oj.uz

Submission #1014669

# Submission time Handle Problem Language Result Execution time Memory
1014669 2024-07-05T09:11:36 Z NintsiChkhaidze Mergers (JOI19_mergers) C++17
70 / 100
 2572 ms 262144 KB 
#include <bits/stdc++.h>
#define pb push_back
#define s second
#define f first
#define pb push_back
#define pii pair <int,int>
#define ll long long
#define int ll
using namespace std;

const int N = 5e5 + 5,inf = 1e18;
vector <pii> v[N],vec[N];
int col[N],tin[N],timer,d[25][N],dep[N];
int edge[N],val[N],n,D,I,p[N],lz[N];
bool vis[N],del[N];
set <int> st[N];

void dfs(int x,int par){
	d[0][x] = par;
	dep[x] = dep[par] + 1;
	tin[x] = ++timer;

	for (auto [to, id]: v[x]){
		if (to != par) {
			edge[to] = id;
			dfs(to,x);
		}
	}
}

int lca(int x,int y){
	if (dep[x] < dep[y ]) swap(x,y);
	for (int i = 20; i >= 0; i--)
		if (dep[d[i][x]] >= dep[y]) x = d[i][x];
	if (x == y) return x;

	for (int i = 20; i >= 0; i--)
		if (d[i][x] != d[i][y]) x = d[i][x],y = d[i][y];

	return d[0][x];
}

void getpath(int x,int y){
	int c = lca(x,y);
	lz[x] += 1;
	lz[y] += 1;
	lz[c] -= 2;
}	

void DFS(int x,int par,int dd){
	if (dd >= D) D = dd,I = x;

	for (auto [to,id]: v[x]){
		if (to != par) DFS(to,x,dd + val[id]);
	}
}

int P(int x){
	if(x==p[x])return x;
	return p[x]=P(p[x]);
}

void dsu(int x,int y){
	int px = P(x),py = P(y);
	if (st[px].size() < st[py].size()) swap(px,py);
	p[py] = px;
	del[py] = 1;
	
	for (int v: st[py])
		st[px].insert(v);
	
	st[py].clear();
}

int dfs2(int x,int par){

	int s = lz[x];
	for (auto [to,id]: v[x]){
		if (to == par) continue;
		s += dfs2(to,x);
	}

	if (x > 1 && s > 0) {
		val[edge[x]] = 0;
	}
	return s;
}
signed main() {
	ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);

	int k;
	cin>>n>>k;

	for (int i = 1; i < n; i++){
		int a,b;
		cin>>a>>b;
		st[a].insert(b);
		st[b].insert(a);
		v[a].pb({b,i});
		v[b].pb({a,i});
		val[i] = 1;
	}

	dfs(1,1);
	for (int j = 1; j <= 20 ; j++)
		for (int i = 1; i <= n; i++)
			d[j][i] = d[j - 1][d[j - 1][i]];

	for (int i = 1; i <= n; i++)
		cin >> col[i],vec[col[i]].pb({tin[i],i});

	for (int i = 1; i <= k; i++){
		sort(vec[i].begin(),vec[i].end());
		for (int j = 1; j < vec[i].size(); j++){
			getpath(vec[i][j].s,vec[i][j - 1].s);
		}
	}
	dfs2(1,1);

	for (int i=1;i<=n;i++)	
		p[i] = i;

	for (int i = 2; i <= n; i++)
		if (!val[edge[i]]) dsu(i,d[0][i]);

	for (int i = 1; i <= n;i++){
		if (del[i]) continue;
		set <int> nw;
		for (int v: st[i])
			nw.insert(P(v));

