【线段树】HDU 5306 Gorgeous Sequence
2021-02-21 13:21:00 # ACM

题链

关于修改:直接递归到节点(maxse<val<maxf),转化为只关于该节点最大值的加减;

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#include <bits/stdc++.h>
#include <iostream>
#include <algorithm>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#pragma GCC optimize(2)
using namespace std;
#define LL long long
#define ll long long
#define ULL unsigned long long
#define ls rt<<1
#define rs rt<<1|1
#define MS 1000009
#define INF 20000009
#define mod 1000000007
#define Pi acos(-1.0)
#define Pair pair<LL,LL>
#define M 11431471
#define B 231
#define MM 37101101
#define BB 312

LL n,m,k;
LL sum[MS<<2]; // 区间和
LL maxf[MS<<2]; // 区间最大值
LL cntf[MS<<2]; // 区间最大值个数
LL maxse[MS<<2]; // 区间第二大值
LL lamaxf[MS<<2]; // la_区间最大值需加的数

ll read(){
char c=getchar();ll s=0,f=1;
for(;!isdigit(c);c=getchar())if(c=='-')f=-1;
for(;isdigit(c);c=getchar())s=s*10+c-48;
return s*f;
}

void push_up(int rt){
sum[rt] = sum[ls] + sum[rs];
maxf[rt] = max(maxf[ls],maxf[rs]);
if(maxf[ls] == maxf[rs]){
cntf[rt] = cntf[ls] + cntf[rs];
maxse[rt] = max(maxse[ls],maxse[rs]);
}
else if(maxf[ls] > maxf[rs]){
cntf[rt] = cntf[ls];
maxse[rt] = max(maxse[ls],maxf[rs]);
}
else{
cntf[rt] = cntf[rs];
maxse[rt] = max(maxf[ls],maxse[rs]);
}
}

void build(int l,int r,int rt){
lamaxf[rt] = 0;
if(l == r){
LL x;
x = read();
sum[rt] = x;
maxf[rt] = x;
cntf[rt] = 1;
maxse[rt] = -1e18;
return;
}
int m = l+r>>1;
build(l,m,ls);
build(m+1,r,rs);
push_up(rt);
}

void update(int rt,LL val){
sum[rt] += val*cntf[rt];
maxf[rt] += val;
lamaxf[rt] += val;
}

void push_down(int rt){
LL maxn = max(maxf[ls],maxf[rs]);
if(maxf[ls] == maxn) update(ls,lamaxf[rt]);
if(maxf[rs] == maxn) update(rs,lamaxf[rt]);
lamaxf[rt] = 0;
}

void update_min(int L,int R,int l,int r,int rt,LL val){
if(maxf[rt] <= val) return;
if(L <= l && r <= R && val > maxse[rt]){
update(rt,val-maxf[rt]);
return;
}
push_down(rt);
int m = l+r>>1;
if(m >= L) update_min(L,R,l,m,ls,val);
if(m < R) update_min(L,R,m+1,r,rs,val);
push_up(rt);
}

LL get_sum(int L,int R,int l,int r,int rt){
if(L <= l && r <= R){
return sum[rt];
}
push_down(rt);
LL ans = 0;
int m = l+r>>1;
if(m >= L) ans += get_sum(L,R,l,m,ls);
if(m < R) ans += get_sum(L,R,m+1,r,rs);
return ans;
}

LL get_max(int L,int R,int l,int r,int rt){
if(L <= l && r <= R) return maxf[rt];
push_down(rt);
LL ans = -1e18;
int m = l+r>>1;
if(m >= L) ans = max(ans,get_max(L,R,l,m,ls));
if(m < R) ans = max(ans,get_max(L,R,m+1,r,rs));
return ans;
}

void solve(){
n = read() ,m = read();
build(1,n,1);
while(m--){
LL op,l,r,val;
op = read();
l = read() ,r = read();
if(op == 0){
val = read();
update_min(l,r,1,n,1,val);
}
else if(op == 1) printf("%lld\n",get_max(l,r,1,n,1));
else printf("%lld\n",get_sum(l,r,1,n,1));
}
}

int main() {
//ios::sync_with_stdio(false);
LL te;
te = read();
while(te--){
solve();
}


return 0;
}
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