oj.uz

Submission #604353

# Submission time Handle Problem Language Result Execution time Memory
604353 2022-07-25T04:32:12 Z amunduzbaev Mergers (JOI19_mergers) C++17
100 / 100
 969 ms 139584 KB 
#include "bits/stdc++.h"
using namespace std;

#define ar array
typedef int64_t ll;
#define her cout<<"here"<<endl;

const int N = 5e5 + 5;

struct BIT{
	int tree[N];
	void add(int i, int v){
		for(;i<N;i+=(i&-i)) tree[i] += v;
	}
	
	int get(int i){
		int r = 0;
		for(;i>0;i-=(i&-i)) r += tree[i];
		return r;
	}
}bit;

vector<int> edges[N], G[N];
int a[N], tin[N], tout[N], t;
int par[N][20], pref[N];

void dfs(int u, int p = -1){
	tin[u] = ++t;
	for(int j=1;j<20;j++){
		par[u][j] = par[par[u][j-1]][j-1];
	}
	for(auto x : edges[u]){
		if(x == p) continue;
		par[x][0] = u;
		dfs(x, u);
	}
	
	tout[u] = t;
}

int p[N], sz[N];
int f(int x) { return (p[x] == x ? x : p[x] = f(p[x])); }
void merge(int a, int b){
	a = f(a), b = f(b);
	if(a == b) return;
	if(sz[a] < sz[b]) swap(a, b);
	p[b] = a, sz[a] += sz[b];
}

void dfs2(int u, int p = -1){
	for(auto x : edges[u]){
		if(x == p) continue;
		dfs2(x, u);
		pref[u] += pref[x];
	}
	
	if(pref[u] && ~p){
		merge(u, p);
	}
}

bool is(int a, int b){ return (tin[a] <= tin[b] && tin[b] <= tout[a]); }

int lca(int a, int b){
	if(is(a, b)) return a;
	if(is(b, a)) return b;
	for(int i=19;~i;i--){
		if(!is(par[a][i], b)) a = par[a][i];
	} return par[a][0];
}

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, k; cin >> n >> k;
	for(int i=1;i<n;i++){
		int a, b; cin >> a >> b;
		edges[a].push_back(b);
		edges[b].push_back(a);
	}
	
	for(int i=1;i<=n;i++){
		cin >> a[i];
		G[a[i]].push_back(i);
	}
	
	par[1][0] = 1;
	dfs(1);
	
	for(int i=1;i<=k;i++){
		vector<int>& t = G[i];
		sort(t.begin(), t.end(), [&](int i, int j){
			return tin[i] < tin[j];
		});
		
		int r = lca(t[0], t.back());
		for(auto u : t){
			pref[r]--;
			pref[u]++;
		}
		
		G[i].clear();
	}
	for(int i=1;i<=n;i++) p[i] = i, sz[i] = 1;
	dfs2(1);
	for(int i=1;i<=n;i++){
		for(auto x : edges[i]){
			if(f(i) != f(x)){
				G[f(i)].push_back(f(x));
			}
		}
	}
	
