oj.uz

Submission #631943

# Submission time Handle Problem Language Result Execution time Memory
631943 2022-08-19T07:57:51 Z S2speed Jail (JOI22_jail) C++17
66 / 100
 402 ms 93492 KB 
#include<bits/stdc++.h>

using namespace std;

#pragma GCC optimize ("Ofast")

#define all(x) x.begin() , x.end()
typedef long long ll;
typedef pair<ll , ll> pll;

const ll maxn = 2e5 + 17 , inf = 2e16;

vector<ll> adj[maxn];
ll jad[maxn][20] , bt[maxn] , ft[maxn] , tme , dis[maxn] , dep = 0;

void jDFS(ll r , ll par){
	bt[r] = tme++;
	dis[r] = dep++;
	jad[r][0] = par;
	for(ll j = 1 ; j < 20 ; j++){
		if(jad[r][j - 1] == -1) break;
		jad[r][j] = jad[jad[r][j - 1]][j - 1];
	}
	for(auto i : adj[r]){
		if(i == par) continue;
		jDFS(i , r);
	}
	ft[r] = tme;
	dep--;
	return;
}

ll find_jad(ll v , ll d){
	d = dis[v] - d;
	for(ll j = 19 ; ~j ; j--){
		if(d & (1 << j)){
			v = jad[v][j];
		}
	}
	return v;
}

bool too_masir(ll v , ll u , ll k){
	bool zv = (bt[v] >= bt[k] && ft[v] <= ft[k]) , zu = (bt[u] >= bt[k] && ft[u] <= ft[k]);
	if(!zv && !zu) return false;
	if(zv ^ zu) return true;
	ll hv = find_jad(v , dis[k] + 1) , hu = find_jad(u , dis[k] + 1);
	return (hv != hu);
}

ll n , m;
ll a[maxn] , b[maxn] , d[maxn] , x[maxn] , y[maxn];
vector<ll> jda[maxn];
priority_queue<pll , vector<pll> , greater<pll>> pq;
vector<pll> s1;

bool sub1(){
	s1.clear();
	for(ll i = 0 ; i < m ; i++){
		s1.push_back({a[i] , b[i]});
	}
	sort(all(s1));
	for(ll i = 1 ; i < m ; i++){
		if(s1[i].second < s1[i - 1].second) return false;
	}
	return true;
}

bool sub6(){
	for(ll i = 0 ; i < m ; i++){
		int v = a[i];
		while(true){
			if(x[v] != -1){
				jda[i].push_back(x[v]); d[x[v]]++;
			}
			if(y[v] != -1){
				jda[y[v]].push_back(i); d[i]++;
			}
			if(bt[b[i]] >= bt[v] && ft[b[i]] <= ft[v]) break;
			v = jad[v][0];
		}
		v = b[i];
		while(!(bt[a[i]] >= bt[v] && ft[a[i]] <= ft[v])){
			if(x[v] != -1){
				jda[i].push_back(x[v]); d[x[v]]++;
			}
			if(y[v] != -1){
				jda[y[v]].push_back(i); d[i]++;
			}
			v = jad[v][0];
		}
	}
	for(ll i = 0 ; i < m ; i++){
		pq.push({d[i] , i});
	}
	while(!pq.empty()){
		pll p = pq.top(); pq.pop();
		ll v = p.second;
		if(d[v] != p.first) continue;
		if(d[v] != 0){
			return false;
		}
		for(auto i : jda[v]){
			d[i]--;
			pq.push({d[i] , i});
		}
	}
	return true;
}

