Submission #934180

# Submission time Handle Problem Language Result Execution time Memory
934180 2024-02-26T23:13:30 Z beepbeepsheep Mergers (JOI19_mergers) C++17
100 / 100
569 ms 112660 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;

typedef tree<long long, null_type, less_equal<>,
        rb_tree_tag, tree_order_statistics_node_update>
        ordered_set;
        
#define ll long long
#define ii pair<ll,ll>
#define iii tuple<ll,ll,ll>

#ifndef DEBUG
#define cerr if (0) cerr
#define endl '\n'
#endif

const ll inf=1e15;
const ll maxn=5e5+5;
const ll mod=1e9+7;

mt19937 rng(69);

vector<ll> adj[maxn];
vector<ll> type[maxn];
ll h[maxn];
ll dp[maxn];
ll pre[maxn],post[maxn],pref[maxn];
ll TIME,cnt;
vector<ll> check;
void dfs(ll x, ll p=0){
	pre[x]=++TIME;
	dp[x]=h[x];
	for (auto u:adj[x]){
		if (u==p) continue;
		dfs(u,x);
		dp[x]^=dp[u];
	}
	post[x]=TIME;
	cerr<<dp[x]<<' '<<x<<endl;
	if (x!=1 && dp[x]==0){
		pref[pre[x]]++;
		check.emplace_back(x);
		cnt++;
	}
}
int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	ll n,k,a,b;
	cin>>n>>k;
	for (int i=1;i<n;i++){
		cin>>a>>b;
		adj[a].emplace_back(b);
		adj[b].emplace_back(a);
	}
	for (int i=1;i<=n;i++){
		cin>>a;
		type[a].emplace_back(i);
	}
	for (int i=1;i<=k;i++){
		ll tot=0;
		for (int j=0;j<type[i].size()-1;j++){
			h[type[i][j]]=rng();
			tot^=h[type[i][j]];
		}
		h[type[i].back()]=tot;
	}
	dfs(1);
	for (int i=1;i<maxn;i++) pref[i]+=pref[i-1];
	ll ans=0;
	for (auto u:check){
		ll res=pref[post[u]]-pref[pre[u]-1]; //number of bad edges in subtree
		cerr<<u<<' '<<res<<endl;
		if (res==1 || res==cnt) ans++;
	}
	cout<<(ans+1)/2;
	return 0;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:65:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |   for (int j=0;j<type[i].size()-1;j++){
      |                ~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 10 ms 35164 KB Output is correct
2 Correct 9 ms 35164 KB Output is correct
3 Correct 9 ms 35076 KB Output is correct
4 Correct 9 ms 35164 KB Output is correct
5 Correct 10 ms 35080 KB Output is correct
6 Correct 9 ms 35164 KB Output is correct
7 Correct 9 ms 35164 KB Output is correct
8 Correct 9 ms 35320 KB Output is correct
9 Correct 9 ms 35160 KB Output is correct
10 Correct 9 ms 35160 KB Output is correct
11 Correct 9 ms 35308 KB Output is correct
12 Correct 10 ms 35164 KB Output is correct
13 Correct 9 ms 35268 KB Output is correct
14 Correct 9 ms 35164 KB Output is correct
15 Correct 9 ms 35164 KB Output is correct
16 Correct 10 ms 35108 KB Output is correct
17 Correct 9 ms 35164 KB Output is correct
18 Correct 9 ms 35164 KB Output is correct
19 Correct 10 ms 35164 KB Output is correct
20 Correct 10 ms 35164 KB Output is correct
21 Correct 9 ms 35164 KB Output is correct
22 Correct 9 ms 35164 KB Output is correct
23 Correct 10 ms 35164 KB Output is correct
24 Correct 10 ms 35164 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 35164 KB Output is correct
2 Correct 9 ms 35164 KB Output is correct
3 Correct 9 ms 35076 KB Output is correct
4 Correct 9 ms 35164 KB Output is correct
5 Correct 10 ms 35080 KB Output is correct
6 Correct 9 ms 35164 KB Output is correct
7 Correct 9 ms 35164 KB Output is correct
8 Correct 9 ms 35320 KB Output is correct
9 Correct 9 ms 35160 KB Output is correct
10 Correct 9 ms 35160 KB Output is correct
11 Correct 9 ms 35308 KB Output is correct
12 Correct 10 ms 35164 KB Output is correct
13 Correct 9 ms 35268 KB Output is correct
14 Correct 9 ms 35164 KB Output is correct
15 Correct 9 ms 35164 KB Output is correct
