oj.uz

Submission #974043

# Submission time Handle Problem Language Result Execution time Memory
974043 2024-05-02T16:24:26 Z happy_node Reconstruction Project (JOI22_reconstruction) C++17
3 / 100
 5000 ms 1048576 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];

set<array<int,3>> E;

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]={(int)1e9,0,0};

	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,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,u,v};
			dist[u]=max(cur,dist[v]);
			q.push(u);
		}
	}

	return dist[T];
}

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

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;
		edges.push_back({w,u,v});
	}		

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

	int i=0;
	for(auto [w,u,v]:edges) {
		auto [ww,uu,vv]=bfs(u,v);
		if(ww!=-1) {
			adj[uu].erase({vv,ww});
			adj[vv].erase({uu,ww});
			E.erase({ww,min(uu,vv),max(uu,vv)});
		}
		adj[u].insert({v,w});
		adj[v].insert({u,w});
		E.insert({w,min(u,v),max(u,v)});
		for(auto [ww,uu,vv]:E) {
			PF[i].push_back({ww,uu,vv});
		}
		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) {
		auto [ww,uu,vv]=BFS(u,v);
		if(ww!=-1) {
			adj[uu].erase({vv,ww});
			adj[vv].erase({uu,ww});
			E.erase({ww,min(uu,vv),max(uu,vv)});
		}
		adj[u].insert({v,w});
		adj[v].insert({u,w});
		E.insert({w,min(u,v),max(u,v)});
		for(auto [ww,uu,vv]:E) {
			SF[i].push_back({ww,uu,vv});
		}
		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 [w,u,v]:PF[p]) {
				res+=x-w;
			}
		} else if(p==-1) {
			// SF[0]
			for(auto [w,u,v]:SF[0]) {
				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()) {
				auto [w,u,v]=PF[p][i];
				auto [ww,uu,vv]=SF[p+1][j];

				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()) {
				auto [w,u,v]=PF[p][i];
				if(ds.merge(u,v))
					res+=x-w;
				i++;
			}

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

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

Compilation message

reconstruction.cpp: In function 'int main()':
reconstruction.cpp:141:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  141 |   while(p+1<edges.size() && x>=edges[p+1][0]) {
      |         ~~~^~~~~~~~~~~~~
reconstruction.cpp:160:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  160 |    while(i<PF[p].size()&&j<SF[p+1].size()) {
      |          ~^~~~~~~~~~~~~
reconstruction.cpp:160:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  160 |    while(i<PF[p].size()&&j<SF[p+1].size()) {
      |                          ~^~~~~~~~~~~~~~~
reconstruction.cpp:174:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  174 |    while(i<PF[p].size()) {
      |          ~^~~~~~~~~~~~~
reconstruction.cpp:181:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  181 |    while(j<SF[p+1].size()) {
      |          ~^~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 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 2 ms 4956 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 2 ms 4952 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4952 KB Output is correct

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 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 2 ms 4956 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 2 ms 4952 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4952 KB Output is correct
19 Correct 1 ms 4952 KB Output is correct
20 Runtime error 3556 ms 1048576 KB Execution killed with signal 9
21 Halted 0 ms 0 KB -

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Runtime error 2657 ms 1048576 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #4
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 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 2 ms 4956 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 2 ms 4952 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4952 KB Output is correct
19 Correct 1 ms 4956 KB Output is correct
20 Correct 4285 ms 37092 KB Output is correct
21 Correct 4234 ms 37096 KB Output is correct
22 Correct 4295 ms 36996 KB Output is correct
23 Correct 4158 ms 37096 KB Output is correct
24 Correct 4225 ms 37136 KB Output is correct
25 Correct 4258 ms 37320 KB Output is correct
26 Correct 4182 ms 37200 KB Output is correct
27 Correct 3418 ms 37100 KB Output is correct
28 Correct 4277 ms 37108 KB Output is correct
29 Correct 4190 ms 37088 KB Output is correct
30 Correct 4148 ms 37496 KB Output is correct
31 Correct 4271 ms 36984 KB Output is correct
32 Correct 819 ms 40516 KB Output is correct
33 Execution timed out 5005 ms 36624 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 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 2 ms 4956 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 2 ms 4952 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4952 KB Output is correct
19 Correct 1 ms 4952 KB Output is correct
20 Runtime error 3556 ms 1048576 KB Execution killed with signal 9
21 Halted 0 ms 0 KB -

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 2 ms 5040 KB Output is correct
5 Correct 2 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 2 ms 4956 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 1 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 2 ms 4952 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4952 KB Output is correct
19 Correct 1 ms 4952 KB Output is correct
20 Runtime error 3556 ms 1048576 KB Execution killed with signal 9
21 Halted 0 ms 0 KB -