mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-09-19 22:25:27 +00:00
132 lines
3.2 KiB
C++
132 lines
3.2 KiB
C++
#include <bits/stdc++.h>
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using namespace std;
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struct node {
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int l, r;
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long long s, d, x;
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node() {
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l = r = s = d = 0;
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x = 1;
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}
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node(int _l, int _r) {
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l = _l, r = _r;
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s = d = 0;
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x = 1;
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}
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} tr[100005 << 2];
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int n, m, p, op, x, y;
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long long k, a[100005];
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/**
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* @brief 上传信息
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* @param u 父节点下标
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*/
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void pushup(int u) {
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tr[u].s = (tr[u << 1].s + tr[u << 1 | 1].s) % p;
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}
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/**
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* @brief 下放懒标记
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* @param u 父节点下标
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* @attention 先乘后加
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*/
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void pushdown(int u) {
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// 左子树
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tr[u << 1].s = ((tr[u << 1].s * tr[u].x) + (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d) % p;
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tr[u << 1].x = tr[u << 1].x * tr[u].x % p;
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tr[u << 1].d = (tr[u << 1].d * tr[u].x + tr[u].d) % p;
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// 右子树
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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;
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tr[u << 1 | 1].x = tr[u << 1 | 1].x * tr[u].x % p;
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tr[u << 1 | 1].d = (tr[u << 1 | 1].d * tr[u].x + tr[u].d) % p;
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// 清除懒标记
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tr[u].d = 0;
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tr[u].x = 1;
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}
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/**
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* @brief 建立线段树
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* @param u 根节点下标
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* @param l 左端点
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* @param r 右端点
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*/
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void build(int u, int l, int r) {
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tr[u] = node(l, r);
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if (l == r) {
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tr[u].s = a[l] % p;
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return;
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}
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int mid = l + r >> 1;
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build(u << 1, l, mid);
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build(u << 1 | 1, mid + 1, r);
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pushup(u);
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}
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/**
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* @brief 区间加
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* @details 将区间 [l, r] 中的每一个数加上 d
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* @param u 父节点下标
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* @param l 左端点
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* @param r 右端点
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* @param x 乘上的数
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* @param d 增加的值
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*/
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void modify(int u, int l, int r, long long x, long long d) {
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// 被包含直接修改
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if (tr[u].l >= l && tr[u].r <= r) {
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tr[u].s = ((tr[u].s * x) + (tr[u].r - tr[u].l + 1) * d) % p;
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tr[u].x = tr[u].x * x % p;
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tr[u].d = (tr[u].d * x + d) % p;
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return;
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}
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int mid = tr[u].l + tr[u].r >> 1;
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pushdown(u); // 下放懒标记
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if (l <= mid) modify(u << 1, l, r, x, d); // 和左侧有交集
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if (r > mid) modify(u << 1 | 1, l, r, x, d); // 和右侧有交集
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pushup(u); // 上传新信息
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}
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/**
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* @brief 求区间和
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* @param u
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* @param l
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* @param r
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* @return int
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*/
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long long query(int u, int l, int r) {
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if (tr[u].l >= l && tr[u].r <= r) { // 被包含直接返回
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return tr[u].s;
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}
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int mid = tr[u].l + tr[u].r >> 1;
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long long s = 0;
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pushdown(u); // 下放懒标记
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if (l <= mid) s = query(u << 1, l, r); // 和左侧有交集
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if (r > mid) s = (s + query(u << 1 | 1, l, r)) % p; // 和右侧有交集
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return s;
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}
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signed main() {
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cin >> n >> m >> p;
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for (int i = 1; i <= n; i++) {
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cin >> a[i];
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}
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build(1, 1, n);
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while (m--) {
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cin >> op >> x >> y;
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if (op == 1) {
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cin >> k;
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modify(1, x, y, k, 0);
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} else if (op == 2) {
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cin >> k;
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modify(1, x, y, 1, k);
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} else if (op == 3) {
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cout << query(1, x, y) % p << endl;
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}
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}
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return 0;
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}
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