Submission #377941

# Submission time Handle Problem Language Result Execution time Memory
377941 2021-03-15T15:12:56 Z casperwang Mergers (JOI19_mergers) C++14
100 / 100
1813 ms 252128 KB
#include <bits/stdc++.h>
#define pb emplace_back
using namespace std;
#define debug(args...) kout("[ " + string(#args) + " ]", args)
void kout() { cerr << endl; }
template <class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ',kout(b...); }
template <class T> void pary(T L, T R) { while (L != R) cerr << *L << " \n"[++L==R]; }
 
const int MAXN = 500000;
int n, k;
int a, b;
vector <int> path[MAXN+1];
int clr[MAXN+1];
int cnt_clr[MAXN+1];
unordered_map <int,int> cnt[MAXN+1];
int full[MAXN+1];
int dsu[MAXN+1];
vector <int> G[MAXN+1];
int leaves;

int fnd(int a) {
	return a == dsu[a] ? a : dsu[a] = fnd(dsu[a]);
}

void Merge(int a, int b) {
	a = fnd(a), b = fnd(b);
	dsu[a] = b;
}

void DFS(int now, int par) {
	cnt[now][clr[now]]++;
	if (cnt_clr[clr[now]] == 1)
		full[now]++;
	for (int i : path[now]) {
		if (i == par) continue;
		DFS(i, now);
		if (cnt[i].size() > cnt[now].size()) {
			swap(cnt[now], cnt[i]);
			full[now] = full[i];
		}
		for (auto [v, c] : cnt[i]) {
			cnt[now][v] += c;
			if (cnt[now][v] == cnt_clr[v])
				full[now]++;
		}
	}
	if (full[now] != cnt[now].size())
		Merge(now, par);
}
 
signed main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> n >> k;
	for (int i = 1; i < n; i++) {
		cin >> a >> b;
		path[a].pb(b);
		path[b].pb(a);
	}
	for (int i = 1; i <= n; i++) {
		cin >> a;
		clr[i] = a;
		cnt_clr[a]++;
		dsu[i] = i;
	}
	DFS(1, 0);
	for (int i = 1; i <= n; i++) {
		for (int j : path[i]) {
			if (fnd(i) != fnd(j)) {
				G[fnd(i)].pb(fnd(j));
			}
		}
	}
	for (int i = 1; i <= n; i++) {
		if (!G[i].size()) continue;
		bool flag = true;
		for (int j : G[i]) {
			flag &= (j == G[i][0]);
		}
		if (flag)
			leaves++;
	}
	cout << (leaves+1)/2 << '\n';
}

