oj.uz

답안 #982397

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
982397 2024-05-14T08:08:25 Z Lib 자매 도시 (APIO20_swap) C++14
0 / 100
 2000 ms 56876 KB 
#include <bits/stdc++.h>
using namespace std;
int n,m,a,b,c;
vector <vector <int> > InComponents;
vector <vector <int> > adj; //the edge list of the KRT
vector <int> TVector;
int RootID; //ID of the root node of the KRT;
struct Edge{
	long long Weight;
	int Start;
	int End;
};
bool operator< (const Edge &x, const Edge &y){
	return x.Weight<y.Weight;
}
Edge Elist[500003];
int Depth[500003];
int Deg[500003];
int CurRep[500003]; //id of the respresentative node on the KRT
int Par[500003]; //Parent of node with id i on the KRT;
int Toggle[500003]; //is the i-th node on the KRT toggled?
int Check[500003];
int Ancestor[500003][20];
int Val[500003];//the value of the i-th node of the KRT
vector <int> KRTID;
int GetRep(int u){
	if(CurRep[u]==-1){
		return u;
	}else{
		return CurRep[u]=GetRep(CurRep[u]);
	}
}
void DSU(int id, int u, int v, int w){
	int CurID=n-1+id;
	Deg[u]++;
	Deg[v]++;
	//u and v belongs to the same component. The component now has a cycle. Immediately toggle the root node of the current 
	//subtree that includes both u and v on the KRT
	//Screw partial, binary tree KRT, opt into full-KRT instead
	int RepU=GetRep(u), RepV=GetRep(v);
	if(RepU==RepV){
		Par[RepU]=CurID;
		Val[CurID]=w;
		adj[RepU].push_back(CurID);
		adj[CurID].push_back(RepU);
		//The node isn't toggled just yet. Toggle it immediately as there is a cycle
		Toggle[CurID]=1;
	}else{
		//u and v doesn't belong to the same component. Merge them
		int OldComp1=RepU, OldComp2=RepV;
		adj[RepU].push_back(CurID);
		adj[RepV].push_back(CurID);
		adj[CurID].push_back(RepU);
		adj[CurID].push_back(RepV);
		Par[RepU]=CurID;
		Par[RepV]=CurID;
		CurRep[RepU]=CurID;
		CurRep[RepV]=CurID;
		Val[CurID]=w; //if I got WA because I forgot to set the fucking node weight to the nodes on the KRT, I'll shove 3 fingers up my ass.
		//if either of the components are toggled already (having a cycle OR a vertex with degree >=3)
		//OR the merged component has a vertex with degree >3 (either u or v), toggle immediately
		if(Toggle[OldComp1]||Toggle[OldComp2]||Deg[u]>2||Deg[v]>2){
			Toggle[CurID]=1;
		}
	}
	//cout<<CurID<<" ";
}
void init(int N, int M, vector <int> U, vector <int> V, vector <int> W){
	n=N;
	m=M;
	for(int i=0;i<n+m+5;i++){
		InComponents.push_back(TVector);
		adj.push_back(TVector);
	}
	for(int i=1;i<=m;i++){
		Elist[i].Weight=W[i-1];
		Elist[i].Start=U[i-1];
		Elist[i].End=V[i-1];
	}
	sort(Elist+1,Elist+m+1);
	for(int i=0;i<=m+n+1;i++){
		CurRep[i]=-1;
		Toggle[i]=0;
	}		
	for(int i=1;i<=m;i++){
		DSU(i,Elist[i].Start,Elist[i].End,Elist[i].Weight);
	}
	//The KRT is now built. BFS from the root node and initialize LCA or something
	deque <int> dq;
	RootID=n+m-1;
	dq.push_back(RootID);
	Check[RootID]=1;
	int Cur;
	while(!dq.empty()){
		Cur=dq.front();
		//cout<<Cur<<" ";
		for(int i=0;i<adj[Cur].size();i++){
			if(!Check[adj[Cur][i]]){
				dq.push_back(adj[Cur][i]);
				Check[adj[Cur][i]]=1;
				Depth[adj[Cur][i]]=Depth[Cur]+1;
			}
		}
		dq.pop_front();
	}
	for(int i=0;i<=19;i++){
		for(int k=0;k<n+m;k++){
			if(i==0){
				Ancestor[k][i]=Par[k];
			}else{
				Ancestor[k][i]=Ancestor[Ancestor[k][i-1]][i-1];
			}
		}
	}
}
int getMinimumFuelCapacity(int x, int y){
	//I thought that we actually need to use binary lifting to find LCA and then jump from the LCA to find the nearest
	//toggled node on the KRT
	//But apparently small-to-large merging ensures that the depth of the tree is always logN or something, so bruteforcing
	//it is
	//ok nvm this guy is a fucking moron lmao LogN depth my ass. Wrong analysis, wasted 5 minutes. Fuck me
	if(!Toggle[RootID]){
		return -1;
	}
	
