min25筛求大素数前缀和
人均min25……板子中间不会爆long long 不用改
令人自闭
#include <bits/stdc++.h>
using namespace std;
const int N = 1000010;
typedef long long LL;
namespace Min25 {
int prime[N], id1[N], id2[N], flag[N], ncnt, m;
LL g[N], sum[N], a[N], T, n;
inline int ID(LL x) {
return x <= T ? id1[x] : id2[n / x];
}
inline LL calc(LL x) {
return x * (x + 1) / 2 - 1;
}
inline LL f(LL x) {
return x;
}
inline void init() {
T = sqrt(n + 0.5);
for (int i = 2; i <= T; i++) {
if (!flag[i]) prime[++ncnt] = i, sum[ncnt] = sum[ncnt - 1] + i;
for (int j = 1; j <= ncnt && i * prime[j] <= T; j++) {
flag[i * prime[j]] = 1;
if (i % prime[j] == 0) break;
}
}
for (LL l = 1; l <= n; l = n / (n / l) + 1) {
a[++m] = n / l;
if (a[m] <= T) id1[a[m]] = m; else id2[n / a[m]] = m;
g[m] = calc(a[m]);
}
for (int i = 1; i <= ncnt; i++)
for (int j = 1; j <= m && (LL)prime[i] * prime[i] <= a[j]; j++)
g[j] = g[j] - (LL)prime[i] * (g[ID(a[j] / prime[i])] - sum[i - 1]);
}
inline LL solve(LL x) {
if (x <= 1) return x;
return n = x, init(), g[ID(n)];
}
}
int main() {
LL n; scanf("%lld", &n);
printf("%lld\n", Min25::solve(n));
}