QOJ.ac

QOJ

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
#60055#4809. Maximum RangexiaoyaowudiRE 91ms75328kbC++177.1kb2022-11-02 19:30:552022-11-02 19:30:58

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-11-02 19:30:58]
  • 评测
  • 测评结果:RE
  • 用时:91ms
  • 内存:75328kb
  • [2022-11-02 19:30:55]
  • 提交

answer

#include <iostream>
#include <vector>
#include <tuple>
#include <algorithm>
#include <functional>
constexpr int N(400010),inf(1.01e9);
using t3i=std::tuple<int,int,int,int>;
using veci=std::vector<int>;
int bcnt,n,m;
t3i mxm[N],mnm[N];
veci pts[N],ts[N<<1],gs[N];
#define DEBUG {if(m==98516) std::cout<<__FUNCTION__<<std::endl;}
//#define DEBUG
std::vector<std::pair<int,int>> eds[N],es[N];
void tarjan(int u)
{
	static std::tuple<int,int,int> stk[N];
	static int top,dfn[N],low[N],dcnt;
	dfn[u]=low[u]=++dcnt;stk[++top]={u,-1,-1};
	for(auto [v,w]:es[u])
	{
		if(!dfn[v])
		{
			tarjan(v);low[u]=std::min(low[u],low[v]);
			if(low[v]==dfn[u])
			{
				int k=++bcnt;
				pts[k].emplace_back(u);
				mxm[k]={-inf,0,0,0},mnm[k]={inf,0,0,0};
				while(1)
				{
					auto [x,y,w]=stk[top--];
					// std::cerr<<x<<" "<<y<<" "<<w<<std::endl;
					if(~y) eds[k].emplace_back(x,y),mxm[k]=std::max(mxm[k],{w,x,y,k+n}),mnm[k]=std::min(mnm[k],{w,x,y,k+n});
					else
					{
						pts[k].emplace_back(x);
						if(x==v) break;
					}
				}
				if(eds[k].size()>1)
				{
					for(int v:pts[k]) ts[k+n].emplace_back(v),ts[v].emplace_back(k+n);
				}
			}
		}
		else if(dfn[v]<dfn[u]) stk[++top]={u,v,w},low[u]=std::min(low[u],dfn[v]);
	}
}
std::pair<veci,veci> calc(const veci &vs,const veci &vall)
{
	DEBUG;
	int l=vs.size(),u=vs[0],v=vs[l-1];
	static int fu[N],fv[N];
	static bool mk[N];
	for(int i:vall) fu[i]=fv[i]=0,mk[i]=false;
	for(int k:vs) mk[k]=true;
	std::function<void(int,int,int*)> dfs=[&dfs](int u,int fa,int *ff){ff[u]=fa;if(mk[u]) return;for(int v:gs[u]) if(!ff[v]) dfs(v,u,ff);};
	fu[u]=-1;for(int k:gs[u]) if(!mk[k] && !fu[k]) dfs(k,u,fu);
	fv[v]=-1;for(int k:gs[v]) if(!mk[k] && !fv[k]) dfs(k,v,fv);
	// if(n==99996 && m==100000) std::cout<<"❤"<<std::endl;
	if(fv[u])
	{
		// if(n==99996 && m==100000) std::cout<<"❤gyc"<<std::endl;
		veci res;
		for(int i(u);~i;i=fv[i]) res.emplace_back(i);
		if(n==99996 && m==100000)
		{
			// std::cout<<"end"<<std::endl;
			// if(n==99996 && m==100000) for(int i(0);i<std::min<int>(5,vs.size());++i) std::cout<<vs[vs.size()-i-1]<<" ";std::cout<<std::endl;
			// if(n==99996 && m==100000) for(int i(0);i<std::min<int>(5,res.size());++i) std::cout<<res[res.size()-i-1]<<" ";std::cout<<std::endl;
		}
		return {vs,res};
	}
	int p1(1);while(!fv[vs[p1]]) ++p1;
	int p2(p1+1);while(!fu[vs[p2]]) ++p2;
	// if(n==99996 && m==100000) std::cout<<p1<<" "<<p2<<" "<<l<<std::endl;
	veci r1;for(int i(vs[p2]);~i;i=fu[i]) r1.emplace_back(i);std::reverse(r1.begin(),r1.end());r1.insert(r1.end(),vs.begin()+p2+1,vs.end());
	veci r2;r2.insert(r2.begin(),vs.begin(),vs.begin()+p1);for(int i(vs[p1]);~i;i=fv[i]) r2.emplace_back(i);
	// if(n==99996 && m==100000) for(int i(0);i<std::min<int>(5,r1.size());++i) std::cout<<r1[i]<<" ";std::cout<<std::endl;
	// if(n==99996 && m==100000) for(int i(0);i<std::min<int>(5,r2.size());++i) std::cout<<r2[i]<<" ";std::cout<<std::endl;
	return {r1,r2};
}
veci solve_path(veci pts,int u,int v,int frb,int pre)
{
	DEBUG;
	static int fs[N];
	static bool vis[N];
	fs[pre]=0;
	std::function<void(int,int)> dfs=[&](int u,int fa)->void{fs[u]=fa;vis[u]=true;for(int v:gs[u]) if(!vis[v] && v!=frb) dfs(v,u);};
	dfs(v,pre);
	veci ret;
	for(int k:pts) vis[k]=false;
	for(int i(u);i;i=fs[i]) ret.emplace_back(i);
	// if(n==99996 && m==100000){std::cout<<*ret.rbegin()<<" "<<v<<" "<<pre<<std::endl;}
	return ret;
}
