Submission #1020758

# Submission time Handle Problem Language Result Execution time Memory
1020758 2024-07-12T09:27:47 Z Unforgettablepl Reconstruction Project (JOI22_reconstruction) C++17
42 / 100
5000 ms 5816 KB
#pragma GCC optimize("Ofast","unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int INF = 1e15;

struct UFDS{
	vector<int> p,siz;
	UFDS(int n):p(n+1),siz(n+1,1){iota(p.begin(),p.end(),0);}
	int findRoot(int x){
		return p[x]==x ? x : p[x]=findRoot(p[x]);
	}
	bool unite(int a,int b){
		a = findRoot(a);
		b = findRoot(b);
		if(a==b)return false;
		if(siz[a]<siz[b])swap(a,b);
		siz[a]+=siz[b];
		p[b]=a;
		return true;
	}
};

int32_t main(){
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	int n,m;
	cin >> n >> m;
	vector<pair<int,pair<int,int>>> edges(m);
	for(auto&[a,b]:edges)cin>>b.first>>b.second>>a;
	sort(edges.begin(),edges.end());
	vector<set<pair<int,int>>> adj;
	vector<int> replaces_front(m,-1);
	{
		// Calculation from the front
		adj = vector<set<pair<int,int>>>(n+1);
		int tar;
		function<pair<bool,int>(int,int)> dfs = [&](int x,int p){
			if(x==tar)return make_pair(true,(int)1e15);
			for(auto[v,i]:adj[x])if(v!=p){
				auto res = dfs(v,x);
				if(res.first)return make_pair(true,min(res.second,i));
			}
			return make_pair(false,(int)0);
		};
		for(int i=0;i<m;i++){
			tar = edges[i].second.second;
			auto res = dfs(edges[i].second.first,-1);
			if(res.first){
				adj[edges[res.second].second.first].erase({edges[res.second].second.second,res.second});
				adj[edges[res.second].second.second].erase({edges[res.second].second.first,res.second});
				replaces_front[i] = res.second;
			}
			adj[edges[i].second.first].insert({edges[i].second.second,i});
			adj[edges[i].second.second].insert({edges[i].second.first,i});
		}
	}
	vector<int> replaces_back(m,-1);
	{
		// Calculation from the back
		adj = vector<set<pair<int,int>>>(n+1);
		int tar;
		function<pair<bool,int>(int,int)> dfs = [&](int x,int p){
			if(x==tar)return make_pair(true,(int)-1);
			for(auto[v,i]:adj[x])if(v!=p){
				auto res = dfs(v,x);
				if(res.first)return make_pair(true,max(res.second,i));
			}
			return make_pair(false,(int)0);
		};
		for(int i=m-1;i>=0;i--){
			tar = edges[i].second.second;
			auto res = dfs(edges[i].second.first,-1);
			if(res.first){
				adj[edges[res.second].second.first].erase({edges[res.second].second.second,res.second});
				adj[edges[res.second].second.second].erase({edges[res.second].second.first,res.second});
				replaces_back[i] = res.second;
			}
			adj[edges[i].second.first].insert({edges[i].second.second,i});
			adj[edges[i].second.second].insert({edges[i].second.first,i});
		}
	}
	set<int> curr_left;
	set<int> curr_right;
	for(auto&i:adj)for(auto[a,b]:i)curr_right.insert(b);
	auto solve = [&](int x){
		vector<pair<int,int>> curredges;
		for(int i:curr_left){
			curredges.emplace_back(abs(edges[i].first-x),i);
		}
		for(int i:curr_right){
			curredges.emplace_back(abs(edges[i].first-x),i);
		}
		sort(curredges.begin(),curredges.end());
		int ans = 0;
		UFDS dsu(n);
		for(auto[c,i]:curredges){
			if(dsu.unite(edges[i].second.first,edges[i].second.second))ans+=c;
		}
		return ans;
	};
	int iter = 0;
	int q;
	cin >> q;
	for(int i=1;i<=q;i++){
		int query;
		cin >> query;
		while(iter!=m and edges[iter].first<query){
			curr_right.erase(iter);
			if(replaces_back[iter]!=-1){
				curr_right.insert(replaces_back[iter]);
