oj.uz

Submission #482955

# Submission time Handle Problem Language Result Execution time Memory
482955 2021-10-27T04:30:58 Z PoPularPlusPlus Mergers (JOI19_mergers) C++17
100 / 100
 1157 ms 177940 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long 
#define pb(e) push_back(e)
#define sv(a) sort(a.begin(),a.end())
#define sa(a,n) sort(a,a+n)
#define mp(a,b) make_pair(a,b)
#define vf first
#define vs second
#define ar array
#define all(x) x.begin(),x.end()
const int inf = 0x3f3f3f3f;
const int mod = 1000000007; 
const double PI=3.14159265358979323846264338327950288419716939937510582097494459230;
bool remender(ll a , ll b){return a%b;}

const int N = 500002 , l = 25;
vector<int> adj[N];
int timer;
int tin[N], tout[N];
int up[N][l + 5];
int cnt[N];

void dfs(int v, int p){
    tin[v] = ++timer;
    up[v][0] = p;
    for (int i = 1; i <= l; ++i)
        up[v][i] = up[up[v][i-1]][i-1];

    for (int u : adj[v]) {
        if (u != p)
            dfs(u, v);
    }

    tout[v] = ++timer;
}

bool is_ancestor(int u, int v){
    return tin[u] <= tin[v] && tout[u] >= tout[v];
}

int lca(int u, int v){
    if (is_ancestor(u, v))
        return u;
    if (is_ancestor(v, u))
        return v;
    for (int i = l; i >= 0; --i) {
        if (!is_ancestor(up[u][i], v))
            u = up[u][i];
    }
    return up[u][0];
}

struct UFDS {

int p[N],siz[N];

void init(int n){
	for(int i = 0; i <= n; i++){
		p[i] = i;
		siz[i] = 1;
	}
}

int get(int x){
	return p[x]=(x==p[x] ? x : get(p[x]));
}

void unio(int u , int v){
	int a = get(u);
	int b=get(v);
	if(a==b)return;
	if(siz[a]>siz[b])swap(a,b);
	p[b]=a;
	siz[a]+=siz[b];
}
};

UFDS d;

void dfs1(int node , int par = -1){
	for(int i : adj[node]){
		if(i!=par){
			dfs1(i,node);
			if(cnt[i] != 0)d.unio(i , node);
			cnt[node] += cnt[i];
		}
	}
}

bool cmp(int x , int y){
	return tin[x] < tin[y];
}

void solve(){
	int n;
	cin >> n;
	d.init(n + 2);
	int k;
	cin >> k;
	for(int i = 0; i < n-1; i++){
		int a , b;
		cin >> a >> b;
		adj[a].pb(b);
		adj[b].pb(a);
	}
	vector<int> t[k + 1];
	for(int i = 0; i < n; i++){
		int x;
		cin >> x;
		t[x].pb(i + 1);
	}
	memset(cnt,0,sizeof cnt);
	dfs(1,1);
	for(int i = 1; i <= k; i++){
		sort(all(t[i]),cmp);
		for(int j = 0; j < (int)t[i].size(); j++){
			int lc = lca(t[i][j] , t[i][(j+1)%t[i].size()]);
			cnt[lc]-=2;
			cnt[t[i][j]]++;
			cnt[t[i][(j+1)%t[i].size()]]++;
		}
	}
	dfs1(1,-1);
	vector<int> leaf(n+1,0);
	for(int i = 1; i <= n; i++){
		for(int j : adj[i]){
			if(d.get(i) != d.get(j))leaf[d.get(i)]++,leaf[d.get(j)]++;
		}
	}
	int ans = 0;
	for(int i = 1; i <= n; i++){
		if(leaf[i] == 2)ans++;
	}
	cout << (ans + 1)/2 << '\n';
}

