bzoj 2038 [2009国家集训队]小Z的袜子(hose)

[ans_{i}=frac{sum_{i=l}^r dbinom{2}{cnt_{i}}}{dbinom{2}{r-l+1}} ]

[ans_{i}=frac{sum_{i=l}^r frac{cnt_{i} imes (cnt_{i}-1)}{2}}{frac{(r-l+1) imes (r-l)}{2}} ]

[ans_{i}=frac{sum_{i=l}^r cnt_{i} imes (cnt_{i}-1)}{(r-l+1) imes (r-l)} ]

[ans_{i}=frac{sum_{i=l}^r cnt_{i}^2-cnt_{i}}{(r-l+1) imes (r-l)} ]

[ans_{i}=frac{sum_{i=l}^r cnt_{i}^2 - sum_{i=l}^r cnt_{i}}{(r-l+1) imes (r-l)} ]

因为

[sum_{i=l}^r cnt_{i}=r-l+1 ]

所以

[ans_{i}=frac{sum_{i=l}^r cnt_{i}^2 -(r-l+1)}{(r-l+1) imes (r-l)} ]

原文地址:https://www.cnblogs.com/hzf29721/p/9491720.html