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답안 #974055

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
974055 2024-05-02T16:42:39 Z happy_node Reconstruction Project (JOI22_reconstruction) C++17
42 / 100
 5000 ms 418420 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int MX=505;

int N,M,Q;

struct DSU {
	int par[MX],sz[MX];

	int fd(int v) {
		return par[v]==v?v:par[v]=fd(par[v]);
	}

	bool merge(int u, int v) {
		u=fd(u),v=fd(v);
		if(u==v) return false;
		if(sz[u]>sz[v]) swap(u,v);
		par[u]=v;
		sz[v]+=sz[u];
		return true;
	}

	void reset() {
		for(int i=1;i<=N;i++) par[i]=i,sz[i]=1;
	}
} ds;

set<pair<int,int>> adj[MX];

const int inf=2e9;

array<int,3> bfs(int S, int T) {
	queue<int> q;
	q.push(S);
	
	vector<array<int,3>> dist(N+1,{-1,-1,-1});
	dist[S]={inf,inf,inf};

	while(!q.empty()) {
		auto v=q.front(); q.pop();
		for(auto [u,w]:adj[v]) {
			if(dist[u][0]!=-1) continue;

			array<int,3> cur={w,min(u,v),max(u,v)};
			dist[u]=min(cur,dist[v]);
			q.push(u);
		}
	}

	return dist[T];
}

array<int,3> BFS(int S, int T) {
	queue<int> q;
	q.push(S);
	
	vector<array<int,3>> dist(N+1,{-1,-1,-1});
	dist[S]={0,0,0};

	while(!q.empty()) {
		auto v=q.front(); q.pop();
		for(auto [u,w]:adj[v]) {
			if(dist[u][0]!=-1) continue;

			array<int,3> cur={w,min(u,v),max(u,v)};
			dist[u]=max(cur,dist[v]);
			q.push(u);
		}
	}

	return dist[T];
}

array<int,3> e[100000+5];
vector<int> PF[100000+5], SF[100000+5];

set<array<int,4>> E;
map<array<int,3>, int> id;

int main() {
	cin.tie(0); ios_base::sync_with_stdio(0);

	cin>>N>>M;

	vector<array<int,3>> edges;

	for(int i=0;i<M;i++) {
		int u,v,w;
		cin>>u>>v>>w;
		e[i]={w,u,v};
		id[e[i]]=i;
		edges.push_back({w,u,v});
	}		

	sort(edges.begin(),edges.end());

	int i=0;
	for(auto [w,u,v]:edges) {
		assert(E.size()<N);
		auto [ww,uu,vv]=bfs(u,v);
		if(ww!=-1) {
			adj[uu].erase({vv,ww});
			adj[vv].erase({uu,ww});
			E.erase({ww,uu,vv,id[{ww,uu,vv}]});
		}
		adj[u].insert({v,w});
		adj[v].insert({u,w});
		E.insert({w,u,v,id[{w,u,v}]});
		for(auto [ww,uu,vv,id]:E) {
			PF[i].push_back(id);
		}
		reverse(PF[i].begin(),PF[i].end());
		i++;
	}

	reverse(edges.begin(),edges.end());
	E.clear();
	for(int i=1;i<=N;i++) adj[i].clear();

	i=M-1;
	for(auto [w,u,v]:edges) {
		assert(E.size()<N);
		auto [ww,uu,vv]=BFS(u,v);
		if(ww!=-1) {
			adj[uu].erase({vv,ww});
			adj[vv].erase({uu,ww});
			E.erase({ww,uu,vv,id[{ww,uu,vv}]});
		}
		adj[u].insert({v,w});
		adj[v].insert({u,w});
		E.insert({w,u,v,id[{w,u,v}]});
		for(auto [ww,uu,vv,id]:E) {
			SF[i].push_back(id);
		}
		i--;
	}

	reverse(edges.begin(),edges.end());

	cin>>Q;

	int p=-1;
	for(int i=0;i<Q;i++) {
		int x;
		cin>>x;
		
		while(p+1<edges.size() && x>=edges[p+1][0]) {
			p++;
		}

		ds.reset();
		ll res=0;
		if(p==(int)edges.size()-1) {
			// PF back()
			for(auto id:PF[p]) {
				auto [w,u,v]=e[id];
				res+=x-w;
			}
		} else if(p==-1) {
			// SF[0]
			for(auto id:SF[0]) {
				auto [w,u,v]=e[id];
				res+=w-x;
			}
		} else {
			// PF[p], Sf[p+1]
			int i=0,j=0; // 2 pointers
			while(i<PF[p].size()&&j<SF[p+1].size()) {
				int id=PF[p][i];
				auto [w,u,v]=e[id];
				int ID=SF[p+1][j];
				auto [ww,uu,vv]=e[ID];

				if(x-w<ww-x) {
					if(ds.merge(u,v))
						res+=x-w;
					i++;
				} else {
					if(ds.merge(uu,vv))
						res+=ww-x;
					j++;
				}
			}
			while(i<PF[p].size()) {
				int id=PF[p][i];
				auto [w,u,v]=e[id];
				if(ds.merge(u,v))
					res+=x-w;
				i++;
			}

			while(j<SF[p+1].size()) {
				int id=SF[p+1][j];
				auto [w,u,v]=e[id];
				if(ds.merge(u,v))
					res+=w-x;
				j++;
			}
		}