Compilation message

mergers.cpp: In function 'void DFS(int, int)':
mergers.cpp:41:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   41 |   for (auto [v, c] : cnt[i]) {
      |             ^
mergers.cpp:47:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::unordered_map<int, int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |  if (full[now] != cnt[now].size())
      |      ~~~~~~~~~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 41 ms 51180 KB Output is correct
2 Correct 37 ms 51308 KB Output is correct
3 Correct 37 ms 51308 KB Output is correct
4 Correct 41 ms 51180 KB Output is correct
5 Correct 37 ms 51180 KB Output is correct
6 Correct 38 ms 51436 KB Output is correct
7 Correct 37 ms 51180 KB Output is correct
8 Correct 38 ms 51308 KB Output is correct
9 Correct 37 ms 51180 KB Output is correct
10 Correct 41 ms 51180 KB Output is correct
11 Correct 36 ms 51308 KB Output is correct
12 Correct 37 ms 51308 KB Output is correct
13 Correct 37 ms 51180 KB Output is correct
14 Correct 36 ms 51308 KB Output is correct
15 Correct 38 ms 51304 KB Output is correct
16 Correct 42 ms 51180 KB Output is correct
17 Correct 37 ms 51308 KB Output is correct
18 Correct 44 ms 51200 KB Output is correct
19 Correct 37 ms 51308 KB Output is correct
20 Correct 37 ms 51308 KB Output is correct
21 Correct 42 ms 51308 KB Output is correct
22 Correct 37 ms 51308 KB Output is correct
23 Correct 42 ms 51308 KB Output is correct
24 Correct 41 ms 51308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 51180 KB Output is correct
2 Correct 37 ms 51308 KB Output is correct
3 Correct 37 ms 51308 KB Output is correct
4 Correct 41 ms 51180 KB Output is correct
5 Correct 37 ms 51180 KB Output is correct
6 Correct 38 ms 51436 KB Output is correct
7 Correct 37 ms 51180 KB Output is correct
8 Correct 38 ms 51308 KB Output is correct
9 Correct 37 ms 51180 KB Output is correct
10 Correct 41 ms 51180 KB Output is correct
11 Correct 36 ms 51308 KB Output is correct
12 Correct 37 ms 51308 KB Output is correct
13 Correct 37 ms 51180 KB Output is correct
14 Correct 36 ms 51308 KB Output is correct
15 Correct 38 ms 51304 KB Output is correct
16 Correct 42 ms 51180 KB Output is correct
17 Correct 37 ms 51308 KB Output is correct
18 Correct 44 ms 51200 KB Output is correct
19 Correct 37 ms 51308 KB Output is correct
20 Correct 37 ms 51308 KB Output is correct
21 Correct 42 ms 51308 KB Output is correct
22 Correct 37 ms 51308 KB Output is correct
23 Correct 42 ms 51308 KB Output is correct
24 Correct 41 ms 51308 KB Output is correct
25 Correct 37 ms 51308 KB Output is correct
26 Correct 40 ms 51948 KB Output is correct
27 Correct 39 ms 51692 KB Output is correct
28 Correct 40 ms 52076 KB Output is correct
29 Correct 41 ms 52204 KB Output is correct
30 Correct 40 ms 51880 KB Output is correct
31 Correct 36 ms 51208 KB Output is correct
32 Correct 40 ms 52076 KB Output is correct
33 Correct 37 ms 51308 KB Output is correct
34 Correct 39 ms 51564 KB Output is correct
35 Correct 41 ms 52204 KB Output is correct
36 Correct 41 ms 51564 KB Output is correct
37 Correct 41 ms 51948 KB Output is correct
38 Correct 40 ms 51452 KB Output is correct
39 Correct 41 ms 51948 KB Output is correct
40 Correct 39 ms 51564 KB Output is correct
41 Correct 40 ms 51564 KB Output is correct
42 Correct 39 ms 51692 KB Output is correct
43 Correct 39 ms 51948 KB Output is correct
44 Correct 37 ms 51308 KB Output is correct
45 Correct 40 ms 51948 KB Output is correct
46 Correct 41 ms 51820 KB Output is correct
47 Correct 37 ms 51308 KB Output is correct
48 Correct 39 ms 51692 KB Output is correct
49 Correct 40 ms 51948 KB Output is correct
50 Correct 43 ms 51948 KB Output is correct
51 Correct 39 ms 51692 KB Output is correct
52 Correct 40 ms 51564 KB Output is correct
53 Correct 40 ms 51820 KB Output is correct
54 Correct 40 ms 51820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 51180 KB Output is correct
2 Correct 37 ms 51308 KB Output is correct
3 Correct 37 ms 51308 KB Output is correct
4 Correct 41 ms 51180 KB Output is correct
5 Correct 37 ms 51180 KB Output is correct
6 Correct 38 ms 51436 KB Output is correct
7 Correct 37 ms 51180 KB Output is correct
8 Correct 38 ms 51308 KB Output is correct
9 Correct 37 ms 51180 KB Output is correct
