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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#728679#9570. Binary Treeucup-team045#AC ✓320ms41264kbC++208.3kb2024-11-09 15:39:242024-11-09 15:39:25

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 15:39:25]
  • 评测
  • 测评结果:AC
  • 用时:320ms
  • 内存:41264kb
  • [2024-11-09 15:39:24]
  • 提交

answer

#include<iostream>
#include<cstring>
#include<vector>
#include<array>
#include<algorithm>
#include<numeric>
using namespace std;
using LL = long long;

// 1_based HLD
// struct Edge{
//     int to;
//     int w;
//     operator int() const { return to; }
// };

using Edge = int;
struct HLD{
    int n;
    vector<int> sz, top, dep, fa, in, out, seq;
    vector<vector<Edge> > g;
    int ts;

    HLD(const vector<vector<Edge> > &g, int root = 1) : n(int(g.size()) - 1), g(g)  {
        ts = 0;
        sz.resize(n + 1);
        top.resize(n + 1);
        dep.resize(n + 1);
        fa.resize(n + 1);
        in.resize(n + 1);
        out.resize(n + 1);
        seq.resize(n + 1);
        dep[root] = 1;
        top[root] = root;
        dfs_sz(root);
        dfs_hld(root);
    }

    void dfs_sz(int u){
        if (fa[u]){
            for(auto it = g[u].begin(); it != g[u].end(); it++){
                if (*it == fa[u]){
                    g[u].erase(it);
                    break;
                }
            }
        }
        sz[u] = 1;
        for(auto &j : g[u]){
            fa[j] = u;
            dep[j] = dep[u] + 1;
            dfs_sz(j);
            sz[u] += sz[j];
            if (sz[j] > sz[g[u][0]])
                swap(j, g[u][0]);
        }
    }

    void dfs_hld(int u){
        in[u] = ++ts;
        seq[in[u]] = u;
        for (auto j : g[u]){
            top[j] = (j == g[u][0] ? top[u] : j);
            dfs_hld(j);
        }
        out[u] = ts;
    }

    int lca(int u, int v){
        while (top[u] != top[v]){
            if (dep[top[u]] > dep[top[v]]){
                u = fa[top[u]];
            } 
            else{
                v = fa[top[v]];
            }
        }
        return dep[u] < dep[v] ? u : v;
    }

    int dist(int u, int v){
        return dep[u] + dep[v] - 2 * dep[lca(u, v)];
    }

    bool in_subtree(int u, int v){
        return in[v] <= in[u] && in[u] <= out[v];
    }
    
    int jump(int u, int k) {
        if (dep[u] < k){
            return -1;
        }
        int d = dep[u] - k;
        while (dep[top[u]] > d){
            u = fa[top[u]];
        }
        return seq[in[u] - dep[u] + d];
    }
    
    int rooted_lca(int a, int b, int c){
        return lca(a, b) ^ lca(b, c) ^ lca(c, a);
    }

    template<typename Q>
    void modify_path(int u, int v, const Q &q, bool edge = false){
        while(top[u] != top[v]){
            if (dep[top[u]] < dep[top[v]]) swap(u, v);
            q(in[top[u]], in[u]);
            u = fa[top[u]];        
        }
        if (dep[u] > dep[v]) swap(u, v);
        q(in[u] + edge, in[v]);
    }

    template<typename Q>
    void modify_subtree(int u, const Q &q){
        q(in[u], out[u]);
    }  

    template<typename T, typename Q>
    T query_path(int u, int v, const Q &q, bool edge = false){
        T ret = T();
        while(top[u] != top[v]){
            if (dep[top[u]] < dep[top[v]]) swap(u, v);
            ret = q(in[top[u]], in[u]) + ret;
            u = fa[top[u]];
        }
        if (dep[u] > dep[v]) swap(u, v);
        return q(in[u] + edge, in[v]) + ret;
    }

    template<typename T, typename Q>
    T query_subtree(int u, const Q &q){
        return q(in[u], out[u]);
    }

    template<typename T, typename Q, typename F>
    T query_path_noncommutative(int u, int v, const Q &q, const F &f, bool edge = false){
        T left = T(), right = T();
        while(top[u] != top[v]){
            if (dep[top[u]] < dep[top[v]]) swap(u, v), swap(left, right);
            left = q(in[top[u]], in[u]) + left;
            u = fa[top[u]];
        }
        if (dep[u] > dep[v]) swap(u, v), swap(left, right);
        return f(left, q(in[u] + edge, in[v]) + right);
    }
    
