oj.uz

Submission #682055

# Submission time Handle Problem Language Result Execution time Memory
682055 2023-01-15T12:46:57 Z Makarooni Mergers (JOI19_mergers) C++17
100 / 100
 1300 ms 218716 KB 
/* IN THE NAME OF GOD */
/* |\/| /-\ |\| | |\/| /-\ */

#include "bits/stdc++.h"
using namespace std;

#define sz(x) (int)x.size()
#define endl '\n'
#define pb push_back
#define all(x) x.begin(), x.end()
#define F first
#define S second
#define mr make_pair
#define int long long
#define pii pair<int, int>
typedef long double ld;
typedef long long ll;

mt19937 rng (chrono::high_resolution_clock::now().time_since_epoch().count());

const int N = 5e5 + 10;
const ll MOD = 1e9 + 9;
const ll inf = 2e17;
const ll INF = 7e15;

vector<int> g[N];
int cnt[N], s[N], sum[N], k, T, par[N][20], h[N], tin[N], tout[N], f[N], d[N];
vector<int> col[N];

void dfs(int v, int p){
	for(int i = 1; i < 20; i++)
		par[v][i] = par[par[v][i - 1]][i - 1];
	tin[v] = ++T;
	for(int u : g[v]){
		if(u == p)
			continue;
		par[u][0] = v;
		h[u] = h[v] + 1;
		dfs(u, v);
	}
	tout[v] = ++T;
}

int lca(int u, int v){
	if(h[u] > h[v])
		swap(u, v);
	int H = h[v] - h[u];
	for(int i = 0; i < 20; i++){
		if(H & (1 << i))
			v = par[v][i];
	}
	if(v == u)
		return v;
	for(int i = 19; i >= 0; i--){
		if(par[v][i] != par[u][i])
			v = par[v][i], u = par[u][i];
	}
	return par[v][0];
}

void moorgh(int v, int p){
	for(int u : g[v]){
		if(u == p)
			continue;
		moorgh(u, v);
		sum[v] += sum[u];
	}
	sum[v] += f[v];
}

