oj.uz

Submission #1017698

# Submission time Handle Problem Language Result Execution time Memory
1017698 2024-07-09T09:31:36 Z ByeWorld Mergers (JOI19_mergers) C++14
56 / 100
 118 ms 81320 KB 
#include <bits/stdc++.h>
// #pragma GCC optimize("O3", "unroll-loops")
#define ll long long
#define int long long
#define pb push_back
#define fi first
#define se second
#define lf (id<<1)
#define rg ((id<<1)|1)
#define md ((l+r)>>1)
#define ld long double
using namespace std;
typedef pair<int,int> pii;
typedef pair<pii, int> ipii;
const int MAXN = 5e5+10;
const int MAXA = 9e3+20;
const ll INF = 1e9+10;
const int LOG = 13;
const int SQRT = 450;
const vector<int> NOL = {};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const vector<int> dx = {1, -1, 0, 0};
const vector<int> dy = {0, 0, 1, -1};
vector <int> key = {29, 31};
vector <int> mod = {998244353, 1000000007};
void chmx(int &a, int b){ a = max(a, b); }
 
int n, k;
vector <int> adj[MAXN], vec[MAXN];
int a[MAXN], tot[MAXN], u[MAXN], v[MAXN];
 
struct dsu {
	int par[MAXN], siz[MAXN];
	void bd(){
		for(int i=1; i<=n; i++){
			par[i] = i; siz[i] = 1;
		}
	}
	int f(int x){
		if(par[x]==x) return x;
		return par[x] = f(par[x]);
	}
	bool con(int x, int y){ return f(x) == f(y); }
	void mer(int x, int y){
		x = f(x); y = f(y);
		if(x==y) return;
		if(siz[x] > siz[y]) swap(x, y);
		par[x] = y; siz[y] += siz[x];
	}
} DSU;
 
int anc[MAXN][LOG+5], dep[MAXN], in[MAXN], tim;
void dfs(int nw, int par){
	anc[nw][0] = par; dep[nw] = dep[par]+1; in[nw] = ++tim;
	for(auto nx : adj[nw]){
		if(nx==par) continue;
		dfs(nx, nw);
	}
}
int LCA(int x, int y){
	if(dep[x] > dep[y]) swap(x, y); 
	for(int i=LOG-1; i>=0; i--){
		if(dep[anc[y][i]] >= dep[x])
			y = anc[y][i];
	}
	if(x==y) return x;
	for(int i=LOG-1; i>=0; i--){
		if(anc[y][i] != anc[x][i]){
			y = anc[y][i]; x = anc[x][i];
		}
	}
	return anc[x][0];
}
int cnt[MAXN];
vector <int> edge[MAXN];
bool cmp(int a, int b){
	return in[a] < in[b];
}
int ANS(int nw, int par){
	for(auto nx : adj[nw]){
		if(nx==par) continue;
		cnt[nw] += ANS(nx, nw);
	}
	return cnt[nw];
}
signed main(){
	// ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin >> n >> k; DSU.bd();
	for(int i=1; i<=n-1; i++){
		int x, y; cin >> x >> y; u[i] = x; v[i] = y;
		adj[x].pb(y); adj[y].pb(x);
	}
	for(int i=1; i<=n; i++){
		cin >> a[i]; tot[a[i]]++;
		vec[a[i]].pb(i);
	}
	dfs(1, 0);
	for(int j=1; j<LOG; j++)
		for(int i=1; i<=n; i++) anc[i][j] = anc[anc[i][j-1]][j-1];
 
	for(int i=1; i<=k; i++){
		if(vec[i].size() <= 1) continue;
		sort(vec[i].begin(), vec[i].end(), cmp);
		for(int j=1; j<vec[i].size(); j++){
			cnt[LCA(vec[i][j-1], vec[i][j])] += 2;
			cnt[vec[i][j-1]]--; cnt[vec[i][j]]--;
		}
			cnt[LCA(vec[i][0], vec[i].back())] += 2;
			cnt[vec[i][0]]--; cnt[vec[i].back()]--;
	}
 	
