QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#794548#9570. Binary TreefryanAC ✓209ms20616kbC++143.2kb2024-11-30 14:52:152024-11-30 14:52:16

Judging History

你现在查看的是最新测评结果

  • [2024-11-30 14:52:16]
  • 评测
  • 测评结果:AC
  • 用时:209ms
  • 内存:20616kb
  • [2024-11-30 14:52:15]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x), end(x)
#define sz(x) (int) (x).size()
#define int long long

const int mxn = 2e5+1;

int n,sub[mxn],vis[mxn];
vector<int> adj[mxn];

int siz;

int dfs(int v) {
	if (vis[v]) return 0;
	vis[v] = 1;
	sub[v] = 1;
	int mx = 0;
	int res = 0;
	for (int u : adj[v]) {
		if (!vis[u]) {
			res = max(res,dfs(u));
			sub[v] += sub[u];
			mx = max(mx,sub[u]);
		}
	}
	mx = max(mx,siz-sub[v]);
	if (siz/2 >= mx) res = v;
	return res;
}

void solve() {
	cin>>n;
	for (int i=1; i<=n; i++) {
		adj[i].clear();
	}
	for (int i=1; i<=n; i++) {
		int u,v; cin>>u>>v;
		if (u) adj[i].push_back(u);
		if (v) adj[i].push_back(v);
		if (u) adj[u].push_back(i);
		if (v) adj[v].push_back(i);
//		cout<<u<<" "<<v<<endl;
	}
	
	siz = n;
	int crt = 1;
	while (siz > 1) {
		for (int i=1; i<=n; i++) vis[i] = 0;
		int rt = dfs(crt);
		if (sz(adj[rt]) == 3) {
			int u1 = adj[rt][0];
			int u2 = adj[rt][1];
			int u3 = adj[rt][2];
			
			int s1 = sub[u1]; if (s1 > sub[rt]) s1 = siz - sub[rt];
			int s2 = sub[u2]; if (s2 > sub[rt]) s2 = siz - sub[rt];
			int s3 = sub[u3]; if (s3 > sub[rt]) s3 = siz - sub[rt];
			/*
			cout<<u1<<" "<<u2<<" "<<u3<<"..."<<s1<<" "<<s2<<" "<<s3<<endl;;
			cout<<rt<<" "<<sub[rt]<<endl;
			cout<<sub[u1]<<" "<<sub[u2]<<" "<<sub[u3]<<endl;
			*/
			int mins = min(s1,min(s2,s3));
			
			int v1,v2,v3;
			if (s3 == mins) {
				v1 = u1, v2 = u2, v3 = u3;
			} else if (s2 == mins) {
				v1 = u1, v2 = u3, v3 = u2;
			} else if (s1 == mins) {
				v1 = u2, v2 = u3, v3 = u1;
			}
			
			cout<<"? "<<v1<<" "<<v2<<endl;
		//	cout<<v1<<" "<<v2<<" "<<v3<<" "<<s1<<" "<<s2<<" "<<s3<<"\n";
			int t; cin>>t;
			if (t==0) {
				crt = v1;
				adj[v1].erase(find(all(adj[v1]),rt));
				if (u1==v1) siz=s1;
				else if (u2==v1) siz = s2;
				else if (u3==v1) siz = s3;
			} else if (t==1) {
				crt = rt;
				adj[rt].erase(find(all(adj[rt]),v1));
				adj[rt].erase(find(all(adj[rt]),v2));
				if (u1==v3) siz=s1+1;
				else if (u2==v3) siz = s2+1;
				else if (u3==v3) siz = s3+1;
		//		cout<<siz<<endl
			} else if (t==2) {
				crt = v2;
				adj[v2].erase(find(all(adj[v2]),rt));
				if (u1==v2) siz=s1;
				else if (u2==v2) siz = s2;
				else if (u3==v2) siz = s3;
			}
		} else if (sz(adj[rt]) == 2) {
			int u1 = adj[rt][0]; 
			int u2 = adj[rt][1]; 
			