int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
	//int t;cin >> t;while(t--)
	solve();
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14028 KB Output is correct
2 Correct 7 ms 14028 KB Output is correct
3 Correct 7 ms 14044 KB Output is correct
4 Correct 7 ms 14048 KB Output is correct
5 Correct 7 ms 14028 KB Output is correct
6 Correct 7 ms 14008 KB Output is correct
7 Correct 7 ms 14028 KB Output is correct
8 Correct 7 ms 13984 KB Output is correct
9 Correct 8 ms 14028 KB Output is correct
10 Correct 7 ms 13984 KB Output is correct
11 Correct 7 ms 14028 KB Output is correct
12 Correct 7 ms 14028 KB Output is correct
13 Correct 7 ms 14028 KB Output is correct
14 Correct 7 ms 14028 KB Output is correct
15 Correct 8 ms 14056 KB Output is correct
16 Correct 7 ms 14028 KB Output is correct
17 Correct 8 ms 14028 KB Output is correct
18 Correct 8 ms 14028 KB Output is correct
19 Correct 7 ms 13980 KB Output is correct
20 Correct 7 ms 14028 KB Output is correct
21 Correct 7 ms 14028 KB Output is correct
22 Correct 7 ms 14028 KB Output is correct
23 Correct 7 ms 14028 KB Output is correct
24 Correct 7 ms 14028 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14028 KB Output is correct
2 Correct 7 ms 14028 KB Output is correct
3 Correct 7 ms 14044 KB Output is correct
4 Correct 7 ms 14048 KB Output is correct
5 Correct 7 ms 14028 KB Output is correct
6 Correct 7 ms 14008 KB Output is correct
7 Correct 7 ms 14028 KB Output is correct
8 Correct 7 ms 13984 KB Output is correct
9 Correct 8 ms 14028 KB Output is correct
10 Correct 7 ms 13984 KB Output is correct
11 Correct 7 ms 14028 KB Output is correct
12 Correct 7 ms 14028 KB Output is correct
13 Correct 7 ms 14028 KB Output is correct
14 Correct 7 ms 14028 KB Output is correct
15 Correct 8 ms 14056 KB Output is correct
16 Correct 7 ms 14028 KB Output is correct
17 Correct 8 ms 14028 KB Output is correct
18 Correct 8 ms 14028 KB Output is correct
19 Correct 7 ms 13980 KB Output is correct
20 Correct 7 ms 14028 KB Output is correct
21 Correct 7 ms 14028 KB Output is correct
22 Correct 7 ms 14028 KB Output is correct
23 Correct 7 ms 14028 KB Output is correct
24 Correct 7 ms 14028 KB Output is correct
25 Correct 7 ms 13984 KB Output is correct
26 Correct 10 ms 14608 KB Output is correct
27 Correct 9 ms 14540 KB Output is correct
28 Correct 9 ms 14960 KB Output is correct
29 Correct 9 ms 14668 KB Output is correct
30 Correct 10 ms 14540 KB Output is correct
31 Correct 8 ms 13960 KB Output is correct
32 Correct 10 ms 15052 KB Output is correct
33 Correct 7 ms 14028 KB Output is correct
34 Correct 13 ms 14540 KB Output is correct
35 Correct 10 ms 14764 KB Output is correct
36 Correct 10 ms 14620 KB Output is correct
37 Correct 10 ms 14636 KB Output is correct
38 Correct 7 ms 14028 KB Output is correct
39 Correct 10 ms 14608 KB Output is correct
40 Correct 9 ms 14540 KB Output is correct
41 Correct 9 ms 14540 KB Output is correct
42 Correct 9 ms 14684 KB Output is correct
43 Correct 9 ms 14924 KB Output is correct
44 Correct 7 ms 14028 KB Output is correct
45 Correct 9 ms 14796 KB Output is correct
46 Correct 9 ms 14668 KB Output is correct
47 Correct 7 ms 14028 KB Output is correct
48 Correct 10 ms 14628 KB Output is correct
49 Correct 9 ms 14668 KB Output is correct
50 Correct 9 ms 14796 KB Output is correct
51 Correct 10 ms 14644 KB Output is correct
52 Correct 10 ms 14588 KB Output is correct
53 Correct 10 ms 14636 KB Output is correct
54 Correct 9 ms 14508 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14028 KB Output is correct
2 Correct 7 ms 14028 KB Output is correct
3 Correct 7 ms 14044 KB Output is correct
4 Correct 7 ms 14048 KB Output is correct
5 Correct 7 ms 14028 KB Output is correct
6 Correct 7 ms 14008 KB Output is correct
7 Correct 7 ms 14028 KB Output is correct
8 Correct 7 ms 13984 KB Output is correct
9 Correct 8 ms 14028 KB Output is correct
10 Correct 7 ms 13984 KB Output is correct
11 Correct 7 ms 14028 KB Output is correct
12 Correct 7 ms 14028 KB Output is correct
13 Correct 7 ms 14028 KB Output is correct
14 Correct 7 ms 14028 KB Output is correct
