Submission #223173

# Submission time Handle Problem Language Result Execution time Memory
223173 2020-04-15T02:47:53 Z arnold518 Capital City (JOI20_capital_city) C++14
100 / 100
1053 ms 38116 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 2e5;

int N, K, C[MAXN+10], ans=987654321, num[MAXN+10];
vector<int> adj[MAXN+10];

int sz[MAXN+10], del[MAXN+10];

void getsz(int now, int bef)
{
	sz[now]=1;
	for(int nxt : adj[now])
	{
		if(nxt==bef) continue;
		if(del[nxt]) continue;
		getsz(nxt, now);
		sz[now]+=sz[nxt];
	}
}

int getcen(int now, int bef, int S)
{
	for(int nxt : adj[now])
	{
		if(nxt==bef) continue;
		if(del[nxt]) continue;
		if(sz[nxt]>S/2) return getcen(nxt, now, S);
	}
	return now;
}

int par[MAXN+10], vis[MAXN+10], cvis[MAXN+10];
vector<int> V[MAXN+10];
vector<pii> V2;

void dfs(int now, int bef)
{
	par[now]=bef; vis[now]=0; cvis[C[now]]=0;
	V[C[now]].push_back(now);
	V2.push_back({now, C[now]});
	for(int nxt : adj[now])
	{
		if(nxt==bef) continue;
		if(del[nxt]) continue;
		dfs(nxt, now);
	}
}

void decomp(int now)
{
	getsz(now, now);
	now=getcen(now, now, sz[now]);
	del[now]=true;

	dfs(now, now);
	queue<int> Q;
	Q.push(C[now]);
	cvis[C[now]]=true;
	int cnt=0;

	//printf("CENTROID %d\n", now);

	while(!Q.empty())
	{
		int col=Q.front(); Q.pop(); cnt++;

		for(auto it : V[col])
		{
			int v=it;
			while(!vis[v])
			{
				//printf("%d\n", v);
				vis[v]=true;
				if(!cvis[C[v]])
				{
					cvis[C[v]]=true;
					Q.push(C[v]);
				}
				v=par[v];
			}
		}
	}

	bool flag=true;
	for(auto it : V2) if(cvis[it.second] && V[it.second].size()!=num[it.second]) flag=false;
	if(flag) ans=min(ans, cnt);

	for(auto it : V2) V[it.second].clear();
	V2.clear();

	for(int nxt : adj[now])
	{
		if(del[nxt]) continue;
		decomp(nxt);
	}
}

int main()
{
	int i, j;

	scanf("%d%d", &N, &K);
	for(i=1; i<N; i++)
	{
		int u, v;
		scanf("%d%d", &u, &v);
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	for(i=1; i<=N; i++) scanf("%d", &C[i]), num[C[i]]++;