			int s1 = sub[u1]; if (s1 > sub[rt]) s1 = siz - sub[rt];
			int s2 = sub[u2]; if (s2 > sub[rt]) s2 = siz - sub[rt];
			
			cout<<"? "<<u1<<" "<<u2<<endl;
			int t; cin>>t;
			if (t==0) {
				crt = u1;
				adj[u1].erase(find(all(adj[u1]),rt));
				siz = s1;
			} else if (t==1) {
				crt = rt;
				siz = 1;
			} else if (t==2) {
				crt = u2;
				adj[u2].erase(find(all(adj[u2]),rt));
				siz = s2;
			}
		} else if (sz(adj[rt]) == 1) {
			int u1 = rt;
			int u2 = adj[rt][0];
			assert(siz==2);
			cout<<"? "<<u1<<" "<<u2<<endl;
			int t; cin>>t;
			if (t==0) {
				siz = 1;
				crt = u1;
			} else if (t==2) {
				siz = 1;
				crt = u2;
			} else {
				cout<<"WTF";
			}
		}
	}
	cout<<"! "<<crt<<endl;
}

signed main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);
	
	int t; cin>>t;
	while (t--) {
		solve();
	}
	
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 9840kb

input:

2
5
0 0
1 5
2 4
0 0
0 0
2
0
2
0 2
0 0
2

output:

? 1 3
? 3 4
! 3
? 1 2
! 2

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 67ms
memory: 11320kb

input:

5555
8
2 0
8 6
0 0
3 0
0 0
7 0
0 0
5 4
0
2
0
8
0 0
1 4
2 0
0 0
7 8
0 0
3 0
6 0
2
2
0
8
5 8
0 0
1 7
0 0
0 0
4 2
0 0
6 0
0
1
2
5
4 5
3 1
0 0
0 0
0 0
1
0
8
0 0
0 0
5 6
0 0
1 4
2 0
3 8
0 0
0
2
5
3 0
5 1
0 0
0 0
4 0
0
0
5
5 0
0 0
0 0
3 0
2 4
2
2
3
3 0
1 0
0 0
2
2
2 0
0 0
2
3
2 3
0 0
0 0
2
10
2 8
9 7
0 0
...

output:

? 8 6
? 5 4
? 4 3
! 4
? 2 7
? 7 8
? 8 6
! 8
? 8 3
? 4 2
? 6 8
! 8
? 4 2
? 1 5
! 1
? 5 6
? 1 4
! 4
? 5 1
? 5 4
! 5
? 1 4
? 4 3
! 3
? 3 2
! 2
? 1 2
! 2
? 2 3
! 3
? 1 7
? 4 7
? 6 3
! 6
? 1 2
! 1
? 5 9
? 2 1
? 2 6
! 2
? 3 10
? 6 8
? 4 2
! 2
? 3 9
? 1 7
? 2 9
! 9
? 1 2
! 2
? 4 3
? 1 7
! 7
? 4 9
? 8 4
? 8...

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 32ms
memory: 10088kb

input:

600
2
2 0
0 0
2
3
2 0
3 0
0 0
2
4
4 0
1 0
0 0
3 0
0
0
5
4 0
0 0
1 0
2 0
3 0
2
0
6
4 0
6 0
2 0
5 0
0 0
1 0
2
0
7
7 0
3 0
6 0
5 0
2 0
1 0
0 0
0
1
8
7 0
0 0
2 0
8 0
1 0
5 0
3 0
6 0
2
2
2
9
7 0
4 0
2 0
1 0
0 0
8 0
9 0
5 0
6 0
2
0
0
10
9 0
6 0
8 0
7 0
0 0
10 0
2 0
4 0
5 0
1 0
0
2
2
11
2 0
10 0
6 0
9 0
0 ...

output:

? 1 2
! 2
? 1 3
! 3
? 4 2
? 4 3
! 4
? 4 3
? 3 5
! 3
? 4 6
? 6 3
! 6
? 2 6
? 4 2
! 5
? 7 5
? 5 8
? 8 4
! 4
? 1 9
? 8 9
? 8 5
! 8
? 2 10
? 7 8
? 8 3
! 3
? 2 9
? 8 4
? 4 9
! 4
? 6 1
? 4 2
? 4 11
! 4
? 2 3
? 7 12
? 1 12
! 1
? 9 12
? 11 8
? 8 3
! 3
? 2 14
? 15 8
? 8 13
! 12
? 8 13
? 10 14
? 14 12
? 12 4
...