15 Correct 8 ms 14056 KB Output is correct
16 Correct 7 ms 14028 KB Output is correct
17 Correct 8 ms 14028 KB Output is correct
18 Correct 8 ms 14028 KB Output is correct
19 Correct 7 ms 13980 KB Output is correct
20 Correct 7 ms 14028 KB Output is correct
21 Correct 7 ms 14028 KB Output is correct
22 Correct 7 ms 14028 KB Output is correct
23 Correct 7 ms 14028 KB Output is correct
24 Correct 7 ms 14028 KB Output is correct
25 Correct 7 ms 14028 KB Output is correct
26 Correct 111 ms 33716 KB Output is correct
27 Correct 136 ms 32844 KB Output is correct
28 Correct 9 ms 14540 KB Output is correct
29 Correct 7 ms 14028 KB Output is correct
30 Correct 7 ms 14028 KB Output is correct
31 Correct 142 ms 32856 KB Output is correct
32 Correct 10 ms 14572 KB Output is correct
33 Correct 137 ms 45900 KB Output is correct
34 Correct 148 ms 33064 KB Output is correct
35 Correct 10 ms 14572 KB Output is correct
36 Correct 131 ms 34376 KB Output is correct
37 Correct 9 ms 14540 KB Output is correct
38 Correct 9 ms 14540 KB Output is correct
39 Correct 105 ms 33724 KB Output is correct
40 Correct 10 ms 14924 KB Output is correct
41 Correct 133 ms 32812 KB Output is correct
42 Correct 145 ms 37156 KB Output is correct
43 Correct 7 ms 14028 KB Output is correct
44 Correct 157 ms 46264 KB Output is correct
45 Correct 164 ms 39620 KB Output is correct
46 Correct 9 ms 14636 KB Output is correct
47 Correct 9 ms 14608 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 32208 KB Output is correct
2 Correct 87 ms 36668 KB Output is correct
3 Correct 9 ms 14668 KB Output is correct
4 Correct 10 ms 14548 KB Output is correct
5 Correct 7 ms 14028 KB Output is correct
6 Correct 7 ms 14028 KB Output is correct
7 Correct 10 ms 14540 KB Output is correct
8 Correct 140 ms 35428 KB Output is correct
9 Correct 9 ms 14540 KB Output is correct
10 Correct 125 ms 33124 KB Output is correct
11 Correct 8 ms 13984 KB Output is correct
12 Correct 121 ms 33104 KB Output is correct
13 Correct 154 ms 35324 KB Output is correct
14 Correct 120 ms 38192 KB Output is correct
15 Correct 103 ms 33724 KB Output is correct
16 Correct 9 ms 14668 KB Output is correct
17 Correct 7 ms 14028 KB Output is correct
18 Correct 95 ms 37972 KB Output is correct
19 Correct 147 ms 45252 KB Output is correct
20 Correct 10 ms 14668 KB Output is correct
21 Correct 7 ms 14028 KB Output is correct
22 Correct 114 ms 36772 KB Output is correct
23 Correct 10 ms 14540 KB Output is correct
24 Correct 116 ms 33572 KB Output is correct
25 Correct 167 ms 42932 KB Output is correct
26 Correct 9 ms 14668 KB Output is correct
27 Correct 10 ms 14796 KB Output is correct
28 Correct 12 ms 14540 KB Output is correct
29 Correct 10 ms 14636 KB Output is correct
30 Correct 10 ms 14668 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14028 KB Output is correct
2 Correct 7 ms 14028 KB Output is correct
3 Correct 7 ms 14044 KB Output is correct
4 Correct 7 ms 14048 KB Output is correct
5 Correct 7 ms 14028 KB Output is correct
6 Correct 7 ms 14008 KB Output is correct
7 Correct 7 ms 14028 KB Output is correct
8 Correct 7 ms 13984 KB Output is correct
9 Correct 8 ms 14028 KB Output is correct
10 Correct 7 ms 13984 KB Output is correct
11 Correct 7 ms 14028 KB Output is correct
12 Correct 7 ms 14028 KB Output is correct
13 Correct 7 ms 14028 KB Output is correct
14 Correct 7 ms 14028 KB Output is correct
15 Correct 8 ms 14056 KB Output is correct
16 Correct 7 ms 14028 KB Output is correct
17 Correct 8 ms 14028 KB Output is correct
18 Correct 8 ms 14028 KB Output is correct
19 Correct 7 ms 13980 KB Output is correct
20 Correct 7 ms 14028 KB Output is correct
21 Correct 7 ms 14028 KB Output is correct
22 Correct 7 ms 14028 KB Output is correct
23 Correct 7 ms 14028 KB Output is correct
24 Correct 7 ms 14028 KB Output is correct
25 Correct 7 ms 13984 KB Output is correct
26 Correct 10 ms 14608 KB Output is correct
27 Correct 9 ms 14540 KB Output is correct
28 Correct 9 ms 14960 KB Output is correct
29 Correct 9 ms 14668 KB Output is correct
30 Correct 10 ms 14540 KB Output is correct
31 Correct 8 ms 13960 KB Output is correct
32 Correct 10 ms 15052 KB Output is correct