void solve(){
	while(!pq.empty()) pq.pop();
	tme = 0;
	cin>>n;
	for(ll i = 0 ; i < n ; i++){
		adj[i].clear(); jda[i].clear(); d[i] = 0; x[i] = y[i] = -1;
		for(ll j = 0 ; j < 20 ; j++) jad[i][j] = -1;
	}
	bool c = true;
	for(ll i = 1 ; i < n ; i++){
		ll v , u;
		cin>>v>>u; v--; u--;
		adj[v].push_back(u); adj[u].push_back(v);
		c &= (v == i - 1 && u == i);
	}
	jDFS(0 , -1);
	cin>>m;
	for(ll i = 0 ; i < m ; i++){
		cin>>a[i]>>b[i]; a[i]--; b[i]--;
		x[a[i]] = i; y[b[i]] = i;
	}
	if(c){
		cout<<(sub1() ? "Yes\n" : "No\n");
		return;
	}
	if(m > 500){
		cout<<(sub6() ? "Yes\n" : "No\n");
		return;
	}
	for(ll i = 0 ; i < m ; i++){
		for(ll j = 0 ; j < m ; j++){
			if(j == i) continue;
			if(too_masir(a[i] , b[i] , a[j])){
				jda[i].push_back(j); d[j]++;
			}
			if(too_masir(a[i] , b[i] , b[j])){
				jda[j].push_back(i); d[i]++;
			}
		}
	}
	for(ll i = 0 ; i < m ; i++){
		pq.push({d[i] , i});
	}
	while(!pq.empty()){
		pll p = pq.top(); pq.pop();
		ll v = p.second;
		if(d[v] != p.first) continue;
		if(d[v] != 0){
			cout<<"No\n";
			return;
		}
		for(auto i : jda[v]){
			d[i]--;
			pq.push({d[i] , i});
		}
	}
	cout<<"Yes\n";
	return;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	ll T;
	cin>>T;
	while(T--) solve();
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 5 ms 9732 KB Output is correct
4 Correct 12 ms 9812 KB Output is correct
5 Correct 22 ms 9816 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 8 ms 9812 KB Output is correct
9 Correct 30 ms 11488 KB Output is correct
10 Correct 54 ms 43460 KB Output is correct
11 Correct 8 ms 9684 KB Output is correct
12 Correct 27 ms 9812 KB Output is correct
13 Correct 62 ms 45512 KB Output is correct
14 Correct 64 ms 45472 KB Output is correct
15 Correct 77 ms 45484 KB Output is correct
16 Correct 93 ms 47528 KB Output is correct
17 Correct 65 ms 45676 KB Output is correct
18 Correct 74 ms 47628 KB Output is correct
19 Correct 65 ms 45636 KB Output is correct
20 Correct 65 ms 45600 KB Output is correct
21 Correct 66 ms 45572 KB Output is correct
22 Correct 71 ms 45552 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9812 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9840 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 6 ms 9812 KB Output is correct
11 Correct 6 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9812 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9840 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 6 ms 9812 KB Output is correct
11 Correct 6 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 8 ms 9812 KB Output is correct
17 Correct 7 ms 9812 KB Output is correct
18 Correct 6 ms 9812 KB Output is correct
19 Correct 5 ms 9776 KB Output is correct
20 Correct 7 ms 9812 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 6 ms 9812 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 5 ms 9804 KB Output is correct
25 Correct 6 ms 9812 KB Output is correct
26 Correct 5 ms 9812 KB Output is correct
27 Correct 6 ms 9812 KB Output is correct
28 Correct 5 ms 9720 KB Output is correct

