染色

https://nanti.jisuanke.com/t/48303

dp[i]=max Sigma(j=0 to i-1) max(sum黑[i]-sum黑[j]+dp[j]+ c黑[j+1,i] , sum白[i]-sum白[j]+dp[j]+ c白[j+1,i])

c[i,j]可以用线段树维护

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<vector>
#include<queue>
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define inf 9999999999
#define MAXN 300005
using namespace std;
typedef long long ll;
struct zlk{
	int w,l,r;
	ll val;
};
vector<pair<int,ll> > in1[MAXN],in2[MAXN];
int n,m;
ll a[MAXN],b[MAXN],sa[MAXN],sb[MAXN],ans[MAXN];
struct Segment_Tree{
	ll ma[MAXN<<2],tag[MAXN<<2];
	void push_down(int k){
		tag[k<<1]+=tag[k]; tag[(k<<1)|1]+=tag[k];
		ma[k<<1]+=tag[k]; ma[(k<<1)|1]+=tag[k];
		tag[k]=0;
	}
	void ins(int k,int l,int r,int x,int y,ll z){
//		cout<<l<<" "<<r<<" "<<x<<" "<<y<<" "<<z<<endl;
		if(x<=l && r<=y){
			tag[k]+=z; ma[k]+=z;
			return;
		}
		push_down(k);
		int mid=(l+r)>>1;
		if(mid>=x) ins(k<<1,l,mid,x,y,z);
	    if(mid<y) ins((k<<1)|1,mid+1,r,x,y,z);
		ma[k]=max(ma[k<<1],ma[(k<<1)|1]);
	}
	ll query(int k,int l,int r,int x,int y){
		if(x<=l && r<=y) return ma[k];
		int mid=(l+r)>>1;
		ll maxx=-inf;
		if(x<=mid) maxx=query(k<<1,l,mid,x,y);
		if(mid<y) maxx=max(maxx,query((k<<1)|1,mid+1,r,x,y));
		return maxx;
	}
}P,Q;
int main(){
    scanf("%d%d",&n,&m);n++;
    rep(i,2,n) scanf("%lld",&a[i]),sa[i]=sa[i-1]+a[i];
    rep(i,2,n) scanf("%lld",&b[i]),sb[i]=sb[i-1]+b[i]; 
    rep(i,1,m){
    	int w,l,r; ll val;
    	scanf("%d%d%d%lld",&w,&l,&r,&val);
    	++l; ++r;
    	if(w==1) in1[r].push_back(make_pair(l,val));
    	else in2[r].push_back(make_pair(l,val));
	}
	rep(i,2,n){
		for(auto it:in1[i]) P.ins(1,1,n,1,it.first-1,it.second);
		for(auto it:in2[i]) Q.ins(1,1,n,1,it.first-1,it.second);
//		sum[i]=sum[i-1]+max(a[i],b[i]);
		ans[i]=max(sa[i]+P.query(1,1,n,1,i-1),sb[i]+Q.query(1,1,n,1,i-1));
		P.ins(1,1,n,i,i,ans[i]-sa[i]); Q.ins(1,1,n,i,i,ans[i]-sb[i]);
//		printf("%lld %lld %lld
",ans[i],sa[i],sb[i]);
	}
	printf("%lld",ans[n]);
	return 0;
}