oj.uz

Submission #102380

# Submission time Handle Problem Language Result Execution time Memory
102380 2019-03-24T14:50:09 Z Dat160601 Mergers (JOI19_mergers) C++17
70 / 100
 3000 ms 208220 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 >> 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 34 ms 35840 KB Output is correct
2 Correct 36 ms 35836 KB Output is correct
3 Correct 38 ms 35828 KB Output is correct
4 Correct 34 ms 35840 KB Output is correct
5 Correct 33 ms 35960 KB Output is correct
6 Correct 33 ms 35960 KB Output is correct
7 Correct 35 ms 35704 KB Output is correct
8 Correct 41 ms 35832 KB Output is correct
9 Correct 43 ms 35732 KB Output is correct
10 Correct 31 ms 35708 KB Output is correct
11 Correct 39 ms 35840 KB Output is correct
12 Correct 41 ms 35832 KB Output is correct
13 Correct 33 ms 35704 KB Output is correct
14 Correct 40 ms 35772 KB Output is correct
15 Correct 34 ms 35832 KB Output is correct
16 Correct 30 ms 35704 KB Output is correct
17 Correct 32 ms 35704 KB Output is correct
18 Correct 31 ms 35840 KB Output is correct
19 Correct 37 ms 35824 KB Output is correct
20 Correct 36 ms 35832 KB Output is correct
21 Correct 35 ms 35840 KB Output is correct
22 Correct 37 ms 35832 KB Output is correct
23 Correct 37 ms 35708 KB Output is correct
24 Correct 35 ms 35720 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 35840 KB Output is correct
2 Correct 36 ms 35836 KB Output is correct
3 Correct 38 ms 35828 KB Output is correct
4 Correct 34 ms 35840 KB Output is correct
5 Correct 33 ms 35960 KB Output is correct
6 Correct 33 ms 35960 KB Output is correct
7 Correct 35 ms 35704 KB Output is correct
8 Correct 41 ms 35832 KB Output is correct
9 Correct 43 ms 35732 KB Output is correct
10 Correct 31 ms 35708 KB Output is correct
11 Correct 39 ms 35840 KB Output is correct
12 Correct 41 ms 35832 KB Output is correct
13 Correct 33 ms 35704 KB Output is correct
14 Correct 40 ms 35772 KB Output is correct
15 Correct 34 ms 35832 KB Output is correct
16 Correct 30 ms 35704 KB Output is correct
17 Correct 32 ms 35704 KB Output is correct
18 Correct 31 ms 35840 KB Output is correct
19 Correct 37 ms 35824 KB Output is correct
20 Correct 36 ms 35832 KB Output is correct
21 Correct 35 ms 35840 KB Output is correct
22 Correct 37 ms 35832 KB Output is correct
23 Correct 37 ms 35708 KB Output is correct
24 Correct 35 ms 35720 KB Output is correct
25 Correct 32 ms 35832 KB Output is correct
26 Correct 38 ms 36472 KB Output is correct
27 Correct 42 ms 36216 KB Output is correct
28 Correct 41 ms 36700 KB Output is correct
29 Correct 38 ms 36728 KB Output is correct
30 Correct 37 ms 36224 KB Output is correct
31 Correct 33 ms 35840 KB Output is correct
32 Correct 39 ms 36480 KB Output is correct
33 Correct 35 ms 35740 KB Output is correct
34 Correct 35 ms 36216 KB Output is correct
35 Correct 41 ms 36728 KB Output is correct
36 Correct 38 ms 36216 KB Output is correct
37 Correct 37 ms 36224 KB Output is correct
38 Correct 36 ms 35832 KB Output is correct
39 Correct 32 ms 36260 KB Output is correct
40 Correct 38 ms 36236 KB Output is correct
41 Correct 44 ms 36220 KB Output is correct
42 Correct 38 ms 36348 KB Output is correct
43 Correct 37 ms 36352 KB Output is correct
44 Correct 38 ms 35832 KB Output is correct
45 Correct 39 ms 36336 KB Output is correct
46 Correct 36 ms 36348 KB Output is correct
47 Correct 39 ms 35832 KB Output is correct
48 Correct 35 ms 36216 KB Output is correct
49 Correct 42 ms 36868 KB Output is correct
50 Correct 44 ms 36856 KB Output is correct
51 Correct 40 ms 36224 KB Output is correct
52 Correct 40 ms 36216 KB Output is correct
53 Correct 41 ms 36352 KB Output is correct
54 Correct 38 ms 36268 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 35840 KB Output is correct
2 Correct 36 ms 35836 KB Output is correct
3 Correct 38 ms 35828 KB Output is correct
4 Correct 34 ms 35840 KB Output is correct
5 Correct 33 ms 35960 KB Output is correct
6 Correct 33 ms 35960 KB Output is correct
7 Correct 35 ms 35704 KB Output is correct