10 Correct 41 ms 51180 KB Output is correct
11 Correct 36 ms 51308 KB Output is correct
12 Correct 37 ms 51308 KB Output is correct
13 Correct 37 ms 51180 KB Output is correct
14 Correct 36 ms 51308 KB Output is correct
15 Correct 38 ms 51304 KB Output is correct
16 Correct 42 ms 51180 KB Output is correct
17 Correct 37 ms 51308 KB Output is correct
18 Correct 44 ms 51200 KB Output is correct
19 Correct 37 ms 51308 KB Output is correct
20 Correct 37 ms 51308 KB Output is correct
21 Correct 42 ms 51308 KB Output is correct
22 Correct 37 ms 51308 KB Output is correct
23 Correct 42 ms 51308 KB Output is correct
24 Correct 41 ms 51308 KB Output is correct
25 Correct 37 ms 51308 KB Output is correct
26 Correct 137 ms 63204 KB Output is correct
27 Correct 199 ms 69100 KB Output is correct
28 Correct 40 ms 51692 KB Output is correct
29 Correct 38 ms 51308 KB Output is correct
30 Correct 37 ms 51308 KB Output is correct
31 Correct 161 ms 63392 KB Output is correct
32 Correct 38 ms 51564 KB Output is correct
33 Correct 192 ms 74860 KB Output is correct
34 Correct 188 ms 67948 KB Output is correct
35 Correct 40 ms 51564 KB Output is correct
36 Correct 177 ms 64748 KB Output is correct
37 Correct 39 ms 51692 KB Output is correct
38 Correct 39 ms 51564 KB Output is correct
39 Correct 138 ms 63256 KB Output is correct
40 Correct 40 ms 51948 KB Output is correct
41 Correct 175 ms 62988 KB Output is correct
42 Correct 182 ms 67308 KB Output is correct
43 Correct 38 ms 51308 KB Output is correct
44 Correct 187 ms 74988 KB Output is correct
45 Correct 219 ms 70124 KB Output is correct
46 Correct 39 ms 51564 KB Output is correct
47 Correct 40 ms 51820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 143 ms 61848 KB Output is correct
2 Correct 175 ms 70268 KB Output is correct
3 Correct 47 ms 51948 KB Output is correct
4 Correct 39 ms 51692 KB Output is correct
5 Correct 37 ms 51308 KB Output is correct
6 Correct 37 ms 51308 KB Output is correct
7 Correct 39 ms 51564 KB Output is correct
8 Correct 244 ms 75768 KB Output is correct
9 Correct 39 ms 51564 KB Output is correct
10 Correct 162 ms 63852 KB Output is correct
11 Correct 37 ms 51308 KB Output is correct
12 Correct 189 ms 63596 KB Output is correct
13 Correct 242 ms 74872 KB Output is correct
14 Correct 303 ms 89192 KB Output is correct
15 Correct 138 ms 63204 KB Output is correct
16 Correct 42 ms 51692 KB Output is correct
17 Correct 37 ms 51308 KB Output is correct
18 Correct 195 ms 71944 KB Output is correct
19 Correct 231 ms 79632 KB Output is correct
20 Correct 40 ms 51820 KB Output is correct
21 Correct 37 ms 51308 KB Output is correct
22 Correct 170 ms 66788 KB Output is correct
23 Correct 39 ms 51692 KB Output is correct
24 Correct 187 ms 65684 KB Output is correct
25 Correct 243 ms 77712 KB Output is correct
26 Correct 41 ms 51820 KB Output is correct
27 Correct 40 ms 51948 KB Output is correct
28 Correct 39 ms 51692 KB Output is correct
29 Correct 40 ms 51692 KB Output is correct
30 Correct 40 ms 51692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 51180 KB Output is correct
2 Correct 37 ms 51308 KB Output is correct
3 Correct 37 ms 51308 KB Output is correct
4 Correct 41 ms 51180 KB Output is correct
5 Correct 37 ms 51180 KB Output is correct
6 Correct 38 ms 51436 KB Output is correct
7 Correct 37 ms 51180 KB Output is correct
8 Correct 38 ms 51308 KB Output is correct
9 Correct 37 ms 51180 KB Output is correct
10 Correct 41 ms 51180 KB Output is correct
11 Correct 36 ms 51308 KB Output is correct
12 Correct 37 ms 51308 KB Output is correct
13 Correct 37 ms 51180 KB Output is correct
14 Correct 36 ms 51308 KB Output is correct
15 Correct 38 ms 51304 KB Output is correct
16 Correct 42 ms 51180 KB Output is correct
17 Correct 37 ms 51308 KB Output is correct
18 Correct 44 ms 51200 KB Output is correct
19 Correct 37 ms 51308 KB Output is correct
20 Correct 37 ms 51308 KB Output is correct
21 Correct 42 ms 51308 KB Output is correct
22 Correct 37 ms 51308 KB Output is correct
23 Correct 42 ms 51308 KB Output is correct
24 Correct 41 ms 51308 KB Output is correct
25 Correct 37 ms 51308 KB Output is correct
26 Correct 40 ms 51948 KB Output is correct
27 Correct 39 ms 51692 KB Output is correct
28 Correct 40 ms 52076 KB Output is correct
29 Correct 41 ms 52204 KB Output is correct
