oj.uz

Submission #262615

# Submission time Handle Problem Language Result Execution time Memory
262615 2020-08-13T05:20:50 Z dennisstar Capital City (JOI20_capital_city) C++17
100 / 100
 1020 ms 40340 KB 
#include <bits/stdc++.h>
#define eb emplace_back
using namespace std;
using pii=pair<int, int>;

const int MX = 2e5 + 5;

int N, K, C[MX];
int A, vis[MX], sz[MX];
vector<int> adj[MX], ele[MX];

int P[MX], cnt[MX], use[MX], clh[MX];
void d1(int n, int p) {
	sz[n]=1; cnt[C[n]]++;
	for (auto &i:adj[n])
		if (i!=p&&!vis[i]) d1(i, n), sz[n]+=sz[i];
}

int d2(int n, int p, int c) {
	for (auto &i:adj[n])
		if (i!=p&&!vis[i]&&sz[i]>=c) return d2(i, n, c);
	return n;
}

void d3(int n) {
	vector<pii> V;
	V.eb(n, 0);
	for (int i=0; i<V.size(); i++) {
		int x, y;
		x=V[i].first, y=V[i].second;
		P[x]=y;
		for (auto &j:adj[x])
			if (j!=y&&!vis[j]) V.eb(j, x);
	}
}

void d4(int n) {
	vector<pii> V;
	V.eb(n, 0);
	for (int i=0; i<V.size(); i++) {
		int x, y;
		x=V[i].first, y=V[i].second;
		cnt[C[x]]=0;
		for (auto &j:adj[x])
			if (j!=y&&!vis[j]) V.eb(j, x);
	}
}

void sol(int st) {
	d1(st, 0);
	int c=d2(st, 0, sz[st]/2+1);
	d3(c);

	int fl=0, d=0;
	vector<int> s; s.eb(c);
	for (int i=0; i<s.size(); i++) {
		int x=s[i];
		if (use[x]) continue;
		use[x]=1;
		if (ele[C[x]].size()!=cnt[C[x]]) { fl=1; break; }
		if (!clh[C[x]]) {
			clh[C[x]]=1;
			d++;
			for (auto &j:ele[C[x]]) s.eb(j);
		}
		if (P[x]) s.eb(P[x]);
	}
	if (!fl) A=min(A, d);
	for (auto &i:s) use[i]=0, clh[C[i]]=0;
	d4(st);
	s.clear();

	vis[c]=1;
	for (auto &i:adj[c]) if (!vis[i]) sol(i);
}

int main() {
	cin.tie(0)->sync_with_stdio(0);

	cin>>N>>K;
	for (int i=1, u, v; i<N; i++) cin>>u>>v, adj[u].eb(v), adj[v].eb(u);
	for (int i=1; i<=N; i++) cin>>C[i], ele[C[i]].eb(i);

	A=MX;
	sol(1);

