oj.uz

Submission #1090055

# Submission time Handle Problem Language Result Execution time Memory
1090055 2024-09-17T16:28:40 Z raczek Village (BOI20_village) C++17
100 / 100
 94 ms 28044 KB 
#include<bits/stdc++.h>
using namespace std;
#ifdef DEBUG 
auto& operator <<(auto& o, pair<auto, auto> p) {return o<<"{"<<p.first<<", "<<p.second<<"}";}
auto& operator <<(auto& o, auto x) {o<<"{"; for(auto v : x) o<<v<<", "; return o<<"}";}
#define debug(X) cerr<<"["#X"]: "<<X<<endl;
#else
#define debug(X) {}
#endif
#define int long long
vector<int> MinSolve(vector<vector<int> > graph)
{
	int n = graph.size();
	vector<int> result(n+1);
	for(int i=0;i<n+1;i++) result[i] = i;
	vector<int> par(n+1);
	vector<int> deg(n+1);
	queue<int> q;
	function<void(int, int)> dfs = [&](int a, int fat)
	{
		par[a] = fat;
		for(auto v : graph[a])
			if(fat != v)
				dfs(v, a);
		deg[a] = graph[a].size();
		if(a != 1 && graph[a].size() == 1) q.push(a);
	};
	dfs(1, -1);
	while(!q.empty())
	{
		int a = q.front();
		q.pop();
		if(a == 1) continue;
		if(result[a] == a)
			swap(result[a], result[par[a]]), result[0]+=2;
		deg[par[a]]--;
		if(deg[par[a]] == 1) q.push(par[a]);
	}
	if(result[1] == 1)
	{
		result[0] += 2;
		swap(result[graph[1][0]], result[1]);
	}
	return result;
}
vector<int> MaxSolve(vector<vector<int> > graph)
{
	int n = graph.size()-1;
	vector<int> Sz(n+1);
	vector<int> result(n+1);
	function<void(int, int)> getSz = [&](int a, int par)
	{
		Sz[a] = 1;
		for(auto v : graph[a])
			if(v != par)
			{
				getSz(v, a);
				Sz[a] += Sz[v];
				result[0] += Sz[v] * 2;
			}
	};
	getSz(1, -1);
	debug(Sz);
	debug(n/2);
	function<int(int, int)> getCtr = [&](int a, int par)
	{
		debug(a);
		for(auto v : graph[a])
			if(v != par)
				if(Sz[v] > n/2)
					return getCtr(v, a);
		return a;
	};
	int ctr = getCtr(1, -1);
	debug(ctr);
	result[0] = 0;
	getSz(ctr, -1);
	vector<vector<int> > grp;
	function<void(int, int)> dfs = [&](int a, int par)
	{
		grp.back().push_back(a);
		for(auto v : graph[a])
			if(v != par)
				dfs(v, a);
	};
	for(auto v : graph[ctr])
	{
		grp.push_back({});
		dfs(v, ctr);
	}
	//	debug(grp);
	grp.push_back({ctr});
	sort(grp.begin(), grp.end(),[&](const vector<int>& v1,const vector<int>& v2){return v1.size()>v2.size();});
	//	debug(grp);
	assert(grp[0].size() <= n/2);
	//	for(auto v : grp) cerr<<v.size()<<" ";
	//	cout<<endl;
	vector<int> pot = grp[0];
	for(int i=1;i<=n;i++) result[i] = i;
	for(int i=0;i<grp.size()-1;i++)
	{
		for(int j=i+1;j<grp.size() && grp[i].size() > 0;j++)
		{
			while(grp[i].size() > 0 && grp[j].size() > 0)
			{
				result[grp[i].back()] = grp[j].back();
				result[grp[j].back()] = grp[i].back();
				grp[i].pop_back();
				grp[j].pop_back();
			}
		}
		//		cout<<grp[i].size()<<" ";
	}
	int x = 0;
	for(int i=0;i<grp.size();i++) if(grp[i].size() > 0) x = i;
	for(auto v : grp[x])
	{
		swap(result[v], result[pot.back()]);
		pot.pop_back();
	}
	for(int i=1;i<=n;i++) assert(result[i] != i);
	return result;
}
int32_t main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	int n;
	cin>>n;
	vector<vector<int> > graph(n+1);
	for(int i=0;i<n-1;i++)
	{
		int a, b;
		cin>>a>>b;
		graph[a].push_back(b);
		graph[b].push_back(a);
	}
	vector<int> minn = MinSolve(graph);
	vector<int> maxx = MaxSolve(graph);
	cout<<minn[0]<<" "<<maxx[0]<<"\n";
	for(int i=1;i<=n;i++) cout<<minn[i]<<" ";
	cout<<"\n";
	for(int i=1;i<=n;i++) cout<<maxx[i]<<" ";
}

