Recently Jack becomes much more romantic. He would like to prepare several bunches of flowers. Each bunch of flowers must have exactly M flowers. As Jack does not want to be boring, he hopes that flo
Recently Jack becomes much more romantic. He would like to prepare several bunches of flowers. Each bunch of flowers must have exactly M flowers. As Jack does not want to be boring, he hopes that flowers in the same bunch are all different species. Now there are N{N}N species of flowers in the flower shop, and the number of the i-th species of flower is aia_iai. Now Jack would like to know how many bunches of flowers he can prepare at most. (Flowers are used to propose.)textit{(Flowers are used to propose.)}(Flowers are used to propose.)
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