16 Correct 10 ms 35108 KB Output is correct
17 Correct 9 ms 35164 KB Output is correct
18 Correct 9 ms 35164 KB Output is correct
19 Correct 10 ms 35164 KB Output is correct
20 Correct 10 ms 35164 KB Output is correct
21 Correct 9 ms 35164 KB Output is correct
22 Correct 9 ms 35164 KB Output is correct
23 Correct 10 ms 35164 KB Output is correct
24 Correct 10 ms 35164 KB Output is correct
25 Correct 10 ms 35164 KB Output is correct
26 Correct 11 ms 35420 KB Output is correct
27 Correct 11 ms 35500 KB Output is correct
28 Correct 11 ms 35676 KB Output is correct
29 Correct 12 ms 35420 KB Output is correct
30 Correct 11 ms 35420 KB Output is correct
31 Correct 10 ms 35164 KB Output is correct
32 Correct 11 ms 35676 KB Output is correct
33 Correct 9 ms 35264 KB Output is correct
34 Correct 10 ms 35420 KB Output is correct
35 Correct 10 ms 35420 KB Output is correct
36 Correct 11 ms 35320 KB Output is correct
37 Correct 10 ms 35420 KB Output is correct
38 Correct 9 ms 35164 KB Output is correct
39 Correct 10 ms 35524 KB Output is correct
40 Correct 10 ms 35420 KB Output is correct
41 Correct 12 ms 35324 KB Output is correct
42 Correct 10 ms 35420 KB Output is correct
43 Correct 10 ms 35676 KB Output is correct
44 Correct 10 ms 35160 KB Output is correct
45 Correct 11 ms 35420 KB Output is correct
46 Correct 10 ms 35420 KB Output is correct
47 Correct 10 ms 35160 KB Output is correct
48 Correct 10 ms 35396 KB Output is correct
49 Correct 12 ms 35480 KB Output is correct
50 Correct 11 ms 35676 KB Output is correct
51 Correct 10 ms 35480 KB Output is correct
52 Correct 12 ms 35416 KB Output is correct
53 Correct 10 ms 35416 KB Output is correct
54 Correct 12 ms 35420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 35164 KB Output is correct
2 Correct 9 ms 35164 KB Output is correct
3 Correct 9 ms 35076 KB Output is correct
4 Correct 9 ms 35164 KB Output is correct
5 Correct 10 ms 35080 KB Output is correct
6 Correct 9 ms 35164 KB Output is correct
7 Correct 9 ms 35164 KB Output is correct
8 Correct 9 ms 35320 KB Output is correct
9 Correct 9 ms 35160 KB Output is correct
10 Correct 9 ms 35160 KB Output is correct
11 Correct 9 ms 35308 KB Output is correct
12 Correct 10 ms 35164 KB Output is correct
13 Correct 9 ms 35268 KB Output is correct
14 Correct 9 ms 35164 KB Output is correct
15 Correct 9 ms 35164 KB Output is correct
16 Correct 10 ms 35108 KB Output is correct
17 Correct 9 ms 35164 KB Output is correct
18 Correct 9 ms 35164 KB Output is correct
19 Correct 10 ms 35164 KB Output is correct
20 Correct 10 ms 35164 KB Output is correct
21 Correct 9 ms 35164 KB Output is correct
22 Correct 9 ms 35164 KB Output is correct
23 Correct 10 ms 35164 KB Output is correct
24 Correct 10 ms 35164 KB Output is correct
25 Correct 9 ms 35160 KB Output is correct
26 Correct 43 ms 47816 KB Output is correct
27 Correct 54 ms 47500 KB Output is correct
28 Correct 10 ms 35420 KB Output is correct
29 Correct 9 ms 35164 KB Output is correct
30 Correct 9 ms 35164 KB Output is correct
31 Correct 50 ms 47360 KB Output is correct
32 Correct 10 ms 35416 KB Output is correct
33 Correct 55 ms 54104 KB Output is correct
34 Correct 60 ms 47660 KB Output is correct
35 Correct 12 ms 35420 KB Output is correct
36 Correct 62 ms 47720 KB Output is correct
37 Correct 11 ms 35420 KB Output is correct
38 Correct 11 ms 35420 KB Output is correct
39 Correct 42 ms 47656 KB Output is correct
40 Correct 11 ms 35672 KB Output is correct
41 Correct 61 ms 47300 KB Output is correct