 	ANS(1, 0);
 	for(int i=1; i<=n; i++) 
 		if(cnt[i]) DSU.mer(i, anc[i][0]);

	for(int i=1; i<=n-1; i++){
		int x = DSU.f(u[i]), y = DSU.f(v[i]);
		if(x == y) continue;
		edge[x].pb(y); edge[y].pb(x);
	}
	int tot = 0;
	for(int i=1; i<=n; i++){
		if(edge[i].size() == 1) tot++;
	}
	cout << (tot+1)/2 << '\n';
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:104:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |   for(int j=1; j<vec[i].size(); j++){
      |                ~^~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 51036 KB Output is correct
2 Correct 8 ms 51036 KB Output is correct
3 Correct 8 ms 51036 KB Output is correct
4 Correct 8 ms 51068 KB Output is correct
5 Correct 8 ms 51072 KB Output is correct
6 Correct 7 ms 48820 KB Output is correct
7 Correct 7 ms 46936 KB Output is correct
8 Correct 8 ms 50960 KB Output is correct
9 Correct 8 ms 51036 KB Output is correct
10 Correct 8 ms 51288 KB Output is correct
11 Correct 7 ms 46940 KB Output is correct
12 Correct 7 ms 46940 KB Output is correct
13 Correct 8 ms 50864 KB Output is correct
14 Correct 7 ms 51036 KB Output is correct
15 Correct 7 ms 44892 KB Output is correct
16 Correct 7 ms 44948 KB Output is correct
17 Correct 7 ms 46940 KB Output is correct
18 Correct 8 ms 46940 KB Output is correct
19 Correct 8 ms 51036 KB Output is correct
20 Correct 8 ms 51040 KB Output is correct
21 Correct 7 ms 44932 KB Output is correct
22 Correct 8 ms 51028 KB Output is correct
23 Correct 8 ms 51012 KB Output is correct
24 Correct 7 ms 51032 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 51036 KB Output is correct
2 Correct 8 ms 51036 KB Output is correct
3 Correct 8 ms 51036 KB Output is correct
4 Correct 8 ms 51068 KB Output is correct
5 Correct 8 ms 51072 KB Output is correct
6 Correct 7 ms 48820 KB Output is correct
7 Correct 7 ms 46936 KB Output is correct
8 Correct 8 ms 50960 KB Output is correct
9 Correct 8 ms 51036 KB Output is correct
10 Correct 8 ms 51288 KB Output is correct
11 Correct 7 ms 46940 KB Output is correct
12 Correct 7 ms 46940 KB Output is correct
13 Correct 8 ms 50864 KB Output is correct
14 Correct 7 ms 51036 KB Output is correct
15 Correct 7 ms 44892 KB Output is correct
16 Correct 7 ms 44948 KB Output is correct
17 Correct 7 ms 46940 KB Output is correct
18 Correct 8 ms 46940 KB Output is correct
19 Correct 8 ms 51036 KB Output is correct
20 Correct 8 ms 51040 KB Output is correct
21 Correct 7 ms 44932 KB Output is correct
22 Correct 8 ms 51028 KB Output is correct
23 Correct 8 ms 51012 KB Output is correct
24 Correct 7 ms 51032 KB Output is correct
25 Correct 8 ms 51036 KB Output is correct
26 Correct 10 ms 51292 KB Output is correct
27 Correct 10 ms 51292 KB Output is correct
28 Correct 10 ms 51296 KB Output is correct
29 Correct 10 ms 51288 KB Output is correct
30 Correct 10 ms 51332 KB Output is correct
31 Correct 8 ms 51032 KB Output is correct
32 Correct 10 ms 51280 KB Output is correct
33 Correct 10 ms 51016 KB Output is correct
34 Correct 10 ms 51292 KB Output is correct
35 Correct 10 ms 51360 KB Output is correct
36 Correct 10 ms 51304 KB Output is correct
37 Correct 10 ms 51288 KB Output is correct
38 Correct 8 ms 51028 KB Output is correct
39 Correct 10 ms 51292 KB Output is correct
40 Correct 10 ms 51288 KB Output is correct
41 Correct 9 ms 51292 KB Output is correct
42 Correct 9 ms 51292 KB Output is correct
43 Correct 11 ms 51268 KB Output is correct
44 Correct 9 ms 51036 KB Output is correct
45 Correct 10 ms 47708 KB Output is correct
46 Correct 11 ms 47452 KB Output is correct
47 Correct 8 ms 46940 KB Output is correct
48 Correct 9 ms 47452 KB Output is correct
49 Correct 10 ms 47708 KB Output is correct
50 Correct 10 ms 51316 KB Output is correct
51 Correct 10 ms 51292 KB Output is correct
52 Correct 10 ms 47672 KB Output is correct
53 Correct 10 ms 51292 KB Output is correct
54 Correct 10 ms 49516 KB Output is correct

