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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#862855#4809. Maximum RangehewanyingAC ✓65ms26652kbC++143.3kb2025-01-19 10:17:562025-01-19 10:17:59

Judging History

你现在查看的是最新测评结果

  • [2025-01-19 10:17:59]
  • 评测
  • 测评结果:AC
  • 用时:65ms
  • 内存:26652kb
  • [2025-01-19 10:17:56]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define pb push_back

const int N=1e5+5;
int n,m,dfn[N],low[N],idx,scc,bl[N],mn[N],mx[N],id,ans,st[N],tp=0;
struct Edge{int v,w;};
vector<Edge> G[N];
vector<int> Ans;

void tarjan(int u,int fa){
  dfn[u]=low[u]=++idx,st[++tp]=u;
  for(auto i:G[u]){
    int v=i.v;
    if(!dfn[v]) tarjan(v,u),low[u]=min(low[u],low[v]);
    else if(v!=fa) low[u]=min(low[u],dfn[v]);
  }
  if(low[u]==dfn[u]){
  	++scc;int x;
  	while((x=st[tp--])){
  	  bl[x]=scc;
  	  if(x==u) break;
	}
  }
}

namespace MF{
  int head[N],tot=1,lv[N],cur[N],S,T;
  
  struct edge{
  	int v,nxt,w;
  }e[N<<3];
  
  void add(int u,int v,int w1,int w2){
    e[++tot]={v,head[u],w1},head[u]=tot;
    e[++tot]={u,head[v],w2},head[v]=tot;
  }
  
  bool bfs(){
  	for(int i=S;i<=T;i++) lv[i]=-1,cur[i]=head[i];
  	queue<int> Q;lv[S]=0,Q.push(S);
  	while(!Q.empty()){
  	  int u=Q.front();Q.pop();
  	  for(int i=head[u];i;i=e[i].nxt){
  	    int v=e[i].v,w=e[i].w;
  	    if(w&&lv[v]==-1){
  	      lv[v]=lv[u]+1,Q.push(v);	
		  if(v==T) return true;
		}
	  }
	}
	return false;
  }
  
  int dfs(int u,int flow){
    if(!flow||u==T) return flow;
    int res=flow;
    for(int i=cur[u];i&&res;i=e[i].nxt){
      cur[u]=i;
      int v=e[i].v,w=e[i].w;
      if(w&&lv[v]==lv[u]+1){
      	int c=dfs(v,min(res,w));
      	res-=c,e[i].w-=c,e[i^1].w+=c;
	  }
	}
	return flow-res;
  }
  
  void dinic(){
    int res=0;
  	while(bfs()) res+=dfs(S,1e9);
//  	cerr<<"res = "<<res<<endl;
    assert(res==2);
  }
}
using namespace MF;

void BFS(){
  for(int i=S;i<=T;i++) lv[i]=-1;
  queue<int> Q;Q.push(S),lv[S]=1;
  while(!Q.empty()){
  	int u=Q.front();Q.pop();
  	for(int i=head[u];i;i=e[i].nxt){
  	  int v=e[i].v,w=e[i].w;
  	  if(w||~lv[v]) continue;
  	  lv[v]=lv[u]+1,Q.push(v);
  	  if(v==T){
//  	  	cerr<<"lv( "<<T<<" ) = "<<lv[T]<<endl;
  	    return;	
	  }
	}
  }
  assert(0);
}

void find(int u){
  if(u==S) return;
  if(u!=T) Ans.pb(u);
  for(int i=head[u];i;i=e[i].nxt){
  	int v=e[i].v;
  	if(e[i^1].w||lv[v]!=lv[u]-1) continue;
  	e[i^1].w=1,find(v);
  	break;
  }
}

int main(){
//  freopen("1.in","r",stdin);
  /*2025.1.19 H_W_Y QOJ 4809. Maximum Range 边双 + 网络流*/ 
  ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
  cin>>n>>m;
  for(int i=1,u,v,w;i<=m;i++) cin>>u>>v>>w,G[u].pb({v,w}),G[v].pb({u,w});
  for(int i=1;i<=n;i++) if(!dfn[i]) tarjan(i,0);
  for(int i=1;i<=scc;i++) mn[i]=1e9,mx[i]=-1e9;ans=-1e9;
  
  for(int u=1;u<=n;u++)
  	for(auto i:G[u]) if(bl[u]==bl[i.v]) mn[bl[u]]=min(mn[bl[u]],i.w),mx[bl[u]]=max(mx[bl[u]],i.w);
  
  for(int i=1;i<=scc;i++) if(mx[i]-mn[i]>ans) ans=mx[i]-mn[i],id=i;
  
  cout<<ans<<'\n';
  
  vector<int> V(0);
  for(int i=1;i<=n;i++) if(bl[i]==id) V.pb(i);
  
