mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-11-08 18:38:47 +00:00
314 lines
6.4 KiB
C++
314 lines
6.4 KiB
C++
#include <iostream>
|
|
|
|
using std::cin;
|
|
using std::cout;
|
|
const char endl = '\n';
|
|
|
|
const int N = 5e5 + 5;
|
|
const int INF = 0x3f3f3f3f;
|
|
|
|
int n, m, a[N];
|
|
|
|
struct node {
|
|
int l, r;
|
|
long long sum;
|
|
int max, max_2nd,
|
|
min, min_2nd;
|
|
int cnt_max, cnt_min;
|
|
int tag_add, tag_max, tag_min;
|
|
|
|
node(const int &_l = 0, const int &_r = 0)
|
|
: l(_l),
|
|
r(_r),
|
|
sum(0),
|
|
max(0),
|
|
max_2nd(-INF),
|
|
min(0),
|
|
min_2nd(INF),
|
|
cnt_max(1),
|
|
cnt_min(1),
|
|
tag_add(0),
|
|
tag_max(-INF),
|
|
tag_min(INF) {}
|
|
} tr[N << 2];
|
|
|
|
void pushup(int u) {
|
|
auto &p = tr[u],
|
|
&l = tr[u << 1],
|
|
&r = tr[u << 1 | 1];
|
|
|
|
p.sum = l.sum + r.sum;
|
|
|
|
if (l.max == r.max) {
|
|
p.max = l.max;
|
|
p.max_2nd = std::max(l.max_2nd, r.max_2nd);
|
|
p.cnt_max = l.cnt_max + r.cnt_max;
|
|
} else if (l.max > r.max) {
|
|
p.max = l.max;
|
|
p.max_2nd = std::max(l.max_2nd, r.max);
|
|
p.cnt_max = l.cnt_max;
|
|
} else { // l.max < r.max
|
|
p.max = r.max;
|
|
p.max_2nd = std::max(l.max, r.max_2nd);
|
|
p.cnt_max = r.cnt_max;
|
|
}
|
|
|
|
if (l.min == r.min) {
|
|
p.min = l.min;
|
|
p.min_2nd = std::min(l.min_2nd, r.min_2nd);
|
|
p.cnt_min = l.cnt_min + r.cnt_min;
|
|
} else if (l.min < r.min) {
|
|
p.min = l.min;
|
|
p.min_2nd = std::min(l.min_2nd, r.min);
|
|
p.cnt_min = l.cnt_min;
|
|
} else { // l.min > r.min
|
|
p.min = r.min;
|
|
p.min_2nd = std::min(l.min, r.min_2nd);
|
|
p.cnt_min = r.cnt_min;
|
|
}
|
|
}
|
|
|
|
void push_add(int u, int x) {
|
|
tr[u].sum += static_cast<long long>(tr[u].r - tr[u].l + 1) * x;
|
|
|
|
tr[u].max += x;
|
|
if (tr[u].max_2nd != -INF) tr[u].max_2nd += x;
|
|
if (tr[u].tag_max != -INF) tr[u].tag_max += x;
|
|
|
|
tr[u].min += x;
|
|
if (tr[u].min_2nd != INF) tr[u].min_2nd += x;
|
|
if (tr[u].tag_min != INF) tr[u].tag_min += x;
|
|
|
|
tr[u].tag_add += x;
|
|
}
|
|
|
|
void push_max(int u, int x) {
|
|
if (x <= tr[u].min) return;
|
|
|
|
tr[u].sum += static_cast<long long>(x - tr[u].min) * tr[u].cnt_min;
|
|
|
|
if (tr[u].max_2nd == tr[u].min) tr[u].max_2nd = x;
|
|
if (tr[u].max == tr[u].min) tr[u].max = x;
|
|
|
|
tr[u].min = x;
|
|
tr[u].tag_min = std::max(tr[u].tag_min, x);
|
|
tr[u].tag_max = x;
|
|
}
|
|
|
|
void push_min(int u, int x) {
|
|
if (tr[u].max <= x) return;
|
|
|
|
tr[u].sum += static_cast<long long>(x - tr[u].max) * tr[u].cnt_max;
|
|
|
|
if (tr[u].min_2nd == tr[u].max) tr[u].min_2nd = x;
|
|
if (tr[u].min == tr[u].max) tr[u].min = x;
|
|
|
|
tr[u].max = x;
|
|
tr[u].tag_max = std::min(tr[u].tag_max, x);
|
|
tr[u].tag_min = x;
|
|
}
|
|
|
|
void pushdown(int u) {
|
|
if (tr[u].tag_add) {
|
|
push_add(u << 1, tr[u].tag_add);
|
|
push_add(u << 1 | 1, tr[u].tag_add);
|
|
tr[u].tag_add = 0;
|
|
}
|
|
|
|
if (tr[u].tag_max != -INF) {
|
|
push_max(u << 1, tr[u].tag_max);
|
|
push_max(u << 1 | 1, tr[u].tag_max);
|
|
tr[u].tag_max = -INF;
|
|
}
|
|
|
|
if (tr[u].tag_min != INF) {
|
|
push_min(u << 1, tr[u].tag_min);
|
|
push_min(u << 1 | 1, tr[u].tag_min);
|
|
tr[u].tag_min = INF;
|
|
}
|
|
}
|
|
|
|
void build(int u, int l, int r) {
|
|
tr[u] = node(l, r);
|
|
|
|
if (l == r) {
|
|
tr[u].sum = tr[u].max = tr[u].min = a[l];
|
|
|
|