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 Village.cpp:1:
Village.cpp: In function 'std::vector<long long int> MaxSolve(std::vector<std::vector<long long int> >)':
Village.cpp:95:23: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   95 |  assert(grp[0].size() <= n/2);
      |         ~~~~~~~~~~~~~~^~~~~~
Village.cpp:100:15: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  100 |  for(int i=0;i<grp.size()-1;i++)
      |              ~^~~~~~~~~~~~~
Village.cpp:102:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |   for(int j=i+1;j<grp.size() && grp[i].size() > 0;j++)
      |                 ~^~~~~~~~~~~
Village.cpp:115:15: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  115 |  for(int i=0;i<grp.size();i++) if(grp[i].size() > 0) x = i;
      |              ~^~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 352 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 352 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 352 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 352 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 452 KB Output is correct
17 Correct 1 ms 348 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 624 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 460 KB Output is correct
30 Correct 1 ms 604 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 352 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 352 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 352 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 352 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 452 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 624 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 604 KB Output is correct
35 Correct 1 ms 856 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 600 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 460 KB Output is correct
47 Correct 1 ms 604 KB Output is correct
48 Correct 60 ms 16644 KB Output is correct
49 Correct 61 ms 18424 KB Output is correct
50 Correct 73 ms 18528 KB Output is correct
51 Correct 47 ms 14252 KB Output is correct
52 Correct 61 ms 17968 KB Output is correct
53 Correct 54 ms 16356 KB Output is correct
54 Correct 36 ms 13716 KB Output is correct
55 Correct 94 ms 28044 KB Output is correct
56 Correct 75 ms 23148 KB Output is correct
57 Correct 71 ms 20992 KB Output is correct
58 Correct 81 ms 19816 KB Output is correct
59 Correct 62 ms 18508 KB Output is correct
60 Correct 63 ms 22284 KB Output is correct
61 Correct 61 ms 19632 KB Output is correct
62 Correct 53 ms 19204 KB Output is correct
63 Correct 49 ms 18044 KB Output is correct
64 Correct 58 ms 19068 KB Output is correct
65 Correct 53 ms 19280 KB Output is correct
66 Correct 50 ms 17916 KB Output is correct
67 Correct 39 ms 14860 KB Output is correct
68 Correct 54 ms 16188 KB Output is correct
69 Correct 56 ms 19552 KB Output is correct
70 Correct 53 ms 18012 KB Output is correct
71 Correct 35 ms 13580 KB Output is correct
72 Correct 45 ms 15184 KB Output is correct
73 Correct 53 ms 19536 KB Output is correct
74 Correct 48 ms 17756 KB Output is correct
75 Correct 77 ms 18604 KB Output is correct
76 Correct 58 ms 18440 KB Output is correct
77 Correct 55 ms 18348 KB Output is correct
78 Correct 36 ms 12672 KB Output is correct
79 Correct 45 ms 14588 KB Output is correct
80 Correct 63 ms 18128 KB Output is correct
81 Correct 53 ms 18172 KB Output is correct
82 Correct 57 ms 18452 KB Output is correct