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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#758016#9570. Binary TreeEurekaAC ✓262ms16424kbC++145.5kb2024-11-17 15:08:342024-11-17 15:08:35

Judging History

你现在查看的是最新测评结果

  • [2024-11-17 15:08:35]
  • 评测
  • 测评结果:AC
  • 用时:262ms
  • 内存:16424kb
  • [2024-11-17 15:08:34]
  • 提交

answer


//
// Created by 16429 on 2024/11/17.
//
#include "bits/stdc++.h"
using namespace std;
const int N = 3e5+ 50;

struct node{
    int v,nt;
};

struct Tree{
    vector<int> head,id;
    vector<node> ed;
    vector<int> sz;
    int tot;
    int n;

    void init(int x){
        tot = 0;
        n = x;
        ed = vector<node>(2*(n+1),{0,0});
        sz = id = head = vector<int>(n+1,0);

    }

    void add_edge(int u,int v){
        ed[++tot] = {v,head[u]};
        head[u] = tot;
    }

};

int sz[N],  // 这个节点的「大小」(所有子树上节点数 + 该节点)
weight[N],  // 这个节点的「重量」,即所有子树「大小」的最大值
centroid[2];  // 用于记录树的重心(存的是节点编号)

void GetCentroid(int cur, int fa, Tree &tre) {  // cur 表示当前节点 (current)
    sz[cur] = 1;
    weight[cur] = 0;
    for (int i = tre.head[cur]; i; i = tre.ed[i].nt) {
        if (tre.ed[i].v != fa) {  // e[i].to 表示这条有向边所通向的节点。
            GetCentroid(tre.ed[i].v, cur, tre);
            sz[cur] += sz[tre.ed[i].v];
            weight[cur] = max(weight[cur], sz[tre.ed[i].v]);
        }
    }
    weight[cur] = max(weight[cur], tre.n - sz[cur]);
    if(weight[cur]<weight[centroid[0]]){
        centroid[0] = cur;
    }
}

int getzhong(Tree &tre){
    for (int i = 0; i <= tre.n; ++i) {
        sz[i] = weight[i] = centroid[0] = 0;
    }
    weight[0] = 1e9;
    GetCentroid(1, 0, tre);
    return centroid[0];
}

int gtsz(int nw,int fa,Tree &tre){

    int res = 1;
    for(int i= tre.head[nw]; i ; i = tre.ed[i].nt){
        int v = tre.ed[i].v;
        if(v==fa)continue;
        res += gtsz(v,nw,tre);
    }
    tre.sz[nw] = res;
    return res;
}

void cpt(int nw,int fa,Tree &tre,Tree &t2,int &ct,int t2f){
    for(int i= tre.head[nw]; i ; i = tre.ed[i].nt){
        int v = tre.ed[i].v;
        if(v==fa)continue;
        t2.id[++ct] = tre.id[v];
        t2.add_edge(t2f,ct);
        t2.add_edge(ct,t2f);
        int uu = ct;
        cpt(v,nw,tre,t2,ct,uu);
    }
}

void copyTree(Tree& t1,Tree& t2,int nw,int fa,vector<int> &bz){//吧t1的nw的子树给t2
    int sz = 1;

    auto fd = [](vector<int> &vc,int x){
        for(auto it:vc){
            if(it==x)return 1;
        }
        return 0;
    };

    for(int i= t1.head[nw]; i ; i = t1.ed[i].nt){
        int v = t1.ed[i].v;
        if(v==fa)continue;
        if(fd(bz,v))continue;
        sz += gtsz(v,nw,t1);
    }

    t2.init(sz);
    int ct = 1;
    t2.id[1] = t1.id[nw];



    for(int i= t1.head[nw]; i ; i = t1.ed[i].nt){
        int v = t1.ed[i].v;
        if(v==fa)continue;
        if(fd(bz,v))continue;
        t2.id[++ct] = t1.id[v];
        t2.add_edge(1,ct);
        t2.add_edge(ct,1);
        int uu = ct;
        cpt(v,nw,t1,t2,ct,uu);
    }

}

int qe(int u,int v,Tree &tre){
    cout<<"? "<<tre.id[u]<<' '<<tre.id[v]<<endl;
    fflush(stdout);
    int res;cin>>res;
    return res;