33 Correct 7 ms 14028 KB Output is correct
34 Correct 13 ms 14540 KB Output is correct
35 Correct 10 ms 14764 KB Output is correct
36 Correct 10 ms 14620 KB Output is correct
37 Correct 10 ms 14636 KB Output is correct
38 Correct 7 ms 14028 KB Output is correct
39 Correct 10 ms 14608 KB Output is correct
40 Correct 9 ms 14540 KB Output is correct
41 Correct 9 ms 14540 KB Output is correct
42 Correct 9 ms 14684 KB Output is correct
43 Correct 9 ms 14924 KB Output is correct
44 Correct 7 ms 14028 KB Output is correct
45 Correct 9 ms 14796 KB Output is correct
46 Correct 9 ms 14668 KB Output is correct
47 Correct 7 ms 14028 KB Output is correct
48 Correct 10 ms 14628 KB Output is correct
49 Correct 9 ms 14668 KB Output is correct
50 Correct 9 ms 14796 KB Output is correct
51 Correct 10 ms 14644 KB Output is correct
52 Correct 10 ms 14588 KB Output is correct
53 Correct 10 ms 14636 KB Output is correct
54 Correct 9 ms 14508 KB Output is correct
55 Correct 7 ms 14028 KB Output is correct
56 Correct 111 ms 33716 KB Output is correct
57 Correct 136 ms 32844 KB Output is correct
58 Correct 9 ms 14540 KB Output is correct
59 Correct 7 ms 14028 KB Output is correct
60 Correct 7 ms 14028 KB Output is correct
61 Correct 142 ms 32856 KB Output is correct
62 Correct 10 ms 14572 KB Output is correct
63 Correct 137 ms 45900 KB Output is correct
64 Correct 148 ms 33064 KB Output is correct
65 Correct 10 ms 14572 KB Output is correct
66 Correct 131 ms 34376 KB Output is correct
67 Correct 9 ms 14540 KB Output is correct
68 Correct 9 ms 14540 KB Output is correct
69 Correct 105 ms 33724 KB Output is correct
70 Correct 10 ms 14924 KB Output is correct
71 Correct 133 ms 32812 KB Output is correct
72 Correct 145 ms 37156 KB Output is correct
73 Correct 7 ms 14028 KB Output is correct
74 Correct 157 ms 46264 KB Output is correct
75 Correct 164 ms 39620 KB Output is correct
76 Correct 9 ms 14636 KB Output is correct
77 Correct 9 ms 14608 KB Output is correct
78 Correct 104 ms 32208 KB Output is correct
79 Correct 87 ms 36668 KB Output is correct
80 Correct 9 ms 14668 KB Output is correct
81 Correct 10 ms 14548 KB Output is correct
82 Correct 7 ms 14028 KB Output is correct
83 Correct 7 ms 14028 KB Output is correct
84 Correct 10 ms 14540 KB Output is correct
85 Correct 140 ms 35428 KB Output is correct
86 Correct 9 ms 14540 KB Output is correct
87 Correct 125 ms 33124 KB Output is correct
88 Correct 8 ms 13984 KB Output is correct
89 Correct 121 ms 33104 KB Output is correct
90 Correct 154 ms 35324 KB Output is correct
91 Correct 120 ms 38192 KB Output is correct
92 Correct 103 ms 33724 KB Output is correct
93 Correct 9 ms 14668 KB Output is correct
94 Correct 7 ms 14028 KB Output is correct
95 Correct 95 ms 37972 KB Output is correct
96 Correct 147 ms 45252 KB Output is correct
97 Correct 10 ms 14668 KB Output is correct
98 Correct 7 ms 14028 KB Output is correct
99 Correct 114 ms 36772 KB Output is correct
100 Correct 10 ms 14540 KB Output is correct
101 Correct 116 ms 33572 KB Output is correct
102 Correct 167 ms 42932 KB Output is correct
103 Correct 9 ms 14668 KB Output is correct
104 Correct 10 ms 14796 KB Output is correct
105 Correct 12 ms 14540 KB Output is correct
106 Correct 10 ms 14636 KB Output is correct
107 Correct 10 ms 14668 KB Output is correct
108 Correct 770 ms 124216 KB Output is correct
109 Correct 1139 ms 141148 KB Output is correct
110 Correct 1112 ms 161332 KB Output is correct
111 Correct 1157 ms 177940 KB Output is correct
112 Correct 1126 ms 160504 KB Output is correct
113 Correct 737 ms 135464 KB Output is correct
114 Correct 893 ms 108536 KB Output is correct
115 Correct 919 ms 108496 KB Output is correct
116 Correct 1095 ms 115396 KB Output is correct
117 Correct 889 ms 136036 KB Output is correct
118 Correct 919 ms 108612 KB Output is correct
119 Correct 912 ms 136104 KB Output is correct
120 Correct 1116 ms 161604 KB Output is correct
121 Correct 889 ms 136116 KB Output is correct
122 Correct 1020 ms 125008 KB Output is correct
123 Correct 675 ms 137652 KB Output is correct
124 Correct 1071 ms 133716 KB Output is correct