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segment-tree-beats.cpp
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137 lines (136 loc) · 2.59 KB
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// Segment Tree Beats (Ji Driver Segment Tree)
// Range min, Range sum
#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
const int MAXN = 1000005;
long long mx[MAXN<<2];
long long cmx[MAXN<<2];
long long sec[MAXN<<2];
long long sum[MAXN<<2];
void pushup(int x) {
sum[x] = sum[x<<1] + sum[x<<1|1];
if (mx[x<<1] > mx[x<<1|1]) {
mx[x] = mx[x<<1];
cmx[x] = cmx[x<<1];
sec[x] = max(mx[x<<1|1],sec[x<<1]);
}
else if (mx[x<<1] < mx[x<<1|1]) {
mx[x] = mx[x<<1|1];
cmx[x] = cmx[x<<1|1];
sec[x] = max(mx[x<<1],sec[x<<1|1]);
}
else {
mx[x] = mx[x<<1|1];
cmx[x] = cmx[x<<1|1] + cmx[x<<1];
sec[x] = max(sec[x<<1|1],sec[x<<1]);
}
}
void pushdown(int x) {
if (mx[x] < mx[x<<1]) {
sum[x<<1] -= cmx[x<<1] * (mx[x<<1] - mx[x]);
mx[x<<1] = mx[x];
}
if (mx[x] < mx[x<<1|1]) {
sum[x<<1|1] -= cmx[x<<1|1] * (mx[x<<1|1] - mx[x]);
mx[x<<1|1] = mx[x];
}
}
void build(int x, int l, int r) {
if (l == r) {
cin >> sum[x];
mx[x] = sum[x];
cmx[x] = 1;
sec[x] = -1e5;
return;
}
int mid = (l + r) >> 1;
build(x<<1, l, mid);
build(x<<1|1, mid + 1, r);
pushup(x);
}
void update(int x, int l, int r,int ql, int qr, int val) {
if (mx[x] <= val) {
return;
}
if (ql <= l && qr >= r && val > sec[x]) {
sum[x] -= (mx[x] - val) * cmx[x];
mx[x] = val;
return;
}
pushdown(x);
int mid = (l + r) >> 1;
if (ql <= mid) {
update(x<<1, l, mid, ql, qr, val);
}
if (qr > mid) {
update(x<<1|1, mid + 1, r, ql, qr, val);
}
pushup(x);
}
long long query(int x, int l, int r, int ql, int qr) {
if (ql <= l && qr >= r) {
return sum[x];
}
pushdown(x);
int mid = (l + r) >> 1;
if (qr <= mid) {
return query(x<<1,l,mid,ql,qr);
}
else if (ql > mid) {
return query(x<<1|1,mid+1,r,ql,qr);
}
else {
return query(x<<1,l, mid,ql,qr) + query(x<<1|1,mid+1,r,ql,qr);
}
}
long long query2(int x, int l, int r, int ql, int qr) {
if (ql <= l && qr >= r) {
return mx[x];
}
pushdown(x);
int mid = (l + r) >> 1;
if (qr <= mid) {
return query2(x<<1,l,mid,ql,qr);
}
else if (ql > mid) {
return query2(x<<1|1,mid+1,r,ql,qr);
}
else {
return max(query2(x<<1,l, mid,ql,qr), query2(x<<1|1,mid+1,r,ql,qr));
}
}
void go() {
int n, q;
cin >> n >> q;
build(1,1,n);
while (q--) {
int op, l, r, v;
cin >> op >> l >> r;
if (op == 0) {
cin >> v;
update(1,1,n,l,r,v);
}
else if (op == 1) {
cout << query2(1,1,n,l,r) << '\n';
}
else {
cout << query(1,1,n,l,r) << '\n';
}
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int c = 1;
int t;
if (!c) {
t = 1;
}
else {
cin >> t;
}
while (t--) {
go();
}
}