8 Correct 41 ms 35832 KB Output is correct
9 Correct 43 ms 35732 KB Output is correct
10 Correct 31 ms 35708 KB Output is correct
11 Correct 39 ms 35840 KB Output is correct
12 Correct 41 ms 35832 KB Output is correct
13 Correct 33 ms 35704 KB Output is correct
14 Correct 40 ms 35772 KB Output is correct
15 Correct 34 ms 35832 KB Output is correct
16 Correct 30 ms 35704 KB Output is correct
17 Correct 32 ms 35704 KB Output is correct
18 Correct 31 ms 35840 KB Output is correct
19 Correct 37 ms 35824 KB Output is correct
20 Correct 36 ms 35832 KB Output is correct
21 Correct 35 ms 35840 KB Output is correct
22 Correct 37 ms 35832 KB Output is correct
23 Correct 37 ms 35708 KB Output is correct
24 Correct 35 ms 35720 KB Output is correct
25 Correct 36 ms 35804 KB Output is correct
26 Correct 317 ms 50156 KB Output is correct
27 Correct 360 ms 49088 KB Output is correct
28 Correct 37 ms 36216 KB Output is correct
29 Correct 34 ms 35876 KB Output is correct
30 Correct 32 ms 35840 KB Output is correct
31 Correct 284 ms 49180 KB Output is correct
32 Correct 37 ms 36216 KB Output is correct
33 Correct 183 ms 54028 KB Output is correct
34 Correct 314 ms 49080 KB Output is correct
35 Correct 37 ms 36216 KB Output is correct
36 Correct 359 ms 48888 KB Output is correct
37 Correct 32 ms 36224 KB Output is correct
38 Correct 38 ms 36216 KB Output is correct
39 Correct 337 ms 50064 KB Output is correct
40 Correct 38 ms 36344 KB Output is correct
41 Correct 180 ms 49236 KB Output is correct
42 Correct 218 ms 50044 KB Output is correct
43 Correct 32 ms 35840 KB Output is correct
44 Correct 199 ms 54228 KB Output is correct
45 Correct 191 ms 51972 KB Output is correct
46 Correct 34 ms 36216 KB Output is correct
47 Correct 35 ms 36216 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 264 ms 50044 KB Output is correct
2 Correct 604 ms 69924 KB Output is correct
3 Correct 40 ms 36480 KB Output is correct
4 Correct 37 ms 36188 KB Output is correct
5 Correct 37 ms 35832 KB Output is correct
6 Correct 38 ms 35812 KB Output is correct
7 Correct 36 ms 36216 KB Output is correct
8 Correct 559 ms 52572 KB Output is correct
9 Correct 34 ms 36216 KB Output is correct
10 Correct 439 ms 49516 KB Output is correct
11 Correct 38 ms 35832 KB Output is correct
12 Correct 431 ms 48832 KB Output is correct
13 Correct 498 ms 53892 KB Output is correct
14 Correct 480 ms 68720 KB Output is correct
15 Correct 265 ms 50032 KB Output is correct
16 Correct 40 ms 36344 KB Output is correct
17 Correct 36 ms 35832 KB Output is correct
18 Correct 469 ms 66404 KB Output is correct
19 Correct 509 ms 72308 KB Output is correct
20 Correct 36 ms 36344 KB Output is correct
21 Correct 34 ms 35832 KB Output is correct
22 Correct 422 ms 54692 KB Output is correct
23 Correct 35 ms 36216 KB Output is correct
24 Correct 406 ms 50752 KB Output is correct
25 Correct 582 ms 70768 KB Output is correct
26 Correct 38 ms 36860 KB Output is correct
27 Correct 45 ms 36980 KB Output is correct
28 Correct 37 ms 36216 KB Output is correct
29 Correct 37 ms 36224 KB Output is correct
30 Correct 38 ms 36296 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 35840 KB Output is correct
2 Correct 36 ms 35836 KB Output is correct
3 Correct 38 ms 35828 KB Output is correct
4 Correct 34 ms 35840 KB Output is correct
5 Correct 33 ms 35960 KB Output is correct
6 Correct 33 ms 35960 KB Output is correct
7 Correct 35 ms 35704 KB Output is correct
8 Correct 41 ms 35832 KB Output is correct
9 Correct 43 ms 35732 KB Output is correct
10 Correct 31 ms 35708 KB Output is correct
11 Correct 39 ms 35840 KB Output is correct
12 Correct 41 ms 35832 KB Output is correct
13 Correct 33 ms 35704 KB Output is correct
14 Correct 40 ms 35772 KB Output is correct
15 Correct 34 ms 35832 KB Output is correct
16 Correct 30 ms 35704 KB Output is correct
17 Correct 32 ms 35704 KB Output is correct
18 Correct 31 ms 35840 KB Output is correct
19 Correct 37 ms 35824 KB Output is correct
20 Correct 36 ms 35832 KB Output is correct
21 Correct 35 ms 35840 KB Output is correct