Subtask #3
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 51036 KB Output is correct
2 Correct 8 ms 51036 KB Output is correct
3 Correct 8 ms 51036 KB Output is correct
4 Correct 8 ms 51068 KB Output is correct
5 Correct 8 ms 51072 KB Output is correct
6 Correct 7 ms 48820 KB Output is correct
7 Correct 7 ms 46936 KB Output is correct
8 Correct 8 ms 50960 KB Output is correct
9 Correct 8 ms 51036 KB Output is correct
10 Correct 8 ms 51288 KB Output is correct
11 Correct 7 ms 46940 KB Output is correct
12 Correct 7 ms 46940 KB Output is correct
13 Correct 8 ms 50864 KB Output is correct
14 Correct 7 ms 51036 KB Output is correct
15 Correct 7 ms 44892 KB Output is correct
16 Correct 7 ms 44948 KB Output is correct
17 Correct 7 ms 46940 KB Output is correct
18 Correct 8 ms 46940 KB Output is correct
19 Correct 8 ms 51036 KB Output is correct
20 Correct 8 ms 51040 KB Output is correct
21 Correct 7 ms 44932 KB Output is correct
22 Correct 8 ms 51028 KB Output is correct
23 Correct 8 ms 51012 KB Output is correct
24 Correct 7 ms 51032 KB Output is correct
25 Correct 8 ms 48984 KB Output is correct
26 Correct 110 ms 73400 KB Output is correct
27 Correct 111 ms 73296 KB Output is correct
28 Correct 9 ms 51288 KB Output is correct
29 Correct 8 ms 51036 KB Output is correct
30 Correct 7 ms 51036 KB Output is correct
31 Correct 96 ms 72276 KB Output is correct
32 Correct 9 ms 51292 KB Output is correct
33 Correct 113 ms 78420 KB Output is correct
34 Correct 112 ms 73412 KB Output is correct
35 Correct 10 ms 51292 KB Output is correct
36 Correct 101 ms 72908 KB Output is correct
37 Correct 10 ms 51292 KB Output is correct
38 Correct 12 ms 51268 KB Output is correct
39 Correct 94 ms 73280 KB Output is correct
40 Correct 10 ms 51292 KB Output is correct
41 Correct 118 ms 73096 KB Output is correct
42 Incorrect 107 ms 74064 KB Output isn't correct
43 Halted 0 ms 0 KB -