}

int querry(Tree &tre){
    if(tre.n==1){
        return tre.id[1];
    }

    int zx = getzhong(tre);

    vector<int> sn;

    gtsz(zx,0,tre);

    for(int i= tre.head[zx]; i ; i = tre.ed[i].nt){
        sn.push_back(tre.ed[i].v);
    }
    sort(sn.begin(),sn.end(),[&tre](int a,int b){
        return tre.sz[a]>tre.sz[b];
    });

    if(sn.size()==1){
        Tree t2;
        int uu = qe(zx,sn[0],tre);
        if(uu==0){
            return tre.id[zx];
        }
        vector<int> by;
        copyTree(tre,t2,sn[0],zx,by);
        return querry(t2);
    }else if(sn.size()==2){

        int uu = qe(sn[0],sn[1],tre);
        if(uu==1)return tre.id[zx];
        if(uu==2)swap(sn[0],sn[1]);
        vector<int> bz;
        Tree t2;
        copyTree(tre,t2,sn[0],zx,bz);
        return querry(t2);
    }else if(sn.size()==3){
        int uu = qe(sn[0],sn[1],tre);
        if(uu==1){
            vector<int> bz;bz.push_back(sn[1]);bz.push_back(sn[0]);
            Tree t2;
            copyTree(tre,t2,zx,0,bz);
            return querry(t2);
        }
        if(uu==0){
            vector<int> bz;
            Tree t2;
            copyTree(tre,t2,sn[0],zx,bz);
            return querry(t2);
        }
        if(uu==2){
            vector<int> bz;
            Tree t2;
            copyTree(tre,t2,sn[1],zx,bz);
            return querry(t2);
        }
    }else if(sn.size()==0){
        return tre.id[zx];
    }

    return -1;

}

void work(int shu){
    int n;cin>>n;
    Tree tre;
    tre.init(n);

    if(shu)cout<<n<<'\n';

    for(int i = 1;  i<= n ; ++i){
        int l;cin>>l;if(shu)cout<<l;
        if(l)tre.add_edge(i,l),tre.add_edge(l,i);
        cin>>l;if(shu)cout<<l;
        if(l)tre.add_edge(i,l),tre.add_edge(l,i);
    }

    for(int i = 1; i <= n ;++i)tre.id[i] = i;

    int res = querry(tre);

    cout<<"! "<<res<<endl;
    fflush(stdout);

}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);cout.tie(0);
    int t;cin>>t;
    for(int i = 1; i<= t;++i){
        work(0);
    }
    return 0;
}
/*
 1
 7
 0 0
 0 0
 2 0
 1 5
 3 6
 0 0
 0 4
 */
/*
1
10
2 3
0 0
4 5
6 0
0 7
8 9
10 0
0 0
0 0
0 0
 */
/*
1
20
2 3
 4 5
 6 7
 8 9
 10 11
 12 13
 14 15
 0 0
 16 0
 0 17
 0 0
 18 0
 0 0
 0 19
 0 0
 0 0
 0 0
 0 0
 20 0
 0 0

 */
/*
 1
 15
 2 0
 3 0
 4 15
 5 0
 6 0
 7 0
 8 0
 9 0
 10 0
 11 0
 12 0
 13 0
 14 0
 0 0
 0 0

 */

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3640kb

input:

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

output:

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

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 73ms
memory: 3868kb

input:

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

output:

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

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 21ms
memory: 3856kb

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

output:

? 2 1
! 1
? 3 1
! 1
? 1 3
? 2 1
! 2
? 3 4
? 2 4
! 2
? 1 2
? 5 1
! 5
? 6 2
? 7 6
! 1
? 1 6
? 7 2
? 1 7
! 1
? 9 1
? 4 3
? 1 4
! 4
? 6 7
? 9 10
? 5 9
! 9
? 9 2
? 6 10
? 2 10
! 10
? 9 2
? 3 12
? 9 3
! 9
? 3 2
? 8 10
? 3 8
! 7
? 4 13
? 6 1
? 5 6
! 6
? 14 2
? 7 4
? 2 4
! 4
? 1 15
? 16 11
? 6 1
? 16 6
! 16...

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 63ms
memory: 16424kb

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:

? 43991 70790
? 98261 46637
? 86742 20402
? 13737 93018
? 4868 75560
? 65796 40860
? 49099 29199
? 74859 87232
? 67538 71202
? 52208 44042
? 87946 81537
? 21526 10314
? 84090 94751
? 97430 24623
? 62395 10895
? 97430 62395
! 62395
? 44110 46352
? 63067 47168
? 38328 51576
? 75910 60860
? 42451 28720...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 46ms
memory: 10004kb

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:

? 3 1
! 2
? 1 5
? 2 5
! 5
? 9 6
? 8 5
? 13 8
! 13
? 29 13
? 2 16
? 15 12
? 11 15
! 15
? 8 37
? 10 24
? 57 12
? 41 25
? 12 25
! 63
? 89 36
? 6 71
? 101 116
? 57 64
? 44 25
? 6 44
! 44
? 233 64
? 246 68
? 239 76
? 34 110
? 160 163
? 212 57
? 76 212
! 76
? 48 439
? 437 468
? 274 3
? 425 25
? 289 290
? ...

result:

ok OK (15 test cases)

Test #6:

score: 0
Accepted
time: 46ms
memory: 9896kb

input:

16
2
2 0
0 0
2
4
4 0
3 0
1 0
0 0
0
0
8
5 0
0 0
4 0
8 0
2 0
3 0
6 0
1 0
0
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
0
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:

? 2 1
! 1
? 1 2
? 4 1
! 4
? 8 3
? 1 2
? 8 1
! 1
? 3 4
? 5 15
? 2 3
? 5 2
! 5
? 12 30
? 17 4
? 10 23
? 9 17
? 10 9
! 9
? 60 3
? 41 49
? 37 31
? 40 35
? 62 37
? 40 62
! 40
? 57 124
? 48 58
? 69 39
? 31 37
? 76 125
? 14 31
? 76 14
! 76
? 90 113
? 91 222
? 57 148
? 68 231
? 255 112
? 135 81
? 251 255
? ...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 40ms
memory: 10204kb

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
0
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
0
0
0
2
62
24 0
22 0
18 0
17 0
49 0
53 0
3...

output:

? 2 1
! 1
? 1 3
? 4 1
! 1
? 14 5
? 6 12
? 3 6
! 11
? 21 16
? 5 8
? 12 19
? 10 12
! 12
? 60 10
? 2 9
? 6 25
? 16 41
? 6 41
! 53
? 70 84
? 90 37
? 99 75
? 30 65
? 106 98
? 65 98
! 65
? 159 204
? 47 235
? 158 109
? 30 23
? 34 101
? 24 97
? 34 97
! 97
? 359 209
? 139 137
? 75 296
? 416 260
? 26 386
? 24...

result:

ok OK (15 test cases)

Test #8:

score: 0
Accepted
time: 40ms
memory: 5736kb

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
0
0
5
0 0
3 1
4 5
0 0
0 0
1
0
6
3 5
1 4
0 0
6 0
0 0
0 0
0
0
7
3 7
0 0
0 0
2 5
0 0
1 4
0 0
0
1
8
0 0
3 7
1 0
2 5
6 8
0 0
0 0
0 0
0
0
0
9
9 8
0 0
7 2
0 0
0 0
0 0
0 0
4 5
3 6
0
1
2
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:

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

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 56ms
memory: 9868kb

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:

? 50379 22163
? 79924 11838
? 15463 18079
? 41708 88632
? 40612 63141
? 54568 24579
? 88436 96127
? 59253 23667
? 34342 71622
? 49670 60263
? 32332 79650
? 53689 63598
? 67237 92912
? 71051 43075
? 86868 78460
! 78460
? 72481 42261
? 96633 84675
? 81852 2124
? 64228 84822
? 57178 19229
? 18837 76562...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 31ms
memory: 7516kb

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:

? 2 3
! 1
? 2 7
? 5 1
! 1
? 5 15
? 8 6
? 7 3
! 7
? 17 29
? 6 25
? 31 15
? 28 22
! 22
? 2 1
? 40 57
? 44 6
? 62 35
? 41 14
! 35
? 115 20
? 48 45
? 127 101
? 29 78
? 74 41
? 31 116
! 116
? 140 70
? 206 196
? 152 135
? 180 95
? 62 187
? 12 72
? 27 183
! 27
? 121 60
? 305 71
? 106 308
? 135 17
? 66 120
...

result:

ok OK (15 test cases)

Test #11:

score: 0
Accepted
time: 32ms
memory: 7340kb

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
0
0
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
1
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 0
...

output:

? 2 1
! 1
? 1 3
? 2 1
! 2
? 5 7
? 5 3
? 2 5
! 5
? 1 6
? 5 14
? 11 7
! 5
? 32 3
? 22 21
? 20 28
? 11 26
! 26
? 37 58
? 19 40
? 55 63
? 4 18
? 25 35
! 18
? 92 13
? 92 57
? 102 80
? 108 48
? 90 50
? 119 117
! 50
? 245 3
? 245 223
? 131 150
? 242 88
? 179 151
? 73 83
? 85 14
! 14
? 39 511
? 39 289
? 33 ...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 29ms
memory: 7304kb

input:

15
2
0 0
1 0
2
6
6 4
1 5
0 0
0 0
3 0
0 0
0
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
2
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
0
62
0 0
0 0
28 47
7 38
0 0
0 0
17 26...

output:

? 2 1
! 1
? 1 5
? 6 4
! 4
? 12 4
? 2 8
? 7 1
! 1
? 17 26
? 5 13
? 30 14
? 27 22
! 27
? 16 57
? 36 43
? 4 12
? 22 15
? 27 60
! 60
? 125 93
? 17 123
? 5 15
? 10 84
? 9 83
? 65 101
! 101
? 241 224
? 112 193
? 124 88
? 254 99
? 110 162
? 125 248
? 84 219
! 125
? 284 376
? 30 32
? 159 98
? 43 40
? 328 78...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 46ms
memory: 3716kb

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

output:

? 2 1
! 1
? 3 1
! 1
? 1 3
? 2 1
! 2
? 1 3
? 4 5
! 4
? 5 4
? 2 5
! 2
? 4 7
? 5 6
! 4
? 7 3
? 7 2
? 4 7
! 4
? 4 1
? 4 7
? 6 4
! 4
? 2 1
? 1 9
? 3 1
! 3
? 10 1
? 10 11
? 8 5
! 5
? 4 7
? 8 4
? 5 4
! 5
? 2 4
? 12 2
? 7 12
! 12
? 12 8
? 14 12
? 2 12
! 12
? 14 9
? 1 14
? 15 11
! 11
? 1 6
? 15 16
? 15 14
? ...

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 68ms
memory: 13484kb

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
? 87538 6820
? 59029 32876
? 46360 20365
? 49372 9490
? 51870 93805
? 74496 96975
? 90932 266
? 99552 77780
? 24315 12293
? 74615 44540
? 87219 24616
? 14335 9478
? 10014 80477
? 14335 10014
? 32846 10014
! 32846
? 50499 6749
? 17715 75012
? 31421 58179
? 64768 20076
? 98628 64370
? 63...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 34ms
memory: 8668kb

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
0
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
0
0
0
0
63
51 35
33 57
...

output:

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

result:

ok OK (15 test cases)

Test #16:

score: 0
Accepted
time: 39ms
memory: 10404kb

input:

16
2
0 0
1 0
2
4
0 0
1 0
4 2
0 0
0
0
8
0 0
0 0
0 0
3 5
8 6
2 0
1 4
0 0
0
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
0
0
0
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:

? 2 1
! 1
? 2 4
? 1 2
! 1
? 4 6
? 4 1
? 3 4
! 4
? 2 10
? 4 11
? 4 7
? 1 4
! 1
? 1 31
? 3 30
? 21 1
? 21 28
? 13 21
! 21
? 56 43
? 19 25
? 55 36
? 51 19
? 51 50
? 21 51
! 21
? 38 43
? 17 53
? 117 69
? 113 45
? 123 117
? 123 109
? 102 123
! 102
? 133 170
? 75 121
? 14 197
? 1 90
? 3 103
? 95 1
? 95 40...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 39ms
memory: 9048kb

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:

? 2 1
! 1
? 6 2
? 5 2
! 5
? 11 14
? 7 14
? 10 7
! 10
? 20 8
? 15 26
? 20 26
? 13 20
! 20
? 59 42
? 15 2
? 52 16
? 15 16
? 30 16
! 16
? 17 40
? 77 69
? 74 20
? 38 80
? 74 80
? 49 74
! 74
? 189 90
? 224 65
? 185 73
? 82 42
? 9 18
? 42 18
? 126 42
! 126
? 192 60
? 285 44
? 36 151
? 451 435
? 429 122
? ...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 59ms
memory: 9708kb

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:

? 52174 35226
? 26122 16093
? 11494 10853
? 11494 91694
? 90037 73088
? 90037 21572
? 51091 91442
? 7067 93596
? 75096 14316
? 75096 55875
? 42793 96805
? 59747 42793
? 67072 472
? 59747 64770
! 92650
? 80592 36933
? 50906 68004
? 73367 65219
? 20489 33796
? 74041 19704
? 35779 74041
? 35779 85560
?...

result:

ok OK (2 test cases)

Test #19:

score: 0
Accepted
time: 262ms
memory: 3632kb

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:

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

result:

ok OK (100000 test cases)

Extra Test:

score: 0
Extra Test Passed