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望大牛赐教:有关将p个可辨别的球放入k个不可辨别的可空盒子的放法数递推公式?

Posted by jianchenhao at 2006-10-22 13:14:03
假设用f(p,k)表示上述值,那么是否存在一个递推公式或者其他什么好的方法?我想到一种最原始的算法。如果另F(p,k)表示将p个可辨别的球放入k个不可辨别的非空盒子的放法数,那么f(p,k)=F(p,1)+F(p,2)+...+F(p,k),这个复杂度貌似要到O(p*k^2)?有更好的算法么?

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