int32_t main(){
	ios_base:: sync_with_stdio(0), cin.tie(0), cout.tie(0);
	int n;
	cin >> n >> k;
	int u, v;
	for(int i = 1; i < n; i++){
		cin >> u >> v;
		g[u].pb(v);
		g[v].pb(u);
	}
	for(int i = 1; i <= n; i++){
		cin >> s[i];
		col[s[i]].pb(i);
		cnt[s[i]]++;
	}
	dfs(1, 0);
	vector<pii> st;
	for(int i = 1; i <= k; i++){
		if(sz(col[i]) == 0)
			continue;
		int root = col[i][0];
		for(int v : col[i])
			root = lca(root, v);
		for(int v : col[i]){
			f[root]--;
			f[v]++;
		}
	}
	moorgh(1, 0);
	vector<pii> vec;
	for(int i = 2; i <= n; i++){
		if(sum[i] == 0){
			vec.pb(mr(tin[i], i));
			vec.pb(mr(tin[par[i][0]], par[i][0]));
		}
	}
	sort(all(vec));
	vec.resize(unique(all(vec)) - vec.begin());
	st.clear();
	for(pii v : vec)
		st.pb(v);
	for(int i = 0; i < sz(vec) - 1; i++)
		st.pb(mr(tin[lca(vec[i].S, vec[i + 1].S)], lca(vec[i].S, vec[i + 1].S)));
	sort(all(st));
	st.resize(unique(all(st)) - st.begin());
	vector<int> V;
	for(pii v : st) {
		while(!V.empty() && tout[V.back()] < tout[v.S])
			V.pop_back();
		if(!V.empty()){
			d[v.S]++;
			d[V.back()]++;
		}
		V.pb(v.S);
	}
	int t = 0;
	for(pii v : st){
		if(d[v.S] == 1)
			t++;
	}
	cout <<  t / 2 + (t % 2);
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23892 KB Output is correct
4 Correct 12 ms 23764 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 12 ms 23892 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23844 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23784 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23788 KB Output is correct
15 Correct 12 ms 23892 KB Output is correct
16 Correct 14 ms 23764 KB Output is correct
17 Correct 12 ms 23856 KB Output is correct
18 Correct 11 ms 23812 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 12 ms 23808 KB Output is correct
22 Correct 12 ms 23828 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23892 KB Output is correct
4 Correct 12 ms 23764 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 12 ms 23892 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23844 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23784 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23788 KB Output is correct
15 Correct 12 ms 23892 KB Output is correct
16 Correct 14 ms 23764 KB Output is correct
17 Correct 12 ms 23856 KB Output is correct
18 Correct 11 ms 23812 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 12 ms 23808 KB Output is correct
22 Correct 12 ms 23828 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 12 ms 23788 KB Output is correct
26 Correct 14 ms 24844 KB Output is correct
27 Correct 14 ms 24660 KB Output is correct
28 Correct 16 ms 24984 KB Output is correct
29 Correct 15 ms 25044 KB Output is correct
30 Correct 14 ms 24660 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 14 ms 24916 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 13 ms 24532 KB Output is correct
35 Correct 15 ms 25028 KB Output is correct
36 Correct 14 ms 24660 KB Output is correct
37 Correct 14 ms 24752 KB Output is correct
38 Correct 11 ms 23892 KB Output is correct
39 Correct 14 ms 24760 KB Output is correct
40 Correct 13 ms 24660 KB Output is correct
41 Correct 13 ms 24684 KB Output is correct
42 Correct 13 ms 24660 KB Output is correct
43 Correct 13 ms 24772 KB Output is correct
44 Correct 13 ms 23896 KB Output is correct
45 Correct 15 ms 24788 KB Output is correct
46 Correct 15 ms 24644 KB Output is correct
47 Correct 12 ms 23892 KB Output is correct
48 Correct 14 ms 24748 KB Output is correct
49 Correct 14 ms 25004 KB Output is correct
50 Correct 15 ms 25044 KB Output is correct
51 Correct 14 ms 24660 KB Output is correct
52 Correct 14 ms 24676 KB Output is correct
53 Correct 16 ms 24660 KB Output is correct
54 Correct 14 ms 24532 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23892 KB Output is correct
4 Correct 12 ms 23764 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 12 ms 23892 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23844 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23784 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23788 KB Output is correct
15 Correct 12 ms 23892 KB Output is correct
16 Correct 14 ms 23764 KB Output is correct
17 Correct 12 ms 23856 KB Output is correct
18 Correct 11 ms 23812 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 12 ms 23808 KB Output is correct
22 Correct 12 ms 23828 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 12 ms 23892 KB Output is correct
26 Correct 81 ms 49264 KB Output is correct
27 Correct 111 ms 49016 KB Output is correct
28 Correct 15 ms 24660 KB Output is correct
29 Correct 13 ms 23892 KB Output is correct
30 Correct 12 ms 23892 KB Output is correct
31 Correct 109 ms 49212 KB Output is correct
32 Correct 13 ms 24660 KB Output is correct
33 Correct 133 ms 54092 KB Output is correct
34 Correct 108 ms 49032 KB Output is correct
35 Correct 14 ms 24568 KB Output is correct
36 Correct 129 ms 49252 KB Output is correct
37 Correct 14 ms 24640 KB Output is correct
38 Correct 13 ms 24660 KB Output is correct
39 Correct 80 ms 49160 KB Output is correct
40 Correct 14 ms 24700 KB Output is correct
41 Correct 104 ms 48840 KB Output is correct
42 Correct 135 ms 50296 KB Output is correct
43 Correct 12 ms 23892 KB Output is correct
44 Correct 129 ms 54192 KB Output is correct
45 Correct 140 ms 52640 KB Output is correct
46 Correct 14 ms 24656 KB Output is correct
47 Correct 14 ms 24560 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 49224 KB Output is correct
2 Correct 131 ms 61236 KB Output is correct
3 Correct 15 ms 24916 KB Output is correct
4 Correct 14 ms 24660 KB Output is correct
5 Correct 12 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 14 ms 24612 KB Output is correct
8 Correct 137 ms 51932 KB Output is correct
9 Correct 14 ms 24660 KB Output is correct
10 Correct 110 ms 49968 KB Output is correct
11 Correct 12 ms 23892 KB Output is correct
12 Correct 126 ms 49452 KB Output is correct