	int tot = 0;
	for(int i=1;i<=n;i++){
		tot += ((int)G[i].size() == 1);
	}
	
	cout<<(tot + 1) / 2<<"\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 11 ms 23792 KB Output is correct
3 Correct 12 ms 23792 KB Output is correct
4 Correct 12 ms 23784 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 14 ms 23868 KB Output is correct
7 Correct 12 ms 23828 KB Output is correct
8 Correct 12 ms 23856 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 13 ms 23872 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23888 KB Output is correct
13 Correct 13 ms 23860 KB Output is correct
14 Correct 13 ms 23816 KB Output is correct
15 Correct 14 ms 23764 KB Output is correct
16 Correct 11 ms 23768 KB Output is correct
17 Correct 11 ms 23764 KB Output is correct
18 Correct 11 ms 23816 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 12 ms 23792 KB Output is correct
21 Correct 12 ms 23820 KB Output is correct
22 Correct 13 ms 23768 KB Output is correct
23 Correct 12 ms 23848 KB Output is correct
24 Correct 12 ms 23792 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 11 ms 23792 KB Output is correct
3 Correct 12 ms 23792 KB Output is correct
4 Correct 12 ms 23784 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 14 ms 23868 KB Output is correct
7 Correct 12 ms 23828 KB Output is correct
8 Correct 12 ms 23856 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 13 ms 23872 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23888 KB Output is correct
13 Correct 13 ms 23860 KB Output is correct
14 Correct 13 ms 23816 KB Output is correct
15 Correct 14 ms 23764 KB Output is correct
16 Correct 11 ms 23768 KB Output is correct
17 Correct 11 ms 23764 KB Output is correct
18 Correct 11 ms 23816 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 12 ms 23792 KB Output is correct
21 Correct 12 ms 23820 KB Output is correct
22 Correct 13 ms 23768 KB Output is correct
23 Correct 12 ms 23848 KB Output is correct
24 Correct 12 ms 23792 KB Output is correct
25 Correct 11 ms 23764 KB Output is correct
26 Correct 15 ms 24344 KB Output is correct
27 Correct 13 ms 24308 KB Output is correct
28 Correct 13 ms 24416 KB Output is correct
29 Correct 14 ms 24320 KB Output is correct
30 Correct 13 ms 24280 KB Output is correct
31 Correct 14 ms 23880 KB Output is correct
32 Correct 13 ms 24532 KB Output is correct
33 Correct 11 ms 23764 KB Output is correct
34 Correct 13 ms 24280 KB Output is correct
35 Correct 14 ms 24404 KB Output is correct
36 Correct 16 ms 24216 KB Output is correct
37 Correct 13 ms 24276 KB Output is correct
38 Correct 12 ms 23800 KB Output is correct
39 Correct 14 ms 24276 KB Output is correct
40 Correct 14 ms 24312 KB Output is correct
41 Correct 15 ms 24432 KB Output is correct
42 Correct 15 ms 24352 KB Output is correct
43 Correct 17 ms 24532 KB Output is correct
44 Correct 13 ms 23892 KB Output is correct
45 Correct 17 ms 24404 KB Output is correct
46 Correct 14 ms 24276 KB Output is correct
47 Correct 12 ms 23796 KB Output is correct
48 Correct 13 ms 24340 KB Output is correct
49 Correct 13 ms 24344 KB Output is correct
50 Correct 13 ms 24404 KB Output is correct
51 Correct 13 ms 24268 KB Output is correct
52 Correct 13 ms 24344 KB Output is correct
53 Correct 13 ms 24352 KB Output is correct
54 Correct 13 ms 24276 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 11 ms 23792 KB Output is correct
3 Correct 12 ms 23792 KB Output is correct
4 Correct 12 ms 23784 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 14 ms 23868 KB Output is correct
7 Correct 12 ms 23828 KB Output is correct
8 Correct 12 ms 23856 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 13 ms 23872 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23888 KB Output is correct
13 Correct 13 ms 23860 KB Output is correct
14 Correct 13 ms 23816 KB Output is correct
15 Correct 14 ms 23764 KB Output is correct
16 Correct 11 ms 23768 KB Output is correct
17 Correct 11 ms 23764 KB Output is correct
18 Correct 11 ms 23816 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 12 ms 23792 KB Output is correct
