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#6283. 数列分块入门 7

https://loj.ac/s/1466084
This commit is contained in:
Baoshuo Ren 2022-05-18 21:39:51 +08:00
parent 2e8f5b2bfd
commit 230c52e2a5
Signed by: baoshuo
GPG Key ID: 70F90A673FB1AB68
21 changed files with 168 additions and 0 deletions

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#include <algorithm>
#include <cmath>
#include <iostream>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e5 + 5;
const int mod = 10007;
int n, t, c, a[N], st[N], ed[N], add[N], mul[N], pos[N];
inline void update(int x) {
for (int i = st[x]; i <= ed[x]; i++) {
a[i] = (a[i] * mul[x] % mod + add[x]) % mod;
}
mul[x] = 1;
add[x] = 0;
}
// 加法
void change1(int l, int r, int c) {
int p = pos[l],
q = pos[r];
if (p == q) {
update(p);
for (int i = l; i <= r; i++) {
a[i] = (a[i] + c) % mod;
}
return;
}
update(p);
for (int i = l; i <= ed[p]; i++) a[i] = (a[i] + c) % mod;
update(q);
for (int i = st[q]; i <= r; i++) a[i] = (a[i] + c) % mod;
for (int i = p + 1; i <= q - 1; i++) add[i] = (add[i] + c) % mod;
}
// 乘法
void change2(int l, int r, int c) {
int p = pos[l],
q = pos[r];
if (p == q) {
update(p);
for (int i = l; i <= r; i++) {
a[i] = a[i] * c % mod;
}
return;
}
update(p);
for (int i = l; i <= ed[p]; i++) a[i] = a[i] * c % mod;
update(q);
for (int i = st[q]; i <= r; i++) a[i] = a[i] * c % mod;
for (int i = p + 1; i <= q - 1; i++) {
mul[i] = mul[i] * c % mod;
add[i] = add[i] * c % mod;
}
}
int main() {
std::ios::sync_with_stdio(false);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
std::fill(mul, mul + n + 2, 1);
t = std::sqrt(n);
for (c = 1;; c++) {
st[c] = (c - 1) * t + 1;
ed[c] = std::min(n, c * t);
if (c * t >= n) break;
}
for (int i = 1; i <= c; i++) {
for (int j = st[i]; j <= ed[i]; j++) {
pos[j] = i;
}
}
for (int i = 1, op, l, r, c; i <= n; i++) {
cin >> op >> l >> r >> c;
if (op == 0) {
change1(l, r, c);
} else if (op == 1) {
change2(l, r, c);
} else { // op == 2
cout << (a[r] * mul[pos[r]] % mod + add[pos[r]]) % mod << endl;
}
}
return 0;
}

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