oj.uz

Submission #102381

# Submission time Handle Problem Language Result Execution time Memory
102381 2019-03-24T14:51:23 Z Dat160601 Mergers (JOI19_mergers) C++17
70 / 100
 3000 ms 208660 KB 
#include <bits/stdc++.h>
using namespace std;
#define mp make_pair
#define pb push_back
#define fi first
#define se second

const int N = 5e5 + 7;

int n, k, u, v, s[N], level[N], sub[N], par[20][N], cnt = 0, pset[N], ret[N], sz[N], ans = 0;
bool vis[N], col[N];
vector <int> edge[N], tp[N], g[N], leaf;
map < pair <int, int>, int > ed;

void predfs(int u, int p){
	int ch = 0;
	for(int v : edge[u]){
		if(v == p) continue;
		par[0][v] = u;
		level[v] = level[u] + 1;
		predfs(v, u);
		ch++;
	}
	if(ch == 0) leaf.pb(u);
}

int lca(int u, int v){
	if(level[u] > level[v]) swap(u, v);
	for(int i = 19; i >= 0; i--) if(level[par[i][v]] >= level[u]) v = par[i][v];
	for(int i = 19; i >= 0; i--) if(par[i][u] != par[i][v]) u = par[i][u], v = par[i][v];
	if(u == v) return u;
	return par[0][u];
}

int fset(int x){
	if(pset[x] == x) return x;
	return pset[x] = fset(pset[x]);
}

void unionset(int u, int v){
	u = fset(u), v = fset(v);
	if(u == v) return;
	pset[u] = v;
	sz[v] += sz[u];
	sz[u] = 0;
}

void dfs(int u, int p){
	int child = 0;
	for(int v : g[u]){
		if(v == p) continue;
		child ++;
		dfs(v, u);
	}
	if(child == 0 || (child == 1 && u == 1)) ans++;
}