21 Correct 12 ms 23820 KB Output is correct
22 Correct 13 ms 23768 KB Output is correct
23 Correct 12 ms 23848 KB Output is correct
24 Correct 12 ms 23792 KB Output is correct
25 Correct 12 ms 23824 KB Output is correct
26 Correct 76 ms 39512 KB Output is correct
27 Correct 101 ms 39188 KB Output is correct
28 Correct 13 ms 24276 KB Output is correct
29 Correct 12 ms 23824 KB Output is correct
30 Correct 13 ms 23804 KB Output is correct
31 Correct 97 ms 39176 KB Output is correct
32 Correct 13 ms 24276 KB Output is correct
33 Correct 145 ms 46344 KB Output is correct
34 Correct 106 ms 39212 KB Output is correct
35 Correct 14 ms 24276 KB Output is correct
36 Correct 105 ms 39856 KB Output is correct
37 Correct 14 ms 24360 KB Output is correct
38 Correct 13 ms 24276 KB Output is correct
39 Correct 78 ms 39440 KB Output is correct
40 Correct 16 ms 24532 KB Output is correct
41 Correct 110 ms 39116 KB Output is correct
42 Correct 110 ms 41460 KB Output is correct
43 Correct 13 ms 23892 KB Output is correct
44 Correct 124 ms 46632 KB Output is correct
45 Correct 119 ms 42924 KB Output is correct
46 Correct 14 ms 24276 KB Output is correct
47 Correct 14 ms 24224 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 38064 KB Output is correct
2 Correct 85 ms 41424 KB Output is correct
3 Correct 13 ms 24312 KB Output is correct
4 Correct 14 ms 24288 KB Output is correct
5 Correct 12 ms 23844 KB Output is correct
6 Correct 12 ms 23812 KB Output is correct
7 Correct 16 ms 24332 KB Output is correct
8 Correct 115 ms 40692 KB Output is correct
9 Correct 16 ms 24276 KB Output is correct
10 Correct 96 ms 39352 KB Output is correct
11 Correct 12 ms 23892 KB Output is correct
12 Correct 105 ms 39324 KB Output is correct
13 Correct 119 ms 40828 KB Output is correct
14 Correct 108 ms 42344 KB Output is correct
15 Correct 72 ms 39460 KB Output is correct
16 Correct 13 ms 24312 KB Output is correct
17 Correct 11 ms 23828 KB Output is correct
18 Correct 100 ms 42880 KB Output is correct
19 Correct 172 ms 45944 KB Output is correct
20 Correct 14 ms 24340 KB Output is correct
21 Correct 12 ms 23892 KB Output is correct
22 Correct 85 ms 41116 KB Output is correct
23 Correct 13 ms 24276 KB Output is correct
24 Correct 103 ms 39960 KB Output is correct
25 Correct 137 ms 44768 KB Output is correct
26 Correct 14 ms 24404 KB Output is correct
27 Correct 13 ms 24448 KB Output is correct
28 Correct 16 ms 24276 KB Output is correct
29 Correct 13 ms 24276 KB Output is correct
30 Correct 13 ms 24348 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 11 ms 23792 KB Output is correct
3 Correct 12 ms 23792 KB Output is correct
4 Correct 12 ms 23784 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 14 ms 23868 KB Output is correct
7 Correct 12 ms 23828 KB Output is correct
8 Correct 12 ms 23856 KB Output is correct
9 Correct 15 ms 23808 KB Output is correct
10 Correct 13 ms 23872 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23888 KB Output is correct
13 Correct 13 ms 23860 KB Output is correct
14 Correct 13 ms 23816 KB Output is correct
15 Correct 14 ms 23764 KB Output is correct
16 Correct 11 ms 23768 KB Output is correct
17 Correct 11 ms 23764 KB Output is correct
18 Correct 11 ms 23816 KB Output is correct
19 Correct 12 ms 23808 KB Output is correct
20 Correct 12 ms 23792 KB Output is correct
21 Correct 12 ms 23820 KB Output is correct
22 Correct 13 ms 23768 KB Output is correct
23 Correct 12 ms 23848 KB Output is correct
24 Correct 12 ms 23792 KB Output is correct
25 Correct 11 ms 23764 KB Output is correct
26 Correct 15 ms 24344 KB Output is correct
27 Correct 13 ms 24308 KB Output is correct
28 Correct 13 ms 24416 KB Output is correct
29 Correct 14 ms 24320 KB Output is correct
30 Correct 13 ms 24280 KB Output is correct
31 Correct 14 ms 23880 KB Output is correct
32 Correct 13 ms 24532 KB Output is correct
33 Correct 11 ms 23764 KB Output is correct
34 Correct 13 ms 24280 KB Output is correct