42 Correct 57 ms 49216 KB Output is correct
43 Correct 10 ms 35160 KB Output is correct
44 Correct 53 ms 54216 KB Output is correct
45 Correct 58 ms 52096 KB Output is correct
46 Correct 11 ms 35540 KB Output is correct
47 Correct 10 ms 35420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 46620 KB Output is correct
2 Correct 49 ms 49996 KB Output is correct
3 Correct 11 ms 35420 KB Output is correct
4 Correct 10 ms 35420 KB Output is correct
5 Correct 10 ms 35164 KB Output is correct
6 Correct 9 ms 35164 KB Output is correct
7 Correct 10 ms 35380 KB Output is correct
8 Correct 59 ms 48904 KB Output is correct
9 Correct 11 ms 35416 KB Output is correct
10 Correct 53 ms 47852 KB Output is correct
11 Correct 9 ms 35164 KB Output is correct
12 Correct 52 ms 47164 KB Output is correct
13 Correct 70 ms 48884 KB Output is correct
14 Correct 58 ms 51152 KB Output is correct
15 Correct 42 ms 47680 KB Output is correct
16 Correct 11 ms 35420 KB Output is correct
17 Correct 10 ms 35164 KB Output is correct
18 Correct 50 ms 50972 KB Output is correct
19 Correct 69 ms 54644 KB Output is correct
20 Correct 12 ms 35672 KB Output is correct
21 Correct 11 ms 35160 KB Output is correct
22 Correct 54 ms 49152 KB Output is correct
23 Correct 10 ms 35416 KB Output is correct
24 Correct 57 ms 48208 KB Output is correct
25 Correct 64 ms 54004 KB Output is correct
26 Correct 11 ms 35376 KB Output is correct
27 Correct 11 ms 35676 KB Output is correct
28 Correct 10 ms 35420 KB Output is correct
29 Correct 11 ms 35524 KB Output is correct
30 Correct 10 ms 35420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 35164 KB Output is correct
2 Correct 9 ms 35164 KB Output is correct
3 Correct 9 ms 35076 KB Output is correct
4 Correct 9 ms 35164 KB Output is correct
5 Correct 10 ms 35080 KB Output is correct
6 Correct 9 ms 35164 KB Output is correct
7 Correct 9 ms 35164 KB Output is correct
8 Correct 9 ms 35320 KB Output is correct
9 Correct 9 ms 35160 KB Output is correct
10 Correct 9 ms 35160 KB Output is correct
11 Correct 9 ms 35308 KB Output is correct
12 Correct 10 ms 35164 KB Output is correct
13 Correct 9 ms 35268 KB Output is correct
14 Correct 9 ms 35164 KB Output is correct
15 Correct 9 ms 35164 KB Output is correct
16 Correct 10 ms 35108 KB Output is correct
17 Correct 9 ms 35164 KB Output is correct
18 Correct 9 ms 35164 KB Output is correct
19 Correct 10 ms 35164 KB Output is correct
20 Correct 10 ms 35164 KB Output is correct
21 Correct 9 ms 35164 KB Output is correct
22 Correct 9 ms 35164 KB Output is correct
23 Correct 10 ms 35164 KB Output is correct
24 Correct 10 ms 35164 KB Output is correct
25 Correct 10 ms 35164 KB Output is correct
26 Correct 11 ms 35420 KB Output is correct
27 Correct 11 ms 35500 KB Output is correct
28 Correct 11 ms 35676 KB Output is correct
29 Correct 12 ms 35420 KB Output is correct
30 Correct 11 ms 35420 KB Output is correct
31 Correct 10 ms 35164 KB Output is correct
32 Correct 11 ms 35676 KB Output is correct
33 Correct 9 ms 35264 KB Output is correct
34 Correct 10 ms 35420 KB Output is correct
35 Correct 10 ms 35420 KB Output is correct
36 Correct 11 ms 35320 KB Output is correct
37 Correct 10 ms 35420 KB Output is correct
38 Correct 9 ms 35164 KB Output is correct
39 Correct 10 ms 35524 KB Output is correct
40 Correct 10 ms 35420 KB Output is correct
41 Correct 12 ms 35324 KB Output is correct
42 Correct 10 ms 35420 KB Output is correct
43 Correct 10 ms 35676 KB Output is correct
44 Correct 10 ms 35160 KB Output is correct
45 Correct 11 ms 35420 KB Output is correct