int main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	cin >> n >> k;
	for(int i = 1; i < n; i++){
		cin >> u >> v;
		edge[u].pb(v);
		edge[v].pb(u);
	}
	for(int i = 1; i <= n; i++){
		cin >> s[i];
		tp[s[i]].pb(i);
	}
	par[0][1] = 1;
	level[1] = 1;
	predfs(1, 1);
	for(int i = 1; i <= 19; i++){
		for(int j = 1; j <= n; j++){
			par[i][j] = par[i - 1][par[i - 1][j]];
		}
	}
	for(int i = 1; i <= k; i++){
		pset[i] = i;
		sz[i] = 1;
		if(tp[i].empty()) continue;
		int cur = tp[i][0];
		for(int j = 1; j < (int)tp[i].size(); j++){
			cur = lca(cur, tp[i][j]);
		}
		sub[cur]++;
	}
	priority_queue < pair <int, int> > q;
	for(int x : leaf) vis[x] = true, q.push(mp(level[x], x));
	while(!q.empty()){
		int u = q.top().se;
		q.pop();
		int p = fset(s[u]);
		sz[p] -= sub[u];
		if(!vis[par[0][u]]){
			vis[par[0][u]] = true;
			q.push(mp(level[par[0][u]], par[0][u]));
		}
		if(sz[fset(p)] == 0) continue;
		unionset(p, s[par[0][u]]);
	}
	for(int i = 1; i <= k; i++){
		if(pset[i] == i) ret[i] = ++cnt;
	}
	for(int i = 1; i <= k; i++){
		if(pset[i] != i) ret[i] = ret[fset(i)];
	}
	for(int i = 1; i <= n; i++){
		int id = ret[s[i]];
		for(int j : edge[i]){
			int jd = ret[s[j]];
			if(id == jd) continue;
			if(ed.count(mp(id, jd))) continue;
			g[id].pb(jd);
			g[jd].pb(id);
			ed[mp(id, jd)]++;
			ed[mp(jd, id)]++;
		}
	}
	dfs(1, 1);
	if(ans == 1) cout << 0;
	else cout << (ans + 1) / 2;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 35704 KB Output is correct
2 Correct 35 ms 35840 KB Output is correct
3 Correct 34 ms 35840 KB Output is correct
4 Correct 35 ms 35840 KB Output is correct
5 Correct 36 ms 35840 KB Output is correct
6 Correct 33 ms 35840 KB Output is correct
7 Correct 34 ms 35832 KB Output is correct
8 Correct 35 ms 35840 KB Output is correct
9 Correct 40 ms 35840 KB Output is correct
10 Correct 34 ms 35712 KB Output is correct
11 Correct 32 ms 35840 KB Output is correct
12 Correct 38 ms 35832 KB Output is correct
13 Correct 35 ms 35804 KB Output is correct
14 Correct 38 ms 35832 KB Output is correct
15 Correct 39 ms 35832 KB Output is correct
16 Correct 33 ms 35836 KB Output is correct
17 Correct 34 ms 35832 KB Output is correct
18 Correct 36 ms 35832 KB Output is correct
19 Correct 33 ms 35840 KB Output is correct
20 Correct 34 ms 35840 KB Output is correct
21 Correct 35 ms 35848 KB Output is correct
22 Correct 34 ms 35840 KB Output is correct
23 Correct 34 ms 35704 KB Output is correct
24 Correct 33 ms 35760 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 35704 KB Output is correct
2 Correct 35 ms 35840 KB Output is correct
3 Correct 34 ms 35840 KB Output is correct
4 Correct 35 ms 35840 KB Output is correct
5 Correct 36 ms 35840 KB Output is correct
6 Correct 33 ms 35840 KB Output is correct
7 Correct 34 ms 35832 KB Output is correct
8 Correct 35 ms 35840 KB Output is correct
9 Correct 40 ms 35840 KB Output is correct
10 Correct 34 ms 35712 KB Output is correct
11 Correct 32 ms 35840 KB Output is correct
12 Correct 38 ms 35832 KB Output is correct
13 Correct 35 ms 35804 KB Output is correct
14 Correct 38 ms 35832 KB Output is correct
15 Correct 39 ms 35832 KB Output is correct
16 Correct 33 ms 35836 KB Output is correct
17 Correct 34 ms 35832 KB Output is correct
18 Correct 36 ms 35832 KB Output is correct
19 Correct 33 ms 35840 KB Output is correct
20 Correct 34 ms 35840 KB Output is correct
21 Correct 35 ms 35848 KB Output is correct
22 Correct 34 ms 35840 KB Output is correct
23 Correct 34 ms 35704 KB Output is correct
24 Correct 33 ms 35760 KB Output is correct
25 Correct 37 ms 35832 KB Output is correct
26 Correct 39 ms 36480 KB Output is correct
27 Correct 40 ms 36240 KB Output is correct
28 Correct 39 ms 36732 KB Output is correct
29 Correct 42 ms 36856 KB Output is correct
30 Correct 39 ms 36280 KB Output is correct
31 Correct 38 ms 35840 KB Output is correct
32 Correct 38 ms 36508 KB Output is correct
33 Correct 34 ms 35840 KB Output is correct
34 Correct 37 ms 36216 KB Output is correct
35 Correct 43 ms 36728 KB Output is correct
36 Correct 38 ms 36216 KB Output is correct
37 Correct 45 ms 36216 KB Output is correct
38 Correct 36 ms 35840 KB Output is correct
39 Correct 41 ms 36224 KB Output is correct
40 Correct 37 ms 36220 KB Output is correct
41 Correct 42 ms 36132 KB Output is correct
42 Correct 38 ms 36392 KB Output is correct
43 Correct 36 ms 36336 KB Output is correct
44 Correct 34 ms 35840 KB Output is correct