30 Correct 40 ms 51880 KB Output is correct
31 Correct 36 ms 51208 KB Output is correct
32 Correct 40 ms 52076 KB Output is correct
33 Correct 37 ms 51308 KB Output is correct
34 Correct 39 ms 51564 KB Output is correct
35 Correct 41 ms 52204 KB Output is correct
36 Correct 41 ms 51564 KB Output is correct
37 Correct 41 ms 51948 KB Output is correct
38 Correct 40 ms 51452 KB Output is correct
39 Correct 41 ms 51948 KB Output is correct
40 Correct 39 ms 51564 KB Output is correct
41 Correct 40 ms 51564 KB Output is correct
42 Correct 39 ms 51692 KB Output is correct
43 Correct 39 ms 51948 KB Output is correct
44 Correct 37 ms 51308 KB Output is correct
45 Correct 40 ms 51948 KB Output is correct
46 Correct 41 ms 51820 KB Output is correct
47 Correct 37 ms 51308 KB Output is correct
48 Correct 39 ms 51692 KB Output is correct
49 Correct 40 ms 51948 KB Output is correct
50 Correct 43 ms 51948 KB Output is correct
51 Correct 39 ms 51692 KB Output is correct
52 Correct 40 ms 51564 KB Output is correct
53 Correct 40 ms 51820 KB Output is correct
54 Correct 40 ms 51820 KB Output is correct
55 Correct 37 ms 51308 KB Output is correct
56 Correct 137 ms 63204 KB Output is correct
57 Correct 199 ms 69100 KB Output is correct
58 Correct 40 ms 51692 KB Output is correct
59 Correct 38 ms 51308 KB Output is correct
60 Correct 37 ms 51308 KB Output is correct
61 Correct 161 ms 63392 KB Output is correct
62 Correct 38 ms 51564 KB Output is correct
63 Correct 192 ms 74860 KB Output is correct
64 Correct 188 ms 67948 KB Output is correct
65 Correct 40 ms 51564 KB Output is correct
66 Correct 177 ms 64748 KB Output is correct
67 Correct 39 ms 51692 KB Output is correct
68 Correct 39 ms 51564 KB Output is correct
69 Correct 138 ms 63256 KB Output is correct
70 Correct 40 ms 51948 KB Output is correct
71 Correct 175 ms 62988 KB Output is correct
72 Correct 182 ms 67308 KB Output is correct
73 Correct 38 ms 51308 KB Output is correct
74 Correct 187 ms 74988 KB Output is correct
75 Correct 219 ms 70124 KB Output is correct
76 Correct 39 ms 51564 KB Output is correct
77 Correct 40 ms 51820 KB Output is correct
78 Correct 143 ms 61848 KB Output is correct
79 Correct 175 ms 70268 KB Output is correct
80 Correct 47 ms 51948 KB Output is correct
81 Correct 39 ms 51692 KB Output is correct
82 Correct 37 ms 51308 KB Output is correct
83 Correct 37 ms 51308 KB Output is correct
84 Correct 39 ms 51564 KB Output is correct
85 Correct 244 ms 75768 KB Output is correct
86 Correct 39 ms 51564 KB Output is correct
87 Correct 162 ms 63852 KB Output is correct
88 Correct 37 ms 51308 KB Output is correct
89 Correct 189 ms 63596 KB Output is correct
90 Correct 242 ms 74872 KB Output is correct
91 Correct 303 ms 89192 KB Output is correct
92 Correct 138 ms 63204 KB Output is correct
93 Correct 42 ms 51692 KB Output is correct
94 Correct 37 ms 51308 KB Output is correct
95 Correct 195 ms 71944 KB Output is correct
96 Correct 231 ms 79632 KB Output is correct
97 Correct 40 ms 51820 KB Output is correct
98 Correct 37 ms 51308 KB Output is correct
99 Correct 170 ms 66788 KB Output is correct
100 Correct 39 ms 51692 KB Output is correct
101 Correct 187 ms 65684 KB Output is correct
102 Correct 243 ms 77712 KB Output is correct
103 Correct 41 ms 51820 KB Output is correct
104 Correct 40 ms 51948 KB Output is correct
105 Correct 39 ms 51692 KB Output is correct
106 Correct 40 ms 51692 KB Output is correct
107 Correct 40 ms 51692 KB Output is correct
108 Correct 895 ms 124464 KB Output is correct
109 Correct 969 ms 141456 KB Output is correct
110 Correct 986 ms 157420 KB Output is correct
111 Correct 1429 ms 193884 KB Output is correct
112 Correct 1333 ms 175512 KB Output is correct
113 Correct 999 ms 148468 KB Output is correct
114 Correct 924 ms 110372 KB Output is correct
115 Correct 916 ms 110276 KB Output is correct
116 Correct 1374 ms 176200 KB Output is correct
117 Correct 1813 ms 252128 KB Output is correct
118 Correct 902 ms 111596 KB Output is correct
119 Correct 1808 ms 248416 KB Output is correct
120 Correct 1401 ms 182620 KB Output is correct
121 Correct 1693 ms 244956 KB Output is correct
122 Correct 1652 ms 226528 KB Output is correct
123 Correct 858 ms 153352 KB Output is correct
124 Correct 1470 ms 199292 KB Output is correct