			}
			curr_left.insert(iter);
			if(replaces_front[iter]!=-1){
				curr_left.erase(replaces_front[iter]);
			}
			iter++;
		}
		cout << solve(query) << '\n';
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 828 ms 4348 KB Output is correct
21 Correct 403 ms 4436 KB Output is correct
22 Correct 615 ms 4440 KB Output is correct
23 Correct 623 ms 4692 KB Output is correct
24 Correct 715 ms 4432 KB Output is correct
25 Correct 804 ms 4452 KB Output is correct
26 Correct 841 ms 4344 KB Output is correct
27 Correct 839 ms 4432 KB Output is correct
28 Correct 857 ms 4476 KB Output is correct
29 Correct 640 ms 4528 KB Output is correct
30 Correct 825 ms 4428 KB Output is correct
31 Correct 831 ms 4440 KB Output is correct
32 Correct 840 ms 4436 KB Output is correct
33 Correct 841 ms 4436 KB Output is correct
34 Correct 392 ms 4344 KB Output is correct
35 Correct 813 ms 4432 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Execution timed out 5089 ms 5816 KB Time limit exceeded
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Execution timed out 5082 ms 5072 KB Time limit exceeded
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 828 ms 4348 KB Output is correct
21 Correct 403 ms 4436 KB Output is correct
22 Correct 615 ms 4440 KB Output is correct
23 Correct 623 ms 4692 KB Output is correct
24 Correct 715 ms 4432 KB Output is correct
25 Correct 804 ms 4452 KB Output is correct
26 Correct 841 ms 4344 KB Output is correct
27 Correct 839 ms 4432 KB Output is correct
28 Correct 857 ms 4476 KB Output is correct
29 Correct 640 ms 4528 KB Output is correct
30 Correct 825 ms 4428 KB Output is correct
31 Correct 831 ms 4440 KB Output is correct
32 Correct 840 ms 4436 KB Output is correct
33 Correct 841 ms 4436 KB Output is correct
34 Correct 392 ms 4344 KB Output is correct
35 Correct 813 ms 4432 KB Output is correct
36 Correct 1791 ms 4728 KB Output is correct
37 Correct 1193 ms 4688 KB Output is correct
38 Correct 1527 ms 4688 KB Output is correct
39 Correct 1674 ms 4688 KB Output is correct
40 Correct 1678 ms 4692 KB Output is correct
41 Correct 1747 ms 4688 KB Output is correct
42 Correct 1736 ms 4648 KB Output is correct
43 Correct 1787 ms 4684 KB Output is correct
44 Correct 1390 ms 4688 KB Output is correct
45 Correct 1051 ms 4688 KB Output is correct
46 Correct 1738 ms 4696 KB Output is correct
47 Correct 1842 ms 4692 KB Output is correct
48 Correct 1841 ms 4692 KB Output is correct
49 Correct 1717 ms 4588 KB Output is correct
50 Correct 721 ms 4688 KB Output is correct
51 Correct 1376 ms 4692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 828 ms 4348 KB Output is correct
21 Correct 403 ms 4436 KB Output is correct
22 Correct 615 ms 4440 KB Output is correct
23 Correct 623 ms 4692 KB Output is correct
24 Correct 715 ms 4432 KB Output is correct
25 Correct 804 ms 4452 KB Output is correct
26 Correct 841 ms 4344 KB Output is correct
27 Correct 839 ms 4432 KB Output is correct
28 Correct 857 ms 4476 KB Output is correct
29 Correct 640 ms 4528 KB Output is correct
30 Correct 825 ms 4428 KB Output is correct
31 Correct 831 ms 4440 KB Output is correct
32 Correct 840 ms 4436 KB Output is correct
33 Correct 841 ms 4436 KB Output is correct
34 Correct 392 ms 4344 KB Output is correct
35 Correct 813 ms 4432 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Execution timed out 5089 ms 5816 KB Time limit exceeded
40 Halted 0 ms 0 KB -