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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#873982#4809. Maximum Rangexjx2009WA 78ms73192kbC++143.9kb2025-01-27 11:02:182025-01-27 11:02:19

Judging History

你现在查看的是最新测评结果

  • [2025-01-27 11:02:19]
  • 评测
  • 测评结果:WA
  • 用时:78ms
  • 内存:73192kb
  • [2025-01-27 11:02:18]
  • 提交

answer

#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int N=1000010;
const ll INF=0x3f3f3f3f3f3f3f3f;

ll n,m;
ll e[N<<1],ne[N<<1],h[N],tot,l[N<<1];
ll ev[N<<1],nev[N<<1],hv[N],totv,lv[N<<1];
ll ec[N<<1],nec[N<<1],hc[N],totc;

ll dfn[N],low[N],cnt;
ll Max[N],Min[N];
ll b[N],bri[N],tc;

ll a1,b1,a2,b2,id1,id2;
ll ans,p1;
ll s,t;
ll d[N],top,nw[N];
ll q[N<<1],L,R;
ll l1[N],r1[N];
vector<ll> v;
ll s1[N];

void add(ll x,ll y,ll z){
	e[++tot]=y;
	ne[tot]=h[x];
	h[x]=tot;
	l[tot]=z;
}

void addv(ll x,ll y,ll z){
//	cout<<x<<" "<<y<<" "<<z<<endl;
	ev[++totv]=y;nev[totv]=hv[x];hv[x]=totv;lv[totv]=z;
	ev[++totv]=x;nev[totv]=hv[y];hv[y]=totv;lv[totv]=0;
}

void addc(ll x,ll y){
	ec[++totc]=y;nec[totc]=hc[x];hc[x]=totc;
	ec[++totc]=x;nec[totc]=hc[y];hc[y]=totc;
}

void tarjan(ll u,ll fa){
	dfn[u]=low[u]=++cnt;
	for(int i=h[u];i!=0;i=ne[i]){
		if(e[i]==fa) continue;
		if(!dfn[e[i]]){
			tarjan(e[i],u);
			low[u]=min(low[u],low[e[i]]);
			if(low[e[i]]>dfn[u]){
				bri[i]=bri[i^1]=1;
			}
		}
		else{
			low[u]=min(low[u],dfn[e[i]]);
		}
	}
}

void dfs(ll u,ll fa,ll col){
	b[u]=col;
	for(int i=h[u];i!=0;i=ne[i]){
		if(b[e[i]]==b[u]){
			Max[col]=max(Max[col],l[i]);
			Min[col]=min(Min[col],l[i]);
		}
		if(e[i]==fa||bri[i]||b[e[i]]) continue;
		dfs(e[i],u,col);
	}
}

bool bfs(){
	memset(d,0,sizeof(d));
	L=1;R=0;
	q[++R]=s;d[s]=1;nw[s]=hv[s];
	while(L<=R){
		ll u=q[L++];
		for(int i=hv[u];i!=0;i=nev[i]){
			if(lv[i]&&!d[ev[i]]){
				q[++R]=ev[i];
				d[ev[i]]=d[u]+1;
				nw[ev[i]]=hv[ev[i]];
				if(ev[i]==t) return 1;
			}
		}
	}
	return 0;
}

ll dinic(ll u,ll flow){
	if(u==t) return flow;
	ll y=0;
	for(int i=nw[u];i!=0&&flow;i=nev[i]){
		nw[u]=i;
		if(lv[i]&&d[ev[i]]==d[u]+1){
			ll x=dinic(ev[i],min(lv[i],flow));
			if(!x) d[ev[i]]=0;
			flow-=x;y+=x;
			lv[i]-=x;lv[i^1]+=x;
		}
	}
	return y;
}

void dfs3(ll u){
	s1[u]=1;
	v.push_back(u);
	for(int i=hc[u];i!=0;i=nec[i]){
//		cout<<ec[i]<<endl;
		if(s1[ec[i]]) continue;
		dfs3(ec[i]);
		return;
	}
}

int main(){
	tot=totv=1;
	cin>>n>>m;
	for(int i=1;i<=m;i++){
		ll x,y,z;
		cin>>x>>y>>z;
		add(x,y,z);
		add(y,x,z);
	}
	for(int i=1;i<=n;i++){
		if(!dfn[i]) tarjan(i,0);
	}
	memset(Min,0x3f,sizeof(Min));
	for(int i=1;i<=n;i++){
		if(!b[i]) dfs(i,0,++tc);
	}
//	cout<<Max[1]<<" "<<Min[1]<<" "<<tc<<endl;
	
	p1=0,ans=-1;
	for(int i=1;i<=tc;i++){
		if(Max[i]-Min[i]>ans){
			ans=Max[i]-Min[i];
//			cout<<Max[i]<<" "<<Min[i]<<" "<<ans<<endl;
			p1=i;
		}
	}
	
