QOJ.ac

QOJ

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
#727279#9570. Binary Treeucup-team3646#AC ✓371ms22908kbC++204.5kb2024-11-09 12:28:032024-11-09 12:28:05

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 12:28:05]
  • 评测
  • 测评结果:AC
  • 用时:371ms
  • 内存:22908kb
  • [2024-11-09 12:28:03]
  • 提交

answer

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

using ll = long long;
#define rep(i, n) for(ll i = 0; i < n; i++)
#define rep2(i, l, r) for(ll i = l; i < r; i++)

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;

/* ---- */
#define all(A) A.begin(), A.end()
#define elif else if
using pii = pair<ll, ll>;

bool chmin(auto &a, const auto &b) {return a > b ? a = b, 1 : 0;}
bool chmax(auto &a, const auto &b) {return a < b ? a = b, 1 : 0;}

struct IOSetup {
  IOSetup() {
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
} iosetup;

template<class T>
void print(vector<T> a) {
  for (auto x : a) cerr << x << ' ';
  cerr << endl;
}

void print(auto x) {
  cerr << x << endl;
}

template<class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
  cerr << head << ' ';
  print(forward<Tail>(tail)...);
}

mt19937_64 rng(2024); // [0, 2^64)
ll randint(ll l, ll r) { return l + rng() % (r - l + 1); }


int n;
vvi G;


int dbg=0;
int ans_s;

vvi dist;

int ask_cnt;
void INPUT(){
  ask_cnt=0;
  if(dbg){
    n=randint(5,100);
    ans_s=randint(0,n-1);
    G.assign(n,{});
    vi ord(n,0);
    dist.assign(n,vi(n,n));
    rep2(v,1,n){
      int p=randint(0,v-1);
      G[p].push_back(v);
      G[v].push_back(p);
      dist[v][p]=1;
      dist[p][v]=1;
    }
    rep(v,n)dist[v][v]=0;
    rep(k,n){
      rep(i,n){
        rep(j,n){
          dist[i][j]=min(dist[i][j],dist[i][k]+dist[k][j]);
        }
      }
    }

    bool flag=true;
    rep(i,n){
      if(G[i].size()>=4)flag=false;
    }
    if(!flag)return INPUT();
    
    rep(v,n){
      for(auto u:G[v]){
        if(v<u){
          print("edge :",v,u);
        }
      }
    }
    print("dist");
    for(auto x:dist)print(x);
    print("n, ans_s:",n,ans_s);
    return;
  }
  cin>>n;
  G.assign(n,{});
  rep(v,n){
    int l,r;
    cin>>l>>r;
    l--;r--;
    if(l!=-1){
      G[l].push_back(v);
      G[v].push_back(l);
    }
    if(r!=-1){
      G[r].push_back(v);
      G[v].push_back(r);
    }
  }
}

void answer(int v){
  cout<<"! "<<v+1<<endl;
  if(dbg){
    assert(v==ans_s);
  }
  assert((1<<ask_cnt)<=n);
}

int ask(int u,int v){
  ask_cnt++;
  cout<<"? "<<u+1<<" "<<v+1<<endl;
  if(dbg){
    int du=dist[u][ans_s];
    int dv=dist[v][ans_s];
    if(du<dv)return 0;
    if(du==dv)return 1;
    return 2;
  }
  int t;
  cin>>t;
  return t;
}



void solve(){
  INPUT();
  vector<int>ok(n,1);
  while(true){
    int r=-1;
    int sz=0;
    rep(v,n){
      if(ok[v]==1){
        sz++;
        r=v;
      }
    }
    if(sz==1){
      answer(r);
      return;
    }
    if(sz==2){
      vector<int>cand;
      rep(v,n){
        if(ok[v]==1)cand.push_back(v);
      }
      int v0=cand[0];
      int v1=cand[1];
      int t=ask(v0,v1);
      if(t==0)answer(v0);
      else answer(v1);
      return;
    }
    vi dp(n,0);
    int cent;
    auto dfs=[&](auto dfs,int v,int p)->void{
      if(ok[v]==0)return;
      dp[v]=1;
      for(auto u:G[v]){
        if(p!=u)dfs(dfs,u,v);
      }
      if(p!=-1)dp[p]+=dp[v];
      bool flg=true;
      for(auto u:G[v]){
        if(ok[u]==0||u==p)continue;
        if(dp[u]>sz/2)flg=false;
      }
      if(p!=-1&&sz-dp[v]>sz/2)flg=false;
      if(flg)cent=v;
    };
    dfs(dfs,r,-1);

