oj.uz

Submission #447194

# Submission time Handle Problem Language Result Execution time Memory
447194 2021-07-25T05:31:13 Z wind_reaper Mergers (JOI19_mergers) C++17
100 / 100
 1180 ms 147144 KB 
#include <bits/stdc++.h>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
*/

using namespace std;
// using namespace __gnu_pbds;
using namespace chrono;

// mt19937 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
/*
template <class T> using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
*/

//***************** CONSTANTS *****************

const int MXN = 500'000;

//***************** GLOBAL VARIABLES *****************

vector<int> g[MXN];
map<int, int> mp[MXN];
int deg[MXN], st[MXN], cnt[MXN];

//***************** AUXILIARY STRUCTS *****************



//***************** MAIN BODY *****************

void dfs(int u, int p){
	if(cnt[st[u]] != 1) mp[u][st[u]] = 1;

	for(int v : g[u]) if(v != p){
		dfs(v, u);
		if(!mp[v].size()){
			deg[u]++;
			deg[v]++;
		}
		else{
			deg[u] += deg[v];
			deg[v] = 0;
		}

		if(mp[v].size() > mp[u].size()) swap(mp[u], mp[v]);

		for(auto& [state, count] : mp[v]){
			mp[u][state] += count;
			if(mp[u][state] == cnt[state]) mp[u].erase(state);
		}
	}
}

void solve(){
	int N, K;
	cin >> N >> K;
	for(int i = 0; i < N - 1; i++){
		int u, v;
		cin >> u >> v;
		--u, --v;
		g[u].push_back(v);
		g[v].push_back(u);
	}

	for(int i = 0; i < N; i++){
		cin >> st[i];
		--st[i];
		cnt[st[i]]++;
	}

	dfs(0, 0);

	int ans = 0;

	for(int i = 0; i < N; i++) ans += (deg[i] == 1);

	cout << (ans + 1) / 2 << '\n';
}

//***************** *****************

int32_t main(){
	ios_base::sync_with_stdio(NULL);
	cin.tie(NULL);

	#ifdef LOCAL
		auto begin = high_resolution_clock::now();
	#endif

	int tc = 1;
	// cin >> tc; 
	for (int t = 0; t < tc; t++)
		solve();

	#ifdef LOCAL 
		auto end = high_resolution_clock::now();
		cout << fixed << setprecision(4);
		cout << "Execution Time: " << duration_cast<duration<double>>(end - begin).count() << "seconds" << endl;
	#endif

	return 0;
}

/*
If code gives a WA, check for the following : 
1. I/O format

2. Are you clearing all global variables in between tests if multitests are a thing

3. Can you definitively prove the logic
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35532 KB Output is correct
2 Correct 20 ms 35544 KB Output is correct
3 Correct 19 ms 35504 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35532 KB Output is correct
6 Correct 19 ms 35460 KB Output is correct
7 Correct 20 ms 35468 KB Output is correct
8 Correct 19 ms 35532 KB Output is correct
9 Correct 19 ms 35512 KB Output is correct
10 Correct 20 ms 35464 KB Output is correct
11 Correct 20 ms 35512 KB Output is correct
12 Correct 20 ms 35464 KB Output is correct
13 Correct 19 ms 35464 KB Output is correct
14 Correct 20 ms 35496 KB Output is correct
15 Correct 20 ms 35476 KB Output is correct
16 Correct 18 ms 35532 KB Output is correct
17 Correct 20 ms 35548 KB Output is correct
18 Correct 19 ms 35540 KB Output is correct
19 Correct 19 ms 35532 KB Output is correct
20 Correct 19 ms 35540 KB Output is correct
21 Correct 19 ms 35480 KB Output is correct
22 Correct 19 ms 35468 KB Output is correct
23 Correct 19 ms 35532 KB Output is correct
24 Correct 19 ms 35532 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35532 KB Output is correct
2 Correct 20 ms 35544 KB Output is correct
3 Correct 19 ms 35504 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35532 KB Output is correct
6 Correct 19 ms 35460 KB Output is correct
7 Correct 20 ms 35468 KB Output is correct
8 Correct 19 ms 35532 KB Output is correct
9 Correct 19 ms 35512 KB Output is correct
10 Correct 20 ms 35464 KB Output is correct
11 Correct 20 ms 35512 KB Output is correct
12 Correct 20 ms 35464 KB Output is correct
13 Correct 19 ms 35464 KB Output is correct
14 Correct 20 ms 35496 KB Output is correct
15 Correct 20 ms 35476 KB Output is correct
16 Correct 18 ms 35532 KB Output is correct
17 Correct 20 ms 35548 KB Output is correct
18 Correct 19 ms 35540 KB Output is correct
19 Correct 19 ms 35532 KB Output is correct
20 Correct 19 ms 35540 KB Output is correct
21 Correct 19 ms 35480 KB Output is correct
22 Correct 19 ms 35468 KB Output is correct
23 Correct 19 ms 35532 KB Output is correct
24 Correct 19 ms 35532 KB Output is correct
25 Correct 21 ms 35532 KB Output is correct
26 Correct 21 ms 35764 KB Output is correct
27 Correct 20 ms 35828 KB Output is correct
28 Correct 22 ms 35808 KB Output is correct
29 Correct 21 ms 35660 KB Output is correct
30 Correct 23 ms 36044 KB Output is correct
31 Correct 20 ms 35524 KB Output is correct
32 Correct 20 ms 35920 KB Output is correct
33 Correct 19 ms 35532 KB Output is correct
34 Correct 22 ms 35820 KB Output is correct
35 Correct 21 ms 35688 KB Output is correct
36 Correct 22 ms 35844 KB Output is correct
37 Correct 21 ms 35908 KB Output is correct
38 Correct 20 ms 35540 KB Output is correct
39 Correct 23 ms 36072 KB Output is correct
40 Correct 20 ms 35836 KB Output is correct
41 Correct 22 ms 35856 KB Output is correct
42 Correct 36 ms 35796 KB Output is correct
43 Correct 21 ms 36224 KB Output is correct
44 Correct 20 ms 35532 KB Output is correct
45 Correct 22 ms 35740 KB Output is correct
46 Correct 26 ms 35856 KB Output is correct
47 Correct 19 ms 35532 KB Output is correct
48 Correct 21 ms 35812 KB Output is correct
49 Correct 21 ms 35676 KB Output is correct
50 Correct 20 ms 35788 KB Output is correct
51 Correct 22 ms 35808 KB Output is correct
52 Correct 21 ms 35780 KB Output is correct
53 Correct 22 ms 35808 KB Output is correct
54 Correct 22 ms 36072 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35532 KB Output is correct
2 Correct 20 ms 35544 KB Output is correct
3 Correct 19 ms 35504 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35532 KB Output is correct
6 Correct 19 ms 35460 KB Output is correct
7 Correct 20 ms 35468 KB Output is correct
8 Correct 19 ms 35532 KB Output is correct
9 Correct 19 ms 35512 KB Output is correct
10 Correct 20 ms 35464 KB Output is correct
11 Correct 20 ms 35512 KB Output is correct
12 Correct 20 ms 35464 KB Output is correct
13 Correct 19 ms 35464 KB Output is correct
14 Correct 20 ms 35496 KB Output is correct
15 Correct 20 ms 35476 KB Output is correct
16 Correct 18 ms 35532 KB Output is correct
17 Correct 20 ms 35548 KB Output is correct
18 Correct 19 ms 35540 KB Output is correct
19 Correct 19 ms 35532 KB Output is correct
20 Correct 19 ms 35540 KB Output is correct
21 Correct 19 ms 35480 KB Output is correct
22 Correct 19 ms 35468 KB Output is correct
23 Correct 19 ms 35532 KB Output is correct
24 Correct 19 ms 35532 KB Output is correct
25 Correct 20 ms 35456 KB Output is correct
26 Correct 88 ms 45688 KB Output is correct
27 Correct 137 ms 52036 KB Output is correct
28 Correct 21 ms 35816 KB Output is correct
29 Correct 20 ms 35476 KB Output is correct
30 Correct 20 ms 35532 KB Output is correct
31 Correct 104 ms 45416 KB Output is correct
32 Correct 22 ms 35788 KB Output is correct
33 Correct 127 ms 56960 KB Output is correct
34 Correct 156 ms 50720 KB Output is correct
35 Correct 22 ms 35812 KB Output is correct
36 Correct 106 ms 47044 KB Output is correct
37 Correct 21 ms 35788 KB Output is correct
38 Correct 21 ms 35840 KB Output is correct
39 Correct 94 ms 45952 KB Output is correct
40 Correct 22 ms 36224 KB Output is correct
41 Correct 114 ms 45528 KB Output is correct
42 Correct 125 ms 49464 KB Output is correct
43 Correct 20 ms 35532 KB Output is correct
44 Correct 114 ms 57576 KB Output is correct
45 Correct 127 ms 52816 KB Output is correct
46 Correct 22 ms 35784 KB Output is correct
47 Correct 22 ms 35940 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 45696 KB Output is correct
2 Correct 71 ms 41432 KB Output is correct
3 Correct 22 ms 35660 KB Output is correct
4 Correct 22 ms 35788 KB Output is correct
5 Correct 19 ms 35436 KB Output is correct
6 Correct 19 ms 35556 KB Output is correct
7 Correct 22 ms 35792 KB Output is correct
8 Correct 129 ms 47908 KB Output is correct
9 Correct 21 ms 35788 KB Output is correct
10 Correct 99 ms 45636 KB Output is correct
11 Correct 20 ms 35548 KB Output is correct
12 Correct 106 ms 45728 KB Output is correct
13 Correct 105 ms 45160 KB Output is correct
14 Correct 84 ms 41608 KB Output is correct
15 Correct 90 ms 45880 KB Output is correct
16 Correct 24 ms 35864 KB Output is correct
17 Correct 21 ms 35448 KB Output is correct
18 Correct 81 ms 43008 KB Output is correct
19 Correct 92 ms 47940 KB Output is correct
20 Correct 21 ms 35804 KB Output is correct
21 Correct 20 ms 35576 KB Output is correct
22 Correct 130 ms 45452 KB Output is correct
23 Correct 21 ms 35788 KB Output is correct
24 Correct 124 ms 45304 KB Output is correct
25 Correct 90 ms 45872 KB Output is correct
26 Correct 21 ms 35660 KB Output is correct
27 Correct 21 ms 35788 KB Output is correct
28 Correct 21 ms 35808 KB Output is correct
29 Correct 23 ms 35880 KB Output is correct
30 Correct 21 ms 35764 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35532 KB Output is correct
2 Correct 20 ms 35544 KB Output is correct
3 Correct 19 ms 35504 KB Output is correct
4 Correct 19 ms 35540 KB Output is correct
5 Correct 19 ms 35532 KB Output is correct
6 Correct 19 ms 35460 KB Output is correct
7 Correct 20 ms 35468 KB Output is correct
8 Correct 19 ms 35532 KB Output is correct
9 Correct 19 ms 35512 KB Output is correct
10 Correct 20 ms 35464 KB Output is correct
11 Correct 20 ms 35512 KB Output is correct
12 Correct 20 ms 35464 KB Output is correct
13 Correct 19 ms 35464 KB Output is correct
14 Correct 20 ms 35496 KB Output is correct
15 Correct 20 ms 35476 KB Output is correct
16 Correct 18 ms 35532 KB Output is correct
17 Correct 20 ms 35548 KB Output is correct
18 Correct 19 ms 35540 KB Output is correct
19 Correct 19 ms 35532 KB Output is correct
20 Correct 19 ms 35540 KB Output is correct
21 Correct 19 ms 35480 KB Output is correct
22 Correct 19 ms 35468 KB Output is correct
23 Correct 19 ms 35532 KB Output is correct
24 Correct 19 ms 35532 KB Output is correct
25 Correct 21 ms 35532 KB Output is correct
26 Correct 21 ms 35764 KB Output is correct
27 Correct 20 ms 35828 KB Output is correct
28 Correct 22 ms 35808 KB Output is correct
29 Correct 21 ms 35660 KB Output is correct
30 Correct 23 ms 36044 KB Output is correct
31 Correct 20 ms 35524 KB Output is correct
32 Correct 20 ms 35920 KB Output is correct
33 Correct 19 ms 35532 KB Output is correct
34 Correct 22 ms 35820 KB Output is correct
35 Correct 21 ms 35688 KB Output is correct
36 Correct 22 ms 35844 KB Output is correct
37 Correct 21 ms 35908 KB Output is correct
38 Correct 20 ms 35540 KB Output is correct
39 Correct 23 ms 36072 KB Output is correct
40 Correct 20 ms 35836 KB Output is correct
41 Correct 22 ms 35856 KB Output is correct
42 Correct 36 ms 35796 KB Output is correct
43 Correct 21 ms 36224 KB Output is correct
44 Correct 20 ms 35532 KB Output is correct
45 Correct 22 ms 35740 KB Output is correct
46 Correct 26 ms 35856 KB Output is correct
47 Correct 19 ms 35532 KB Output is correct
48 Correct 21 ms 35812 KB Output is correct
49 Correct 21 ms 35676 KB Output is correct
50 Correct 20 ms 35788 KB Output is correct
51 Correct 22 ms 35808 KB Output is correct
52 Correct 21 ms 35780 KB Output is correct
53 Correct 22 ms 35808 KB Output is correct
54 Correct 22 ms 36072 KB Output is correct
55 Correct 20 ms 35456 KB Output is correct
56 Correct 88 ms 45688 KB Output is correct
57 Correct 137 ms 52036 KB Output is correct
58 Correct 21 ms 35816 KB Output is correct
59 Correct 20 ms 35476 KB Output is correct
60 Correct 20 ms 35532 KB Output is correct
61 Correct 104 ms 45416 KB Output is correct
62 Correct 22 ms 35788 KB Output is correct
63 Correct 127 ms 56960 KB Output is correct
64 Correct 156 ms 50720 KB Output is correct
65 Correct 22 ms 35812 KB Output is correct
66 Correct 106 ms 47044 KB Output is correct
67 Correct 21 ms 35788 KB Output is correct
68 Correct 21 ms 35840 KB Output is correct
69 Correct 94 ms 45952 KB Output is correct
70 Correct 22 ms 36224 KB Output is correct
71 Correct 114 ms 45528 KB Output is correct
72 Correct 125 ms 49464 KB Output is correct
73 Correct 20 ms 35532 KB Output is correct
74 Correct 114 ms 57576 KB Output is correct
75 Correct 127 ms 52816 KB Output is correct
76 Correct 22 ms 35784 KB Output is correct
77 Correct 22 ms 35940 KB Output is correct
78 Correct 89 ms 45696 KB Output is correct
79 Correct 71 ms 41432 KB Output is correct
80 Correct 22 ms 35660 KB Output is correct
81 Correct 22 ms 35788 KB Output is correct
82 Correct 19 ms 35436 KB Output is correct
83 Correct 19 ms 35556 KB Output is correct
84 Correct 22 ms 35792 KB Output is correct
85 Correct 129 ms 47908 KB Output is correct
86 Correct 21 ms 35788 KB Output is correct
87 Correct 99 ms 45636 KB Output is correct
88 Correct 20 ms 35548 KB Output is correct
89 Correct 106 ms 45728 KB Output is correct
90 Correct 105 ms 45160 KB Output is correct
91 Correct 84 ms 41608 KB Output is correct
92 Correct 90 ms 45880 KB Output is correct
93 Correct 24 ms 35864 KB Output is correct
94 Correct 21 ms 35448 KB Output is correct
95 Correct 81 ms 43008 KB Output is correct
96 Correct 92 ms 47940 KB Output is correct
97 Correct 21 ms 35804 KB Output is correct
98 Correct 20 ms 35576 KB Output is correct
99 Correct 130 ms 45452 KB Output is correct
100 Correct 21 ms 35788 KB Output is correct
101 Correct 124 ms 45304 KB Output is correct
102 Correct 90 ms 45872 KB Output is correct
103 Correct 21 ms 35660 KB Output is correct
104 Correct 21 ms 35788 KB Output is correct
105 Correct 21 ms 35808 KB Output is correct
106 Correct 23 ms 35880 KB Output is correct
107 Correct 21 ms 35764 KB Output is correct
108 Correct 884 ms 81804 KB Output is correct
109 Correct 726 ms 110808 KB Output is correct
110 Correct 765 ms 128728 KB Output is correct
111 Correct 568 ms 97120 KB Output is correct
112 Correct 597 ms 81604 KB Output is correct
113 Correct 458 ms 65844 KB Output is correct
114 Correct 666 ms 81796 KB Output is correct
115 Correct 675 ms 81612 KB Output is correct
116 Correct 1098 ms 139136 KB Output is correct
117 Correct 536 ms 60028 KB Output is correct
118 Correct 653 ms 80708 KB Output is correct
119 Correct 524 ms 60032 KB Output is correct
120 Correct 567 ms 82604 KB Output is correct
121 Correct 530 ms 60164 KB Output is correct
122 Correct 1180 ms 147144 KB Output is correct
123 Correct 376 ms 61520 KB Output is correct
124 Correct 602 ms 59844 KB Output is correct