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 73408 KB Output is correct
2 Correct 95 ms 79300 KB Output is correct
3 Correct 10 ms 51292 KB Output is correct
4 Correct 12 ms 51288 KB Output is correct
5 Correct 10 ms 51036 KB Output is correct
6 Correct 7 ms 51008 KB Output is correct
7 Correct 10 ms 51292 KB Output is correct
8 Correct 113 ms 74380 KB Output is correct
9 Correct 10 ms 51288 KB Output is correct
10 Correct 98 ms 73300 KB Output is correct
11 Correct 8 ms 51032 KB Output is correct
12 Correct 102 ms 72780 KB Output is correct
13 Correct 117 ms 76464 KB Output is correct
14 Correct 106 ms 78964 KB Output is correct
15 Correct 88 ms 73320 KB Output is correct
16 Correct 10 ms 51288 KB Output is correct
17 Correct 8 ms 51036 KB Output is correct
18 Correct 98 ms 77656 KB Output is correct
19 Correct 116 ms 80208 KB Output is correct
20 Correct 10 ms 51288 KB Output is correct
21 Correct 8 ms 51084 KB Output is correct
22 Correct 102 ms 74996 KB Output is correct
23 Correct 10 ms 51288 KB Output is correct
24 Correct 111 ms 72788 KB Output is correct
25 Correct 114 ms 81320 KB Output is correct
26 Correct 9 ms 51288 KB Output is correct
27 Correct 10 ms 51288 KB Output is correct
28 Correct 10 ms 51292 KB Output is correct
29 Correct 10 ms 51292 KB Output is correct
30 Correct 10 ms 51292 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 51036 KB Output is correct
2 Correct 8 ms 51036 KB Output is correct
3 Correct 8 ms 51036 KB Output is correct
4 Correct 8 ms 51068 KB Output is correct
5 Correct 8 ms 51072 KB Output is correct
6 Correct 7 ms 48820 KB Output is correct
7 Correct 7 ms 46936 KB Output is correct
8 Correct 8 ms 50960 KB Output is correct
9 Correct 8 ms 51036 KB Output is correct
10 Correct 8 ms 51288 KB Output is correct
11 Correct 7 ms 46940 KB Output is correct
12 Correct 7 ms 46940 KB Output is correct
13 Correct 8 ms 50864 KB Output is correct
14 Correct 7 ms 51036 KB Output is correct
15 Correct 7 ms 44892 KB Output is correct
16 Correct 7 ms 44948 KB Output is correct
17 Correct 7 ms 46940 KB Output is correct
18 Correct 8 ms 46940 KB Output is correct
19 Correct 8 ms 51036 KB Output is correct
20 Correct 8 ms 51040 KB Output is correct
21 Correct 7 ms 44932 KB Output is correct
22 Correct 8 ms 51028 KB Output is correct
23 Correct 8 ms 51012 KB Output is correct
24 Correct 7 ms 51032 KB Output is correct
25 Correct 8 ms 51036 KB Output is correct
26 Correct 10 ms 51292 KB Output is correct
27 Correct 10 ms 51292 KB Output is correct
28 Correct 10 ms 51296 KB Output is correct
29 Correct 10 ms 51288 KB Output is correct
30 Correct 10 ms 51332 KB Output is correct
31 Correct 8 ms 51032 KB Output is correct
32 Correct 10 ms 51280 KB Output is correct
33 Correct 10 ms 51016 KB Output is correct
34 Correct 10 ms 51292 KB Output is correct
35 Correct 10 ms 51360 KB Output is correct
36 Correct 10 ms 51304 KB Output is correct
37 Correct 10 ms 51288 KB Output is correct
38 Correct 8 ms 51028 KB Output is correct
39 Correct 10 ms 51292 KB Output is correct
40 Correct 10 ms 51288 KB Output is correct
41 Correct 9 ms 51292 KB Output is correct
42 Correct 9 ms 51292 KB Output is correct
43 Correct 11 ms 51268 KB Output is correct
44 Correct 9 ms 51036 KB Output is correct
45 Correct 10 ms 47708 KB Output is correct
46 Correct 11 ms 47452 KB Output is correct
47 Correct 8 ms 46940 KB Output is correct
48 Correct 9 ms 47452 KB Output is correct
49 Correct 10 ms 47708 KB Output is correct
50 Correct 10 ms 51316 KB Output is correct
51 Correct 10 ms 51292 KB Output is correct
52 Correct 10 ms 47672 KB Output is correct
53 Correct 10 ms 51292 KB Output is correct
54 Correct 10 ms 49516 KB Output is correct
55 Correct 8 ms 48984 KB Output is correct
56 Correct 110 ms 73400 KB Output is correct
57 Correct 111 ms 73296 KB Output is correct
58 Correct 9 ms 51288 KB Output is correct
59 Correct 8 ms 51036 KB Output is correct
60 Correct 7 ms 51036 KB Output is correct
61 Correct 96 ms 72276 KB Output is correct
62 Correct 9 ms 51292 KB Output is correct
63 Correct 113 ms 78420 KB Output is correct
64 Correct 112 ms 73412 KB Output is correct
65 Correct 10 ms 51292 KB Output is correct
66 Correct 101 ms 72908 KB Output is correct
67 Correct 10 ms 51292 KB Output is correct
68 Correct 12 ms 51268 KB Output is correct
69 Correct 94 ms 73280 KB Output is correct
70 Correct 10 ms 51292 KB Output is correct
71 Correct 118 ms 73096 KB Output is correct
72 Incorrect 107 ms 74064 KB Output isn't correct
73 Halted 0 ms 0 KB -