return;
|
|
}
|
|
|
|
int mid = (l + r) >> 1;
|
|
|
|
build(u << 1, l, mid);
|
|
build(u << 1 | 1, mid + 1, r);
|
|
|
|
pushup(u);
|
|
}
|
|
|
|
/**
|
|
* 对于所有的 i ∈ [l, r]，将 a[i] 加上 k
|
|
*/
|
|
void modify_add(int u, int l, int r, int x) {
|
|
if (l <= tr[u].l && tr[u].r <= r) {
|
|
push_add(u, x);
|
|
|
|
return;
|
|
}
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1;
|
|
|
|
if (l <= mid) modify_add(u << 1, l, r, x);
|
|
if (r > mid) modify_add(u << 1 | 1, l, r, x);
|
|
|
|
pushup(u);
|
|
}
|
|
|
|
/**
|
|
* 对于所有的 i ∈ [l, r]，将 a[i] 变为 max(a[i], v)
|
|
*/
|
|
void modify_max(int u, int l, int r, int x) {
|
|
if (x <= tr[u].min) return;
|
|
|
|
if (l <= tr[u].l && tr[u].r <= r && x < tr[u].min_2nd) {
|
|
push_max(u, x);
|
|
|
|
return;
|
|
}
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1;
|
|
|
|
if (l <= mid) modify_max(u << 1, l, r, x);
|
|
if (r > mid) modify_max(u << 1 | 1, l, r, x);
|
|
|
|
pushup(u);
|
|
}
|
|
|
|
/**
|
|
* 对于所有的 i ∈ [l, r]，将 a[i] 变为 min(a[i], v)
|
|
*/
|
|
void modify_min(int u, int l, int r, int x) {
|
|
if (tr[u].max <= x) return;
|
|
|
|
if (l <= tr[u].l && tr[u].r <= r && tr[u].max_2nd < x) {
|
|
push_min(u, x);
|
|
|
|
return;
|
|
}
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1;
|
|
|
|
if (l <= mid) modify_min(u << 1, l, r, x);
|
|
if (r > mid) modify_min(u << 1 | 1, l, r, x);
|
|
|
|
pushup(u);
|
|
}
|
|
|
|
long long query_sum(int u, int l, int r) {
|
|
if (l <= tr[u].l && tr[u].r <= r) return tr[u].sum;
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1;
|
|
long long res = 0;
|
|
|
|
if (l <= mid) res += query_sum(u << 1, l, r);
|
|
if (r > mid) res += query_sum(u << 1 | 1, l, r);
|
|
|
|
return res;
|
|
}
|
|
|
|
int query_max(int u, int l, int r) {
|
|
if (l <= tr[u].l && tr[u].r <= r) return tr[u].max;
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1,
|
|
res = -INF;
|
|
|
|
if (l <= mid) res = std::max(res, query_max(u << 1, l, r));
|
|
if (r > mid) res = std::max(res, query_max(u << 1 | 1, l, r));
|
|
|
|
return res;
|
|
}
|
|
|
|
int query_min(int u, int l, int r) {
|
|
if (l <= tr[u].l && tr[u].r <= r) return tr[u].min;
|
|
|
|
pushdown(u);
|
|
|
|
int mid = (tr[u].l + tr[u].r) >> 1,
|
|
res = INF;
|
|
|
|
if (l <= mid) res = std::min(res, query_min(u << 1, l, r));
|
|
if (r > mid) res = std::min(res, query_min(u << 1 | 1, l, r));
|
|
|
|
return res;
|
|
}
|
|
|
|
int main() {
|
|
std::ios::sync_with_stdio(false);
|
|
cin.tie(nullptr);
|
|
|
|
cin >> n;
|
|
|
|
for (int i = 1; i <= n; i++) {
|
|
cin >> a[i];
|
|
}
|
|
|
|
build(1, 1, n);
|
|
|
|
cin >> m;
|
|
|
|
while (m--) {
|
|
int op;
|
|
|
|
cin >> op;
|
|
|
|
if (op == 1) {
|
|
int l, r, x;
|
|
|
|
cin >> l >> r >> x;
|
|
|
|
modify_add(1, l, r, x);
|
|
} else if (op == 2) {
|
|
int l, r, x;
|
|
|
|
cin >> l >> r >> x;
|
|
|
|
modify_max(1, l, r, x);
|
|
} else if (op == 3) {
|
|
int l, r, x;
|
|
|
|
cin >> l >> r >> x;
|
|
|
|
modify_min(1, l, r, x);
|
|
} else if (op == 4) {
|
|
int l, r;
|
|
|
|
cin >> l >> r;
|
|
|
|
cout << query_sum(1, l, r) << endl;
|
|
} else if (op == 5) {
|
|
int l, r;
|
|
|
|
cin >> l >> r;
|
|
|
|
cout << query_max(1, l, r) << endl;
|
|
} else { // op == 6
|
|
int l, r;
|
|
|
|
cin >> l >> r;
|
|
|
|
cout << query_min(1, l, r) << endl;
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
}
|