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[SPOJ] DIVCNT2 - Counting Divisors (square)

sqrt bsp 操作 new size omega uri 打了 color

題解:

操作挺多的一道題

網上證明挺多就不打了

$\sigma_0(n^2) = \sum_{d\mid n} 2^{\omega(d)} = \sum_{d\mid n} \sum_{e\mid d} \mu^2(e) = ((\mu^2 * 1) * 1) (n)$

$(\mu * 1) * 1 = \mu * (1*1) = \mu * \sigma_0$

$\sum_{i=1}^n \mu^2(i) = \sum_{i=1}^{\sqrt{n}}\mu(i)\lfloor \frac{n}{i^2} \rfloor$

知道了這些按照杜教篩的套路處理$n^{\frac{2}{3}}$就可以了

[SPOJ] DIVCNT2 - Counting Divisors (square)