mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-11-30 20:56:29 +00:00
109 lines
2.4 KiB
C++
109 lines
2.4 KiB
C++
#include <bits/stdc++.h>
|
|
|
|
using namespace std;
|
|
|
|
int n, m, op, x, y, a[300005];
|
|
int cnt, d[1000005], f[1000005], p[1000005];
|
|
bool v[1000005];
|
|
|
|
/**
|
|
* Calculate the number of positive divisors of
|
|
* positive integers from 1 to 1,000,000.
|
|
*/
|
|
void calc() {
|
|
d[1] = 1;
|
|
for (int i = 2; i <= 1000000; i++) {
|
|
if (!v[i]) {
|
|
v[i] = true;
|
|
p[++cnt] = i;
|
|
f[i] = 1;
|
|
d[i] = 2;
|
|
}
|
|
for (int j = 1; j <= cnt && i * p[j] <= 1000000; j++) {
|
|
v[i * p[j]] = true;
|
|
if (i % p[j] == 0) {
|
|
f[i * p[j]] = f[i] + 1;
|
|
d[i * p[j]] = 1ll * d[i] / f[i * p[j]] * (f[i * p[j]] + 1);
|
|
break;
|
|
}
|
|
f[i * p[j]] = 1;
|
|
d[i * p[j]] = d[i] * 2;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Segment Tree
|
|
void pushup(int);
|
|
void build(int, int, int);
|
|
void modify(int, int, int);
|
|
long long query(int, int, int);
|
|
|
|
int main() {
|
|
std::ios::sync_with_stdio(false);
|
|
cin >> n >> m;
|
|
for (int i = 1; i <= n; i++) {
|
|
cin >> a[i];
|
|
}
|
|
build(1, 1, n);
|
|
calc();
|
|
while (m--) {
|
|
cin >> op >> x >> y;
|
|
if (op == 1) {
|
|
modify(1, x, y);
|
|
} else {
|
|
cout << query(1, x, y) << endl;
|
|
}
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
// === Segment Tree ===
|
|
|
|
struct node {
|
|
int l, r;
|
|
long long s, m;
|
|
|
|
node()
|
|
: l(0), r(0), s(0), m(0) {}
|
|
node(int _l, int _r)
|
|
: l(_l), r(_r), s(0), m(0) {}
|
|
} tr[300005 << 2];
|
|
|
|
void pushup(int u) {
|
|
tr[u].s = tr[u << 1].s + tr[u << 1 | 1].s;
|
|
tr[u].m = std::max(tr[u << 1].m, tr[u << 1 | 1].m);
|
|
}
|
|
|
|
void build(int u, int l, int r) {
|
|
tr[u] = node(l, r);
|
|
if (l == r) {
|
|
tr[u].s = tr[u].m = a[l];
|
|
return;
|
|
}
|
|
int mid = l + r >> 1;
|
|
build(u << 1, l, mid);
|
|
build(u << 1 | 1, mid + 1, r);
|
|
pushup(u);
|
|
}
|
|
|
|
void modify(int u, int l, int r) {
|
|
if (tr[u].m <= 2) return;
|
|
if (tr[u].l == tr[u].r) {
|
|
tr[u].s = tr[u].m = d[tr[u].s];
|
|
return;
|
|
}
|
|
int mid = tr[u].l + tr[u].r >> 1;
|
|
if (l <= mid) modify(u << 1, l, r);
|
|
if (r > mid) modify(u << 1 | 1, l, r);
|
|
pushup(u);
|
|
}
|
|
|
|
long long query(int u, int l, int r) {
|
|
if (l <= tr[u].l && tr[u].r <= r) return tr[u].s;
|
|
int mid = tr[u].l + tr[u].r >> 1;
|
|
long long sum = 0;
|
|
if (l <= mid) sum += query(u << 1, l, r);
|
|
if (r > mid) sum += query(u << 1 | 1, l, r);
|
|
return sum;
|
|
}
|