		cout<<res<<'\n';
	}
}

Compilation message

In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from reconstruction.cpp:1:
reconstruction.cpp: In function 'int main()':
reconstruction.cpp:101:18: warning: comparison of integer expressions of different signedness: 'std::set<std::array<int, 4> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  101 |   assert(E.size()<N);
      |          ~~~~~~~~^~
reconstruction.cpp:124:18: warning: comparison of integer expressions of different signedness: 'std::set<std::array<int, 4> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  124 |   assert(E.size()<N);
      |          ~~~~~~~~^~
reconstruction.cpp:149:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |   while(p+1<edges.size() && x>=edges[p+1][0]) {
      |         ~~~^~~~~~~~~~~~~
reconstruction.cpp:170:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |    while(i<PF[p].size()&&j<SF[p+1].size()) {
      |          ~^~~~~~~~~~~~~
reconstruction.cpp:170:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |    while(i<PF[p].size()&&j<SF[p+1].size()) {
      |                          ~^~~~~~~~~~~~~~~
reconstruction.cpp:186:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  186 |    while(i<PF[p].size()) {
      |          ~^~~~~~~~~~~~~
reconstruction.cpp:194:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  194 |    while(j<SF[p+1].size()) {
      |          ~^~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4952 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4952 KB Output is correct
14 Correct 1 ms 4952 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 4 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct

Subtask #2
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4952 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4952 KB Output is correct
14 Correct 1 ms 4952 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 4 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 4094 ms 417308 KB Output is correct
21 Correct 2579 ms 416688 KB Output is correct
22 Correct 3403 ms 416860 KB Output is correct
23 Correct 3587 ms 417180 KB Output is correct
24 Correct 3882 ms 416832 KB Output is correct
25 Correct 4013 ms 417096 KB Output is correct
26 Correct 4093 ms 416912 KB Output is correct
27 Correct 3986 ms 417024 KB Output is correct
28 Correct 4145 ms 417224 KB Output is correct
29 Correct 3062 ms 414256 KB Output is correct
30 Correct 3988 ms 417080 KB Output is correct
31 Correct 3978 ms 416932 KB Output is correct
32 Correct 3980 ms 417120 KB Output is correct
33 Correct 3960 ms 417104 KB Output is correct
34 Correct 2410 ms 387172 KB Output is correct
35 Correct 4059 ms 416844 KB Output is correct

Subtask #3
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4952 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Execution timed out 5090 ms 418420 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #4
0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4952 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4952 KB Output is correct
14 Correct 1 ms 4952 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 4 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 1 ms 4956 KB Output is correct
20 Execution timed out 5086 ms 19756 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #5
35.0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4952 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4952 KB Output is correct
14 Correct 1 ms 4952 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 4 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 4094 ms 417308 KB Output is correct
21 Correct 2579 ms 416688 KB Output is correct
22 Correct 3403 ms 416860 KB Output is correct
23 Correct 3587 ms 417180 KB Output is correct
24 Correct 3882 ms 416832 KB Output is correct
25 Correct 4013 ms 417096 KB Output is correct
26 Correct 4093 ms 416912 KB Output is correct
27 Correct 3986 ms 417024 KB Output is correct
28 Correct 4145 ms 417224 KB Output is correct
29 Correct 3062 ms 414256 KB Output is correct
30 Correct 3988 ms 417080 KB Output is correct
31 Correct 3978 ms 416932 KB Output is correct
32 Correct 3980 ms 417120 KB Output is correct
33 Correct 3960 ms 417104 KB Output is correct
34 Correct 2410 ms 387172 KB Output is correct
35 Correct 4059 ms 416844 KB Output is correct
36 Correct 4460 ms 417084 KB Output is correct
37 Correct 3020 ms 417348 KB Output is correct
38 Correct 3808 ms 417520 KB Output is correct
39 Correct 4115 ms 417092 KB Output is correct
40 Correct 4301 ms 417400 KB Output is correct
41 Correct 4411 ms 417400 KB Output is correct
42 Correct 4371 ms 417620 KB Output is correct
43 Correct 4437 ms 417528 KB Output is correct
44 Correct 4420 ms 417100 KB Output is correct
45 Correct 3205 ms 414140 KB Output is correct
46 Correct 4434 ms 417572 KB Output is correct
47 Correct 4543 ms 417184 KB Output is correct
48 Correct 4430 ms 417524 KB Output is correct
49 Correct 4433 ms 417332 KB Output is correct
50 Correct 2406 ms 387376 KB Output is correct
51 Correct 4196 ms 417768 KB Output is correct

Subtask #6
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4952 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4952 KB Output is correct
14 Correct 1 ms 4952 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 4 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 4094 ms 417308 KB Output is correct
21 Correct 2579 ms 416688 KB Output is correct
22 Correct 3403 ms 416860 KB Output is correct
23 Correct 3587 ms 417180 KB Output is correct
24 Correct 3882 ms 416832 KB Output is correct
25 Correct 4013 ms 417096 KB Output is correct
26 Correct 4093 ms 416912 KB Output is correct
27 Correct 3986 ms 417024 KB Output is correct
28 Correct 4145 ms 417224 KB Output is correct
29 Correct 3062 ms 414256 KB Output is correct
30 Correct 3988 ms 417080 KB Output is correct
31 Correct 3978 ms 416932 KB Output is correct
32 Correct 3980 ms 417120 KB Output is correct
33 Correct 3960 ms 417104 KB Output is correct
34 Correct 2410 ms 387172 KB Output is correct
35 Correct 4059 ms 416844 KB Output is correct
36 Correct 1 ms 4952 KB Output is correct
37 Correct 1 ms 4956 KB Output is correct
38 Correct 1 ms 4956 KB Output is correct
39 Execution timed out 5090 ms 418420 KB Time limit exceeded
40 Halted 0 ms 0 KB -