  S=0,T=n+1;
  for(int u:V){
  	for(auto i:G[u]){
  	  int v=i.v,w=i.w;
	  if(bl[u]!=bl[v]||v<u) continue;
	  if(w==mn[id]) add(S,u,1,0),add(S,v,1,0),mn[id]=1e9+1;
	  else if(w==mx[id]) add(u,T,1,0),add(v,T,1,0),mx[id]=-1e9-1;
	  else add(u,v,1,1);
	}
  }
  
  dinic();
  
  BFS(),find(T);
  V=Ans,Ans.clear(),BFS(),find(T);
  for(int i=(int)V.size()-1;i>=0;i--) Ans.pb(V[i]);
  
  cout<<(int)Ans.size()<<'\n';
  for(int i:Ans) cout<<i<<' ';
  cout<<'\n';
  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
*/

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 9968kb

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
4 5 1 3 

result:

ok ok

Test #2:

score: 0
Accepted
time: 31ms
memory: 14984kb

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

result:

ok ok

Test #3:

score: 0
Accepted
time: 27ms
memory: 14736kb

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
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 33264 70298 99716 98733 71151 55330 83919 83711 38202 85192 45137 41884 42699 87673 23692 

result:

ok ok

Test #4:

score: 0
Accepted
time: 31ms
memory: 14732kb

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

result:

ok ok

Test #5:

score: 0
Accepted
time: 29ms
memory: 13256kb

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
30
60056 75072 91957 3186 29873 5185 88236 50628 2518 83283 23798 89787 8975 26922 21107 93559 75593 83884 20678 16385 62720 25891 75176 34179 64174 38274 8778 99809 28745 6675 

result:

ok ok

Test #6:

score: 0
Accepted
time: 31ms
memory: 14152kb

input:

99996 99996
58191 98120 261718607
91298 98120 471683748
58191 68921 217652908
67441 91298 -731916804
78177 68921 810185021
98120 54747 -35446486
78177 2822 -409569426
91298 68058 -897038977
68921 39067 892161204
30165 78177 379543758
32418 98120 -139944101
11281 68921 422411872
37751 32418 331606200...

output:

1752928792
25
29915 78216 34081 11281 68921 58191 48440 3783 3308 58464 1917 30739 77560 4369 46983 74019 64478 81854 65221 16812 67249 25934 42296 85525 18913 

result:

ok ok

Test #7:

score: 0
Accepted
time: 31ms
memory: 15216kb

input:

99996 100000
39127 4358 657531703
4358 66528 484843263
47215 4358 -856669390
47215 26179 -147254695
24822 39127 -635228854
81984 26179 600617794
24822 60559 327733708
39127 23879 286268283
95563 81984 -766366787
96587 24822 723252700
23879 13711 -303309809
60559 38379 992907085
60559 6012 -15086498
...

output:

1948904917
51
38379 67362 37704 53517 23254 1066 28267 79904 54151 24450 79459 52647 10570 24822 96587 8030 37095 66385 91374 70789 41482 30145 90743 13465 63827 91154 38051 24890 82877 61378 4358 24485 97465 31390 67183 42006 3750 74141 92093 19383 58919 73608 27325 12024 60168 16150 13711 23879 39...

result:

ok ok

Test #8:

score: 0
Accepted
time: 30ms
memory: 14748kb

input:

99983 99998
360 38113 273639182
29807 360 -492749399
360 45494 960572841
67090 45494 -168787586
38113 61765 -90469418
71988 360 -556152065
67090 77653 704061103
30847 38113 542389160
84363 30847 295740326
30847 62591 -916431414
86104 77653 878763485
45494 11422 -795069866
86104 64096 714130240
61765...

output:

1972142685
35
64559 25273 47913 1904 50615 97340 8333 42546 32497 58830 58078 3710 93146 3381 46673 75450 28454 29807 67396 49296 2351 1877 74104 85692 24073 31895 12093 71599 84363 30847 38113 360 45494 67090 85762 

result:

ok ok

Test #9:

score: 0
Accepted
time: 35ms
memory: 15320kb

input:

99991 99993
70785 63179 -402654804
91872 63179 -441007900
30847 70785 779215016
72954 63179 -228470351
92375 30847 534166099
49724 63179 -37611056
44235 70785 -443931516
38220 44235 -187234181
44235 63035 -237171010
30847 50624 118354734
92375 24980 -382011924
56418 50624 -658160541
50624 10991 -966...

output:

1793776773
23
31140 44630 73442 3092 58361 62402 66274 56013 57891 97526 53000 30214 85483 52773 86737 91872 63179 72954 40199 70428 9524 46153 84999 

result:

ok ok

Test #10:

score: 0
Accepted
time: 33ms
memory: 14916kb

input:

99995 99997
93178 82375 -969044986
93178 19072 -204354005
35344 93178 172625135
93178 56390 -284098052
88798 19072 842699965
82375 24707 508376359
19072 71420 2142150
40446 93178 -437060610
40446 51377 -236216782
51377 89470 -349454494
19614 71420 -747727667
89470 14659 91615005
35344 49064 -7684125...

output:

1928930936
17
41657 3529 84372 80688 55069 65439 61912 53143 48876 3209 51377 40446 93178 82375 19871 6259 13782 

result:

ok ok

Test #11:

score: 0
Accepted
time: 35ms
memory: 15164kb

input:

99984 99992
13417 15144 707033172
79217 13417 -472387862
26033 13417 -36135406
13417 16174 -89686765
16174 96840 613288820
13417 11444 -398371819
11444 41716 627519572
41716 5951 233568303
96840 41978 -755500822
55150 41716 715325856
41978 88656 816236450
15144 5839 644375332
88656 95763 878003222
6...

output:

1958415767
40
11993 93511 80696 35258 84539 78871 41533 72086 64840 71601 61488 1019 19346 20549 6162 15155 65480 95763 95939 39284 33954 92172 82891 26100 81816 24802 65474 44860 12538 28616 36613 4719 62781 15965 90176 17104 96840 16174 13417 26033 

result:

ok ok

Test #12:

score: 0
Accepted
time: 56ms
memory: 19116kb

input:

80000 98516
26903 1777 -924244496
60501 50043 -169932745
73857 9688 924119596
51789 37304 -395289958
66012 19584 677645038
36094 31329 -438857807
23716 36356 333796707
64800 10550 -272867916
24677 61533 -276717055
37159 23410 564922612
57429 13265 -535543043
53527 15651 304660186
13261 58532 2102669...

output:

1999981013
59626
55945 35610 33489 22956 37280 71306 40096 5554 78997 11316 25051 25291 37401 68116 11903 62056 58809 6365 3574 65862 23850 57161 50170 42566 44274 11751 21406 42594 52409 21213 51177 73528 2409 21188 25284 13655 44843 43087 36973 78428 59898 31146 50116 62128 28220 56068 64331 40264...

result:

ok ok

Test #13:

score: 0
Accepted
time: 37ms
memory: 18404kb

input:

80000 94684
787 61972 -860542411
20083 27809 428832046
4166 26381 209001312
20451 29135 61290072
27638 15329 -490707445
59773 62375 228047113
41999 67706 -799550202
19069 6355 948713742
55898 70936 -879012749
13950 62531 -590275719
50627 17883 622866713
69768 13748 953427970
48538 24420 123552876
18...

output:

1999848367
19139
62625 3089 26776 28230 37002 9379 75740 44182 26012 44857 24205 59521 60388 44934 8906 61725 53397 67718 11637 45354 4057 7264 58884 69497 31336 14596 17434 59719 18426 40360 24153 72600 33742 1985 3288 12168 76551 62303 75365 11465 75065 60859 5141 48718 79005 5881 1398 56836 68611...

result:

ok ok

Test #14:

score: 0
Accepted
time: 48ms
memory: 17864kb

input:

85000 100000
12684 20697 -831379236
10219 41211 -539041569
17720 69181 -525999432
58189 3530 -215648248
29815 3583 -430621047
9529 62763 -641420982
54333 16217 517578175
3636 39822 -659701191
77761 44172 489371539
55825 60143 523113008
70503 23773 907033043
33924 58465 321062719
14586 28291 -3111270...

output:

1999860030
29750
74612 41650 66831 81261 52775 53632 48690 64262 6940 16530 16132 33762 12106 56678 41491 76176 79489 41293 65955 46190 34744 641 75419 81981 46957 58329 58150 79942 14961 11222 75086 12737 66265 21984 18776 44924 20511 37035 12940 73723 66805 79286 61000 54411 63511 41951 24676 4901...

result:

ok ok

Test #15:

score: 0
Accepted
time: 46ms
memory: 21364kb

input:

90000 98235
4034 56551 535462424
1285 78054 -432396039
13482 78432 326444126
36922 32666 -423303402
46270 14278 327106206
73367 11943 -120750644
57985 1074 521321207
51396 70877 604419844
80121 19287 -807213060
83316 29903 437891049
11641 29638 -109912627
54265 78774 -197898831
30288 41596 5540178
6...

output:

1999860693
31500
47504 85305 11801 10092 3262 13537 8454 12046 86509 81553 87813 19789 19084 63290 52151 43074 80986 35871 57078 79156 38089 38185 17865 31084 63629 49608 75048 11276 3347 20016 65182 33570 38790 43422 48861 16599 86347 78378 10710 52435 49152 73910 80853 64309 37425 33802 49926 1226...

result:

ok ok

Test #16:

score: 0
Accepted
time: 0ms
memory: 9968kb

input:

3 3
1 2 233
2 3 233
3 1 233

output:

0
3
3 2 1 

result:

ok ok

Test #17:

score: 0
Accepted
time: 32ms
memory: 17524kb

input:

80000 98516
79421 53468 -473723591
32949 9872 -473723591
62946 8406 -473723591
59103 43576 -473723591
16122 2510 -473723591
71372 57984 -473723591
69594 62336 -473723591
62408 2967 -473723591
55049 42762 -473723591
59003 53689 -473723591
40025 11987 -473723591
45334 77817 -473723591
78189 13603 -473...

output:

0
4
41341 37876 78187 1 

result:

ok ok

Test #18:

score: 0
Accepted
time: 32ms
memory: 15432kb

input:

80000 94684
47824 74620 763247771
43134 68794 613332131
70242 39382 613332131
66806 65879 75791783
75560 29585 -737165426
45214 2688 -196239255
8769 36609 75791783
37142 48567 891334271
6698 68647 -647334986
19812 30219 75791783
54674 54464 75791783
37193 432 312981361
61862 8510 924505446
46265 217...

output:

0
4
73213 36103 58244 24900 

result:

ok ok

Test #19:

score: 0
Accepted
time: 39ms
memory: 15052kb

input:

85000 100000
31990 69099 -1731161
74081 84474 -843271979
69532 6116 -722727335
3141 60259 343298872
38598 67962 -767329308
30683 39703 -891912298
38710 77516 588627702
73818 32961 -280568563
67819 68460 -280568563
83602 37746 447820859
62363 72940 424564587
75905 14504 -672710766
36204 47164 -309254...

output:

0
5
58561 34469 53339 39155 34404 

result:

ok ok

Test #20:

score: 0
Accepted
time: 38ms
memory: 17228kb

input:

90000 98235
69866 86722 78531852
30106 32321 327858881
79041 9815 -587712775
79725 49462 -125435461
69389 86092 -1577070
50897 14792 41432121
56667 24207 607577044
57695 13616 -918716805
85852 55356 373162845
14242 66828 373162845
22169 53706 122244212
12914 13232 -32572189
89479 43813 373162845
170...

output:

0
3
85938 64237 41311 

result:

ok ok

Test #21:

score: 0
Accepted
time: 65ms
memory: 21232kb

input:

95000 95100
62823 7972 -98597476
11872 80236 -376224359
36239 18998 152179746
2941 59846 675971975
31009 87130 277327502
46848 88613 920187456
32265 89904 394908111
32665 71981 -717413241
22224 29525 -692676756
65253 56311 -576492743
55461 93031 -170229140
55015 388 -497138138
45550 26917 -268626991...

output:

1915204480
95000
4160 28774 9601 12786 64656 75876 34088 81064 87033 74037 68479 94509 16480 85808 59811 53334 74221 59899 74482 78202 64059 79325 72671 11742 2460 44103 76317 21215 63349 10894 85505 74515 11122 28133 88738 12088 31835 71636 30838 10996 53910 13126 4429 61885 37717 79146 38801 28050...