46 Correct 10 ms 35420 KB Output is correct
47 Correct 10 ms 35160 KB Output is correct
48 Correct 10 ms 35396 KB Output is correct
49 Correct 12 ms 35480 KB Output is correct
50 Correct 11 ms 35676 KB Output is correct
51 Correct 10 ms 35480 KB Output is correct
52 Correct 12 ms 35416 KB Output is correct
53 Correct 10 ms 35416 KB Output is correct
54 Correct 12 ms 35420 KB Output is correct
55 Correct 9 ms 35160 KB Output is correct
56 Correct 43 ms 47816 KB Output is correct
57 Correct 54 ms 47500 KB Output is correct
58 Correct 10 ms 35420 KB Output is correct
59 Correct 9 ms 35164 KB Output is correct
60 Correct 9 ms 35164 KB Output is correct
61 Correct 50 ms 47360 KB Output is correct
62 Correct 10 ms 35416 KB Output is correct
63 Correct 55 ms 54104 KB Output is correct
64 Correct 60 ms 47660 KB Output is correct
65 Correct 12 ms 35420 KB Output is correct
66 Correct 62 ms 47720 KB Output is correct
67 Correct 11 ms 35420 KB Output is correct
68 Correct 11 ms 35420 KB Output is correct
69 Correct 42 ms 47656 KB Output is correct
70 Correct 11 ms 35672 KB Output is correct
71 Correct 61 ms 47300 KB Output is correct
72 Correct 57 ms 49216 KB Output is correct
73 Correct 10 ms 35160 KB Output is correct
74 Correct 53 ms 54216 KB Output is correct
75 Correct 58 ms 52096 KB Output is correct
76 Correct 11 ms 35540 KB Output is correct
77 Correct 10 ms 35420 KB Output is correct
78 Correct 43 ms 46620 KB Output is correct
79 Correct 49 ms 49996 KB Output is correct
80 Correct 11 ms 35420 KB Output is correct
81 Correct 10 ms 35420 KB Output is correct
82 Correct 10 ms 35164 KB Output is correct
83 Correct 9 ms 35164 KB Output is correct
84 Correct 10 ms 35380 KB Output is correct
85 Correct 59 ms 48904 KB Output is correct
86 Correct 11 ms 35416 KB Output is correct
87 Correct 53 ms 47852 KB Output is correct
88 Correct 9 ms 35164 KB Output is correct
89 Correct 52 ms 47164 KB Output is correct
90 Correct 70 ms 48884 KB Output is correct
91 Correct 58 ms 51152 KB Output is correct
92 Correct 42 ms 47680 KB Output is correct
93 Correct 11 ms 35420 KB Output is correct
94 Correct 10 ms 35164 KB Output is correct
95 Correct 50 ms 50972 KB Output is correct
96 Correct 69 ms 54644 KB Output is correct
97 Correct 12 ms 35672 KB Output is correct
98 Correct 11 ms 35160 KB Output is correct
99 Correct 54 ms 49152 KB Output is correct
100 Correct 10 ms 35416 KB Output is correct
101 Correct 57 ms 48208 KB Output is correct
102 Correct 64 ms 54004 KB Output is correct
103 Correct 11 ms 35376 KB Output is correct
104 Correct 11 ms 35676 KB Output is correct
105 Correct 10 ms 35420 KB Output is correct
106 Correct 11 ms 35524 KB Output is correct
107 Correct 10 ms 35420 KB Output is correct
108 Correct 265 ms 82428 KB Output is correct
109 Correct 450 ms 89184 KB Output is correct
110 Correct 474 ms 100540 KB Output is correct
111 Correct 569 ms 112660 KB Output is correct
112 Correct 513 ms 107040 KB Output is correct
113 Correct 300 ms 93108 KB Output is correct
114 Correct 363 ms 73800 KB Output is correct
115 Correct 418 ms 73704 KB Output is correct
116 Correct 423 ms 79176 KB Output is correct
117 Correct 474 ms 93468 KB Output is correct
118 Correct 386 ms 76412 KB Output is correct
119 Correct 518 ms 92412 KB Output is correct
120 Correct 528 ms 107584 KB Output is correct
121 Correct 480 ms 93880 KB Output is correct
122 Correct 424 ms 83316 KB Output is correct
123 Correct 315 ms 96544 KB Output is correct
124 Correct 532 ms 90892 KB Output is correct