	if(Depth[x]<Depth[y]){
		swap(x,y);
	}
	/*
	int JumpLevel=Depth[x]-Depth[y];
	for(int i=19;i>=0;i--){
		if(JumpLevel >> i & 1){
			x=Ancestor[x][i];
		}
	}
	if(x==y){
		goto SkipPoint;
	}
	for(int i=19;i>=0;i--){
		if(Ancestor[x][i]!=Ancestor[y][i]){
			x=Ancestor[x][i];
			y=Ancestor[y][i];
		}
	}
	x=Par[x];
	y=Par[y];
	SkipPoint:;
	if(Toggle[x]){
		return Val[x];
	}
	for(int i=19;i>=0;i--){
		if(!Toggle[Ancestor[x][i]]){
			x=Ancestor[x][i];
		}
	}
	x=Par[x];
	if(Toggle[x]&&x!=-1){
		return Val[x];
	}
	return -1;
	*/
	while(Depth[x]>Depth[y]){
		x=Par[x];
	}
	while(x!=y){
		x=Par[x];
		y=Par[y];
	}
	while(!Toggle[x]&&x!=-1){
		x=Par[x];
	}
	if(x!=-1){
		return Val[x];
	}else{
		return -1;
	}
}
/*
int q;
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	freopen("swap_12_2.in","r",stdin);
	cin>>n>>m;
	vector <int> U,V,W;
	for(int i=1;i<=m;i++){
		cin>>a>>b>>c;
		U.push_back(a);
		V.push_back(b);
		W.push_back(c);
	}
	init(n,m,U,V,W);
	deque <int> dq;
	cin>>q;
	for(int i=1;i<=q;i++){
		cin>>a>>b;
		dq.push_back(getMinimumFuelCapacity(a,b));
		//cout<<dq.back()<<"\n";
	}
	freopen("swap_12_2.out","r",stdin);
	int cur, score=0;
	for(int i=1;i<=q;i++){
		cin>>cur;
		if(cur==dq.front()){
			score++;
		}else{
			cout<<dq.front()<<" "<<cur<<" "<<Val[RootID]<<"\n";
		}
		dq.pop_front();
	}
	cout<<score<<" "<<q<<" ";
	int maxdepth=0;
	for(int i=0;i<=n+m+5;i++){
		maxdepth=max(maxdepth,Depth[i]);
	}
	//cout<<maxdepth;
}
*/
/*
5 6
0 1 4
0 2 4
1 2 1
1 3 2
1 4 10
2 3 3
*/

Compilation message

swap.cpp: In function 'void init(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
swap.cpp:97:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |   for(int i=0;i<adj[Cur].size();i++){
      |               ~^~~~~~~~~~~~~~~~

Subtask #1
0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14684 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 2 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 62 ms 45360 KB Output is correct
10 Correct 82 ms 50724 KB Output is correct
11 Correct 86 ms 50488 KB Output is correct
12 Correct 87 ms 51744 KB Output is correct
13 Correct 80 ms 53792 KB Output is correct
14 Correct 69 ms 43720 KB Output is correct
15 Correct 137 ms 55212 KB Output is correct
16 Correct 119 ms 52664 KB Output is correct
17 Correct 124 ms 53156 KB Output is correct
18 Correct 117 ms 53956 KB Output is correct
19 Correct 61 ms 23360 KB Output is correct
20 Correct 161 ms 56876 KB Output is correct
21 Correct 150 ms 53408 KB Output is correct
22 Correct 159 ms 54664 KB Output is correct
23 Execution timed out 2033 ms 53928 KB Time limit exceeded
24 Halted 0 ms 0 KB -

Subtask #2
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14684 KB Output is correct
3 Execution timed out 2027 ms 52408 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14684 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 2 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Incorrect 2 ms 14684 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 2 ms 14684 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14684 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 2 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 62 ms 45360 KB Output is correct
10 Correct 82 ms 50724 KB Output is correct
11 Correct 86 ms 50488 KB Output is correct
12 Correct 87 ms 51744 KB Output is correct
13 Correct 80 ms 53792 KB Output is correct
14 Correct 69 ms 43720 KB Output is correct
15 Correct 137 ms 55212 KB Output is correct
16 Correct 119 ms 52664 KB Output is correct
17 Correct 124 ms 53156 KB Output is correct
18 Correct 117 ms 53956 KB Output is correct
19 Execution timed out 2027 ms 52408 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 2 ms 14684 KB Output isn't correct
2 Halted 0 ms 0 KB -