13 Correct 138 ms 52884 KB Output is correct
14 Correct 170 ms 61120 KB Output is correct
15 Correct 81 ms 49160 KB Output is correct
16 Correct 14 ms 24760 KB Output is correct
17 Correct 12 ms 23892 KB Output is correct
18 Correct 132 ms 60332 KB Output is correct
19 Correct 191 ms 63732 KB Output is correct
20 Correct 14 ms 24660 KB Output is correct
21 Correct 14 ms 23900 KB Output is correct
22 Correct 108 ms 52396 KB Output is correct
23 Correct 15 ms 24720 KB Output is correct
24 Correct 130 ms 51104 KB Output is correct
25 Correct 187 ms 63416 KB Output is correct
26 Correct 15 ms 24984 KB Output is correct
27 Correct 15 ms 25080 KB Output is correct
28 Correct 15 ms 24744 KB Output is correct
29 Correct 13 ms 24632 KB Output is correct
30 Correct 14 ms 24660 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23892 KB Output is correct
4 Correct 12 ms 23764 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 12 ms 23892 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23844 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23784 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 12 ms 23764 KB Output is correct
14 Correct 11 ms 23788 KB Output is correct
15 Correct 12 ms 23892 KB Output is correct
16 Correct 14 ms 23764 KB Output is correct
17 Correct 12 ms 23856 KB Output is correct
18 Correct 11 ms 23812 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 12 ms 23808 KB Output is correct
22 Correct 12 ms 23828 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 12 ms 23788 KB Output is correct
26 Correct 14 ms 24844 KB Output is correct
27 Correct 14 ms 24660 KB Output is correct
28 Correct 16 ms 24984 KB Output is correct
29 Correct 15 ms 25044 KB Output is correct
30 Correct 14 ms 24660 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 14 ms 24916 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 13 ms 24532 KB Output is correct
35 Correct 15 ms 25028 KB Output is correct
36 Correct 14 ms 24660 KB Output is correct
37 Correct 14 ms 24752 KB Output is correct
38 Correct 11 ms 23892 KB Output is correct
39 Correct 14 ms 24760 KB Output is correct
40 Correct 13 ms 24660 KB Output is correct
41 Correct 13 ms 24684 KB Output is correct
42 Correct 13 ms 24660 KB Output is correct
43 Correct 13 ms 24772 KB Output is correct
44 Correct 13 ms 23896 KB Output is correct
45 Correct 15 ms 24788 KB Output is correct
46 Correct 15 ms 24644 KB Output is correct
47 Correct 12 ms 23892 KB Output is correct
48 Correct 14 ms 24748 KB Output is correct
49 Correct 14 ms 25004 KB Output is correct
50 Correct 15 ms 25044 KB Output is correct
51 Correct 14 ms 24660 KB Output is correct
52 Correct 14 ms 24676 KB Output is correct
53 Correct 16 ms 24660 KB Output is correct
54 Correct 14 ms 24532 KB Output is correct
55 Correct 12 ms 23892 KB Output is correct
56 Correct 81 ms 49264 KB Output is correct
57 Correct 111 ms 49016 KB Output is correct
58 Correct 15 ms 24660 KB Output is correct
59 Correct 13 ms 23892 KB Output is correct
60 Correct 12 ms 23892 KB Output is correct
61 Correct 109 ms 49212 KB Output is correct
62 Correct 13 ms 24660 KB Output is correct
63 Correct 133 ms 54092 KB Output is correct
64 Correct 108 ms 49032 KB Output is correct
65 Correct 14 ms 24568 KB Output is correct
66 Correct 129 ms 49252 KB Output is correct
67 Correct 14 ms 24640 KB Output is correct
68 Correct 13 ms 24660 KB Output is correct
69 Correct 80 ms 49160 KB Output is correct
70 Correct 14 ms 24700 KB Output is correct
71 Correct 104 ms 48840 KB Output is correct
72 Correct 135 ms 50296 KB Output is correct
73 Correct 12 ms 23892 KB Output is correct
74 Correct 129 ms 54192 KB Output is correct
75 Correct 140 ms 52640 KB Output is correct
76 Correct 14 ms 24656 KB Output is correct
77 Correct 14 ms 24560 KB Output is correct
78 Correct 82 ms 49224 KB Output is correct
79 Correct 131 ms 61236 KB Output is correct
80 Correct 15 ms 24916 KB Output is correct
81 Correct 14 ms 24660 KB Output is correct
82 Correct 12 ms 23764 KB Output is correct
83 Correct 12 ms 23764 KB Output is correct
84 Correct 14 ms 24612 KB Output is correct
85 Correct 137 ms 51932 KB Output is correct
86 Correct 14 ms 24660 KB Output is correct
87 Correct 110 ms 49968 KB Output is correct
88 Correct 12 ms 23892 KB Output is correct
89 Correct 126 ms 49452 KB Output is correct
90 Correct 138 ms 52884 KB Output is correct
91 Correct 170 ms 61120 KB Output is correct
92 Correct 81 ms 49160 KB Output is correct
93 Correct 14 ms 24760 KB Output is correct
94 Correct 12 ms 23892 KB Output is correct
95 Correct 132 ms 60332 KB Output is correct
96 Correct 191 ms 63732 KB Output is correct
97 Correct 14 ms 24660 KB Output is correct
98 Correct 14 ms 23900 KB Output is correct
99 Correct 108 ms 52396 KB Output is correct
100 Correct 15 ms 24720 KB Output is correct
101 Correct 130 ms 51104 KB Output is correct
102 Correct 187 ms 63416 KB Output is correct
103 Correct 15 ms 24984 KB Output is correct
104 Correct 15 ms 25080 KB Output is correct
105 Correct 15 ms 24744 KB Output is correct
106 Correct 13 ms 24632 KB Output is correct
107 Correct 14 ms 24660 KB Output is correct
108 Correct 615 ms 164068 KB Output is correct
109 Correct 876 ms 160140 KB Output is correct
110 Correct 872 ms 169020 KB Output is correct
111 Correct 1269 ms 218716 KB Output is correct
112 Correct 1250 ms 208884 KB Output is correct
113 Correct 830 ms 199932 KB Output is correct
114 Correct 680 ms 148348 KB Output is correct
115 Correct 646 ms 148304 KB Output is correct
116 Correct 856 ms 156548 KB Output is correct
117 Correct 1187 ms 204092 KB Output is correct
118 Correct 660 ms 151628 KB Output is correct
119 Correct 1145 ms 204220 KB Output is correct
120 Correct 1300 ms 216776 KB Output is correct
121 Correct 1159 ms 204212 KB Output is correct
122 Correct 952 ms 168300 KB Output is correct
123 Correct 878 ms 205004 KB Output is correct
124 Correct 1113 ms 193064 KB Output is correct