22 Correct 37 ms 35832 KB Output is correct
23 Correct 37 ms 35708 KB Output is correct
24 Correct 35 ms 35720 KB Output is correct
25 Correct 32 ms 35832 KB Output is correct
26 Correct 38 ms 36472 KB Output is correct
27 Correct 42 ms 36216 KB Output is correct
28 Correct 41 ms 36700 KB Output is correct
29 Correct 38 ms 36728 KB Output is correct
30 Correct 37 ms 36224 KB Output is correct
31 Correct 33 ms 35840 KB Output is correct
32 Correct 39 ms 36480 KB Output is correct
33 Correct 35 ms 35740 KB Output is correct
34 Correct 35 ms 36216 KB Output is correct
35 Correct 41 ms 36728 KB Output is correct
36 Correct 38 ms 36216 KB Output is correct
37 Correct 37 ms 36224 KB Output is correct
38 Correct 36 ms 35832 KB Output is correct
39 Correct 32 ms 36260 KB Output is correct
40 Correct 38 ms 36236 KB Output is correct
41 Correct 44 ms 36220 KB Output is correct
42 Correct 38 ms 36348 KB Output is correct
43 Correct 37 ms 36352 KB Output is correct
44 Correct 38 ms 35832 KB Output is correct
45 Correct 39 ms 36336 KB Output is correct
46 Correct 36 ms 36348 KB Output is correct
47 Correct 39 ms 35832 KB Output is correct
48 Correct 35 ms 36216 KB Output is correct
49 Correct 42 ms 36868 KB Output is correct
50 Correct 44 ms 36856 KB Output is correct
51 Correct 40 ms 36224 KB Output is correct
52 Correct 40 ms 36216 KB Output is correct
53 Correct 41 ms 36352 KB Output is correct
54 Correct 38 ms 36268 KB Output is correct
55 Correct 36 ms 35804 KB Output is correct
56 Correct 317 ms 50156 KB Output is correct
57 Correct 360 ms 49088 KB Output is correct
58 Correct 37 ms 36216 KB Output is correct
59 Correct 34 ms 35876 KB Output is correct
60 Correct 32 ms 35840 KB Output is correct
61 Correct 284 ms 49180 KB Output is correct
62 Correct 37 ms 36216 KB Output is correct
63 Correct 183 ms 54028 KB Output is correct
64 Correct 314 ms 49080 KB Output is correct
65 Correct 37 ms 36216 KB Output is correct
66 Correct 359 ms 48888 KB Output is correct
67 Correct 32 ms 36224 KB Output is correct
68 Correct 38 ms 36216 KB Output is correct
69 Correct 337 ms 50064 KB Output is correct
70 Correct 38 ms 36344 KB Output is correct
71 Correct 180 ms 49236 KB Output is correct
72 Correct 218 ms 50044 KB Output is correct
73 Correct 32 ms 35840 KB Output is correct
74 Correct 199 ms 54228 KB Output is correct
75 Correct 191 ms 51972 KB Output is correct
76 Correct 34 ms 36216 KB Output is correct
77 Correct 35 ms 36216 KB Output is correct
78 Correct 264 ms 50044 KB Output is correct
79 Correct 604 ms 69924 KB Output is correct
80 Correct 40 ms 36480 KB Output is correct
81 Correct 37 ms 36188 KB Output is correct
82 Correct 37 ms 35832 KB Output is correct
83 Correct 38 ms 35812 KB Output is correct
84 Correct 36 ms 36216 KB Output is correct
85 Correct 559 ms 52572 KB Output is correct
86 Correct 34 ms 36216 KB Output is correct
87 Correct 439 ms 49516 KB Output is correct
88 Correct 38 ms 35832 KB Output is correct
89 Correct 431 ms 48832 KB Output is correct
90 Correct 498 ms 53892 KB Output is correct
91 Correct 480 ms 68720 KB Output is correct
92 Correct 265 ms 50032 KB Output is correct
93 Correct 40 ms 36344 KB Output is correct
94 Correct 36 ms 35832 KB Output is correct
95 Correct 469 ms 66404 KB Output is correct
96 Correct 509 ms 72308 KB Output is correct
97 Correct 36 ms 36344 KB Output is correct
98 Correct 34 ms 35832 KB Output is correct
99 Correct 422 ms 54692 KB Output is correct
100 Correct 35 ms 36216 KB Output is correct
101 Correct 406 ms 50752 KB Output is correct
102 Correct 582 ms 70768 KB Output is correct
103 Correct 38 ms 36860 KB Output is correct
104 Correct 45 ms 36980 KB Output is correct
105 Correct 37 ms 36216 KB Output is correct
106 Correct 37 ms 36224 KB Output is correct
107 Correct 38 ms 36296 KB Output is correct
108 Correct 2717 ms 120796 KB Output is correct
109 Correct 1529 ms 111792 KB Output is correct
110 Correct 1034 ms 120652 KB Output is correct
111 Execution timed out 3041 ms 208220 KB Time limit exceeded
112 Halted 0 ms 0 KB -