std::pair<veci,veci> solve1(int idx,int u,int v,int s)
{
	DEBUG;
	idx-=n;
	for(auto [u,v]:eds[idx]) gs[u].emplace_back(v),gs[v].emplace_back(u);
	std::pair<veci,veci> res;
	if(u==s)
	{
		res=calc({s,v},pts[idx]);
	}
	else
	{
		res=calc(solve_path(pts[idx],s,v,u,u),pts[idx]);
	}
	for(int u:pts[idx]) gs[u].clear();
	return res;
}
std::pair<veci,veci> solve2(int idx,int u,int v)
{
	DEBUG;
	idx-=n;
	for(auto [u,v]:eds[idx]) gs[u].emplace_back(v),gs[v].emplace_back(u);
	auto res=calc(solve_path(pts[idx],u,v,0,0),pts[idx]);
	for(int u:pts[idx]) gs[u].clear();
	return res;
}
veci solve3(int idx,int u,int v,int s,int t)
{
	DEBUG;
	idx-=n;
	for(auto [u,v]:eds[idx]) gs[u].emplace_back(v),gs[v].emplace_back(u);
	auto hp=[](std::pair<veci,veci> pr,veci vall)->veci
	{
		auto [p1,p2]=pr;
		std::reverse(p2.begin(),p2.end());
		p1.pop_back();p2.pop_back();
		p1.insert(p1.end(),p2.begin(),p2.end());
		for(int v:vall) gs[v].clear();
		return p1;
	};
	if(v==s || v==t) return hp(calc({u,v,(s^t^v)},pts[idx]),pts[idx]);
	else if(u==s || u==t) return hp(calc({v,u,(s^t^u)},pts[idx]),pts[idx]);
	auto pt=solve_path(pts[idx],v,s,t,t);
	int hu=-1,len=pt.size();
	for(int k(0);k<len;++k) if(pt[k]==u){hu=k;break;}
	// if(n==99997) std::cout<<hu<<std::endl;
	if(~hu)
	{
		pt.erase(pt.begin()+1,pt.begin()+hu);
	}
	else pt.insert(pt.begin(),u);
	// for(int i=0;i<std::min<int>(pt.size(),10);++i) std::cout<<pt[i]<<" ";std::cout<<std::endl;
	return hp(calc(pt,pts[idx]),pts[idx]);
}
int main()
{
	DEBUG;
	std::ios::sync_with_stdio(false);
	std::cin.tie(0);std::cin>>n>>m;
	for(int i(1),u,v,w;i<=m;++i) std::cin>>u>>v>>w,es[u].emplace_back(v,w),es[v].emplace_back(u,w);
	tarjan(1);
	if(m==98516) std::cout<<"❤"<<std::endl;
	static bool vis[N<<1];
	std::function<void(int,t3i&,t3i&)> dfs1=[&dfs1](int u,t3i &mx,t3i &mn)->void
	{
		if(u>n) mx=std::max(mxm[u-n],mx),mn=std::min(mnm[u-n],mn);vis[u]=true;
		for(int v:ts[u]) if(!vis[v]) dfs1(v,mx,mn);
	};
	int ans=-1,su,sv,sk,tu,tv,tk;
	for(int i(1);i<=n;++i) if(!vis[i] && ts[i].size())
	{
		t3i mn{inf,0,0,0},mx{-inf,0,0,0};
		dfs1(i,mx,mn);
		auto [w1,e1u,e1v,v1]=mn;auto [w2,e2u,e2v,v2]=mx;
		if(w2-w1>ans)
		{
			ans=w2-w1;
			su=e1u;sv=e1v;sk=v1;
			tu=e2u;tv=e2v;tk=v2;
		}
	}
	std::cout<<ans<<std::endl;
	if(sk!=tk)
	{
		static int ff[N<<1];
		std::function<void(int,int)> dfs2=[&dfs2](int u,int fa)->void{ff[u]=fa;for(int v:ts[u])if(fa!=v) dfs2(v,u);};
		dfs2(tk,0);
		static int vs[N<<1],vc;
		for(int i(sk);i;i=ff[i]) vs[++vc]=i;
		auto [r1,r2]=solve1(sk,su,sv,vs[2]);
		std::reverse(r1.begin(),r1.end());std::reverse(r2.begin(),r2.end());
		for(int i=3;i<vc;i+=2)
		{
			auto [c1,c2]=solve2(vs[i],vs[i-1],vs[i+1]);
			c1.erase(c1.begin());c2.erase(c2.begin());
			r1.insert(r1.end(),c1.begin(),c1.end());
			r2.insert(r2.end(),c2.begin(),c2.end());
		}
		auto [c1,c2]=solve1(tk,tu,tv,vs[vc-1]);
		// std::reverse(c1.begin(),c1.end());std::reverse(c2.begin(),c2.end());
		c1.erase(c1.begin());c2.erase(c2.begin());
		DEBUG;
		r1.insert(r1.end(),c1.begin(),c1.end());
		r2.insert(r2.end(),c2.begin(),c2.end());
		std::reverse(r2.begin(),r2.end());r1.erase(--r1.end());r2.erase(--r2.end());
		// if(n==99996 && m==100000){
		// 	for(int i(0);i<std::min<int>(5,r1.size());++i) std::cout<<r1[i]<<" ";std::cout<<std::endl;
		// 	for(int i(0);i<std::min<int>(5,r2.size());++i) std::cout<<r2[i]<<" ";std::cout<<std::endl;
		// }
		r1.insert(r1.end(),r2.begin(),r2.end());
		std::cout<<r1.size()<<std::endl;
		for(int v: r1) std::cout<<v<<" ";std::cout<<std::endl;
	}
	else
	{
		auto r1=solve3(sk,su,sv,tu,tv);
		std::cout<<r1.size()<<std::endl;
		for(int v:r1) std::cout<<v<<" ";std::cout<<std::endl;
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 8ms
memory: 61084kb