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 84ms
memory: 20616kb

input:

2
99999
21832 0
77205 0
62668 0
58313 0
14640 0
76941 0
62678 0
8464 0
43145 0
26195 0
46140 0
83205 0
40047 0
81645 0
27077 0
92036 0
14236 0
3576 0
15430 0
75654 0
29049 0
62218 0
83318 0
1116 0
77861 0
9755 0
49236 0
70959 0
62295 0
33580 0
88208 0
55840 0
71061 0
24695 0
88831 0
1891 0
57285 0
9...

output:

? 70790 43991
? 36882 98065
? 17626 87676
? 23816 44703
? 44123 980
? 61196 90504
? 11034 54094
? 34051 63621
? 26980 79154
? 55857 22501
? 15747 28077
? 76840 35270
? 8937 97062
? 22539 61940
? 43281 70074
? 70074 79154
! 79154
? 5676 85780
? 39704 57748
? 42043 58489
? 50842 30188
? 24131 36012
? ...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 47ms
memory: 15896kb

input:

15
3
0 0
1 0
2 0
1
7
6 0
3 0
5 0
0 0
7 0
4 0
1 0
2
2
15
6 0
5 0
1 0
7 0
14 0
11 0
15 0
12 0
2 0
4 0
9 0
13 0
0 0
8 0
3 0
0
0
0
31
3 0
31 0
17 0
23 0
4 0
13 0
1 0
12 0
6 0
0 0
20 0
26 0
14 0
29 0
8 0
25 0
21 0
19 0
5 0
15 0
18 0
10 0
22 0
7 0
28 0
2 0
24 0
30 0
27 0
9 0
16 0
2
0
0
2
63
15 0
62 0
5 0
...

output:

? 1 3
! 2
? 5 1
? 1 4
! 4
? 6 9
? 7 3
? 7 10
! 7
? 13 29
? 17 18
? 1 24
? 1 17
! 17
? 37 8
? 30 14
? 55 56
? 22 19
? 19 56
! 31
? 36 89
? 96 110
? 20 79
? 62 106
? 82 86
? 61 82
! 82
? 64 233
? 148 51
? 1 176
? 126 78
? 251 252
? 200 224
? 176 200
! 176
? 439 48
? 144 457
? 376 142
? 193 427
? 173 2...

result:

ok OK (15 test cases)

Test #6:

score: 0
Accepted
time: 49ms
memory: 15228kb

input:

16
2
2 0
0 0
2
4
4 0
3 0
1 0
0 0
2
2
8
5 0
0 0
4 0
8 0
2 0
3 0
6 0
1 0
0
2
2
16
2 0
5 0
1 0
11 0
13 0
14 0
8 0
6 0
0 0
4 0
3 0
7 0
15 0
10 0
16 0
9 0
2
0
0
0
32
15 0
0 0
14 0
18 0
26 0
17 0
25 0
27 0
6 0
9 0
4 0
13 0
23 0
30 0
32 0
12 0
11 0
31 0
28 0
3 0
19 0
10 0
22 0
7 0
5 0
29 0
24 0
20 0
21 0
1...

output:

? 1 2
! 2
? 4 3
? 3 2
! 2
? 4 1
? 4 6
? 6 7
! 7
? 1 11
? 6 10
? 7 6
? 7 12
! 7
? 13 16
? 19 29
? 7 5
? 7 27
? 27 8
! 27
? 8 24
? 6 20
? 13 10
? 32 25
? 7 25
? 7 29
! 7
? 80 113
? 16 115
? 63 112
? 50 25
? 89 81
? 11 81
? 11 114
! 114
? 3 106
? 82 72
? 78 224
? 13 105
? 44 156
? 54 184
? 184 212
? 21...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 53ms
memory: 15560kb

input:

15
2
2 0
0 0
2
6
5 0
1 0
6 0
2 0
3 0
0 0
0
2
14
12 0
0 0
11 0
5 0
7 0
1 0
8 0
10 0
14 0
13 0
6 0
9 0
2 0
4 0
2
0
1
30
10 0
29 0
23 0
28 0
9 0
14 0
2 0
30 0
19 0
0 0
15 0
1 0
22 0
8 0
18 0
27 0
7 0
24 0
26 0
3 0
20 0
25 0
6 0
17 0
4 0
12 0
21 0
16 0
13 0
5 0
2
0
0
2
62
24 0
22 0
18 0
17 0
49 0
53 0
3...

output:

? 1 2
! 2
? 5 2
? 6 5
! 5
? 9 4
? 7 10
? 4 7
! 5
? 20 27
? 2 13
? 18 17
? 11 18
! 18
? 33 30
? 4 32
? 11 31
? 19 59
? 11 59
! 37
? 9 94
? 59 69
? 17 52
? 111 44
? 46 51
? 52 51
! 52
? 100 12
? 71 118
? 62 146
? 36 61
? 48 247
? 155 179
? 146 179
! 179
? 68 449
? 190 319
? 239 141
? 62 353
? 265 488
...

result:

ok OK (15 test cases)

Test #8:

score: 0
Accepted
time: 38ms
memory: 10732kb

input:

600
2
2 0
0 0
2
3
3 2
0 0
0 0
2
4
3 0
0 0
0 0
1 2
2
2
5
0 0
3 1
4 5
0 0
0 0
0
0
6
3 5
1 4
0 0
6 0
0 0
0 0
2
0
7
3 7
0 0
0 0
2 5
0 0
1 4
0 0
2
0
8
0 0
3 7
1 0
2 5
6 8
0 0
0 0
0 0
2
1
2
9
9 8
0 0
7 2
0 0
0 0
0 0
0 0
4 5
3 6
0
1
0
10
3 6
8 0
4 2
5 7
0 0
10 9
0 0
0 0
0 0
0 0
0
1
2
11
0 0
4 9
5 8
6 3
0 0...

output:

? 1 2
! 2
? 3 2
! 2
? 3 4
? 4 2
! 2
? 2 4
? 2 1
! 2
? 3 2
? 2 6
! 2
? 1 4
? 2 5
! 2
? 3 4
? 4 6
? 5 8
! 8
? 1 3
? 1 4
? 8 5
! 8
? 1 4
? 1 10
? 6 9
! 9
? 2 6
? 5 8
? 3 4
! 4
? 1 11
? 1 4
? 4 10
! 4
? 7 13
? 9 11
? 6 5
! 6
? 12 11
? 5 10
? 2 6
! 2
? 8 14
? 4 9
? 1 3
! 3
? 10 9
? 8 2
? 16 12
! 2
? 2 3
...

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 72ms
memory: 16212kb

input:

2
99999
0 0
7999 97267
75750 37659
0 0
0 0
33761 92098
90707 18838
13602 27569
0 0
0 0
0 0
0 0
0 0
0 0
0 0
14586 86647
1519 23132
0 0
3430 14643
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
47066 36968
95308 38482
34100 25297
0 0
0 0
0 0
0 0
88902 58991
0 0
0 0
66315 68538
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0...

output:

? 69076 50379
? 11838 79924
? 18079 15463
? 72017 29994
? 80147 27856
? 80763 26264
? 39876 84186
? 73287 34615
? 43462 43070
? 38721 85806
? 84940 93114
? 3443 79116
? 49016 68555
? 56289 87545
? 32426 3887
! 3887
? 78976 72481
? 84675 96633
? 2124 81852
? 13836 79494
? 80643 24965
? 38932 5573
? 5...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 47ms
memory: 13384kb

input:

15
3
3 2
0 0
0 0
1
7
0 0
3 6
0 0
7 2
0 0
0 0
5 1
2
2
15
14 12
0 0
0 0
0 0
8 6
10 11
0 0
3 7
2 4
0 0
0 0
0 0
15 5
0 0
9 1
0
0
0
31
4 9
0 0
29 17
0 0
0 0
15 31
5 21
18 14
0 0
0 0
0 0
16 2
12 7
0 0
23 10
0 0
30 13
0 0
24 27
11 26
0 0
0 0
0 0
0 0
19 20
0 0
0 0
0 0
6 25
8 1
28 22
2
0
0
2
63
53 48
40 57
0...

output:

? 3 2
! 1
? 7 2
? 3 6
! 6
? 15 5
? 9 1
? 2 4
! 2
? 29 17
? 30 13
? 8 1
? 18 14
! 14
? 1 2
? 53 48
? 63 19
? 30 56
? 55 59
! 56
? 20 115
? 71 68
? 67 3
? 18 16
? 123 55
? 117 104
! 104
? 70 140
? 78 250
? 223 4
? 220 204
? 67 144
? 75 15
? 242 199
! 242
? 60 121
? 414 74
? 99 184
? 301 403
? 425 477
...

result:

ok OK (15 test cases)

Test #11:

score: 0
Accepted
time: 40ms
memory: 13268kb

input:

16
2
0 0
1 0
2
4
4 2
0 0
0 0
3 0
0
0
8
3 0
0 0
0 0
0 0
1 2
0 0
6 4
5 7
2
1
0
16
16 15
0 0
0 0
0 0
7 11
8 10
0 0
13 0
0 0
0 0
0 0
3 9
0 0
4 2
5 14
6 12
0
0
0
2
32
0 0
22 21
25 18
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
5 10
30 0
1 24
12 31
0 0
0 0
16 8
3 15
11 26
23 14
28 20
6 9
0 0
13 27
0 0
0 0
7 17
0 0
0 ...

output:

? 1 2
! 2
? 4 2
? 4 3
! 4
? 1 8
? 6 4
? 7 8
! 7
? 16 15
? 6 12
? 8 10
? 8 13
! 13
? 19 2
? 3 15
? 25 18
? 13 27
? 13 30
! 13
? 9 14
? 58 24
? 29 32
? 17 3
? 15 39
? 15 57
! 15
? 28 83
? 75 21
? 10 7
? 30 38
? 41 44
? 70 24
! 24
? 221 218
? 199 243
? 66 123
? 52 201
? 204 163
? 237 42
? 190 29
! 42
?...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 40ms
memory: 12932kb

input:

15
2
0 0
1 0
2
6
6 4
1 5
0 0
0 0
3 0
0 0
2
2
14
0 0
1 7
5 11
13 9
0 0
2 8
0 0
10 0
0 0
0 0
0 0
14 6
0 0
3 4
0
0
1
30
7 0
5 13
0 0
0 0
14 30
15 20
0 0
0 0
3 19
0 0
0 0
11 21
9 1
16 24
0 0
0 0
28 2
8 10
0 0
0 0
0 0
0 0
18 6
0 0
4 29
12 25
0 0
23 26
0 0
27 22
0
0
0
2
62
0 0
0 0
28 47
7 38
0 0
0 0
17 26...

output:

? 1 2
! 2
? 6 2
? 2 3
! 3
? 14 6
? 3 4
? 5 11
! 3
? 28 2
? 23 26
? 18 6
? 8 10
! 10
? 36 61
? 18 30
? 31 50
? 10 51
? 42 44
! 44
? 18 44
? 53 93
? 75 45
? 107 41
? 80 32
? 57 89
! 32
? 253 196
? 42 224
? 178 31
? 218 103
? 244 223
? 102 147
? 62 32
! 32
? 69 30
? 210 172
? 19 233
? 188 349
? 94 198
...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 19ms
memory: 9612kb

input:

600
2
0 0
1 0
2
3
0 0
1 3
0 0
2
4
2 4
0 0
0 0
3 0
2
2
5
2 5
0 0
0 0
0 0
4 3
0
0
6
6 4
0 0
0 0
3 0
2 1
0 0
0
2
7
0 0
0 0
2 4
5 6
0 0
0 0
1 3
0
0
8
2 7
0 0
6 0
0 0
8 3
0 0
4 5
0 0
2
2
0
9
5 2
0 0
7 4
6 8
0 0
0 0
0 0
9 1
0 0
0
0
2
10
3 5
10 7
0 0
0 0
6 2
0 0
4 0
9 1
0 0
0 0
2
2
2
11
9 6
4 1
0 0
0 0
11 ...

output:

? 1 2
! 2
? 1 3
! 3
? 2 4
? 4 3
! 3
? 1 4
? 1 2
! 1
? 4 5
? 4 3
! 3
? 4 7
? 5 6
! 5
? 1 5
? 8 3
? 3 6
! 3
? 4 1
? 3 6
? 3 7
! 7
? 1 2
? 10 7
? 7 4
! 4
? 1 10
? 11 10
? 5 8
! 5
? 1 12
? 12 11
? 11 2
! 11
? 2 4
? 12 2
? 2 10
! 10
? 8 12
? 12 14
? 14 13
! 13
? 14 9
? 1 14
? 11 15
! 11
? 15 10
? 2 10
? ...

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 60ms
memory: 19932kb

input:

2
99999
96748 53986
34197 77552
29863 63559
79099 26449
45078 1051
0 0
27416 4135
0 0
38606 81189
93892 68603
48776 185
79602 18311
51243 83678
89044 40032
28883 35663
0 0
0 0
21603 15821
0 0
51448 75971
70275 8326
0 0
0 0
57049 72937
3297 94939
0 0
59258 39159
3205 34675
54876 24769
0 0
0 0
0 0
851...

output:

? 71188 96970
? 6820 87538
? 32876 59029
? 46360 20365
? 49372 9490
? 17131 97012
? 63260 47373
? 54267 50792
? 90948 40354
? 57900 28477
? 45466 57947
? 49953 61749
? 74237 46253
? 80813 36006
? 50792 80813
? 80813 51961
! 80813
? 86513 70265
? 11800 36225
? 25987 99536
? 59217 63730
? 29352 84543
...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 42ms
memory: 14644kb

input:

15
3
0 0
1 3
0 0
1
7
0 0
1 7
0 0
6 2
3 4
0 0
0 0
0
1
15
2 11
0 0
13 1
12 14
0 0
0 0
5 8
10 4
0 0
0 0
0 0
0 0
0 0
6 15
9 3
2
0
1
31
24 22
0 0
31 6
0 0
4 3
11 19
0 0
0 0
28 21
25 20
0 0
0 0
0 0
2 16
0 0
27 18
8 10
15 17
26 1
23 29
7 5
12 14
0 0
0 0
0 0
0 0
0 0
0 0
30 13
0 0
0 0
2
0
2
0
63
51 35
33 57
...

output:

? 1 3
! 2
? 2 5
? 1 7
! 2
? 4 15
? 1 15
? 2 11
! 1
? 1 14
? 10 18
? 10 29
? 30 13
! 30
? 38 44
? 1 42
? 9 2
? 2 34
? 5 23
! 5
? 51 31
? 62 96
? 8 100
? 52 89
? 82 52
? 70 57
! 57
? 122 124
? 162 102
? 84 231
? 110 135
? 147 223
? 147 236
? 201 80
! 80
? 266 322
? 146 414
? 72 335
? 66 306
? 89 76
? ...

result:

ok OK (15 test cases)

Test #16:

score: 0
Accepted
time: 48ms
memory: 14988kb

input:

16
2
0 0
1 0
2
4
0 0
1 0
4 2
0 0
2
2
8
0 0
0 0
0 0
3 5
8 6
2 0
1 4
0 0
0
2
2
16
0 0
7 8
0 0
1 2
0 0
0 0
0 0
5 10
3 0
12 16
14 13
0 0
15 4
0 0
0 0
6 9
0
2
2
0
32
26 17
5 31
28 25
18 7
0 0
0 0
14 12
15 0
22 4
0 0
29 1
19 2
0 0
0 0
0 0
6 8
10 21
0 0
0 0
0 0
13 3
0 0
0 0
0 0
32 30
0 0
20 9
0 0
0 0
23 16...

