Loading docs/math/mobius.md +1 −1 Original line number Diff line number Diff line Loading @@ -413,7 +413,7 @@ $$ 变换求和顺序,设 $\displaystyle d'=\frac{n}{d}$ ,合并公因式,式子化为 $$ \frac{1}{2}n\left(\cdot\sum_{d'\mid n}d'\cdot\varphi(d')+1\right) \frac{1}{2}n\cdot\left(\sum_{d'\mid n}d'\cdot\varphi(d')+1\right) $$ 设 $\displaystyle \text{g}(n)=\sum_{d\mid n} d\cdot\varphi(d)$ ,已知 $\text{g}$ 为积性函数,于是可以 $\Theta(n)$ 预处理。最后枚举 $d$ ,统计贡献即可。 Loading Loading
docs/math/mobius.md +1 −1 Original line number Diff line number Diff line Loading @@ -413,7 +413,7 @@ $$ 变换求和顺序,设 $\displaystyle d'=\frac{n}{d}$ ,合并公因式,式子化为 $$ \frac{1}{2}n\left(\cdot\sum_{d'\mid n}d'\cdot\varphi(d')+1\right) \frac{1}{2}n\cdot\left(\sum_{d'\mid n}d'\cdot\varphi(d')+1\right) $$ 设 $\displaystyle \text{g}(n)=\sum_{d\mid n} d\cdot\varphi(d)$ ,已知 $\text{g}$ 为积性函数,于是可以 $\Theta(n)$ 预处理。最后枚举 $d$ ,统计贡献即可。 Loading