		if (nw.find(i) != nw.end()) nw.erase(nw.find(i));
		st[i] = nw;
	}

	int ans=0;
	for (int i = 1; i <= n; i++){
		if (del[i]) continue;
		ans += ((int)st[i].size() == 1);
	}
	cout<<(ans + 1)/2;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:114:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |   for (int j = 1; j < vec[i].size(); j++){
      |                   ~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 47452 KB Output is correct
2 Correct 27 ms 47660 KB Output is correct
3 Correct 20 ms 47452 KB Output is correct
4 Correct 20 ms 47636 KB Output is correct
5 Correct 21 ms 47452 KB Output is correct
6 Correct 22 ms 47696 KB Output is correct
7 Correct 20 ms 47448 KB Output is correct
8 Correct 22 ms 47452 KB Output is correct
9 Correct 22 ms 47448 KB Output is correct
10 Correct 21 ms 47452 KB Output is correct
11 Correct 21 ms 47448 KB Output is correct
12 Correct 23 ms 47452 KB Output is correct
13 Correct 21 ms 47652 KB Output is correct
14 Correct 20 ms 47660 KB Output is correct
15 Correct 19 ms 47616 KB Output is correct
16 Correct 19 ms 47664 KB Output is correct
17 Correct 25 ms 47452 KB Output is correct
18 Correct 21 ms 47452 KB Output is correct
19 Correct 24 ms 47452 KB Output is correct
20 Correct 20 ms 47660 KB Output is correct
21 Correct 22 ms 47452 KB Output is correct
22 Correct 22 ms 47692 KB Output is correct
23 Correct 20 ms 47448 KB Output is correct
24 Correct 19 ms 47452 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 47452 KB Output is correct
2 Correct 27 ms 47660 KB Output is correct
3 Correct 20 ms 47452 KB Output is correct
4 Correct 20 ms 47636 KB Output is correct
5 Correct 21 ms 47452 KB Output is correct
6 Correct 22 ms 47696 KB Output is correct
7 Correct 20 ms 47448 KB Output is correct
8 Correct 22 ms 47452 KB Output is correct
9 Correct 22 ms 47448 KB Output is correct
10 Correct 21 ms 47452 KB Output is correct
11 Correct 21 ms 47448 KB Output is correct
12 Correct 23 ms 47452 KB Output is correct
13 Correct 21 ms 47652 KB Output is correct
14 Correct 20 ms 47660 KB Output is correct
15 Correct 19 ms 47616 KB Output is correct
16 Correct 19 ms 47664 KB Output is correct
17 Correct 25 ms 47452 KB Output is correct
18 Correct 21 ms 47452 KB Output is correct
19 Correct 24 ms 47452 KB Output is correct
20 Correct 20 ms 47660 KB Output is correct
21 Correct 22 ms 47452 KB Output is correct
22 Correct 22 ms 47692 KB Output is correct
23 Correct 20 ms 47448 KB Output is correct
24 Correct 19 ms 47452 KB Output is correct
25 Correct 21 ms 47452 KB Output is correct
26 Correct 22 ms 48732 KB Output is correct
27 Correct 24 ms 48732 KB Output is correct
28 Correct 22 ms 48732 KB Output is correct
29 Correct 23 ms 48732 KB Output is correct
30 Correct 25 ms 48780 KB Output is correct
31 Correct 28 ms 47704 KB Output is correct
32 Correct 26 ms 48696 KB Output is correct
33 Correct 21 ms 47448 KB Output is correct
34 Correct 21 ms 48732 KB Output is correct
35 Correct 22 ms 48836 KB Output is correct
36 Correct 23 ms 48728 KB Output is correct
37 Correct 23 ms 48728 KB Output is correct
38 Correct 22 ms 47452 KB Output is correct
39 Correct 26 ms 48876 KB Output is correct
40 Correct 24 ms 48732 KB Output is correct
41 Correct 27 ms 48724 KB Output is correct
42 Correct 23 ms 48732 KB Output is correct
43 Correct 25 ms 48988 KB Output is correct
44 Correct 21 ms 47448 KB Output is correct
45 Correct 23 ms 48732 KB Output is correct
46 Correct 25 ms 48820 KB Output is correct
47 Correct 23 ms 47520 KB Output is correct
48 Correct 26 ms 48732 KB Output is correct
49 Correct 23 ms 48988 KB Output is correct
50 Correct 23 ms 48724 KB Output is correct
51 Correct 30 ms 48900 KB Output is correct
52 Correct 25 ms 48732 KB Output is correct
53 Correct 28 ms 48732 KB Output is correct
54 Correct 27 ms 48724 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 47452 KB Output is correct
2 Correct 27 ms 47660 KB Output is correct
3 Correct 20 ms 47452 KB Output is correct
4 Correct 20 ms 47636 KB Output is correct
5 Correct 21 ms 47452 KB Output is correct
6 Correct 22 ms 47696 KB Output is correct
7 Correct 20 ms 47448 KB Output is correct
8 Correct 22 ms 47452 KB Output is correct
9 Correct 22 ms 47448 KB Output is correct
10 Correct 21 ms 47452 KB Output is correct