Subtask #4
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9812 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9840 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 6 ms 9812 KB Output is correct
11 Correct 6 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 8 ms 9812 KB Output is correct
17 Correct 7 ms 9812 KB Output is correct
18 Correct 6 ms 9812 KB Output is correct
19 Correct 5 ms 9776 KB Output is correct
20 Correct 7 ms 9812 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 6 ms 9812 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 5 ms 9804 KB Output is correct
25 Correct 6 ms 9812 KB Output is correct
26 Correct 5 ms 9812 KB Output is correct
27 Correct 6 ms 9812 KB Output is correct
28 Correct 5 ms 9720 KB Output is correct
29 Correct 5 ms 9812 KB Output is correct
30 Correct 8 ms 9864 KB Output is correct
31 Correct 10 ms 9912 KB Output is correct
32 Correct 8 ms 9812 KB Output is correct
33 Correct 7 ms 9820 KB Output is correct
34 Correct 8 ms 9812 KB Output is correct
35 Correct 12 ms 10072 KB Output is correct
36 Correct 9 ms 9812 KB Output is correct
37 Correct 8 ms 9812 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 6 ms 9812 KB Output is correct
4 Correct 5 ms 9812 KB Output is correct
5 Correct 6 ms 9840 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 6 ms 9812 KB Output is correct
11 Correct 6 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 5 ms 9724 KB Output is correct
15 Correct 5 ms 9684 KB Output is correct
16 Correct 8 ms 9812 KB Output is correct
17 Correct 7 ms 9812 KB Output is correct
18 Correct 6 ms 9812 KB Output is correct
19 Correct 5 ms 9776 KB Output is correct
20 Correct 7 ms 9812 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 6 ms 9812 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 5 ms 9804 KB Output is correct
25 Correct 6 ms 9812 KB Output is correct
26 Correct 5 ms 9812 KB Output is correct
27 Correct 6 ms 9812 KB Output is correct
28 Correct 5 ms 9720 KB Output is correct
29 Correct 5 ms 9812 KB Output is correct
30 Correct 8 ms 9864 KB Output is correct
31 Correct 10 ms 9912 KB Output is correct
32 Correct 8 ms 9812 KB Output is correct
33 Correct 7 ms 9820 KB Output is correct
34 Correct 8 ms 9812 KB Output is correct
35 Correct 12 ms 10072 KB Output is correct
36 Correct 9 ms 9812 KB Output is correct
37 Correct 8 ms 9812 KB Output is correct
38 Correct 28 ms 11476 KB Output is correct
39 Correct 55 ms 43528 KB Output is correct
40 Correct 207 ms 13728 KB Output is correct
41 Correct 106 ms 11388 KB Output is correct
42 Correct 130 ms 13692 KB Output is correct
43 Correct 37 ms 11456 KB Output is correct
44 Correct 52 ms 10444 KB Output is correct
45 Correct 65 ms 38492 KB Output is correct
46 Correct 71 ms 38444 KB Output is correct
47 Correct 66 ms 41232 KB Output is correct
48 Correct 74 ms 41224 KB Output is correct
49 Correct 68 ms 38632 KB Output is correct
50 Correct 68 ms 38592 KB Output is correct
51 Correct 61 ms 39328 KB Output is correct
52 Correct 62 ms 39476 KB Output is correct
53 Correct 75 ms 11888 KB Output is correct
54 Correct 76 ms 39172 KB Output is correct