	decomp(1);
	printf("%d\n", ans-1);
}

Compilation message

capital_city.cpp: In function 'void decomp(int)':
capital_city.cpp:91:61: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(auto it : V2) if(cvis[it.second] && V[it.second].size()!=num[it.second]) flag=false;
                                          ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:106:9: warning: unused variable 'j' [-Wunused-variable]
  int i, j;
         ^
capital_city.cpp:108:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d", &N, &K);
  ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:112:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", &u, &v);
   ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:116:40: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(i=1; i<=N; i++) scanf("%d", &C[i]), num[C[i]]++;
                      ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9728 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 13 ms 9728 KB Output is correct
6 Correct 10 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9728 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 13 ms 9728 KB Output is correct
6 Correct 10 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct
11 Correct 13 ms 9856 KB Output is correct
12 Correct 13 ms 9832 KB Output is correct
13 Correct 13 ms 9856 KB Output is correct
14 Correct 22 ms 9984 KB Output is correct
15 Correct 12 ms 9984 KB Output is correct
16 Correct 12 ms 9856 KB Output is correct
17 Correct 12 ms 9984 KB Output is correct
18 Correct 12 ms 9984 KB Output is correct
19 Correct 12 ms 9984 KB Output is correct
20 Correct 12 ms 9984 KB Output is correct
21 Correct 12 ms 9984 KB Output is correct
22 Correct 13 ms 10112 KB Output is correct
23 Correct 13 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 12 ms 9984 KB Output is correct
26 Correct 13 ms 9984 KB Output is correct
27 Correct 13 ms 9984 KB Output is correct
28 Correct 13 ms 9984 KB Output is correct
29 Correct 15 ms 9984 KB Output is correct
30 Correct 13 ms 9984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 929 ms 37608 KB Output is correct
2 Correct 284 ms 38116 KB Output is correct
3 Correct 949 ms 37220 KB Output is correct
4 Correct 280 ms 37864 KB Output is correct
5 Correct 907 ms 34796 KB Output is correct
6 Correct 287 ms 37988 KB Output is correct
7 Correct 888 ms 35044 KB Output is correct
8 Correct 277 ms 37348 KB Output is correct
9 Correct 964 ms 33124 KB Output is correct
10 Correct 958 ms 31204 KB Output is correct
11 Correct 950 ms 33768 KB Output is correct
12 Correct 986 ms 35816 KB Output is correct
13 Correct 995 ms 31080 KB Output is correct
14 Correct 973 ms 35940 KB Output is correct
15 Correct 970 ms 35684 KB Output is correct
16 Correct 962 ms 31588 KB Output is correct
17 Correct 957 ms 32132 KB Output is correct
18 Correct 964 ms 32228 KB Output is correct
19 Correct 994 ms 34788 KB Output is correct
20 Correct 959 ms 36452 KB Output is correct
21 Correct 10 ms 9728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9728 KB Output is correct
2 Correct 10 ms 9728 KB Output is correct
3 Correct 10 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 13 ms 9728 KB Output is correct
6 Correct 10 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 10 ms 9728 KB Output is correct
9 Correct 10 ms 9728 KB Output is correct
10 Correct 10 ms 9728 KB Output is correct
11 Correct 13 ms 9856 KB Output is correct
12 Correct 13 ms 9832 KB Output is correct
13 Correct 13 ms 9856 KB Output is correct
14 Correct 22 ms 9984 KB Output is correct
15 Correct 12 ms 9984 KB Output is correct
16 Correct 12 ms 9856 KB Output is correct
17 Correct 12 ms 9984 KB Output is correct
18 Correct 12 ms 9984 KB Output is correct
19 Correct 12 ms 9984 KB Output is correct
20 Correct 12 ms 9984 KB Output is correct
21 Correct 12 ms 9984 KB Output is correct
22 Correct 13 ms 10112 KB Output is correct
23 Correct 13 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 12 ms 9984 KB Output is correct
26 Correct 13 ms 9984 KB Output is correct
27 Correct 13 ms 9984 KB Output is correct
28 Correct 13 ms 9984 KB Output is correct
29 Correct 15 ms 9984 KB Output is correct
30 Correct 13 ms 9984 KB Output is correct
31 Correct 929 ms 37608 KB Output is correct
32 Correct 284 ms 38116 KB Output is correct
33 Correct 949 ms 37220 KB Output is correct
34 Correct 280 ms 37864 KB Output is correct
35 Correct 907 ms 34796 KB Output is correct
36 Correct 287 ms 37988 KB Output is correct
37 Correct 888 ms 35044 KB Output is correct
38 Correct 277 ms 37348 KB Output is correct
39 Correct 964 ms 33124 KB Output is correct
40 Correct 958 ms 31204 KB Output is correct
41 Correct 950 ms 33768 KB Output is correct
42 Correct 986 ms 35816 KB Output is correct
43 Correct 995 ms 31080 KB Output is correct
44 Correct 973 ms 35940 KB Output is correct
45 Correct 970 ms 35684 KB Output is correct
46 Correct 962 ms 31588 KB Output is correct
47 Correct 957 ms 32132 KB Output is correct
48 Correct 964 ms 32228 KB Output is correct
49 Correct 994 ms 34788 KB Output is correct
50 Correct 959 ms 36452 KB Output is correct
51 Correct 10 ms 9728 KB Output is correct
52 Correct 621 ms 23652 KB Output is correct
53 Correct 685 ms 23396 KB Output is correct
54 Correct 663 ms 23396 KB Output is correct
55 Correct 657 ms 23400 KB Output is correct
56 Correct 682 ms 23532 KB Output is correct
57 Correct 667 ms 23396 KB Output is correct
58 Correct 699 ms 26852 KB Output is correct
59 Correct 657 ms 26980 KB Output is correct
60 Correct 816 ms 26724 KB Output is correct
61 Correct 892 ms 26476 KB Output is correct
62 Correct 282 ms 37988 KB Output is correct
63 Correct 276 ms 37860 KB Output is correct
64 Correct 287 ms 37604 KB Output is correct
65 Correct 307 ms 37976 KB Output is correct
66 Correct 481 ms 30828 KB Output is correct
67 Correct 490 ms 30960 KB Output is correct
68 Correct 505 ms 30824 KB Output is correct
69 Correct 496 ms 30820 KB Output is correct
70 Correct 522 ms 32236 KB Output is correct
71 Correct 486 ms 33768 KB Output is correct
72 Correct 498 ms 34152 KB Output is correct
73 Correct 514 ms 33636 KB Output is correct
74 Correct 486 ms 34408 KB Output is correct
75 Correct 506 ms 34536 KB Output is correct
76 Correct 764 ms 33380 KB Output is correct
77 Correct 744 ms 31972 KB Output is correct
78 Correct 967 ms 35684 KB Output is correct
79 Correct 971 ms 34020 KB Output is correct
80 Correct 970 ms 36836 KB Output is correct
81 Correct 982 ms 33256 KB Output is correct
82 Correct 1036 ms 34020 KB Output is correct
83 Correct 1053 ms 30820 KB Output is correct
84 Correct 972 ms 35556 KB Output is correct
85 Correct 980 ms 34388 KB Output is correct
86 Correct 964 ms 30436 KB Output is correct
87 Correct 1016 ms 31844 KB Output is correct
88 Correct 880 ms 32740 KB Output is correct
89 Correct 854 ms 29412 KB Output is correct
90 Correct 812 ms 29408 KB Output is correct
91 Correct 869 ms 31332 KB Output is correct
92 Correct 824 ms 30180 KB Output is correct
93 Correct 819 ms 29928 KB Output is correct
94 Correct 820 ms 29468 KB Output is correct
95 Correct 830 ms 30672 KB Output is correct
96 Correct 830 ms 29796 KB Output is correct
97 Correct 923 ms 31332 KB Output is correct