output:

? 1 2
! 2
? 1 3
? 3 4
! 4
? 5 7
? 8 6
? 6 2
! 2
? 8 4
? 8 16
? 6 9
? 9 3
! 9
? 17 11
? 7 2
? 7 9
? 22 27
? 27 20
! 27
? 31 10
? 60 6
? 22 45
? 45 26
? 14 4
? 14 64
! 64
? 37 24
? 56 55
? 25 61
? 10 115
? 85 115
? 27 120
? 120 21
! 120
? 60 89
? 208 248
? 99 203
? 234 222
? 108 210
? 173 108
? 131 42...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 48ms
memory: 15544kb

input:

15
2
0 0
1 0
2
6
0 0
5 0
1 2
0 0
0 0
4 3
2
0
14
8 14
0 0
0 0
0 0
0 0
12 11
10 0
0 0
2 7
0 0
4 1
0 0
3 6
5 9
2
0
0
30
29 21
6 9
0 0
0 0
0 0
0 0
0 0
19 17
24 30
0 0
14 26
23 0
0 0
0 0
25 18
0 0
7 20
16 12
0 0
13 11
28 8
10 15
0 0
0 0
0 0
3 22
5 2
0 0
0 0
4 1
0
2
0
2
62
0 0
34 33
0 0
0 0
0 0
37 45
0 0
...

output:

? 1 2
! 2
? 2 6
? 6 4
! 6
? 14 11
? 11 13
? 11 4
! 11
? 8 20
? 9 1
? 1 8
? 1 29
! 29
? 42 59
? 12 31
? 19 40
? 12 40
? 40 47
! 47
? 40 17
? 11 102
? 27 88
? 3 93
? 93 27
? 93 89
! 89
? 90 189
? 158 221
? 198 132
? 32 240
? 4 49
? 49 240
? 49 1
! 49
? 60 192
? 29 303
? 190 312
? 241 495
? 35 402
? 71...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 65ms
memory: 15292kb

input:

2
99999
0 0
88119 0
72740 0
6901 19702
0 0
10620 84889
0 0
9552 63972
45156 60768
9152 72379
0 0
59875 97207
48193 0
17282 54916
65927 27713
80083 15817
36966 75381
0 0
77279 56298
0 0
11554 61779
0 0
89976 0
65282 42151
95206 62876
97329 86772
0 0
0 0
0 0
11820 0
0 0
20432 0
50520 39907
0 0
46948 1...

output:

? 35226 52174
? 26122 16093
? 11494 10853
? 11494 91694
? 73088 90037
? 21572 90037
? 51091 91442
? 7067 93596
? 14316 75096
? 55875 75096
? 41734 42793
? 42793 59747
? 472 67072
? 59747 64770
! 92650
? 80592 36933
? 68004 50906
? 65219 73367
? 33796 20489
? 19704 74041
? 35779 74041
? 35779 85560
?...

result:

ok OK (2 test cases)

Test #19:

score: 0
Accepted
time: 209ms
memory: 10276kb

input:

100000
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0...

output:

? 1 2
! 2
? 1 2
! 1
? 1 2
! 2
? 1 2
! 1
? 1 2
! 2
? 1 2
! 1
? 1 2
! 1
? 1 2
! 1
? 1 2
! 1
? 1 2
! 2
? 1 2
! 1
? 1 2
! 1
? 1 2
! 2
? 1 2
! 2
? 1 2
! 1
? 1 2
! 2
? 1 2
! 2
? 1 2
! 2
? 1 2
! 2
? 1 2
! 1
? 1 2
! 1
? 1 2
! 1
? 1 2
! 2
? 1 2
! 1
? 1 2
! 1
? 1 2
! 2
? 1 2
! 2
? 1 2
! 2
? 1 2
! 2
? 1 2
! 2
...

result:

ok OK (100000 test cases)

Extra Test:

score: 0
Extra Test Passed