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9780 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 9 ms 9684 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 9 ms 9856 KB Output is correct
13 Correct 63 ms 9936 KB Output is correct
14 Correct 41 ms 9816 KB Output is correct
15 Correct 46 ms 9864 KB Output is correct
16 Correct 70 ms 39836 KB Output is correct
17 Correct 165 ms 51884 KB Output is correct
18 Correct 402 ms 93492 KB Output is correct
19 Incorrect 105 ms 42108 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 5 ms 9732 KB Output is correct
4 Correct 12 ms 9812 KB Output is correct
5 Correct 22 ms 9816 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 8 ms 9812 KB Output is correct
9 Correct 30 ms 11488 KB Output is correct
10 Correct 54 ms 43460 KB Output is correct
11 Correct 8 ms 9684 KB Output is correct
12 Correct 27 ms 9812 KB Output is correct
13 Correct 62 ms 45512 KB Output is correct
14 Correct 64 ms 45472 KB Output is correct
15 Correct 77 ms 45484 KB Output is correct
16 Correct 93 ms 47528 KB Output is correct
17 Correct 65 ms 45676 KB Output is correct
18 Correct 74 ms 47628 KB Output is correct
19 Correct 65 ms 45636 KB Output is correct
20 Correct 65 ms 45600 KB Output is correct
21 Correct 66 ms 45572 KB Output is correct
22 Correct 71 ms 45552 KB Output is correct
23 Correct 5 ms 9684 KB Output is correct
24 Correct 6 ms 9684 KB Output is correct
25 Correct 6 ms 9812 KB Output is correct
26 Correct 5 ms 9812 KB Output is correct
27 Correct 6 ms 9840 KB Output is correct
28 Correct 6 ms 9812 KB Output is correct
29 Correct 6 ms 9812 KB Output is correct
30 Correct 6 ms 9812 KB Output is correct
31 Correct 6 ms 9812 KB Output is correct
32 Correct 6 ms 9812 KB Output is correct
33 Correct 6 ms 9812 KB Output is correct
34 Correct 7 ms 9812 KB Output is correct
35 Correct 5 ms 9812 KB Output is correct
36 Correct 5 ms 9724 KB Output is correct
37 Correct 5 ms 9684 KB Output is correct
38 Correct 8 ms 9812 KB Output is correct
39 Correct 7 ms 9812 KB Output is correct
40 Correct 6 ms 9812 KB Output is correct
41 Correct 5 ms 9776 KB Output is correct
42 Correct 7 ms 9812 KB Output is correct
43 Correct 6 ms 9812 KB Output is correct
44 Correct 6 ms 9812 KB Output is correct
45 Correct 5 ms 9684 KB Output is correct
46 Correct 5 ms 9804 KB Output is correct
47 Correct 6 ms 9812 KB Output is correct
48 Correct 5 ms 9812 KB Output is correct
49 Correct 6 ms 9812 KB Output is correct
50 Correct 5 ms 9720 KB Output is correct
51 Correct 5 ms 9812 KB Output is correct
52 Correct 8 ms 9864 KB Output is correct
53 Correct 10 ms 9912 KB Output is correct
54 Correct 8 ms 9812 KB Output is correct
55 Correct 7 ms 9820 KB Output is correct
56 Correct 8 ms 9812 KB Output is correct
57 Correct 12 ms 10072 KB Output is correct
58 Correct 9 ms 9812 KB Output is correct
59 Correct 8 ms 9812 KB Output is correct
60 Correct 28 ms 11476 KB Output is correct
61 Correct 55 ms 43528 KB Output is correct
62 Correct 207 ms 13728 KB Output is correct
63 Correct 106 ms 11388 KB Output is correct
64 Correct 130 ms 13692 KB Output is correct
65 Correct 37 ms 11456 KB Output is correct
66 Correct 52 ms 10444 KB Output is correct
67 Correct 65 ms 38492 KB Output is correct
68 Correct 71 ms 38444 KB Output is correct
69 Correct 66 ms 41232 KB Output is correct
70 Correct 74 ms 41224 KB Output is correct
71 Correct 68 ms 38632 KB Output is correct
72 Correct 68 ms 38592 KB Output is correct
73 Correct 61 ms 39328 KB Output is correct
74 Correct 62 ms 39476 KB Output is correct
75 Correct 75 ms 11888 KB Output is correct
76 Correct 76 ms 39172 KB Output is correct
77 Correct 5 ms 9684 KB Output is correct
78 Correct 5 ms 9780 KB Output is correct
79 Correct 5 ms 9684 KB Output is correct
80 Correct 4 ms 9684 KB Output is correct
81 Correct 9 ms 9684 KB Output is correct
82 Correct 5 ms 9812 KB Output is correct
83 Correct 5 ms 9812 KB Output is correct
84 Correct 5 ms 9684 KB Output is correct
85 Correct 5 ms 9684 KB Output is correct
86 Correct 5 ms 9684 KB Output is correct
87 Correct 5 ms 9684 KB Output is correct
88 Correct 9 ms 9856 KB Output is correct
89 Correct 63 ms 9936 KB Output is correct
90 Correct 41 ms 9816 KB Output is correct
91 Correct 46 ms 9864 KB Output is correct
92 Correct 70 ms 39836 KB Output is correct
93 Correct 165 ms 51884 KB Output is correct
94 Correct 402 ms 93492 KB Output is correct
95 Incorrect 105 ms 42108 KB Output isn't correct
96 Halted 0 ms 0 KB -