mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-12-18 07:52:00 +00:00
130 lines
3.2 KiB
C++
130 lines
3.2 KiB
C++
#include <bits/stdc++.h>
|
|
|
|
using namespace std;
|
|
|
|
struct node {
|
|
int l, r;
|
|
long long s, d, x;
|
|
|
|
node() {
|
|
l = r = s = d = 0;
|
|
x = 1;
|
|
}
|
|
node(int _l, int _r) {
|
|
l = _l, r = _r;
|
|
s = d = 0;
|
|
x = 1;
|
|
}
|
|
} tr[100005 << 2];
|
|
int n, m, p, op, x, y;
|
|
long long k, a[100005];
|
|
|
|
/**
|
|
* @brief 上传信息
|
|
* @param u 父节点下标
|
|
*/
|
|
void pushup(int u) {
|
|
tr[u].s = (tr[u << 1].s + tr[u << 1 | 1].s) % p;
|
|
}
|
|
|
|
/**
|
|
* @brief 下放懒标记
|
|
* @param u 父节点下标
|
|
* @attention 先乘后加
|
|
*/
|
|
void pushdown(int u) {
|
|
// 左子树
|
|
tr[u << 1].s = ((tr[u << 1].s * tr[u].x) + (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d) % p;
|
|
tr[u << 1].x = tr[u << 1].x * tr[u].x % p;
|
|
tr[u << 1].d = (tr[u << 1].d * tr[u].x + tr[u].d) % p;
|
|
// 右子树
|
|
tr[u << 1 | 1].s = ((tr[u << 1 | 1].s * tr[u].x) + (tr[u << 1 | 1].r - tr[u << 1 | 1].l + 1) * tr[u].d) % p;
|
|
tr[u << 1 | 1].x = tr[u << 1 | 1].x * tr[u].x % p;
|
|
tr[u << 1 | 1].d = (tr[u << 1 | 1].d * tr[u].x + tr[u].d) % p;
|
|
// 清除懒标记
|
|
tr[u].d = 0;
|
|
tr[u].x = 1;
|
|
}
|
|
|
|
/**
|
|
* @brief 建立线段树
|
|
* @param u 根节点下标
|
|
* @param l 左端点
|
|
* @param r 右端点
|
|
*/
|
|
void build(int u, int l, int r) {
|
|
tr[u] = node(l, r);
|
|
if (l == r) {
|
|
tr[u].s = a[l] % p;
|
|
return;
|
|
}
|
|
int mid = l + r >> 1;
|
|
build(u << 1, l, mid);
|
|
build(u << 1 | 1, mid + 1, r);
|
|
pushup(u);
|
|
}
|
|
|
|
/**
|
|
* @brief 区间加
|
|
* @details 将区间 [l, r] 中的每一个数加上 d
|
|
* @param u 父节点下标
|
|
* @param l 左端点
|
|
* @param r 右端点
|
|
* @param x 乘上的数
|
|
* @param d 增加的值
|
|
*/
|
|
void modify(int u, int l, int r, long long x, long long d) {
|
|
// 被包含直接修改
|
|
if (tr[u].l >= l && tr[u].r <= r) {
|
|
tr[u].s = ((tr[u].s * x) + (tr[u].r - tr[u].l + 1) * d) % p;
|
|
tr[u].x = tr[u].x * x % p;
|
|
tr[u].d = (tr[u].d * x + d) % p;
|
|
return;
|
|
}
|
|
int mid = tr[u].l + tr[u].r >> 1;
|
|
pushdown(u); // 下放懒标记
|
|
if (l <= mid) modify(u << 1, l, r, x, d); // 和左侧有交集
|
|
if (r > mid) modify(u << 1 | 1, l, r, x, d); // 和右侧有交集
|
|
pushup(u); // 上传新信息
|
|
}
|
|
|
|
/**
|
|
* @brief 求区间和
|
|
* @param u
|
|
* @param l
|
|
* @param r
|
|
* @return int
|
|
*/
|
|
long long query(int u, int l, int r) {
|
|
if (tr[u].l >= l && tr[u].r <= r) { // 被包含直接返回
|
|
return tr[u].s;
|
|
}
|
|
int mid = tr[u].l + tr[u].r >> 1;
|
|
long long s = 0;
|
|
pushdown(u); // 下放懒标记
|
|
if (l <= mid) s = query(u << 1, l, r); // 和左侧有交集
|
|
if (r > mid) s = (s + query(u << 1 | 1, l, r)) % p; // 和右侧有交集
|
|
return s;
|
|
}
|
|
|
|
signed main() {
|
|
cin >> n >> m >> p;
|
|
for (int i = 1; i <= n; i++) {
|
|
cin >> a[i];
|
|
}
|
|
build(1, 1, n);
|
|
while (m--) {
|
|
cin >> op >> x >> y;
|
|
if (op == 1) {
|
|
cin >> k;
|
|
modify(1, x, y, k, 0);
|
|
} else if (op == 2) {
|
|
cin >> k;
|
|
modify(1, x, y, 1, k);
|
|
} else if (op == 3) {
|
|
cout << query(1, x, y) % p << endl;
|
|
}
|
|
}
|
|
return 0;
|
|
}
|