	top=n*2;
	s=++top;t=++top;
//	cout<<endl;
	for(int i=1;i<=n;i++){
		addv(i,i+n,1);
		if(b[i]!=p1) continue;
		for(int j=h[i];j!=0;j=ne[j]){
			if(b[e[j]]!=b[i]) continue;
			if((!a1)&&l[j]==Min[p1]){
				a1=i;b1=e[j];id1=j;
			}
			else if((!a2)&&l[j]==Max[p1]){
				a2=i;b2=e[j];id2=j;
			}
			else if((e[j]==a1&&i==b1)||(e[j]==a2&&i==b2)) continue;
			else if(i<=e[j]){
//				cout<<i<<" "<<e[j]<<endl;
				top++;top++;
				addv(i+n,top,1);
				addv(e[j]+n,top,1);
				addv(top,top-1,1);
				addv(top-1,i,1);
				addv(top-1,e[j],1);
				l1[top]=i;r1[top]=e[j];
			}
		}
	}
	
	addv(s,a1+n,1);addv(s,b1+n,1);
	addv(a2,t,1);addv(b2,t,1);
	
	ll res=0;
	while(bfs()){
		ll x=0;
		while(x=dinic(s,INF)) res+=x;
	}
//	cout<<res<<endl;
	
//	cout<<endl;
	for(int i=1;i<=n;i++){
		for(int j=hv[i+n];j!=0;j=nev[j]){
			if(ev[j]<=t) continue;
//			cout<<i+n<<" "<<ev[j]<<" "<<lv[j]<<endl;
			if(lv[j]==0){
//				cout<<i<<" "<<ev[j]<<endl;
				addc(l1[ev[j]],r1[ev[j]]);
//				cout<<l1[ev[j]]<<" "<<r1[ev[j]]<<endl;
			}
		}
	}
	addc(a1,b1);addc(a2,b2);
	
	dfs3(a1);
	
	cout<<ans<<endl;
	cout<<v.size()<<endl;
	for(int i=0;i<v.size();i++){
		cout<<v[i]<<" ";
	}
	return 0;
}
/*
5 7
1 2 1
1 3 -2
2 3 1
3 4 3
4 5 1
1 5 -1
2 5 2

7 9
1 2 0
2 6 0
3 7 -100
6 7 0
1 4 100
4 5 0
2 5 0
5 6 0
2 3 0

5 6
1 3 100
1 4 0
3 4 0
4 2 0
4 5 0
5 2 -100
1 1 1 1 1 200
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 52208kb

input:

5 7
1 2 1
1 3 -2
2 3 1
3 4 3
4 5 1
1 5 -1
2 5 2

output:

5
4
1 3 4 5 

result:

ok ok

Test #2:

score: 0
Accepted
time: 75ms
memory: 73192kb

input:

99997 100000
12238 99016 352755196
99016 25485 -412473602
25485 2440 991507552
2440 31171 -181894654
36970 2440 -800167579
2440 41865 -148191946
96629 31171 847888506
36970 95740 395546542
27992 2440 647886610
99016 29557 369124914
80795 27992 -673871966
36970 3509 573208857
57672 29557 874406776
41...

output:

1959330954
37
31171 95092 34883 46301 96778 37694 88289 30288 68523 54073 84997 89628 67966 84407 3463 72825 51491 87712 96230 22074 72089 76022 86665 92617 74677 86274 94991 96048 4697 44442 68883 69259 57672 29557 99016 25485 2440 

result:

ok ok

Test #3:

score: 0
Accepted
time: 78ms
memory: 68800kb

input:

99997 100000
41884 21178 -431811360
41884 42699 -450057006
36523 21178 582079730
21178 96679 615552614
63637 21178 498974417
96679 5108 235820276
75058 41884 220112636
35148 42699 589595309
36523 18002 -637739861
65854 5108 -312755792
45137 41884 -511118771
5108 31311 554050951
25335 35148 -28341059...

output:

1968439328
40
33264 70298 99716 98733 71151 55330 83919 83711 38202 85192 45137 41884 42699 87673 23692 98098 99686 71024 89860 18331 78274 35287 14678 59612 54901 26981 83047 87303 41126 28694 6204 50088 5108 7577 69337 51434 52252 25926 90144 26071 

result:

ok ok

Test #4:

score: 0
Accepted
time: 73ms
memory: 72836kb

input:

99984 99999
33974 29867 335681778
33974 87468 348956829
83048 87468 320849805
29867 69456 -424530698
72457 69456 -950650074
53838 83048 755969166
85914 69456 569454441
51728 87468 -202158773
15970 29867 -865071002
15970 94894 697607001
94894 74694 616318126
33974 11496 -89287579
53838 34365 -6577379...

output:

1985932414
36
11395 92249 27866 23026 83298 1652 76013 29864 53838 83048 87468 51728 75902 5449 70238 97838 83656 91542 28078 78849 80694 50114 35807 13570 79841 32897 75496 85914 55808 57640 58540 79605 55857 61993 46598 303 

result:

ok ok

Test #5:

score: -100
Wrong Answer
time: 78ms
memory: 64292kb

input:

99988 99992
8584 11873 -811540160
68064 11873 -930246087
11873 60056 916668870
68064 82193 -859062523
60056 75072 790866030
27767 75072 357619485
75072 78221 411650300
39636 82193 264106928
6675 60056 933851261
71747 78221 -508471038
11873 92771 -665232168
34402 27767 -906494982
11873 42714 63734230...

output:

1932268861
19
75593 93559 21107 26922 8975 89787 23798 83283 2518 50628 88236 5185 29873 3186 91957 75072 60056 6675 32701 

result:

wrong answer Edge 32701-75593 does not appear in original graph