45 Correct 37 ms 36352 KB Output is correct
46 Correct 37 ms 36224 KB Output is correct
47 Correct 35 ms 35832 KB Output is correct
48 Correct 37 ms 36224 KB Output is correct
49 Correct 38 ms 36856 KB Output is correct
50 Correct 41 ms 36856 KB Output is correct
51 Correct 37 ms 36220 KB Output is correct
52 Correct 38 ms 36224 KB Output is correct
53 Correct 39 ms 36352 KB Output is correct
54 Correct 44 ms 36224 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 35704 KB Output is correct
2 Correct 35 ms 35840 KB Output is correct
3 Correct 34 ms 35840 KB Output is correct
4 Correct 35 ms 35840 KB Output is correct
5 Correct 36 ms 35840 KB Output is correct
6 Correct 33 ms 35840 KB Output is correct
7 Correct 34 ms 35832 KB Output is correct
8 Correct 35 ms 35840 KB Output is correct
9 Correct 40 ms 35840 KB Output is correct
10 Correct 34 ms 35712 KB Output is correct
11 Correct 32 ms 35840 KB Output is correct
12 Correct 38 ms 35832 KB Output is correct
13 Correct 35 ms 35804 KB Output is correct
14 Correct 38 ms 35832 KB Output is correct
15 Correct 39 ms 35832 KB Output is correct
16 Correct 33 ms 35836 KB Output is correct
17 Correct 34 ms 35832 KB Output is correct
18 Correct 36 ms 35832 KB Output is correct
19 Correct 33 ms 35840 KB Output is correct
20 Correct 34 ms 35840 KB Output is correct
21 Correct 35 ms 35848 KB Output is correct
22 Correct 34 ms 35840 KB Output is correct
23 Correct 34 ms 35704 KB Output is correct
24 Correct 33 ms 35760 KB Output is correct
25 Correct 39 ms 35836 KB Output is correct
26 Correct 236 ms 50048 KB Output is correct
27 Correct 334 ms 49008 KB Output is correct
28 Correct 33 ms 36224 KB Output is correct
29 Correct 30 ms 35840 KB Output is correct
30 Correct 31 ms 35840 KB Output is correct
31 Correct 226 ms 49284 KB Output is correct
32 Correct 36 ms 36344 KB Output is correct
33 Correct 158 ms 53852 KB Output is correct
34 Correct 382 ms 49152 KB Output is correct
35 Correct 42 ms 36216 KB Output is correct
36 Correct 388 ms 49032 KB Output is correct
37 Correct 42 ms 36216 KB Output is correct
38 Correct 38 ms 36220 KB Output is correct
39 Correct 352 ms 50064 KB Output is correct
40 Correct 42 ms 36344 KB Output is correct
41 Correct 207 ms 49368 KB Output is correct
42 Correct 245 ms 50076 KB Output is correct
43 Correct 39 ms 35832 KB Output is correct
44 Correct 231 ms 54220 KB Output is correct
45 Correct 185 ms 51972 KB Output is correct
46 Correct 36 ms 36224 KB Output is correct
47 Correct 38 ms 36216 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 50260 KB Output is correct
2 Correct 625 ms 70088 KB Output is correct
3 Correct 41 ms 36472 KB Output is correct
4 Correct 40 ms 36224 KB Output is correct
5 Correct 36 ms 35840 KB Output is correct
6 Correct 38 ms 35840 KB Output is correct
7 Correct 37 ms 36216 KB Output is correct
8 Correct 524 ms 52752 KB Output is correct
9 Correct 37 ms 36216 KB Output is correct
10 Correct 424 ms 49468 KB Output is correct
11 Correct 33 ms 35840 KB Output is correct
12 Correct 402 ms 48804 KB Output is correct
13 Correct 501 ms 54000 KB Output is correct
14 Correct 599 ms 69020 KB Output is correct
15 Correct 322 ms 50068 KB Output is correct
16 Correct 38 ms 36352 KB Output is correct
17 Correct 41 ms 35832 KB Output is correct
18 Correct 449 ms 66308 KB Output is correct
19 Correct 551 ms 72288 KB Output is correct
20 Correct 37 ms 36216 KB Output is correct
21 Correct 35 ms 35832 KB Output is correct
22 Correct 473 ms 54676 KB Output is correct
23 Correct 37 ms 36176 KB Output is correct
24 Correct 456 ms 50732 KB Output is correct
25 Correct 503 ms 70680 KB Output is correct
26 Correct 44 ms 36856 KB Output is correct
27 Correct 43 ms 36864 KB Output is correct
28 Correct 41 ms 36344 KB Output is correct
29 Correct 44 ms 36216 KB Output is correct
30 Correct 45 ms 36472 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 35704 KB Output is correct
2 Correct 35 ms 35840 KB Output is correct
3 Correct 34 ms 35840 KB Output is correct
4 Correct 35 ms 35840 KB Output is correct
5 Correct 36 ms 35840 KB Output is correct
6 Correct 33 ms 35840 KB Output is correct
7 Correct 34 ms 35832 KB Output is correct
8 Correct 35 ms 35840 KB Output is correct
9 Correct 40 ms 35840 KB Output is correct
10 Correct 34 ms 35712 KB Output is correct
11 Correct 32 ms 35840 KB Output is correct
12 Correct 38 ms 35832 KB Output is correct