11 Correct 21 ms 47448 KB Output is correct
12 Correct 23 ms 47452 KB Output is correct
13 Correct 21 ms 47652 KB Output is correct
14 Correct 20 ms 47660 KB Output is correct
15 Correct 19 ms 47616 KB Output is correct
16 Correct 19 ms 47664 KB Output is correct
17 Correct 25 ms 47452 KB Output is correct
18 Correct 21 ms 47452 KB Output is correct
19 Correct 24 ms 47452 KB Output is correct
20 Correct 20 ms 47660 KB Output is correct
21 Correct 22 ms 47452 KB Output is correct
22 Correct 22 ms 47692 KB Output is correct
23 Correct 20 ms 47448 KB Output is correct
24 Correct 19 ms 47452 KB Output is correct
25 Correct 21 ms 47448 KB Output is correct
26 Correct 168 ms 87128 KB Output is correct
27 Correct 242 ms 87512 KB Output is correct
28 Correct 25 ms 48732 KB Output is correct
29 Correct 21 ms 47448 KB Output is correct
30 Correct 20 ms 47640 KB Output is correct
31 Correct 208 ms 87380 KB Output is correct
32 Correct 23 ms 48732 KB Output is correct
33 Correct 281 ms 91984 KB Output is correct
34 Correct 231 ms 87636 KB Output is correct
35 Correct 24 ms 48732 KB Output is correct
36 Correct 263 ms 88268 KB Output is correct
37 Correct 25 ms 48732 KB Output is correct
38 Correct 23 ms 48732 KB Output is correct
39 Correct 180 ms 88884 KB Output is correct
40 Correct 26 ms 48984 KB Output is correct
41 Correct 229 ms 86996 KB Output is correct
42 Correct 265 ms 89032 KB Output is correct
43 Correct 21 ms 47452 KB Output is correct
44 Correct 324 ms 91868 KB Output is correct
45 Correct 278 ms 90196 KB Output is correct
46 Correct 22 ms 48732 KB Output is correct
47 Correct 25 ms 48692 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 87484 KB Output is correct
2 Correct 152 ms 92260 KB Output is correct
3 Correct 25 ms 48732 KB Output is correct
4 Correct 24 ms 48728 KB Output is correct
5 Correct 20 ms 47452 KB Output is correct
6 Correct 21 ms 47452 KB Output is correct
7 Correct 25 ms 48732 KB Output is correct
8 Correct 191 ms 88408 KB Output is correct
9 Correct 28 ms 48732 KB Output is correct
10 Correct 219 ms 87924 KB Output is correct
11 Correct 23 ms 47452 KB Output is correct
12 Correct 225 ms 88160 KB Output is correct
13 Correct 184 ms 88384 KB Output is correct
14 Correct 129 ms 88064 KB Output is correct
15 Correct 188 ms 88868 KB Output is correct
16 Correct 25 ms 48724 KB Output is correct
17 Correct 26 ms 47444 KB Output is correct
18 Correct 190 ms 91296 KB Output is correct
19 Correct 155 ms 90452 KB Output is correct
20 Correct 32 ms 48728 KB Output is correct
21 Correct 30 ms 47444 KB Output is correct
22 Correct 184 ms 88008 KB Output is correct
23 Correct 25 ms 48728 KB Output is correct
24 Correct 187 ms 88916 KB Output is correct
25 Correct 144 ms 89940 KB Output is correct
26 Correct 24 ms 48736 KB Output is correct
27 Correct 23 ms 48732 KB Output is correct
28 Correct 25 ms 48724 KB Output is correct
29 Correct 24 ms 48732 KB Output is correct
30 Correct 23 ms 48720 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 47452 KB Output is correct
2 Correct 27 ms 47660 KB Output is correct
3 Correct 20 ms 47452 KB Output is correct
4 Correct 20 ms 47636 KB Output is correct
5 Correct 21 ms 47452 KB Output is correct
6 Correct 22 ms 47696 KB Output is correct
7 Correct 20 ms 47448 KB Output is correct
8 Correct 22 ms 47452 KB Output is correct
9 Correct 22 ms 47448 KB Output is correct
10 Correct 21 ms 47452 KB Output is correct
11 Correct 21 ms 47448 KB Output is correct
12 Correct 23 ms 47452 KB Output is correct
13 Correct 21 ms 47652 KB Output is correct
14 Correct 20 ms 47660 KB Output is correct
15 Correct 19 ms 47616 KB Output is correct
16 Correct 19 ms 47664 KB Output is correct
17 Correct 25 ms 47452 KB Output is correct
18 Correct 21 ms 47452 KB Output is correct
19 Correct 24 ms 47452 KB Output is correct
20 Correct 20 ms 47660 KB Output is correct
21 Correct 22 ms 47452 KB Output is correct
22 Correct 22 ms 47692 KB Output is correct
23 Correct 20 ms 47448 KB Output is correct
24 Correct 19 ms 47452 KB Output is correct
25 Correct 21 ms 47452 KB Output is correct
26 Correct 22 ms 48732 KB Output is correct
27 Correct 24 ms 48732 KB Output is correct
28 Correct 22 ms 48732 KB Output is correct
29 Correct 23 ms 48732 KB Output is correct
