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https://git.sb/baoshuo/OI-codes.git
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314 lines
6.4 KiB
C++
314 lines
6.4 KiB
C++
#include <iostream>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 5e5 + 5;
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const int INF = 0x3f3f3f3f;
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int n, m, a[N];
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struct node {
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int l, r;
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long long sum;
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int max, max_2nd,
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min, min_2nd;
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int cnt_max, cnt_min;
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int tag_add, tag_max, tag_min;
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node(const int &_l = 0, const int &_r = 0)
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: l(_l),
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r(_r),
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sum(0),
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max(0),
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max_2nd(-INF),
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min(0),
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min_2nd(INF),
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cnt_max(1),
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cnt_min(1),
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tag_add(0),
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tag_max(-INF),
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tag_min(INF) {}
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} tr[N << 2];
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void pushup(int u) {
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auto &p = tr[u],
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&l = tr[u << 1],
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&r = tr[u << 1 | 1];
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p.sum = l.sum + r.sum;
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if (l.max == r.max) {
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p.max = l.max;
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p.max_2nd = std::max(l.max_2nd, r.max_2nd);
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p.cnt_max = l.cnt_max + r.cnt_max;
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} else if (l.max > r.max) {
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p.max = l.max;
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p.max_2nd = std::max(l.max_2nd, r.max);
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p.cnt_max = l.cnt_max;
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} else { // l.max < r.max
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p.max = r.max;
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p.max_2nd = std::max(l.max, r.max_2nd);
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p.cnt_max = r.cnt_max;
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}
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if (l.min == r.min) {
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p.min = l.min;
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p.min_2nd = std::min(l.min_2nd, r.min_2nd);
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p.cnt_min = l.cnt_min + r.cnt_min;
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} else if (l.min < r.min) {
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p.min = l.min;
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p.min_2nd = std::min(l.min_2nd, r.min);
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p.cnt_min = l.cnt_min;
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} else { // l.min > r.min
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p.min = r.min;
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p.min_2nd = std::min(l.min, r.min_2nd);
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p.cnt_min = r.cnt_min;
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}
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}
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void push_add(int u, int x) {
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tr[u].sum += static_cast<long long>(tr[u].r - tr[u].l + 1) * x;
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tr[u].max += x;
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if (tr[u].max_2nd != -INF) tr[u].max_2nd += x;
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if (tr[u].tag_max != -INF) tr[u].tag_max += x;
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tr[u].min += x;
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if (tr[u].min_2nd != INF) tr[u].min_2nd += x;
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if (tr[u].tag_min != INF) tr[u].tag_min += x;
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tr[u].tag_add += x;
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}
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void push_max(int u, int x) {
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if (x <= tr[u].min) return;
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tr[u].sum += static_cast<long long>(x - tr[u].min) * tr[u].cnt_min;
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if (tr[u].max_2nd == tr[u].min) tr[u].max_2nd = x;
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if (tr[u].max == tr[u].min) tr[u].max = x;
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tr[u].min = x;
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tr[u].tag_min = std::max(tr[u].tag_min, x);
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tr[u].tag_max = x;
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}
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void push_min(int u, int x) {
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if (tr[u].max <= x) return;
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tr[u].sum += static_cast<long long>(x - tr[u].max) * tr[u].cnt_max;
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if (tr[u].min_2nd == tr[u].max) tr[u].min_2nd = x;
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if (tr[u].min == tr[u].max) tr[u].min = x;
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tr[u].max = x;
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tr[u].tag_max = std::min(tr[u].tag_max, x);
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tr[u].tag_min = x;
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}
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void pushdown(int u) {
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if (tr[u].tag_add) {
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push_add(u << 1, tr[u].tag_add);
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push_add(u << 1 | 1, tr[u].tag_add);
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tr[u].tag_add = 0;
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}
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if (tr[u].tag_max != -INF) {
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push_max(u << 1, tr[u].tag_max);
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push_max(u << 1 | 1, tr[u].tag_max);
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tr[u].tag_max = -INF;
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}
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if (tr[u].tag_min != INF) {
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push_min(u << 1, tr[u].tag_min);
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push_min(u << 1 | 1, tr[u].tag_min);
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tr[u].tag_min = INF;
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}
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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].sum = tr[u].max = tr[u].min = a[l];
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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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* 对于所有的 i ∈ [l, r]，将 a[i] 加上 k
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*/
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void modify_add(int u, int l, int r, int x) {
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if (l <= tr[u].l && tr[u].r <= r) {
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push_add(u, x);
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return;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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if (l <= mid) modify_add(u << 1, l, r, x);
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if (r > mid) modify_add(u << 1 | 1, l, r, x);
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pushup(u);
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}
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/**
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* 对于所有的 i ∈ [l, r]，将 a[i] 变为 max(a[i], v)
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*/
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void modify_max(int u, int l, int r, int x) {
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if (x <= tr[u].min) return;
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if (l <= tr[u].l && tr[u].r <= r && x < tr[u].min_2nd) {
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push_max(u, x);
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return;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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if (l <= mid) modify_max(u << 1, l, r, x);
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if (r > mid) modify_max(u << 1 | 1, l, r, x);
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pushup(u);
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}
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/**
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* 对于所有的 i ∈ [l, r]，将 a[i] 变为 min(a[i], v)
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*/
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void modify_min(int u, int l, int r, int x) {
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if (tr[u].max <= x) return;
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if (l <= tr[u].l && tr[u].r <= r && tr[u].max_2nd < x) {
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push_min(u, x);
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return;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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if (l <= mid) modify_min(u << 1, l, r, x);
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if (r > mid) modify_min(u << 1 | 1, l, r, x);
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pushup(u);
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}
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long long query_sum(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) return tr[u].sum;
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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long long res = 0;
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if (l <= mid) res += query_sum(u << 1, l, r);
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if (r > mid) res += query_sum(u << 1 | 1, l, r);
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return res;
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}
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int query_max(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) return tr[u].max;
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1,
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res = -INF;
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if (l <= mid) res = std::max(res, query_max(u << 1, l, r));
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if (r > mid) res = std::max(res, query_max(u << 1 | 1, l, r));
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return res;
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}
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int query_min(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) return tr[u].min;
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1,
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res = INF;
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if (l <= mid) res = std::min(res, query_min(u << 1, l, r));
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if (r > mid) res = std::min(res, query_min(u << 1 | 1, l, r));
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return res;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n;
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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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cin >> m;
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while (m--) {
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int op;
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cin >> op;
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if (op == 1) {
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int l, r, x;
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cin >> l >> r >> x;
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modify_add(1, l, r, x);
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} else if (op == 2) {
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int l, r, x;
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cin >> l >> r >> x;
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modify_max(1, l, r, x);
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} else if (op == 3) {
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int l, r, x;
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cin >> l >> r >> x;
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modify_min(1, l, r, x);
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} else if (op == 4) {
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int l, r;
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cin >> l >> r;
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cout << query_sum(1, l, r) << endl;
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} else if (op == 5) {
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int l, r;
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cin >> l >> r;
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cout << query_max(1, l, r) << endl;
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} else { // op == 6
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int l, r;
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cin >> l >> r;
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cout << query_min(1, l, r) << endl;
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}
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}
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return 0;
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}
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