oj.uz

Submission #1014675

# Submission time Handle Problem Language Result Execution time Memory
1014675 2024-07-05T09:15:13 Z NintsiChkhaidze Mergers (JOI19_mergers) C++17
100 / 100
 2330 ms 215896 KB 
#include <bits/stdc++.h>
#define pb push_back
#define s second
#define f first
#define pb push_back
#define pii pair <int,int>
#define ll long long
using namespace std;

const int N = 5e5 + 5;
vector <pii> v[N],vec[N];
int col[N],tin[N],timer,d[25][N],dep[N];
int edge[N],val[N],n,D,I,p[N],lz[N];
bool vis[N],del[N];
set <int> st[N];

void dfs(int x,int par){
	d[0][x] = par;
	dep[x] = dep[par] + 1;
	tin[x] = ++timer;

	for (auto [to, id]: v[x]){
		if (to != par) {
			edge[to] = id;
			dfs(to,x);
		}
	}
}

int lca(int x,int y){
	if (dep[x] < dep[y ]) swap(x,y);
	for (int i = 20; i >= 0; i--)
		if (dep[d[i][x]] >= dep[y]) x = d[i][x];
	if (x == y) return x;

	for (int i = 20; i >= 0; i--)
		if (d[i][x] != d[i][y]) x = d[i][x],y = d[i][y];

	return d[0][x];
}

void getpath(int x,int y){
	int c = lca(x,y);
	lz[x] += 1;
	lz[y] += 1;
	lz[c] -= 2;
}	

int P(int x){
	if(x==p[x])return x;
	return p[x]=P(p[x]);
}

void dsu(int x,int y){
	int px = P(x),py = P(y);
	if ((int)st[px].size() < (int)st[py].size()) swap(px,py);
	p[py] = px;
	del[py] = 1;
	
	for (int v: st[py])
		st[px].insert(v);
	
	st[py].clear();
}

int dfs2(int x,int par){
	int s = lz[x];
	for (auto [to,id]: v[x]){
		if (to == par) continue;
		s += dfs2(to,x);
	}

	if (x > 1 && s > 0) {
		val[edge[x]] = 0;
	}
	return s;
}
signed main() {
	ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);

	int k;
	cin>>n>>k;

	for (int i = 1; i < n; i++){
		int a,b;
		cin>>a>>b;
		st[a].insert(b);
		st[b].insert(a);
		v[a].pb({b,i});
		v[b].pb({a,i});
		val[i] = 1;
	}

	dfs(1,1);
	for (int j = 1; j <= 20 ; j++)
		for (int i = 1; i <= n; i++)
			d[j][i] = d[j - 1][d[j - 1][i]];

	for (int i = 1; i <= n; i++)
		cin >> col[i],vec[col[i]].pb({tin[i],i}),p[i] = i;

	for (int i = 1; i <= k; i++){
		sort(vec[i].begin(),vec[i].end());
		for (int j = 1; j < vec[i].size(); j++){
			getpath(vec[i][j].s,vec[i][j - 1].s);
		}
	}
	dfs2(1,1);

	for (int i = 2; i <= n; i++)
		if (!val[edge[i]]) dsu(i,d[0][i]);

	int ans = 0;
	for (int i = 1; i <= n;i++){
		if (del[i]) continue;
		set <int> nw;
		for (int v: st[i])
			nw.insert(P(v));

		if (nw.find(i) != nw.end()) nw.erase(nw.find(i));
		ans += ((int)nw.size() == 1);
	}
	cout<<(ans + 1)/2;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:104:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, 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 20 ms 47448 KB Output is correct
2 Correct 21 ms 47452 KB Output is correct
3 Correct 20 ms 47448 KB Output is correct
4 Correct 21 ms 47452 KB Output is correct
5 Correct 22 ms 47452 KB Output is correct
6 Correct 20 ms 47448 KB Output is correct
7 Correct 24 ms 47452 KB Output is correct
8 Correct 19 ms 47448 KB Output is correct
9 Correct 23 ms 47444 KB Output is correct
10 Correct 20 ms 47452 KB Output is correct
11 Correct 20 ms 47536 KB Output is correct
12 Correct 19 ms 47528 KB Output is correct
13 Correct 20 ms 47584 KB Output is correct
14 Correct 25 ms 47452 KB Output is correct
15 Correct 21 ms 47452 KB Output is correct
16 Correct 20 ms 47452 KB Output is correct
17 Correct 20 ms 47448 KB Output is correct
18 Correct 20 ms 47592 KB Output is correct
19 Correct 21 ms 47612 KB Output is correct
20 Correct 20 ms 47448 KB Output is correct
21 Correct 24 ms 47452 KB Output is correct
22 Correct 20 ms 47680 KB Output is correct
23 Correct 20 ms 47452 KB Output is correct
24 Correct 19 ms 47584 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 47448 KB Output is correct
2 Correct 21 ms 47452 KB Output is correct
3 Correct 20 ms 47448 KB Output is correct
4 Correct 21 ms 47452 KB Output is correct
5 Correct 22 ms 47452 KB Output is correct
6 Correct 20 ms 47448 KB Output is correct
7 Correct 24 ms 47452 KB Output is correct
8 Correct 19 ms 47448 KB Output is correct
9 Correct 23 ms 47444 KB Output is correct
10 Correct 20 ms 47452 KB Output is correct
11 Correct 20 ms 47536 KB Output is correct
12 Correct 19 ms 47528 KB Output is correct
13 Correct 20 ms 47584 KB Output is correct
14 Correct 25 ms 47452 KB Output is correct
15 Correct 21 ms 47452 KB Output is correct
16 Correct 20 ms 47452 KB Output is correct
17 Correct 20 ms 47448 KB Output is correct
18 Correct 20 ms 47592 KB Output is correct
19 Correct 21 ms 47612 KB Output is correct
20 Correct 20 ms 47448 KB Output is correct
21 Correct 24 ms 47452 KB Output is correct
22 Correct 20 ms 47680 KB Output is correct
23 Correct 20 ms 47452 KB Output is correct
24 Correct 19 ms 47584 KB Output is correct
25 Correct 19 ms 47452 KB Output is correct
26 Correct 22 ms 48312 KB Output is correct
27 Correct 23 ms 48216 KB Output is correct
28 Correct 29 ms 48556 KB Output is correct
29 Correct 22 ms 48476 KB Output is correct
30 Correct 22 ms 48220 KB Output is correct
31 Correct 20 ms 47452 KB Output is correct
32 Correct 24 ms 48476 KB Output is correct
33 Correct 20 ms 47488 KB Output is correct
34 Correct 22 ms 48212 KB Output is correct
35 Correct 21 ms 48472 KB Output is correct
36 Correct 23 ms 48200 KB Output is correct
37 Correct 23 ms 48256 KB Output is correct
38 Correct 21 ms 47452 KB Output is correct
39 Correct 23 ms 48352 KB Output is correct
40 Correct 23 ms 48220 KB Output is correct
41 Correct 24 ms 48476 KB Output is correct
42 Correct 22 ms 48472 KB Output is correct
43 Correct 24 ms 48376 KB Output is correct
44 Correct 19 ms 47452 KB Output is correct
45 Correct 23 ms 48472 KB Output is correct
46 Correct 23 ms 48320 KB Output is correct
47 Correct 20 ms 47452 KB Output is correct
48 Correct 22 ms 48324 KB Output is correct
49 Correct 21 ms 48476 KB Output is correct
50 Correct 23 ms 48304 KB Output is correct
51 Correct 23 ms 48220 KB Output is correct
52 Correct 23 ms 48476 KB Output is correct
53 Correct 22 ms 48356 KB Output is correct
54 Correct 26 ms 48216 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 47448 KB Output is correct
2 Correct 21 ms 47452 KB Output is correct
3 Correct 20 ms 47448 KB Output is correct
4 Correct 21 ms 47452 KB Output is correct
5 Correct 22 ms 47452 KB Output is correct
6 Correct 20 ms 47448 KB Output is correct
7 Correct 24 ms 47452 KB Output is correct
8 Correct 19 ms 47448 KB Output is correct
9 Correct 23 ms 47444 KB Output is correct
10 Correct 20 ms 47452 KB Output is correct
11 Correct 20 ms 47536 KB Output is correct
12 Correct 19 ms 47528 KB Output is correct
13 Correct 20 ms 47584 KB Output is correct
14 Correct 25 ms 47452 KB Output is correct
15 Correct 21 ms 47452 KB Output is correct
16 Correct 20 ms 47452 KB Output is correct
17 Correct 20 ms 47448 KB Output is correct
18 Correct 20 ms 47592 KB Output is correct
19 Correct 21 ms 47612 KB Output is correct
20 Correct 20 ms 47448 KB Output is correct
21 Correct 24 ms 47452 KB Output is correct
22 Correct 20 ms 47680 KB Output is correct
23 Correct 20 ms 47452 KB Output is correct
24 Correct 19 ms 47584 KB Output is correct
25 Correct 21 ms 47428 KB Output is correct
26 Correct 147 ms 74428 KB Output is correct
27 Correct 244 ms 74300 KB Output is correct
28 Correct 23 ms 48220 KB Output is correct
29 Correct 20 ms 47452 KB Output is correct
30 Correct 19 ms 47448 KB Output is correct
31 Correct 172 ms 74068 KB Output is correct
32 Correct 23 ms 48216 KB Output is correct
33 Correct 263 ms 79320 KB Output is correct
34 Correct 209 ms 74064 KB Output is correct
35 Correct 23 ms 48220 KB Output is correct
36 Correct 207 ms 74052 KB Output is correct
37 Correct 23 ms 48220 KB Output is correct
38 Correct 23 ms 48472 KB Output is correct
39 Correct 160 ms 76356 KB Output is correct
40 Correct 24 ms 48476 KB Output is correct
41 Correct 213 ms 73928 KB Output is correct
42 Correct 227 ms 75600 KB Output is correct
43 Correct 20 ms 47452 KB Output is correct
44 Correct 296 ms 79312 KB Output is correct
45 Correct 253 ms 78000 KB Output is correct
46 Correct 23 ms 48472 KB Output is correct
47 Correct 23 ms 48212 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 74440 KB Output is correct
2 Correct 132 ms 80960 KB Output is correct
3 Correct 23 ms 48476 KB Output is correct
4 Correct 22 ms 48212 KB Output is correct
5 Correct 21 ms 47444 KB Output is correct
6 Correct 21 ms 47448 KB Output is correct
7 Correct 22 ms 48244 KB Output is correct
8 Correct 156 ms 75180 KB Output is correct
9 Correct 23 ms 48220 KB Output is correct
10 Correct 192 ms 74328 KB Output is correct
11 Correct 20 ms 47452 KB Output is correct
12 Correct 168 ms 73812 KB Output is correct
13 Correct 161 ms 75056 KB Output is correct
14 Correct 129 ms 76040 KB Output is correct
15 Correct 151 ms 76348 KB Output is correct
16 Correct 23 ms 48456 KB Output is correct
17 Correct 21 ms 47452 KB Output is correct
18 Correct 153 ms 79344 KB Output is correct
19 Correct 144 ms 78676 KB Output is correct
20 Correct 23 ms 48220 KB Output is correct
21 Correct 22 ms 47420 KB Output is correct
22 Correct 163 ms 75436 KB Output is correct
23 Correct 23 ms 48476 KB Output is correct
24 Correct 164 ms 74580 KB Output is correct
25 Correct 139 ms 78356 KB Output is correct
26 Correct 25 ms 48464 KB Output is correct
27 Correct 22 ms 48464 KB Output is correct
28 Correct 27 ms 48216 KB Output is correct
29 Correct 23 ms 48476 KB Output is correct
30 Correct 23 ms 48296 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 47448 KB Output is correct
2 Correct 21 ms 47452 KB Output is correct
3 Correct 20 ms 47448 KB Output is correct
4 Correct 21 ms 47452 KB Output is correct
5 Correct 22 ms 47452 KB Output is correct
6 Correct 20 ms 47448 KB Output is correct
7 Correct 24 ms 47452 KB Output is correct
8 Correct 19 ms 47448 KB Output is correct
9 Correct 23 ms 47444 KB Output is correct
10 Correct 20 ms 47452 KB Output is correct
11 Correct 20 ms 47536 KB Output is correct
12 Correct 19 ms 47528 KB Output is correct
13 Correct 20 ms 47584 KB Output is correct
14 Correct 25 ms 47452 KB Output is correct
15 Correct 21 ms 47452 KB Output is correct
16 Correct 20 ms 47452 KB Output is correct
17 Correct 20 ms 47448 KB Output is correct
18 Correct 20 ms 47592 KB Output is correct
19 Correct 21 ms 47612 KB Output is correct
20 Correct 20 ms 47448 KB Output is correct
21 Correct 24 ms 47452 KB Output is correct
22 Correct 20 ms 47680 KB Output is correct
23 Correct 20 ms 47452 KB Output is correct
24 Correct 19 ms 47584 KB Output is correct
25 Correct 19 ms 47452 KB Output is correct
26 Correct 22 ms 48312 KB Output is correct
27 Correct 23 ms 48216 KB Output is correct
28 Correct 29 ms 48556 KB Output is correct
29 Correct 22 ms 48476 KB Output is correct
30 Correct 22 ms 48220 KB Output is correct
31 Correct 20 ms 47452 KB Output is correct
32 Correct 24 ms 48476 KB Output is correct
33 Correct 20 ms 47488 KB Output is correct
34 Correct 22 ms 48212 KB Output is correct
35 Correct 21 ms 48472 KB Output is correct
36 Correct 23 ms 48200 KB Output is correct
37 Correct 23 ms 48256 KB Output is correct
38 Correct 21 ms 47452 KB Output is correct
39 Correct 23 ms 48352 KB Output is correct
40 Correct 23 ms 48220 KB Output is correct
41 Correct 24 ms 48476 KB Output is correct
42 Correct 22 ms 48472 KB Output is correct
43 Correct 24 ms 48376 KB Output is correct
44 Correct 19 ms 47452 KB Output is correct
45 Correct 23 ms 48472 KB Output is correct
46 Correct 23 ms 48320 KB Output is correct
47 Correct 20 ms 47452 KB Output is correct
48 Correct 22 ms 48324 KB Output is correct
49 Correct 21 ms 48476 KB Output is correct
50 Correct 23 ms 48304 KB Output is correct
51 Correct 23 ms 48220 KB Output is correct
52 Correct 23 ms 48476 KB Output is correct
53 Correct 22 ms 48356 KB Output is correct
54 Correct 26 ms 48216 KB Output is correct
55 Correct 21 ms 47428 KB Output is correct
56 Correct 147 ms 74428 KB Output is correct
57 Correct 244 ms 74300 KB Output is correct
58 Correct 23 ms 48220 KB Output is correct
59 Correct 20 ms 47452 KB Output is correct
60 Correct 19 ms 47448 KB Output is correct
61 Correct 172 ms 74068 KB Output is correct
62 Correct 23 ms 48216 KB Output is correct
63 Correct 263 ms 79320 KB Output is correct
64 Correct 209 ms 74064 KB Output is correct
65 Correct 23 ms 48220 KB Output is correct
66 Correct 207 ms 74052 KB Output is correct
67 Correct 23 ms 48220 KB Output is correct
68 Correct 23 ms 48472 KB Output is correct
69 Correct 160 ms 76356 KB Output is correct
70 Correct 24 ms 48476 KB Output is correct
71 Correct 213 ms 73928 KB Output is correct
72 Correct 227 ms 75600 KB Output is correct
73 Correct 20 ms 47452 KB Output is correct
74 Correct 296 ms 79312 KB Output is correct
75 Correct 253 ms 78000 KB Output is correct
76 Correct 23 ms 48472 KB Output is correct
77 Correct 23 ms 48212 KB Output is correct
78 Correct 140 ms 74440 KB Output is correct
79 Correct 132 ms 80960 KB Output is correct
80 Correct 23 ms 48476 KB Output is correct
81 Correct 22 ms 48212 KB Output is correct
82 Correct 21 ms 47444 KB Output is correct
83 Correct 21 ms 47448 KB Output is correct
84 Correct 22 ms 48244 KB Output is correct
85 Correct 156 ms 75180 KB Output is correct
86 Correct 23 ms 48220 KB Output is correct
87 Correct 192 ms 74328 KB Output is correct
88 Correct 20 ms 47452 KB Output is correct
89 Correct 168 ms 73812 KB Output is correct
90 Correct 161 ms 75056 KB Output is correct
91 Correct 129 ms 76040 KB Output is correct
92 Correct 151 ms 76348 KB Output is correct
93 Correct 23 ms 48456 KB Output is correct
94 Correct 21 ms 47452 KB Output is correct
95 Correct 153 ms 79344 KB Output is correct
96 Correct 144 ms 78676 KB Output is correct
97 Correct 23 ms 48220 KB Output is correct
98 Correct 22 ms 47420 KB Output is correct
99 Correct 163 ms 75436 KB Output is correct
100 Correct 23 ms 48476 KB Output is correct
101 Correct 164 ms 74580 KB Output is correct
102 Correct 139 ms 78356 KB Output is correct
103 Correct 25 ms 48464 KB Output is correct
104 Correct 22 ms 48464 KB Output is correct
105 Correct 27 ms 48216 KB Output is correct
106 Correct 23 ms 48476 KB Output is correct
107 Correct 23 ms 48296 KB Output is correct
108 Correct 1078 ms 187780 KB Output is correct
109 Correct 2279 ms 191716 KB Output is correct
110 Correct 2330 ms 200608 KB Output is correct
111 Correct 1088 ms 207676 KB Output is correct
112 Correct 2138 ms 204040 KB Output is correct
113 Correct 1106 ms 207712 KB Output is correct
114 Correct 1780 ms 180032 KB Output is correct
115 Correct 1796 ms 179896 KB Output is correct
116 Correct 1749 ms 185260 KB Output is correct
117 Correct 856 ms 191312 KB Output is correct
118 Correct 1584 ms 180696 KB Output is correct
119 Correct 895 ms 191572 KB Output is correct
120 Correct 950 ms 203920 KB Output is correct
121 Correct 863 ms 192852 KB Output is correct
122 Correct 1862 ms 188244 KB Output is correct
123 Correct 911 ms 215896 KB Output is correct
124 Correct 1049 ms 188408 KB Output is correct