oj.uz

Submission #291903

# Submission time Handle Problem Language Result Execution time Memory
291903 2020-09-06T01:10:22 Z Berted Village (BOI20_village) C++14
100 / 100
 258 ms 19700 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#include <assert.h>
#define vi vector<int>
#define pub push_back
using namespace std;
 
int n;
vi adj[100001];
int res[100001], dp[100001][2];
int mtcW[100001];
int res2[100001], sub[100001];
long long k = 0;
vector<vi> ord;
 
void dfs(int u, int p)
{
	dp[u][0] = dp[u][1] = 0;
	int ret = 0;
	for (auto v : adj[u])
	{
		if (v != p)
		{
			dfs(v, u);
			ret += dp[v][1];
		}
	}
	dp[u][0] = ret;
	for (auto v : adj[u])
	{
		if (v != p)
		{
			assert(dp[v][1] >= dp[v][0]);
			dp[u][1] = max(dp[u][1], 1 + ret - dp[v][1] + dp[v][0]);
		}
	}
}
 
void bktrk(int u, int p, int s)
{
	if (dp[u][s] == 0 && res[u] == -1)
	{
		res[u] = res[p];
		res[p] = u;	
	}
	if (s)
	{
		int ret = 0, spc = -1;
		for (auto v : adj[u])
		{
			if (v != p) {ret += dp[v][1];}
		}
		for (auto v : adj[u])
		{
			if (v != p)
			{
				assert(dp[v][1] >= dp[v][0]);
				if (1 + ret - dp[v][1] + dp[v][0] == dp[u][1]) 
				{
					spc = v; 
					res[spc] = u;
					res[u] = spc;
					break;
				}
			}
		}
		for (auto v : adj[u])
		{
			if (v != p) bktrk(v, u, (spc != v));
		}
	}
	else
	{
		for (auto v : adj[u])
		{
			if (v != p) {bktrk(v, u, 1);}
		}
	}
}
 
void computeSub(int u, int p)
{
	sub[u] = 1;
	for (auto v : adj[u])
	{
		if (v != p)
		{
			computeSub(v, u);
			sub[u] += sub[v];
		}
	}
}
 
int findCentroid(int u, int p, int o)
{
	for (auto v : adj[u])
	{
		if (v != p && sub[v] > sub[o] / 2) return findCentroid(v, u, o);
	}
	return u;
}
 
void dfs2(int u, int p)
{
	sub[u] = 1;
	if (p == -1) ord.push_back(vi());
	ord.back().push_back(u);
	for (auto v : adj[u])
	{
		if (p == -1) ord.push_back(vi());
		if (v != p)
		{
			dfs2(v, u);
			sub[u] += sub[v];
			k += 2 * sub[v];
		}
	}
}
 
bool comp(const vi &a, const vi &b) {return a.size() < b.size();}
 
int main()
{
	cin >> n;
	for (int i = 0; i < n; i++) res[i] = -1;
	for (int i = 1; i < n; i++)
	{
		int u, v; cin >> u >> v;
		adj[u - 1].push_back(v - 1);
		adj[v - 1].push_back(u - 1);
	}
 
	dfs(0, -1);
	bktrk(0, -1, 1);
  
  	computeSub(0, -1);
	int c = findCentroid(0, -1, 0);
	dfs2(c, -1);
 
	sort(ord.begin(), ord.end(), comp);
 
	int j = ord.size() - 1, p = 0;
	for (int i = 0; i < ord.size(); i++)
	{
		for (int i2 = 0; i2 < ord[i].size(); i2++)
		{
			res2[ord[i][i2]] = ord[j][p++];
			if (p == ord[j].size()) {j = (j + 1) % ord.size(); p = 0;}
		}
	}
  
	cout << 2 * (dp[0][1] + n - 2 * dp[0][1]) << " " << k << "\n";
	
	for (int i = 0; i < n; i++)
	{
		cout << res[i] + 1;
		if (i + 1 < n) cout << " ";
	}
  	cout << "\n";
  	for (int i = 0; i < n; i++)
	{
		cout << res2[i] + 1;
		if (i + 1 < n) cout << " ";
	}
  	cout << "\n";
	return 0;
}