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
5
1 3 4 5 2 

result:

ok ok

Test #2:

score: 0
Accepted
time: 91ms
memory: 74612kb

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
56
31171 2440 27992 90367 94522 24616 56899 57732 80256 964 80875 37318 41262 21467 79804 22393 7822 43423 93639 10503 73944 25485 99016 29557 57672 69259 68883 44442 4697 96048 94991 86274 74677 92617 86665 76022 72089 22074 96230 87712 51491 72825 3463 84407 67966 89628 84997 54073 6852...

result:

ok ok

Test #3:

score: 0
Accepted
time: 64ms
memory: 74504kb

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

result:

ok ok

Test #4:

score: 0
Accepted
time: 63ms
memory: 75268kb

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
194
11395 92249 27866 23026 83298 1652 76013 55585 53162 41141 5525 41602 63721 42073 54251 11958 88466 28353 49296 99532 17325 75547 55727 29864 31939 52174 85999 70541 55140 80600 7311 63247 51807 97023 29296 25952 23014 84486 96848 6053 59406 91605 30363 85067 58162 86558 90720 49758 5...

result:

ok ok

Test #5:

score: 0
Accepted
time: 67ms
memory: 74688kb

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

result:

ok ok

Test #6:

score: 0
Accepted
time: 68ms
memory: 74192kb

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

result:

ok ok

Test #7:

score: 0
Accepted
time: 68ms
memory: 74908kb

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
3750 42006 67183 31390 97465 24485 4358 61378 82877 24890 38051 91154 63827 13465 90743 30145 41482 70789 91374 66385 37095 8030 96587 24822 60559 38379 67362 37704 53517 23254 1066 28267 79904 54151 24450 79459 52647 10570 24822 39127 23879 13711 16150 60168 12024 27325 73608 58919 19...

result:

ok ok

Test #8:

score: 0
Accepted
time: 60ms
memory: 75328kb

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
137
2351 1877 74104 85692 24073 31895 12093 71599 84363 60240 6158 99740 69186 12031 18019 7750 21724 14234 39291 73803 13230 24676 94564 87910 50366 17895 74075 50222 4596 58149 25193 47792 42972 81621 50764 21709 1606 83344 60176 19851 32593 52882 82678 44609 43099 61765 38113 360 45494...

result:

ok ok

Test #9:

score: 0
Accepted
time: 71ms
memory: 74520kb

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
39
70428 40199 72954 63179 91872 86737 52773 88607 72565 79936 99322 80941 32990 98025 93383 10342 39802 65937 69200 27731 60080 82953 6367 23087 30350 53000 97526 57891 56013 66274 62402 58361 3092 73442 44630 31140 84999 46153 9524 

result:

ok ok

Test #10:

score: 0
Accepted
time: 71ms
memory: 74436kb

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
26
82375 93178 40446 51377 3209 48876 53143 61912 65439 55069 80688 84372 3529 41657 13782 96148 78635 7380 82571 70423 39549 27601 98304 38246 16753 14342 

result:

ok ok

Test #11:

score: 0
Accepted
time: 74ms
memory: 75056kb

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
74
81816 24802 65474 44860 12538 28616 36613 4719 62781 15965 90176 17104 96840 16174 13417 15144 29934 37181 57620 99944 66909 95292 28981 93918 87080 45682 5504 21866 76439 75473 69037 44363 77942 76954 65594 651 70951 78305 62683 13064 22974 65480 15155 6162 20549 19346 1019 61488 7160...

result:

ok ok

Test #12:

score: -100
Runtime Error

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
solve1
calc
solve2
solve_path
calc

result: