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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#732436#9570. Binary Treequark404#AC ✓296ms22400kbC++204.9kb2024-11-10 14:31:522024-11-10 14:31:53

Judging History

你现在查看的是最新测评结果

  • [2024-11-10 14:31:53]
  • 评测
  • 测评结果:AC
  • 用时:296ms
  • 内存:22400kb
  • [2024-11-10 14:31:52]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long

int n;
vector<int> mp[200005];
void init()
{
    cin >> n;
    for (int i = 1; i <= n; i++)
        mp[i].clear();
    for (int i = 1; i <= n; i++)
    {
        int x, y;
        cin >> x >> y;
        if (x != 0)
        {
            mp[x].push_back(i);
            mp[i].push_back(x);
        }
        if (y != 0)
        {
            mp[y].push_back(i);
            mp[i].push_back(y);
        }
    }
    return;
}
int query(int x, int y)
{
    cout << "? " << x << ' ' << y << endl;
    cout << flush;
    int tmp;
    cin >> tmp;
    return tmp;
}
void print_ans(int x)
{
    cout << "! " << x << endl;
    cout << flush;
    return;
}
set<pair<int, int>> ban;
vector<int> vised;
int siz[200005];
int from[200005];
void dfs_get_size(int x,int fa)
{
    vised.push_back(x);
    from[x]=fa;
    siz[x]=0;
    for(int y:mp[x])
    {
        if(y==fa) continue;
        if(ban.count({x,y})==1) continue;
        dfs_get_size(y,x);
        siz[x]+=siz[y];
    }
    siz[x]++;
}
const int INF=0x3f3f3f3f;
void solve()
{
    if (n == 1)
    {
        print_ans(1);
        return;
    }
    ban.clear();
    vised.clear();
    int can_cnt = 0;
    for (int i = 0; i <= 20; i++)
    {
        if ((1ll << i) <= n)
            can_cnt = i;
        else
            break;
    }
    siz[0]=0;
    from[0]=0;
    int ans=-1;
    int root=1;
    for(int i=can_cnt;i>=1;i--)
    {
        vised.clear();
        dfs_get_size(root,0);
        if(siz[root]==1)
        {
            ans=root;
            break;
        }
        for(int x:vised)
        {
//            cout<<"nowx="<<x<<endl;
            vector<pair<int,int>> near;
            for(int y:mp[x])
            {
                if(ban.count({x,y})==1) continue;
                if(y==from[x])
                    near.push_back({y,siz[root]-siz[x]});
                else near.push_back({y,siz[y]});
            }
            assert(near.size()<=3&&near.size()>0);
            int limit=((1ll<<i)-1);
            bool failed=false;
            for(int j=0;j<near.size();j++)
                if(near[j].second>limit)
                {
                    failed=true;
                    break;
                }
            if(failed==true) continue;
            // cout<<"x="<<x<<endl;
            // cout<<"near.size="<<near.size()<<endl;
            if(near.size()==1)
            {
                int y=near[0].first;
                int k=query(x,y);
                ban.insert({x,y});
                ban.insert({y,x});
                if(k==0) root=x;
                else if(k==2) root=y;
                else assert(false);
                break;
            }
            else if(near.size()==2)
            {
                int y=near[0].first,z=near[1].first;
                int k=query(y,z);
                ban.insert({x,y});
                ban.insert({y,x});
                ban.insert({x,z});
                ban.insert({z,x});
                if(k==1) root=x;
                else if(k==0) root=y;
                else if(k==2) root=z;
                else assert(false);
                break;
            }
            else if(near.size()==3)
            {
                int minv=INF;
                int minpos=-1;
                for(int j=0;j<near.size();j++)
                {
                    auto [y,cnt]=near[j];
                    if(cnt<minv)
                    {
                        minv=cnt;
                        minpos=j;
                    }
                }
                // cout<<"near:"<<endl;
                // for(int j=0;j<near.size();j++)
                // {
                //     auto [y,cnt]=near[j];
                //     cout<<y<<' '<<cnt<<endl;
                // }
                // cout<<"minpos="<<minpos<<endl;
                near[minpos].second++;
                near[minpos].first=root;
                int y,z;
                if(minpos==0) y=near[1].first,z=near[2].first;
                if(minpos==1) y=near[0].first,z=near[2].first;
                if(minpos==2) y=near[0].first,z=near[1].first;
                // cout<<"y,z="<<y<<" "<<z<<endl;
                int k=query(y,z);
                ban.insert({x,y});
                ban.insert({y,x});
                ban.insert({x,z});
                ban.insert({z,x});
                if(k==1) root=x;
                else if(k==0) root=y;
                else if(k==2) root=z;
                break;
            }
            else assert(false);
        }
    }
    //check 1
    dfs_get_size(root,0);
    if(siz[root]==1) ans=root;
    if(ans!=-1) print_ans(ans);
    else while(true);
    return;
}

signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    cin >> t;
    while (t--)
    {
        init();
        solve();
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5620kb

input:

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

output:

? 5 3
? 3 4
! 3
? 1 2
! 2

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 74ms
memory: 8284kb

input:

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

output:

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

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 51ms
memory: 5716kb

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
0
2
2
10
9 0
6 0
8 0
7 0
0 0
10 0
2 0
4 0
5 0
1 0
2
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 6
? 4 6
! 6
? 7 4
? 7 6
? 6 5
! 5
? 9 10
? 4 2
? 2 10
! 10
? 2 9
? 2 3
? 3 5
! 5
? 3 9
? 4 2
? 4 11
! 11
? 7 4
? 5 9
? 4 9
! 9
? 9 12
? 11 8
? 8 3
! 2
? 2 14
? 7 4
? 7 6
! 6
? 8 13
? 13 15
? 3 5
? 4 3
! 12
...

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 100ms
memory: 22400kb

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:

? 21832 43704
? 6971 71188
? 30458 63382
? 4304 93568
? 361 37874
? 9251 26340
? 15585 42013
? 25838 91382
? 997 95184
? 54153 90126
? 16353 95841
? 27550 77553
? 67839 5731
? 81712 93286
? 12935 72635
? 81712 72635
! 6699
? 86419 11993
? 85348 54998
? 12254 9029
? 20746 66376
? 12059 3912
? 77842 4...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 65ms
memory: 13284kb

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: 65ms
memory: 14128kb

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
2
0
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
? 5 8
? 3 8
? 3 7
! 7
? 2 3
? 4 3
? 14 8
? 4 14
! 4
? 15 31
? 12 30
? 26 21
? 25 24
? 8 24
! 8
? 12 18
? 3 60
? 61 42
? 57 21
? 4 30
? 4 21
! 21
? 79 44
? 57 124
? 97 61
? 18 71
? 117 83
? 67 108
? 67 61
! 61
? 20 31
? 90 113
? 116 254
? 131 61
? 107 228
? 210 97
? 143 88
?...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 62ms
memory: 13744kb

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: 34ms
memory: 7812kb

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

output:

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

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 74ms
memory: 13972kb

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:

? 22163 50379
? 18129 4652
? 11838 89914
? 9095 91827
? 42477 2178
? 35602 55790
? 67244 60938
? 3202 66638
? 68335 98564
? 33529 73935
? 36124 48516
? 78628 7732
? 69403 18726
? 62360 66017
? 73409 32345
? 92424 81769
! 73409
? 28897 96633
? 78976 42261
? 94970 92936
? 32997 84214
? 63614 49614
? 8...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 48ms
memory: 10064kb

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: 48ms
memory: 11508kb

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
2
2
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
0
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
? 3 5
? 5 7
? 6 4
! 4
? 16 15
? 6 12
? 8 10
? 8 13
! 8
? 1 14
? 3 32
? 22 21
? 28 20
? 7 17
! 17
? 1 45
? 58 37
? 19 40
? 63 55
? 5 50
? 52 13
! 50
? 1 106
? 92 13
? 75 21
? 122 47
? 67 112
? 98 34
? 35 72
! 35
? 30 191
? 245 3
? 199 243
? 66 123
? 52 201
? 215 255
? 249 27...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 43ms
memory: 11164kb

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
? 4 2
? 2 3
! 3
? 14 6
? 3 4
? 5 11
! 3
? 28 2
? 23 26
? 18 6
? 8 10
! 10
? 43 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 32
? 210 172
? 19 233
? 188 349
? 94 198
...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 54ms
memory: 5760kb

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

output:

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

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 86ms
memory: 19504kb

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:

? 25670 86830
? 27705 12118
? 34820 91439
? 37202 35531
? 82680 26126
? 64838 22055
? 73050 11523
? 56221 53041
? 86126 10520
? 31090 81379
? 31752 26164
? 32385 5421
? 24565 93057
? 78745 5271
? 5271 37716
? 55010 18716
! 18716
? 22682 43830
? 7212 95957
? 34464 41887
? 13389 55869
? 92898 35382
? ...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 57ms
memory: 13080kb

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: 55ms
memory: 13396kb

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
2
0
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
2
0
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 2
? 4 2
! 2
? 1 7
? 4 6
? 3 7
! 7
? 1 4
? 2 10
? 11 4
? 7 4
! 7
? 17 11
? 29 31
? 4 12
? 31 12
? 31 24
! 24
? 38 17
? 56 43
? 18 11
? 52 47
? 11 47
? 47 41
! 47
? 1 117
? 43 38
? 53 17
? 69 117
? 45 113
? 113 107
? 30 117
! 117
? 100 212
? 133 170
? 78 118
? 16 192
? 71 252
? 12 175
? ...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 51ms
memory: 13832kb

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: 81ms
memory: 13212kb

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:

? 51763 13322
? 57914 41486
? 57914 21726
? 93208 82363
? 21507 88655
? 49575 22873
? 80059 31411
? 31411 56439
? 44277 38000
? 38000 50612
? 8452 20498
? 45911 73433
? 73433 42183
? 42722 42183
? 42722 36125
? 36125 55005
! 36125
? 80592 36933
? 68004 50906
? 73367 20489
? 58198 49952
? 77738 33839...

result:

ok OK (2 test cases)

Test #19:

score: 0
Accepted
time: 296ms
memory: 5728kb

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