    pair<vector<int>, vector<pair<int, int> > > compress(vector<int> v){
        auto cmp = [&](int a, int b) { return in[a] < in[b]; };
        sort(v.begin(), v.end(), cmp);
        v.erase(unique(v.begin(), v.end()), v.end());
        const int k = (int)v.size();
        for(int i = 0; i + 1 < k; i++){
            v.push_back(lca(v[i], v[i + 1]));
        }
        sort(v.begin(), v.end(), cmp);
        v.erase(unique(v.begin(), v.end()), v.end());
        vector<pair<int, int> > edges;
        vector<int> stk;
        for(auto x : v){
            while(!stk.empty() && out[stk.back()] < in[x]){
                stk.pop_back();
            }
            if (!stk.empty()){
                edges.push_back({stk.back(), x});
            }
            stk.push_back(x);
        }
        return {v, edges};
    }

};

int main(){

#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
#endif

    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(0);

    int hidden = 14221;

    int T;
    cin >> T;
    while(T--){
        int n;
        cin >> n;
        vector<int> pt(n);
        iota(pt.begin(), pt.end(), 1);
        vector<pair<int, int> > edge;
        vector<vector<int> > gg(n + 1);

        for(int i = 1; i <= n; i++){
            for(int j = 0; j < 2; j++){
                int x;
                cin >> x;
                if (x){
                    edge.push_back({i, x});
                    gg[x].push_back(i);
                    gg[i].push_back(x);
                }
            }
        }

        HLD hld(gg);

        auto ask = [&](int x, int y){
            cout << "? " << x << ' ' << y << endl;
        #ifdef LOCAL
            int d1 = hld.dist(x, hidden);
            int d2 = hld.dist(y, hidden);

            if (d1 < d2) return 0;
            if (d1 == d2) return 1;
            return 2;
        #endif
            int t;
            cin >> t;
            return t;
        };

        
        while(pt.size() > 1){
            if (pt.size() == 2){
                if (ask(pt[0], pt[1]) == 0){
                    pt = {pt[0]};
                }
                else{
                    pt = {pt[1]};
                }
                break;
            }
            
            vector<bool> v(n + 1);
            for(auto x : pt) v[x] = true;
            vector<vector<int> > g(n + 1);
            for(auto [x, y] : edge){
                if (v[x] and v[y]){
                    g[x].push_back(y);
                    g[y].push_back(x);
                }
            }

            vector<int> sz(n + 1), fa(n + 1);

            array<int, 3> best{};
            int mn = 1e9;

            auto dfs = [&](auto &&dfs, int u) -> void {
                sz[u] = 1;
                vector<int> sons;
                for(auto j : g[u]){
                    if (!v[j] or j == fa[u]) continue;
                    sons.push_back(j);
                    fa[j] = u;
                    dfs(dfs, j);
                    sz[u] += sz[j];
                }
                if (sons.size() == 2){
                    int sz1 = sz[sons[0]];
                    int sz2 = sz[sons[1]];
                    int sz3 = pt.size() - sz1 - sz2;
                    int t = max({sz1, sz2, sz3});
                    if (t < mn){
                        mn = t;
                        best = {sons[0], u, sons[1]};
                    }
                }
            };

            int root = 0;
            while(g[pt[root]].size() == 3) root += 1;
            root = pt[root];
            dfs(dfs, root);
            for(auto u : pt){
                if (fa[fa[u]] != 0){
                    int sz1 = sz[u];
                    int sz2 = sz[fa[u]] - sz[u];
                    int sz3 = pt.size() - sz1 - sz2;
                    int t = max({sz1, sz2, sz3});
                    if (t < mn){
                        mn = t;
                        best = {u, fa[u], fa[fa[u]]};
                    }
                }
            }
            int t = best[ask(best[0], best[2])];
            v[best[0]] = v[best[1]] = v[best[2]] = false;
            v[t] = true;

            pt.clear();

            auto dfs1 = [&](auto &&dfs1, int u, int fa) -> void {
                pt.push_back(u);
                for(auto j : g[u]){
                    if (!v[j] or j == fa) continue;
                    dfs1(dfs1, j, u);
                }
            };

            dfs1(dfs1, t, -1);
        }
        cout << "! " << pt[0] << endl;
    }

}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3504kb

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: 145ms
memory: 5652kb

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
1
2
8
5 8
0 0
1 7
0 0
0 0
4 2
0 0
6 0
0
2
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
1
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
? 5 3
? 1 4
? 2 3
! 3
? 1 6
? 5 3
? 3 7
! 7
? 4 2
? 1 5
! 1
? 6 5
? 8 3
! 3
? 5 1
? 5 4
! 5
? 2 4
? 4 3
! 3
? 3 2
! 2
? 1 2
! 2
? 2 3
! 3
? 9 7
? 4 7
? 6 3
! 6
? 1 2
! 1
? 5 9
? 2 1
? 2 6
! 2
? 8 5
? 7 1
? 7 9
! 9
? 3 9
? 1 7
? 2 9
! 9
? 1 2
! 2
? 3 4
? 1 7
! 7
? 4 5
? 8 4
? 8 ...

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 98ms
memory: 4092kb

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

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 222ms
memory: 41264kb

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
? 77488 94866
? 89861 22899
? 93080 4660
? 23392 77264
? 36229 21731
? 62930 3111
? 82050 98461
? 68697 97092
? 25985 94878
? 6069 37444
? 13737 6069
! 6069
? 5676 85780
? 39704 57748
? 58489 42043
? 30188 50842
? 36012 24131
? 185...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 127ms
memory: 23532kb

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
? 13 29
? 18 17
? 23 5
? 10 23
! 23
? 8 37
? 10 24
? 57 12
? 41 25
? 12 25
! 63
? 89 36
? 6 71
? 101 116
? 57 64
? 44 25
? 6 44
! 44
? 64 233
? 51 148
? 19 31
? 7 56
? 217 10
? 155 205
? 31 155
! 31
? 439 48
? 144 457
? 142 376
? 241 10
? 39 178
? 46...

result:

ok OK (15 test cases)

Test #6:

score: 0
Accepted
time: 130ms
memory: 23672kb

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
0
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
2
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
? 3 8
? 5 8
? 5 2
! 5
? 4 3
? 13 2
? 16 13
? 16 9
! 9
? 16 13
? 29 19
? 7 5
? 27 7
? 27 8
! 27
? 3 60
? 15 63
? 52 12
? 43 58
? 47 43
? 47 2
! 47
? 80 113
? 16 115
? 63 112
? 25 50
? 81 89
? 11 81
? 11 114
! 11
? 106 3
? 82 72
? 78 224
? 13 105
? 44 156
? 184 54
? 212 184
?...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 129ms
memory: 24400kb

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
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
? 4 9
? 10 7
? 2 10
! 13
? 16 21
? 5 8
? 12 19
? 10 12
! 12
? 10 60
? 2 9
? 6 25
? 16 41
? 6 41
! 53
? 84 70
? 90 37
? 99 75
? 30 65
? 106 98
? 65 98
! 65
? 12 100
? 118 71
? 192 44
? 67 92
? 113 41
? 125 22
? 113 22
! 22
? 68 449
? 319 190
? 334 450
? 406 100
? 483 25
? 36...

result:

ok OK (15 test cases)

Test #8:

score: 0
Accepted
time: 93ms
memory: 4152kb

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
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
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
2
1
2
10
3 6
8 0
4 2
5 7
0 0
10 9
0 0
0 0
0 0
0 0
1
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
? 4 2
? 3 5
! 3
? 1 4
? 3 5
! 3
? 1 4
? 2 5
! 2
? 7 4
? 6 8
? 5 4
! 4
? 3 1
? 4 5
? 8 1
! 1
? 2 1
? 5 7
? 4 3
! 3
? 2 3
? 1 7
? 6 4
! 4
? 5 1
? 4 8
? 7 1
! 7
? 7 13
? 9 11
? 6 5
! 6
? 5 14
? 3 8
? 1 9
! 3
? 8 14
? 2 5
? 13 12
! 12
? 10 9
? 8 2
? 16 12
! 12
? 2 3
?...

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 160ms
memory: 24976kb

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
? 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
? 42261 72481
? 84675 96633
? 2124 81852
? 13836 79494
? 80643 24965
? 38932 5573
? 5...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 98ms
memory: 17348kb

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
? 2 7
? 5 1
! 1
? 5 15
? 8 6
? 3 7
! 3
? 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: 100ms
memory: 17220kb

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
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
? 2 8
? 6 4
? 7 8
! 8
? 16 15
? 6 12
? 8 10
? 8 13
! 8
? 3 32
? 22 21
? 28 20
? 7 17
! 7
? 9 14
? 58 24
? 29 32
? 17 3
? 15 39
? 15 57
! 57
? 28 83
? 75 21
? 10 7
? 30 38
? 41 44
? 91 89
! 89
? 134 221
? 199 243
? 66 123
? 247 165
? 94 171
? 99 77
? 251 207
! 207
? 324 81
?...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 95ms
memory: 17200kb

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
2
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
2
0
0
0
62
0 0
0 0
28 47
7 38
0 0
0 0
17 26...

output:

? 1 2
! 2
? 1 5
? 6 4
! 4
? 3 12
? 2 8
? 1 7
! 7
? 23 17
? 5 13
? 14 30
? 16 24
! 16
? 36 61
? 18 30
? 31 50
? 10 51
? 21 8
! 21
? 18 44
? 53 93
? 51 69
? 28 20
? 77 115
? 26 34
! 34
? 42 241
? 112 193
? 88 124
? 17 30
? 154 233
? 186 72
? 189 243
! 186
? 69 30
? 210 172
? 19 233
? 186 228
? 197 55
...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 111ms
memory: 4040kb

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

output:

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

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 192ms
memory: 33820kb

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:

? 27459 71188
? 24680 87538
? 11855 13278
? 64417 35922
? 58885 19381
? 78595 80844
? 18424 57349
? 66628 9729
? 91740 30681
? 42472 971
? 97140 47310
? 26894 60710
? 19646 66089
? 18636 23536
? 971 18636
? 971 98332
! 98332
? 36553 70265
? 11800 93063
? 78349 99536
? 59217 22534
? 29352 84543
? 864...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 104ms
memory: 20724kb

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
2
2
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
1
0
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
1
2
0
63
51 35
33 57
...

output:

? 3 1
! 2
? 5 2
? 1 7
! 7
? 4 15
? 13 1
? 9 3
! 9
? 1 14
? 8 10
? 14 18
? 15 17
! 15
? 15 38
? 48 42
? 10 2
? 37 9
? 11 55
! 55
? 31 51
? 18 96
? 93 100
? 54 59
? 96 101
? 65 13
! 101
? 83 124
? 143 106
? 33 252
? 82 169
? 18 12
? 21 122
? 149 164
! 122
? 266 322
? 386 146
? 381 102
? 473 135
? 263 ...

result:

ok OK (15 test cases)

Test #16:

score: 0
Accepted
time: 112ms
memory: 22504kb

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
2
2
0
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
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
? 3 1
? 3 4
! 3
? 3 5
? 8 6
? 6 2
! 6
? 7 8
? 12 16
? 6 9
? 9 3
! 9
? 29 1
? 28 25
? 23 16
? 6 8
? 8 15
! 8
? 31 29
? 34 6
? 27 45
? 62 26
? 14 4
? 14 64
! 14
? 46 24
? 68 55
? 80 61
? 118 115
? 87 85
? 27 120
? 120 21
! 120
? 60 97
? 22 248
? 251 203
? 234 63
? 108 109
? 173 194
? 131 42
...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 112ms
memory: 21616kb

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
? 11 14
? 7 14
? 7 10
! 7
? 8 20
? 9 1
? 8 1
? 8 19
! 19
? 42 59
? 31 12
? 58 43
? 31 43
? 43 8
! 8
? 40 17
? 11 102
? 88 27
? 72 111
? 88 111
? 88 91
! 91
? 90 189
? 158 221
? 198 132
? 240 32
? 181 178
? 32 178
? 32 43
! 32
? 60 192
? 29 303
? 190 312
? 241 495
? 35 402
?...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 181ms
memory: 24664kb

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
? 16093 26122
? 11494 10853
? 37465 11494
? 73088 90037
? 21572 90037
? 51091 99968
? 37874 7067
? 75096 73345
? 61908 88342
? 54898 20607
? 79113 54898
? 28780 82981
? 86442 82981
! 82981
? 80592 36933
? 68004 50906
? 65219 73367
? 33796 20489
? 61722 74041
? 56446 35779
? 85560 35779...

result:

ok OK (2 test cases)

Test #19:

score: 0
Accepted
time: 320ms
memory: 3560kb

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