    auto dfs_naive=[&](int v,int ng1,int ng2)->vi{
      vi seen(n,0);
      vi todo={v};
      seen[v]=1;
      if(ng1!=-1)seen[ng1]=1;
      if(ng2!=-1)seen[ng2]=1;
      vi grp;
      while(!todo.empty()){
        auto u=todo.back();
        grp.push_back(u);
        todo.pop_back();
        for(auto w:G[u]){
          if(seen[w]==0&&ok[w]==1){
            seen[u]=1;
            todo.push_back(w);
          }
        }
      }
      return grp;
    };

    vector<pair<int,int>>res;
    for(auto u:G[cent]){
      if(ok[u]==1){
        vi s=dfs_naive(u,cent,-1);
        res.push_back({s.size(),u});
      }
    }
    sort(res.rbegin(),res.rend());
    int v0,v1;
    v0=res[0].second;
    v1=res[1].second;
    if(dbg){
      print("cent, v0, v1 :",cent,v0,v1);
    }

    vi grp0=dfs_naive(v0,cent,-1);
    vi grp1=dfs_naive(v1,cent,-1);
    vi grp2=dfs_naive(cent,v0,v1);
    int t=ask(v0,v1);
    vi nok(n,0);
    if(t==0){
      for(auto v:grp0)nok[v]=1;
    }
    else if(t==2){
      for(auto v:grp1)nok[v]=1;
    }
    else{
      for(auto v:grp2)nok[v]=1;
    }
    ok=nok;
  }
}

int main(){
  int T;
  if(dbg)T=10000;
  else cin>>T;
  while(T--)solve();
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3636kb

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
? 1 2
! 2

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 69ms
memory: 4288kb

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

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 41ms
memory: 3876kb

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:

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

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 160ms
memory: 22908kb

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
? 98065 36882
? 89400 44312
? 52881 29266
? 79632 4792
? 66257 28530
? 90776 45250
? 81001 52265
? 53955 20009
? 94177 21998
? 43004 355
? 74680 68469
? 10523 64423
? 23323 65449
? 27623 48680
? 27623 23323
! 23323
? 5676 85780
? 22364 23809
? 8271 9912
? 21028 93008
? 68707 81906
? 70...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 83ms
memory: 14748kb

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
? 5 1
? 4 1
! 1
? 9 6
? 8 5
? 13 8
! 13
? 29 13
? 16 2
? 28 9
? 28 16
! 16
? 37 8
? 30 14
? 56 55
? 60 29
? 29 14
! 47
? 89 36
? 71 6
? 54 9
? 107 91
? 45 11
? 107 45
! 45
? 233 64
? 246 68
? 239 76
? 110 34
? 194 48
? 54 13
? 68 54
! 68
? 439 48
? 457 144
? 228 4
? 386 328
? 138 5
? 431 2...

result:

ok OK (15 test cases)

Test #6:

score: 0
Accepted
time: 79ms
memory: 15040kb

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:

? 1 2
! 2
? 3 4
? 2 3
! 2
? 4 1
? 3 7
? 3 4
! 4
? 11 1
? 6 10
? 8 12
? 6 8
! 6
? 16 13
? 29 19
? 7 5
? 24 8
? 7 24
! 24
? 8 24
? 6 20
? 13 10
? 25 32
? 7 25
? 7 29
! 7
? 57 124
? 72 64
? 38 4
? 79 84
? 20 44
? 35 87
? 20 35
! 20
? 90 113
? 248 20
? 8 130
? 223 146
? 165 86
? 45 174
? 55 8
? 45 55
! ...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 86ms
memory: 14936kb

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:

? 1 2
! 2
? 1 3
? 4 1
! 1
? 4 9
? 10 7
? 10 2
! 13
? 27 20
? 13 2
? 28 25
? 28 27
! 27
? 33 30
? 32 4
? 61 45
? 46 43
? 43 32
! 35
? 94 9
? 69 59
? 21 4
? 64 27
? 95 6
? 27 6
! 27
? 159 204
? 235 47
? 248 169
? 200 132
? 103 88
? 239 39
? 235 39
! 39
? 359 209
? 139 137
? 296 75
? 357 51
? 269 237
?...

result:

ok OK (15 test cases)

Test #8:

score: 0
Accepted
time: 51ms
memory: 3812kb

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:

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

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 92ms
memory: 12084kb

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 69076
? 79924 11838
? 18079 15463
? 72017 29994
? 80147 27856
? 80763 26264
? 84186 39876
? 63858 37786
? 64658 8683
? 75694 66372
? 97941 76679
? 25994 9878
? 64299 62208
? 73761 58401
? 76924 21819
! 21819
? 72481 78976
? 96633 84675
? 81852 2124
? 84822 64228
? 55776 50823
? 89542 22888
?...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 56ms
memory: 8072kb

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
? 6 3
! 3
? 15 5
? 9 1
? 4 2
! 4
? 29 17
? 30 13
? 8 1
? 18 14
! 14
? 2 1
? 57 40
? 33 11
? 60 39
? 54 51
! 39
? 115 20
? 48 45
? 127 101
? 78 29
? 100 97
? 83 80
! 80
? 140 70
? 206 196
? 152 135
? 180 95
? 187 62
? 229 8
? 153 5
! 153
? 121 60
? 305 71
? 308 106
? 473 373
? 281 129...

result:

ok OK (15 test cases)

Test #11:

score: 0
Accepted
time: 65ms
memory: 8080kb

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:

? 1 2
! 2
? 1 3
? 1 2
! 1
? 5 7
? 1 2
? 1 3
! 3
? 1 6
? 14 5
? 4 2
! 14
? 19 2
? 3 15
? 3 13
? 16 8
? 3 18
! 3
? 9 14
? 58 24
? 29 32
? 29 15
? 29 26
? 3 8
! 3
? 28 83
? 75 21
? 10 7
? 126 84
? 94 33
? 103 58
! 58
? 245 3
? 245 223
? 150 131
? 193 34
? 191 102
? 120 59
? 250 153
! 59
? 81 324
? 227 ...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 61ms
memory: 8084kb

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:

? 1 2
! 2
? 2 6
? 3 2
! 2
? 12 4
? 2 8
? 7 1
! 1
? 28 2
? 26 23
? 25 12
? 29 4
! 29
? 16 57
? 43 36
? 12 4
? 22 15
? 60 27
! 27
? 18 44
? 93 53
? 69 51
? 122 21
? 114 108
? 86 36
! 108
? 253 196
? 224 42
? 81 61
? 132 123
? 252 173
? 130 117
? 238 22
! 22
? 69 32
? 210 172
? 233 19
? 228 186
? 352 2...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 52ms
memory: 3816kb

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:

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

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 115ms
memory: 18212kb

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
? 17131 97012
? 63260 47373
? 50792 54267
? 90948 40354
? 57900 28477
? 13284 96528
? 74906 58055
? 46759 93863
? 5041 24121
? 46759 5041
? 5041 39659
! 5041
? 70265 86513
? 30583 6109
? 16440 81668
? 45984 9116
? 91613 76942
? 4208...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 65ms
memory: 10556kb

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
? 7 1
! 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
? 201 80
! 80
? 322 266
? 146 414
? 72 335
? 66 306
? 89 76
? ...

result:

ok OK (15 test cases)

Test #16:

score: 0
Accepted
time: 70ms
memory: 11188kb

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:

? 1 2
! 2
? 2 4
? 1 2
! 1
? 4 6
? 4 1
? 3 4
! 4
? 2 10
? 4 11
? 4 7
? 1 4
! 1
? 11 17
? 7 2
? 4 27
? 7 18
? 7 14
! 14
? 56 43
? 11 18
? 2 58
? 25 2
? 11 15
? 11 16
! 11
? 24 37
? 112 64
? 60 50
? 86 3
? 51 86
? 51 54
? 22 51
! 22
? 133 170
? 44 184
? 74 151
? 165 101
? 140 33
? 58 140
? 58 107
? 58 ...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 60ms
memory: 10768kb

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
? 6 2
? 2 5
! 2
? 14 11
? 13 11
? 3 13
! 3
? 20 8
? 26 15
? 15 12
? 15 25
! 25
? 59 42
? 15 2
? 52 16
? 16 15
? 15 62
! 62
? 40 17
? 102 11
? 119 110
? 67 15
? 119 15
? 35 119
! 119
? 189 90
? 224 65
? 185 73
? 82 42
? 18 9
? 73 9
? 73 124
! 73
? 192 60
? 285 44
? 151 36
? 443 70
? 295 229...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 120ms
memory: 12092kb

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
? 64770 59747
! 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: 371ms
memory: 3624kb

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