Compilation message

Village.cpp: In function 'int main()':
Village.cpp:144:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  144 |  for (int i = 0; i < ord.size(); i++)
      |                  ~~^~~~~~~~~~~~
Village.cpp:146:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  146 |   for (int i2 = 0; i2 < ord[i].size(); i2++)
      |                    ~~~^~~~~~~~~~~~~~~
Village.cpp:149:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |    if (p == ord[j].size()) {j = (j + 1) % ord.size(); p = 0;}
      |        ~~^~~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2728 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2732 KB Output is correct
13 Correct 2 ms 2724 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2708 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 3 ms 2688 KB Output is correct
3 Correct 3 ms 2688 KB Output is correct
4 Correct 4 ms 2816 KB Output is correct
5 Correct 3 ms 2816 KB Output is correct
6 Correct 4 ms 2816 KB Output is correct
7 Correct 3 ms 2816 KB Output is correct
8 Correct 3 ms 2816 KB Output is correct
9 Correct 3 ms 2816 KB Output is correct
10 Correct 3 ms 2816 KB Output is correct
11 Correct 4 ms 2836 KB Output is correct
12 Correct 4 ms 2816 KB Output is correct
13 Correct 3 ms 2816 KB Output is correct
14 Correct 3 ms 2816 KB Output is correct
15 Correct 4 ms 2816 KB Output is correct
16 Correct 4 ms 2816 KB Output is correct
17 Correct 3 ms 2816 KB Output is correct
18 Correct 3 ms 2816 KB Output is correct
19 Correct 3 ms 2816 KB Output is correct
20 Correct 4 ms 2816 KB Output is correct
21 Correct 4 ms 2728 KB Output is correct
22 Correct 3 ms 2816 KB Output is correct
23 Correct 3 ms 2816 KB Output is correct
24 Correct 3 ms 2816 KB Output is correct
25 Correct 3 ms 2688 KB Output is correct
26 Correct 3 ms 2816 KB Output is correct
27 Correct 3 ms 2688 KB Output is correct
28 Correct 3 ms 2816 KB Output is correct
29 Correct 4 ms 2816 KB Output is correct
30 Correct 3 ms 2816 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2728 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2728 KB Output is correct
4 Correct 2 ms 2688 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 2 ms 2688 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2732 KB Output is correct
13 Correct 2 ms 2724 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 3 ms 2708 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 3 ms 2688 KB Output is correct
20 Correct 3 ms 2688 KB Output is correct
21 Correct 4 ms 2816 KB Output is correct
22 Correct 3 ms 2816 KB Output is correct
23 Correct 4 ms 2816 KB Output is correct
24 Correct 3 ms 2816 KB Output is correct
25 Correct 3 ms 2816 KB Output is correct
26 Correct 3 ms 2816 KB Output is correct
27 Correct 3 ms 2816 KB Output is correct
28 Correct 4 ms 2836 KB Output is correct
29 Correct 4 ms 2816 KB Output is correct
30 Correct 3 ms 2816 KB Output is correct
31 Correct 3 ms 2816 KB Output is correct
32 Correct 4 ms 2816 KB Output is correct
33 Correct 4 ms 2816 KB Output is correct
34 Correct 3 ms 2816 KB Output is correct
35 Correct 3 ms 2816 KB Output is correct
36 Correct 3 ms 2816 KB Output is correct
37 Correct 4 ms 2816 KB Output is correct
38 Correct 4 ms 2728 KB Output is correct
39 Correct 3 ms 2816 KB Output is correct
40 Correct 3 ms 2816 KB Output is correct
41 Correct 3 ms 2816 KB Output is correct
42 Correct 3 ms 2688 KB Output is correct
43 Correct 3 ms 2816 KB Output is correct
44 Correct 3 ms 2688 KB Output is correct
45 Correct 3 ms 2816 KB Output is correct
46 Correct 4 ms 2816 KB Output is correct
47 Correct 3 ms 2816 KB Output is correct
48 Correct 184 ms 10076 KB Output is correct
49 Correct 217 ms 10744 KB Output is correct
50 Correct 211 ms 10828 KB Output is correct
51 Correct 157 ms 8952 KB Output is correct
52 Correct 207 ms 10696 KB Output is correct
53 Correct 179 ms 9992 KB Output is correct
54 Correct 105 ms 10852 KB Output is correct
55 Correct 258 ms 19700 KB Output is correct
56 Correct 231 ms 14836 KB Output is correct
57 Correct 227 ms 13476 KB Output is correct
58 Correct 225 ms 12148 KB Output is correct
59 Correct 203 ms 10868 KB Output is correct
60 Correct 182 ms 15836 KB Output is correct
61 Correct 185 ms 11972 KB Output is correct
62 Correct 186 ms 11148 KB Output is correct
63 Correct 171 ms 10760 KB Output is correct
64 Correct 198 ms 11112 KB Output is correct
65 Correct 190 ms 11252 KB Output is correct
66 Correct 168 ms 10768 KB Output is correct
67 Correct 131 ms 9640 KB Output is correct
68 Correct 165 ms 9856 KB Output is correct
69 Correct 190 ms 11252 KB Output is correct
70 Correct 174 ms 10732 KB Output is correct
71 Correct 119 ms 8696 KB Output is correct
72 Correct 137 ms 9464 KB Output is correct
73 Correct 189 ms 11252 KB Output is correct
74 Correct 163 ms 10532 KB Output is correct
75 Correct 211 ms 10612 KB Output is correct
76 Correct 208 ms 10616 KB Output is correct
77 Correct 190 ms 10740 KB Output is correct
78 Correct 123 ms 8188 KB Output is correct
79 Correct 148 ms 9080 KB Output is correct
80 Correct 229 ms 10616 KB Output is correct
81 Correct 206 ms 10876 KB Output is correct
82 Correct 190 ms 11004 KB Output is correct