35 Correct 14 ms 24404 KB Output is correct
36 Correct 16 ms 24216 KB Output is correct
37 Correct 13 ms 24276 KB Output is correct
38 Correct 12 ms 23800 KB Output is correct
39 Correct 14 ms 24276 KB Output is correct
40 Correct 14 ms 24312 KB Output is correct
41 Correct 15 ms 24432 KB Output is correct
42 Correct 15 ms 24352 KB Output is correct
43 Correct 17 ms 24532 KB Output is correct
44 Correct 13 ms 23892 KB Output is correct
45 Correct 17 ms 24404 KB Output is correct
46 Correct 14 ms 24276 KB Output is correct
47 Correct 12 ms 23796 KB Output is correct
48 Correct 13 ms 24340 KB Output is correct
49 Correct 13 ms 24344 KB Output is correct
50 Correct 13 ms 24404 KB Output is correct
51 Correct 13 ms 24268 KB Output is correct
52 Correct 13 ms 24344 KB Output is correct
53 Correct 13 ms 24352 KB Output is correct
54 Correct 13 ms 24276 KB Output is correct
55 Correct 12 ms 23824 KB Output is correct
56 Correct 76 ms 39512 KB Output is correct
57 Correct 101 ms 39188 KB Output is correct
58 Correct 13 ms 24276 KB Output is correct
59 Correct 12 ms 23824 KB Output is correct
60 Correct 13 ms 23804 KB Output is correct
61 Correct 97 ms 39176 KB Output is correct
62 Correct 13 ms 24276 KB Output is correct
63 Correct 145 ms 46344 KB Output is correct
64 Correct 106 ms 39212 KB Output is correct
65 Correct 14 ms 24276 KB Output is correct
66 Correct 105 ms 39856 KB Output is correct
67 Correct 14 ms 24360 KB Output is correct
68 Correct 13 ms 24276 KB Output is correct
69 Correct 78 ms 39440 KB Output is correct
70 Correct 16 ms 24532 KB Output is correct
71 Correct 110 ms 39116 KB Output is correct
72 Correct 110 ms 41460 KB Output is correct
73 Correct 13 ms 23892 KB Output is correct
74 Correct 124 ms 46632 KB Output is correct
75 Correct 119 ms 42924 KB Output is correct
76 Correct 14 ms 24276 KB Output is correct
77 Correct 14 ms 24224 KB Output is correct
78 Correct 71 ms 38064 KB Output is correct
79 Correct 85 ms 41424 KB Output is correct
80 Correct 13 ms 24312 KB Output is correct
81 Correct 14 ms 24288 KB Output is correct
82 Correct 12 ms 23844 KB Output is correct
83 Correct 12 ms 23812 KB Output is correct
84 Correct 16 ms 24332 KB Output is correct
85 Correct 115 ms 40692 KB Output is correct
86 Correct 16 ms 24276 KB Output is correct
87 Correct 96 ms 39352 KB Output is correct
88 Correct 12 ms 23892 KB Output is correct
89 Correct 105 ms 39324 KB Output is correct
90 Correct 119 ms 40828 KB Output is correct
91 Correct 108 ms 42344 KB Output is correct
92 Correct 72 ms 39460 KB Output is correct
93 Correct 13 ms 24312 KB Output is correct
94 Correct 11 ms 23828 KB Output is correct
95 Correct 100 ms 42880 KB Output is correct
96 Correct 172 ms 45944 KB Output is correct
97 Correct 14 ms 24340 KB Output is correct
98 Correct 12 ms 23892 KB Output is correct
99 Correct 85 ms 41116 KB Output is correct
100 Correct 13 ms 24276 KB Output is correct
101 Correct 103 ms 39960 KB Output is correct
102 Correct 137 ms 44768 KB Output is correct
103 Correct 14 ms 24404 KB Output is correct
104 Correct 13 ms 24448 KB Output is correct
105 Correct 16 ms 24276 KB Output is correct
106 Correct 13 ms 24276 KB Output is correct
107 Correct 13 ms 24348 KB Output is correct
108 Correct 615 ms 109664 KB Output is correct
109 Correct 827 ms 118644 KB Output is correct
110 Correct 874 ms 129768 KB Output is correct
111 Correct 969 ms 139584 KB Output is correct
112 Correct 964 ms 130884 KB Output is correct
113 Correct 629 ms 119320 KB Output is correct
114 Correct 698 ms 100488 KB Output is correct
115 Correct 716 ms 100536 KB Output is correct
116 Correct 779 ms 105228 KB Output is correct
117 Correct 822 ms 117980 KB Output is correct
118 Correct 649 ms 101096 KB Output is correct
119 Correct 799 ms 117888 KB Output is correct
120 Correct 925 ms 130436 KB Output is correct
121 Correct 782 ms 117800 KB Output is correct
122 Correct 832 ms 111448 KB Output is correct
123 Correct 533 ms 121000 KB Output is correct
124 Correct 934 ms 114684 KB Output is correct