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답안 #1089671

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1089671 2024-09-16T21:04:05 Z raczek Village (BOI20_village) C++17
56 / 100
 75 ms 24628 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(),[&](const vector<int>& v1,const vector<int>& v2){return v1.size()>v2.size();});
	grp.push_back({ctr});
//	debug(grp);
	assert(grp[0].size() <= n/2);
//	for(auto v : grp) cerr<<v.size()<<" ";
//	cout<<endl;
	int pot = grp[0].back();
	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();
			}
		}
	}
	int k = 0;
	for(auto v : grp) k += v.size();
//	assert(k <= 1);
//	assert(grp.back().size() == 0);
	if(grp.back().size() > 0) swap(result[pot], result[grp.back()[0]]);
	//for(int i=1;i<=n;i++) assert(result[i] != i);
	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

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<int> MaxSolve(std::vector<std::vector<int> >)':
Village.cpp:94:23: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   94 |  assert(grp[0].size() <= n/2);
      |         ~~~~~~~~~~~~~~^~~~~~
Village.cpp:99:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |  for(int i=0;i<grp.size()-1;i++)
      |              ~^~~~~~~~~~~~~
Village.cpp:101:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |   for(int j=i+1;j<grp.size() && grp[i].size() > 0;j++)
      |                 ~^~~~~~~~~~~

Subtask #1
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 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 348 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 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

Subtask #2
19.0 / 38.0

# 결과 실행 시간 메모리 Grader output
1 Partially correct 0 ms 344 KB Partially correct
2 Correct 1 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 600 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Partially correct 1 ms 348 KB Partially correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 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 464 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 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 604 KB Output is correct
23 Correct 1 ms 344 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 604 KB Partially correct
27 Correct 0 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 604 KB Output is correct

Subtask #3
25.0 / 50.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 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 348 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 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 Partially correct 0 ms 344 KB Partially correct
19 Correct 1 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 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Partially correct 1 ms 348 KB Partially correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 604 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 464 KB Output is correct
34 Correct 1 ms 604 KB Output is correct
35 Correct 1 ms 604 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 604 KB Output is correct
40 Correct 1 ms 344 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 604 KB Partially correct
44 Correct 0 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 604 KB Output is correct
48 Partially correct 58 ms 14320 KB Partially correct
49 Correct 63 ms 15580 KB Output is correct
50 Correct 58 ms 15604 KB Output is correct
51 Correct 58 ms 12244 KB Output is correct
52 Correct 62 ms 15352 KB Output is correct
53 Partially correct 52 ms 13940 KB Partially correct
54 Correct 44 ms 12100 KB Output is correct
55 Partially correct 75 ms 24628 KB Partially correct
56 Partially correct 74 ms 19992 KB Partially correct
57 Partially correct 63 ms 18296 KB Partially correct
58 Correct 63 ms 16912 KB Output is correct
59 Partially correct 56 ms 15640 KB Partially correct
60 Correct 64 ms 20140 KB Output is correct
61 Correct 50 ms 17368 KB Output is correct
62 Correct 48 ms 16412 KB Output is correct
63 Correct 45 ms 15576 KB Output is correct
64 Correct 53 ms 16092 KB Output is correct
65 Correct 49 ms 16544 KB Output is correct
66 Correct 48 ms 15400 KB Output is correct
67 Correct 36 ms 12704 KB Output is correct
68 Correct 42 ms 13816 KB Output is correct
69 Correct 50 ms 16436 KB Output is correct
70 Correct 46 ms 15516 KB Output is correct
71 Correct 33 ms 11424 KB Output is correct
72 Correct 38 ms 13032 KB Output is correct
73 Correct 49 ms 16524 KB Output is correct
74 Correct 44 ms 14976 KB Output is correct
75 Partially correct 57 ms 15472 KB Partially correct
76 Partially correct 54 ms 15516 KB Partially correct
77 Partially correct 48 ms 15336 KB Partially correct
78 Partially correct 41 ms 10884 KB Partially correct
79 Partially correct 39 ms 12420 KB Partially correct
80 Partially correct 65 ms 15312 KB Partially correct
81 Partially correct 59 ms 15324 KB Partially correct
82 Partially correct 47 ms 15924 KB Partially correct