Submission #1089649

# Submission time Handle Problem Language Result Execution time Memory
1089649 2024-09-16T20:25:42 Z raczek Village (BOI20_village) C++17
56 / 100
105 ms 24956 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
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);
	sort(grp.begin(), grp.end(),[&](vector<int> v1,vector<int> v2){return v1.size()>v2.size();});
	grp.push_back({ctr});
	debug(grp);
	int pot = grp[0][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();j++)
			while(grp[i].size() && grp[j].size())
			{
				result[grp[i].back()] = grp[j].back();
				result[grp[j].back()] = grp[i].back();
				grp[i].pop_back();
				grp[j].pop_back();
			}
	}
	if(grp.back().size() > 0) swap(result[pot], result[grp.back()[0]]);
	return result;
}
int 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

Village.cpp: In function 'std::vector<int> MaxSolve(std::vector<std::vector<int> >)':
Village.cpp:96:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |  for(int i=0;i<grp.size()-1;i++)
      |              ~^~~~~~~~~~~~~
Village.cpp:98:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   98 |   for(int j=i+1;j<grp.size() && grp[i].size();j++)
      |                 ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 504 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Partially correct 1 ms 348 KB Partially correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Partially correct 1 ms 604 KB Partially correct
5 Partially correct 1 ms 604 KB Partially 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 Partially correct 1 ms 452 KB Partially correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 600 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Partially correct 1 ms 604 KB Partially correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Partially correct 1 ms 856 KB Partially correct
27 Correct 1 ms 348 KB Output is correct
28 Partially correct 1 ms 604 KB Partially correct
29 Partially correct 1 ms 604 KB Partially correct
30 Correct 1 ms 608 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 504 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Partially correct 1 ms 348 KB Partially correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Partially correct 1 ms 604 KB Partially correct
22 Partially correct 1 ms 604 KB Partially 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 Partially correct 1 ms 452 KB Partially correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 2 ms 600 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Partially correct 1 ms 604 KB Partially correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 600 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 1 ms 604 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 600 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Partially correct 1 ms 856 KB Partially correct
44 Correct 1 ms 348 KB Output is correct
45 Partially correct 1 ms 604 KB Partially correct
46 Partially correct 1 ms 604 KB Partially correct
47 Correct 1 ms 608 KB Output is correct
48 Partially correct 57 ms 14460 KB Partially correct
49 Correct 66 ms 15960 KB Output is correct
50 Correct 58 ms 15968 KB Output is correct
51 Correct 45 ms 12412 KB Output is correct
52 Correct 56 ms 15420 KB Output is correct
53 Partially correct 52 ms 14196 KB Partially correct
54 Correct 39 ms 12296 KB Output is correct
55 Partially correct 75 ms 24956 KB Partially correct
56 Partially correct 67 ms 19996 KB Partially correct
57 Partially correct 70 ms 18496 KB Partially correct
58 Correct 63 ms 17444 KB Output is correct
59 Partially correct 63 ms 15896 KB Partially correct
60 Correct 105 ms 20232 KB Output is correct
61 Correct 57 ms 17416 KB Output is correct
62 Correct 50 ms 16664 KB Output is correct
63 Correct 46 ms 15580 KB Output is correct
64 Correct 60 ms 16092 KB Output is correct
65 Correct 50 ms 16548 KB Output is correct
66 Correct 46 ms 15580 KB Output is correct
67 Correct 40 ms 12956 KB Output is correct
68 Correct 43 ms 13812 KB Output is correct
69 Correct 49 ms 16664 KB Output is correct
70 Correct 58 ms 15544 KB Output is correct
71 Correct 34 ms 11668 KB Output is correct
72 Correct 38 ms 13036 KB Output is correct
73 Correct 50 ms 16544 KB Output is correct
74 Correct 47 ms 15140 KB Output is correct
75 Partially correct 62 ms 15536 KB Partially correct
76 Partially correct 54 ms 15520 KB Partially correct
77 Partially correct 63 ms 15368 KB Partially correct
78 Partially correct 37 ms 10780 KB Partially correct
79 Partially correct 39 ms 12496 KB Partially correct
80 Partially correct 59 ms 15548 KB Partially correct
81 Partially correct 51 ms 15324 KB Partially correct
82 Partially correct 47 ms 16020 KB Partially correct