30 Correct 25 ms 48780 KB Output is correct
31 Correct 28 ms 47704 KB Output is correct
32 Correct 26 ms 48696 KB Output is correct
33 Correct 21 ms 47448 KB Output is correct
34 Correct 21 ms 48732 KB Output is correct
35 Correct 22 ms 48836 KB Output is correct
36 Correct 23 ms 48728 KB Output is correct
37 Correct 23 ms 48728 KB Output is correct
38 Correct 22 ms 47452 KB Output is correct
39 Correct 26 ms 48876 KB Output is correct
40 Correct 24 ms 48732 KB Output is correct
41 Correct 27 ms 48724 KB Output is correct
42 Correct 23 ms 48732 KB Output is correct
43 Correct 25 ms 48988 KB Output is correct
44 Correct 21 ms 47448 KB Output is correct
45 Correct 23 ms 48732 KB Output is correct
46 Correct 25 ms 48820 KB Output is correct
47 Correct 23 ms 47520 KB Output is correct
48 Correct 26 ms 48732 KB Output is correct
49 Correct 23 ms 48988 KB Output is correct
50 Correct 23 ms 48724 KB Output is correct
51 Correct 30 ms 48900 KB Output is correct
52 Correct 25 ms 48732 KB Output is correct
53 Correct 28 ms 48732 KB Output is correct
54 Correct 27 ms 48724 KB Output is correct
55 Correct 21 ms 47448 KB Output is correct
56 Correct 168 ms 87128 KB Output is correct
57 Correct 242 ms 87512 KB Output is correct
58 Correct 25 ms 48732 KB Output is correct
59 Correct 21 ms 47448 KB Output is correct
60 Correct 20 ms 47640 KB Output is correct
61 Correct 208 ms 87380 KB Output is correct
62 Correct 23 ms 48732 KB Output is correct
63 Correct 281 ms 91984 KB Output is correct
64 Correct 231 ms 87636 KB Output is correct
65 Correct 24 ms 48732 KB Output is correct
66 Correct 263 ms 88268 KB Output is correct
67 Correct 25 ms 48732 KB Output is correct
68 Correct 23 ms 48732 KB Output is correct
69 Correct 180 ms 88884 KB Output is correct
70 Correct 26 ms 48984 KB Output is correct
71 Correct 229 ms 86996 KB Output is correct
72 Correct 265 ms 89032 KB Output is correct
73 Correct 21 ms 47452 KB Output is correct
74 Correct 324 ms 91868 KB Output is correct
75 Correct 278 ms 90196 KB Output is correct
76 Correct 22 ms 48732 KB Output is correct
77 Correct 25 ms 48692 KB Output is correct
78 Correct 167 ms 87484 KB Output is correct
79 Correct 152 ms 92260 KB Output is correct
80 Correct 25 ms 48732 KB Output is correct
81 Correct 24 ms 48728 KB Output is correct
82 Correct 20 ms 47452 KB Output is correct
83 Correct 21 ms 47452 KB Output is correct
84 Correct 25 ms 48732 KB Output is correct
85 Correct 191 ms 88408 KB Output is correct
86 Correct 28 ms 48732 KB Output is correct
87 Correct 219 ms 87924 KB Output is correct
88 Correct 23 ms 47452 KB Output is correct
89 Correct 225 ms 88160 KB Output is correct
90 Correct 184 ms 88384 KB Output is correct
91 Correct 129 ms 88064 KB Output is correct
92 Correct 188 ms 88868 KB Output is correct
93 Correct 25 ms 48724 KB Output is correct
94 Correct 26 ms 47444 KB Output is correct
95 Correct 190 ms 91296 KB Output is correct
96 Correct 155 ms 90452 KB Output is correct
97 Correct 32 ms 48728 KB Output is correct
98 Correct 30 ms 47444 KB Output is correct
99 Correct 184 ms 88008 KB Output is correct
100 Correct 25 ms 48728 KB Output is correct
101 Correct 187 ms 88916 KB Output is correct
102 Correct 144 ms 89940 KB Output is correct
103 Correct 24 ms 48736 KB Output is correct
104 Correct 23 ms 48732 KB Output is correct
105 Correct 25 ms 48724 KB Output is correct
106 Correct 24 ms 48732 KB Output is correct
107 Correct 23 ms 48720 KB Output is correct
108 Correct 1366 ms 249936 KB Output is correct
109 Correct 2482 ms 257180 KB Output is correct
110 Correct 2572 ms 262144 KB Output is correct
111 Correct 1186 ms 262144 KB Output is correct
112 Correct 2047 ms 261636 KB Output is correct
113 Correct 1227 ms 262144 KB Output is correct
114 Correct 2166 ms 245752 KB Output is correct
115 Correct 2250 ms 245564 KB Output is correct
116 Correct 2256 ms 252624 KB Output is correct
117 Correct 958 ms 251324 KB Output is correct
118 Correct 1660 ms 246868 KB Output is correct
119 Correct 956 ms 251576 KB Output is correct
120 Correct 941 ms 261740 KB Output is correct
121 Correct 912 ms 252808 KB Output is correct
122 Correct 2048 ms 253288 KB Output is correct
123 Runtime error 799 ms 262144 KB Execution killed with signal 9
124 Halted 0 ms 0 KB -