result:

ok ok

Test #22:

score: 0
Accepted
time: 61ms
memory: 23572kb

input:

95000 96000
8007 59556 217030444
46023 14373 -128335181
570 85822 126207845
80762 41869 723617383
46198 31613 465974823
58802 50379 140015731
2888 19011 720151475
74117 24138 -552326878
17454 57986 -347055744
36830 84433 -534562264
50548 57713 -335694553
93993 32600 -419354047
32724 61082 -652619648...

output:

1929035844
95000
55797 70375 55208 69436 10236 82930 47107 11338 64024 88391 37212 30148 4155 74356 59638 17907 17692 4111 14410 25015 27873 84369 33812 78104 73020 21751 55849 27804 6637 67300 35786 18946 78261 71268 57562 8755 57087 57336 57193 16212 31748 82986 42555 69309 4135 5563 83660 44209 8...

result:

ok ok

Test #23:

score: 0
Accepted
time: 63ms
memory: 21572kb

input:

95000 100000
34956 60336 45395839
40278 30507 251182515
25816 87070 224950942
60653 29762 -585384516
62881 91427 422022135
44457 4481 606128079
41132 25251 -160882610
32094 84433 691041934
36977 23421 351841455
86462 6561 -425673978
22134 14854 -534276133
21754 19992 795688135
47865 45188 433897879
...

output:

1906862084
95000
12918 76752 64034 65248 93980 79643 50918 48972 58370 54141 59655 33427 60057 24196 6592 30619 26318 59168 73090 65849 18149 4210 74992 65491 64937 89663 87597 55980 92832 65952 49573 86429 30956 30082 47134 69947 45162 15353 78588 26329 3227 82121 1937 66368 93407 75146 88771 8405 ...

result:

ok ok

Test #24:

score: 0
Accepted
time: 62ms
memory: 21832kb

input:

99900 100000
70100 76896 -51386609
16964 79827 516332810
7183 80746 628092448
41385 96532 501920794
42994 48777 82641247
96028 56184 -67050812
32451 50173 -544563060
82225 66648 -50784922
2128 11900 360969680
70814 64690 710732642
83492 60589 106381086
94529 85166 -526924556
46377 77116 948457811
54...

output:

1895701144
99900
33009 26058 41364 2779 22481 81400 86821 70606 90239 70440 50483 86186 59350 15393 59117 59716 37520 3500 96659 2804 26839 20951 80304 9225 98101 63775 38194 65690 33904 9162 63572 58818 15707 62003 36733 80479 14536 67518 2474 1337 50750 75553 60352 24098 73588 31126 85671 67679 69...

result:

ok ok

Test #25:

score: 0
Accepted
time: 64ms
memory: 24488kb

input:

99990 100000
4011 68478 536045518
71538 84132 -940987458
2848 98397 -45141986
69542 48174 -35014400
28195 49500 447539981
97581 41986 205494807
31381 26461 -370585813
42843 8193 -69421974
33975 6124 -486808164
97261 43284 264346869
82796 18093 -14556989
32565 65612 -835815105
1213 99363 105551948
13...

output:

1888920939
99990
1151 13320 7872 53372 28034 55489 87260 52267 24490 57942 22696 60303 40611 76464 24036 7906 48142 44216 27129 37952 65232 67001 55040 57192 5998 77196 68962 18573 18183 27813 70979 80664 60598 88075 17702 21222 80785 39748 24272 93851 54997 77667 91597 77214 42433 29237 95730 1557 ...

result:

ok ok

Test #26:

score: 0
Accepted
time: 64ms
memory: 26652kb

input:

100000 100000
59304 76015 219875086
5260 1994 159258480
64311 53789 590132314
26577 82648 -132474446
81935 37887 643839658
75588 65296 -360133388
36819 63467 -804039106
83511 11104 307929972
82884 73421 -18000026
68841 40306 889617346
29987 70305 -422194823
54347 24412 -95291130
18090 67916 -9315885...

output:

1843628719
100000
61477 73232 673 75201 1191 79581 16125 88394 27574 73704 732 7933 84091 51920 49453 69820 56161 69797 41719 33315 34457 69403 67146 18364 69609 68732 93066 91737 51630 6089 57322 42568 77062 5422 13354 1776 48268 54254 85063 71917 23605 59185 69183 90746 38708 12445 95405 23560 935...

result:

ok ok