	cout<<A-1<<'\n';
	return 0;
}

Compilation message

capital_city.cpp: In function 'void d3(int)':
capital_city.cpp:28:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |  for (int i=0; i<V.size(); i++) {
      |                ~^~~~~~~~~
capital_city.cpp: In function 'void d4(int)':
capital_city.cpp:40:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |  for (int i=0; i<V.size(); i++) {
      |                ~^~~~~~~~~
capital_city.cpp: In function 'void sol(int)':
capital_city.cpp:56:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |  for (int i=0; i<s.size(); i++) {
      |                ~^~~~~~~~~
capital_city.cpp:60:23: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   60 |   if (ele[C[x]].size()!=cnt[C[x]]) { fl=1; break; }
      |       ~~~~~~~~~~~~~~~~^~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9728 KB Output is correct
2 Correct 8 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 7 ms 9728 KB Output is correct
8 Correct 7 ms 9728 KB Output is correct
9 Correct 7 ms 9728 KB Output is correct
10 Correct 7 ms 9728 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9728 KB Output is correct
2 Correct 8 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 7 ms 9728 KB Output is correct
8 Correct 7 ms 9728 KB Output is correct
9 Correct 7 ms 9728 KB Output is correct
10 Correct 7 ms 9728 KB Output is correct
11 Correct 10 ms 9984 KB Output is correct
12 Correct 10 ms 9984 KB Output is correct
13 Correct 10 ms 9984 KB Output is correct
14 Correct 12 ms 9984 KB Output is correct
15 Correct 10 ms 9984 KB Output is correct
16 Correct 10 ms 9984 KB Output is correct
17 Correct 9 ms 9984 KB Output is correct
18 Correct 9 ms 9984 KB Output is correct
19 Correct 9 ms 9984 KB Output is correct
20 Correct 9 ms 9984 KB Output is correct
21 Correct 9 ms 9984 KB Output is correct
22 Correct 10 ms 9984 KB Output is correct
23 Correct 10 ms 9984 KB Output is correct
24 Correct 11 ms 9984 KB Output is correct
25 Correct 10 ms 9984 KB Output is correct
26 Correct 10 ms 9984 KB Output is correct
27 Correct 10 ms 9984 KB Output is correct
28 Correct 10 ms 9984 KB Output is correct
29 Correct 10 ms 9984 KB Output is correct
30 Correct 10 ms 9984 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 737 ms 34780 KB Output is correct
2 Correct 314 ms 35008 KB Output is correct
3 Correct 737 ms 34720 KB Output is correct
4 Correct 320 ms 35096 KB Output is correct
5 Correct 767 ms 38388 KB Output is correct
6 Correct 314 ms 38840 KB Output is correct
7 Correct 778 ms 38396 KB Output is correct
8 Correct 340 ms 40264 KB Output is correct
9 Correct 1020 ms 37304 KB Output is correct
10 Correct 958 ms 35912 KB Output is correct
11 Correct 868 ms 37688 KB Output is correct
12 Correct 926 ms 39356 KB Output is correct
13 Correct 932 ms 35700 KB Output is correct
14 Correct 891 ms 39420 KB Output is correct
15 Correct 935 ms 39352 KB Output is correct
16 Correct 904 ms 36280 KB Output is correct
17 Correct 908 ms 36792 KB Output is correct
18 Correct 969 ms 36792 KB Output is correct
19 Correct 909 ms 38620 KB Output is correct
20 Correct 907 ms 40016 KB Output is correct
21 Correct 7 ms 9728 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9728 KB Output is correct
2 Correct 8 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 7 ms 9728 KB Output is correct
8 Correct 7 ms 9728 KB Output is correct
9 Correct 7 ms 9728 KB Output is correct
10 Correct 7 ms 9728 KB Output is correct
11 Correct 10 ms 9984 KB Output is correct
12 Correct 10 ms 9984 KB Output is correct
13 Correct 10 ms 9984 KB Output is correct
14 Correct 12 ms 9984 KB Output is correct
15 Correct 10 ms 9984 KB Output is correct
16 Correct 10 ms 9984 KB Output is correct
17 Correct 9 ms 9984 KB Output is correct
18 Correct 9 ms 9984 KB Output is correct
19 Correct 9 ms 9984 KB Output is correct
20 Correct 9 ms 9984 KB Output is correct
21 Correct 9 ms 9984 KB Output is correct
22 Correct 10 ms 9984 KB Output is correct
23 Correct 10 ms 9984 KB Output is correct
24 Correct 11 ms 9984 KB Output is correct
25 Correct 10 ms 9984 KB Output is correct
26 Correct 10 ms 9984 KB Output is correct
27 Correct 10 ms 9984 KB Output is correct
28 Correct 10 ms 9984 KB Output is correct
29 Correct 10 ms 9984 KB Output is correct
30 Correct 10 ms 9984 KB Output is correct
31 Correct 737 ms 34780 KB Output is correct
32 Correct 314 ms 35008 KB Output is correct
33 Correct 737 ms 34720 KB Output is correct
34 Correct 320 ms 35096 KB Output is correct
35 Correct 767 ms 38388 KB Output is correct
36 Correct 314 ms 38840 KB Output is correct
37 Correct 778 ms 38396 KB Output is correct
38 Correct 340 ms 40264 KB Output is correct
39 Correct 1020 ms 37304 KB Output is correct
40 Correct 958 ms 35912 KB Output is correct
41 Correct 868 ms 37688 KB Output is correct
42 Correct 926 ms 39356 KB Output is correct
43 Correct 932 ms 35700 KB Output is correct
44 Correct 891 ms 39420 KB Output is correct
45 Correct 935 ms 39352 KB Output is correct
46 Correct 904 ms 36280 KB Output is correct
47 Correct 908 ms 36792 KB Output is correct
48 Correct 969 ms 36792 KB Output is correct
49 Correct 909 ms 38620 KB Output is correct
50 Correct 907 ms 40016 KB Output is correct
51 Correct 7 ms 9728 KB Output is correct
52 Correct 613 ms 30576 KB Output is correct
53 Correct 657 ms 30660 KB Output is correct
54 Correct 647 ms 30648 KB Output is correct
55 Correct 682 ms 30724 KB Output is correct
56 Correct 682 ms 30488 KB Output is correct
57 Correct 658 ms 30676 KB Output is correct
58 Correct 716 ms 32352 KB Output is correct
59 Correct 680 ms 30612 KB Output is correct
60 Correct 814 ms 30284 KB Output is correct
61 Correct 820 ms 31992 KB Output is correct
62 Correct 314 ms 38784 KB Output is correct
63 Correct 322 ms 38756 KB Output is correct
64 Correct 318 ms 40340 KB Output is correct
65 Correct 318 ms 38736 KB Output is correct
66 Correct 549 ms 35788 KB Output is correct
67 Correct 492 ms 35460 KB Output is correct
68 Correct 483 ms 35460 KB Output is correct
69 Correct 498 ms 35460 KB Output is correct
70 Correct 473 ms 35584 KB Output is correct
71 Correct 491 ms 35512 KB Output is correct
72 Correct 504 ms 35592 KB Output is correct
73 Correct 515 ms 34948 KB Output is correct
74 Correct 514 ms 35460 KB Output is correct
75 Correct 547 ms 35664 KB Output is correct
76 Correct 812 ms 34700 KB Output is correct
77 Correct 753 ms 33852 KB Output is correct
78 Correct 818 ms 36544 KB Output is correct
79 Correct 870 ms 35364 KB Output is correct
80 Correct 864 ms 39748 KB Output is correct
81 Correct 852 ms 37568 KB Output is correct
82 Correct 849 ms 37688 KB Output is correct
83 Correct 923 ms 35640 KB Output is correct
84 Correct 942 ms 39352 KB Output is correct
85 Correct 924 ms 38328 KB Output is correct
86 Correct 875 ms 35336 KB Output is correct
87 Correct 896 ms 36468 KB Output is correct
88 Correct 789 ms 36920 KB Output is correct
89 Correct 760 ms 34512 KB Output is correct
90 Correct 751 ms 34500 KB Output is correct
91 Correct 739 ms 35944 KB Output is correct
92 Correct 726 ms 35068 KB Output is correct
93 Correct 738 ms 34876 KB Output is correct
94 Correct 786 ms 34616 KB Output is correct
95 Correct 803 ms 35384 KB Output is correct
96 Correct 861 ms 34744 KB Output is correct
97 Correct 812 ms 35768 KB Output is correct