13 Correct 35 ms 35804 KB Output is correct
14 Correct 38 ms 35832 KB Output is correct
15 Correct 39 ms 35832 KB Output is correct
16 Correct 33 ms 35836 KB Output is correct
17 Correct 34 ms 35832 KB Output is correct
18 Correct 36 ms 35832 KB Output is correct
19 Correct 33 ms 35840 KB Output is correct
20 Correct 34 ms 35840 KB Output is correct
21 Correct 35 ms 35848 KB Output is correct
22 Correct 34 ms 35840 KB Output is correct
23 Correct 34 ms 35704 KB Output is correct
24 Correct 33 ms 35760 KB Output is correct
25 Correct 37 ms 35832 KB Output is correct
26 Correct 39 ms 36480 KB Output is correct
27 Correct 40 ms 36240 KB Output is correct
28 Correct 39 ms 36732 KB Output is correct
29 Correct 42 ms 36856 KB Output is correct
30 Correct 39 ms 36280 KB Output is correct
31 Correct 38 ms 35840 KB Output is correct
32 Correct 38 ms 36508 KB Output is correct
33 Correct 34 ms 35840 KB Output is correct
34 Correct 37 ms 36216 KB Output is correct
35 Correct 43 ms 36728 KB Output is correct
36 Correct 38 ms 36216 KB Output is correct
37 Correct 45 ms 36216 KB Output is correct
38 Correct 36 ms 35840 KB Output is correct
39 Correct 41 ms 36224 KB Output is correct
40 Correct 37 ms 36220 KB Output is correct
41 Correct 42 ms 36132 KB Output is correct
42 Correct 38 ms 36392 KB Output is correct
43 Correct 36 ms 36336 KB Output is correct
44 Correct 34 ms 35840 KB Output is correct
45 Correct 37 ms 36352 KB Output is correct
46 Correct 37 ms 36224 KB Output is correct
47 Correct 35 ms 35832 KB Output is correct
48 Correct 37 ms 36224 KB Output is correct
49 Correct 38 ms 36856 KB Output is correct
50 Correct 41 ms 36856 KB Output is correct
51 Correct 37 ms 36220 KB Output is correct
52 Correct 38 ms 36224 KB Output is correct
53 Correct 39 ms 36352 KB Output is correct
54 Correct 44 ms 36224 KB Output is correct
55 Correct 39 ms 35836 KB Output is correct
56 Correct 236 ms 50048 KB Output is correct
57 Correct 334 ms 49008 KB Output is correct
58 Correct 33 ms 36224 KB Output is correct
59 Correct 30 ms 35840 KB Output is correct
60 Correct 31 ms 35840 KB Output is correct
61 Correct 226 ms 49284 KB Output is correct
62 Correct 36 ms 36344 KB Output is correct
63 Correct 158 ms 53852 KB Output is correct
64 Correct 382 ms 49152 KB Output is correct
65 Correct 42 ms 36216 KB Output is correct
66 Correct 388 ms 49032 KB Output is correct
67 Correct 42 ms 36216 KB Output is correct
68 Correct 38 ms 36220 KB Output is correct
69 Correct 352 ms 50064 KB Output is correct
70 Correct 42 ms 36344 KB Output is correct
71 Correct 207 ms 49368 KB Output is correct
72 Correct 245 ms 50076 KB Output is correct
73 Correct 39 ms 35832 KB Output is correct
74 Correct 231 ms 54220 KB Output is correct
75 Correct 185 ms 51972 KB Output is correct
76 Correct 36 ms 36224 KB Output is correct
77 Correct 38 ms 36216 KB Output is correct
78 Correct 365 ms 50260 KB Output is correct
79 Correct 625 ms 70088 KB Output is correct
80 Correct 41 ms 36472 KB Output is correct
81 Correct 40 ms 36224 KB Output is correct
82 Correct 36 ms 35840 KB Output is correct
83 Correct 38 ms 35840 KB Output is correct
84 Correct 37 ms 36216 KB Output is correct
85 Correct 524 ms 52752 KB Output is correct
86 Correct 37 ms 36216 KB Output is correct
87 Correct 424 ms 49468 KB Output is correct
88 Correct 33 ms 35840 KB Output is correct
89 Correct 402 ms 48804 KB Output is correct
90 Correct 501 ms 54000 KB Output is correct
91 Correct 599 ms 69020 KB Output is correct
92 Correct 322 ms 50068 KB Output is correct
93 Correct 38 ms 36352 KB Output is correct
94 Correct 41 ms 35832 KB Output is correct
95 Correct 449 ms 66308 KB Output is correct
96 Correct 551 ms 72288 KB Output is correct
97 Correct 37 ms 36216 KB Output is correct
98 Correct 35 ms 35832 KB Output is correct
99 Correct 473 ms 54676 KB Output is correct
100 Correct 37 ms 36176 KB Output is correct
101 Correct 456 ms 50732 KB Output is correct
102 Correct 503 ms 70680 KB Output is correct
103 Correct 44 ms 36856 KB Output is correct
104 Correct 43 ms 36864 KB Output is correct
105 Correct 41 ms 36344 KB Output is correct
106 Correct 44 ms 36216 KB Output is correct
107 Correct 45 ms 36472 KB Output is correct
108 Correct 2586 ms 120644 KB Output is correct
109 Correct 1543 ms 111832 KB Output is correct
110 Correct 1149 ms 120884 KB Output is correct
111 Execution timed out 3041 ms 208660 KB Time limit exceeded
112 Halted 0 ms 0 KB -