a number.  When the number is divided by $$2$$, the remainder is $$1$$.  When the number is divided by $$3$$, the remainder is $$2$$.  When the number is divided by $$4$$, the remainder is $$3$$.  When the number is divided by $$5$$, the remainder is $$4$$.  What is the smallest number meeting the requirements? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation