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#734264#9570. Binary TreeSorahISAAC ✓389ms22368kbC++2313.0kb2024-11-11 08:14:482024-11-11 08:14:50

Judging History

你现在查看的是最新测评结果

  • [2024-11-11 08:14:50]
  • 评测
  • 测评结果:AC
  • 用时:389ms
  • 内存:22368kb
  • [2024-11-11 08:14:48]
  • 提交

answer

#ifndef SorahISA
#define SorahISA
#include SorahISA __FILE__ SorahISA

void solve() {
    int N; cin >> N;
    
    vector<pii> children(N); cin >> children;
    vector<vector<pii>> adj(N); /// (x, ban_id)
    vector<bool> is_ban(N-1, false);
    for (int i = 0, tok = 0; i < N; ++i) {
        auto &[lt, rt] = children[i]; --lt, --rt;
        if (lt != -1) adj[i].eb(lt, tok), adj[lt].eb(i, tok), ++tok;
        if (rt != -1) adj[i].eb(rt, tok), adj[rt].eb(i, tok), ++tok;
    }
    
    vector<int> sz(N), par(N);
    auto get_centroid = [&](int root) -> int {
        int centroid = -1;
        par[root] = root;
        function<void(int)> dfs1 = [&](int now) {
            sz[now] = 1;
            for (auto [x, ban_id] : adj[now]) {
                if (is_ban[ban_id] or x == par[now]) continue;
                par[x] = now, dfs1(x), sz[now] += sz[x];
            }
        };
        function<void(int)> dfs2 = [&](int now) {
            int max_sz = sz[root] - sz[now];
            for (auto [x, ban_id] : adj[now]) {
                if (is_ban[ban_id] or x == par[now]) continue;
                chmax(max_sz, sz[x]), dfs2(x);
            }
            if (2 * max_sz <= sz[root]) centroid = now;
            // debug(now, max_sz);
        };
        dfs1(root), dfs2(root);
        // assert(centroid != -1);
        return centroid;
    };
    
    int root = 0;
    while (true) {
        int centroid = get_centroid(root);
        vector<pii> neigh;
        for (auto &[x, ban_id] : adj[centroid]) { if (not is_ban[ban_id]) neigh.eb(x, ban_id); }
        sort(ALL(neigh), [&](const pii &p1, const pii &p2) {
            int sz1 = (p1.first == par[centroid] ? sz[root] - sz[centroid] : sz[p1.first]);
            int sz2 = (p2.first == par[centroid] ? sz[root] - sz[centroid] : sz[p2.first]);
            return sz1 > sz2;
        });
        // debug(centroid, neigh);
        if (SZ(neigh) == 0) break;
        if (SZ(neigh) == 1) {
            print("?", root+1, neigh[0].first+1), cout << flush;
            int ret; cin >> ret;
            // assert(ret == 0 or ret == 2);
            is_ban[neigh[0].second] = true;
            root = (ret == 2 ? neigh[0].first : centroid);
        }
        if (SZ(neigh) >= 2) {
            print("?", neigh[0].first+1, neigh[1].first+1), cout << flush;
            int ret; cin >> ret;
            // assert(ret == 0 or ret == 1 or ret == 2);
            is_ban[neigh[0].second] = is_ban[neigh[1].second] = true;
            root = (ret == 0 ? neigh[0].first : (ret == 2 ? neigh[1].first : centroid));
        }
    }
    print("!", root+1), cout << flush;
}

int32_t main() {
    // fastIO();
    
    int t = 1; cin >> t;
    for (int _ = 1; _ <= t; ++_) {
        // cout << "Case #" << _ << ": ";
        solve();
    }
    
    return 0;
}

#else

#ifdef local
#define _GLIBCXX_DEBUG 1
#endif
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;
// #include <bits/extc++.h>
// #include <tr2/dynamic_bitset>

using i64 = long long;
using i128 = __int128;
#define int i64
using f80 = long double;
using f128 = __float128;
#define double f80
using pii = pair<int, int>;
template <typename T> using Prior = std::priority_queue<T>;
template <typename T> using prior = std::priority_queue<T, vector<T>, greater<T>>;

// #define X first
// #define Y second
#define eb emplace_back
#define ef emplace_front
#define ee emplace
#define pb pop_back
#define pf pop_front
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define SZ(x) ((int)(x).size())

// template <size_t D, typename T> struct Vec : vector<Vec<D-1, T>> {
//     static_assert(D >= 1, "Vector dimension must be greater than zero!");
//     template <typename... Args> Vec(int n = 0, Args... args) : vector<Vec<D-1, T>>(n, Vec<D-1, T>(args...)) {}
// };

// template <typename T> struct Vec<1, T> : vector<T> {
//     Vec(int n = 0, const T& val = T()) : vector<T>(n, val) {}
// };

template <typename T, typename U> istream& operator >> (istream &is, pair<T, U> &p)
{ return is >> p.first >> p.second; }

template <typename T, typename U> ostream& operator << (ostream &os, const pair<T, U> &p)
{ return os << p.first << " " << p.second; }

template <typename T> istream& operator >> (istream &is, vector<T> &vec)
{ for (size_t i = 0; i < size(vec); ++i) is >> vec[i]; return is; }

template <typename T> ostream& operator << (ostream &os, const vector<T> &vec)
{ for (size_t i = 0; i < size(vec); ++i) { if (i) os << " "; os << vec[i]; } return os; }

#ifdef local
#define fastIO() void()
#define debug(...) \
    _color.emplace_back("\u001b[31m"), \
    fprintf(stderr, "%sAt [%s], line %d: (%s) = ", _color.back().c_str(), __FUNCTION__, __LINE__, #__VA_ARGS__), \
    _do(__VA_ARGS__), _color.pop_back(), \
    fprintf(stderr, "%s", _color.back().c_str())
#define print(...) \
    fprintf(stdout, "%s", "\u001b[36m"), \
    _P(__VA_ARGS__), \
    fprintf(stdout, "%s", "\u001b[0m")

deque<string> _color{"\u001b[0m"};

template <typename T> concept is_string = is_same_v<T, string&> or is_same_v<T, const string&>;
template <typename T> concept is_iterable = requires (T _t) { begin(_t); };

template <typename T> inline void _print_err(T &&_t);
template <typename T> inline void _print_err(T &&_t) requires is_iterable<T> and (not is_string<T>);
template <size_t I, typename ...U> inline typename enable_if<I == sizeof...(U), void>::type _print_err(const tuple<U...> &);
template <size_t I, typename ...U> inline typename enable_if<I <  sizeof...(U), void>::type _print_err(const tuple<U...> &_t);
template <size_t I, typename ...U> inline typename enable_if<I == sizeof...(U), void>::type _print_err(tuple<U...> &);
template <size_t I, typename ...U> inline typename enable_if<I <  sizeof...(U), void>::type _print_err(tuple<U...> &_t);

inline void _do() { cerr << "\n"; }
template <typename T> inline void _do(T &&_t) { _print_err(_t), cerr << "\n"; }
template <typename T, typename ...U> inline void _do(T &&_t, U &&..._u) { _print_err(_t), cerr << ", ", _do(_u...); }
#else
#define fastIO() cin.tie(0)->sync_with_stdio(0)
#define debug(...) void()
#define print(...) _P(__VA_ARGS__)
#endif

inline void _P() { cout << "\n"; }
template <typename T> inline void _P(T &&_t) { cout << _t << "\n"; }
template <typename T, typename ...U> inline void _P(T &&_t, U &&..._u) { cout << _t << " ", _P(_u...); }

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

inline int getRand(int L, int R) {
    if (L > R) swap(L, R);
    return (int)(rng() % ((uint64_t)R - L + 1) + L);
}

template <typename T, typename U> bool chmin(T &lhs, U rhs) { return lhs > rhs ? lhs = rhs, 1 : 0; }
template <typename T, typename U> bool chmax(T &lhs, U rhs) { return lhs < rhs ? lhs = rhs, 1 : 0; }

/// below are Fast I/O and _print_err templates ///

/*
/// Fast I/O by FHVirus ///
/// https://fhvirus.github.io/blog/2020/fhvirus-io/ ///

#include <unistd.h>

const int S = 65536;

int OP = 0;
char OB[S];

inline char RC() {
    static char buf[S], *p = buf, *q = buf;
    return p == q and (q = (p = buf) + read(0, buf, S)) == buf ? -1 : *p++;
}

inline int RI() {
    static char c;
    int a;
    while (((c = RC()) < '0' or c > '9') and c != '-' and c != -1);
    if (c == '-') {
        a = 0;
        while ((c = RC()) >= '0' and c <= '9') a *= 10, a -= c ^ '0';
    }
    else {
        a = c ^ '0';
        while ((c = RC()) >= '0' and c <= '9') a *= 10, a += c ^ '0';
    }
    return a;
}

inline void WI(int n, char c = '\n') {
    static char buf[20], p;
    if (n == 0) OB[OP++] = '0';
    p = 0;
    if (n < 0) {
        OB[OP++] = '-';
        while (n) buf[p++] = '0' - (n % 10), n /= 10;
    }
    else {
        while (n) buf[p++] = '0' + (n % 10), n /= 10;
    }
    for (--p; p >= 0; --p) OB[OP++] = buf[p];
    OB[OP++] = c;
    if (OP > S-20) write(1, OB, OP), OP = 0;
}

/// Fast I/O by FHVirus ///
/// https://fhvirus.github.io/blog/2020/fhvirus-io/ ///
*/

#ifdef local

template <typename T> inline void _print_err(T &&_t) { cerr << _t; }

template <typename T> inline void _print_err(T &&_t) requires is_iterable<T> and (not is_string<T>) {
    _color.emplace_back(_color.back()), ++_color.back()[3];
    cerr << _color.back() << "[";
    for (bool _first = true; auto &_x : _t) {
        if (!_first) cerr << ", ";
        _print_err(_x), _first = false;
    }
    cerr << "]" << (_color.pop_back(), _color.back());
}

template <size_t I = 0, typename ...U> inline typename enable_if<I == sizeof...(U), void>::type _print_err(const tuple<U...> &) {
    cerr << ")" << (_color.pop_back(), _color.back());
}

template <size_t I = 0, typename ...U> inline typename enable_if<I <  sizeof...(U), void>::type _print_err(const tuple<U...> &_t) {
    if (!I) {
        _color.emplace_back(_color.back()), ++_color.back()[3];
        cerr << _color.back();
    }
    cerr << (I ? ", " : "("), _print_err(get<I>(_t)), _print_err<I+1, U...>(_t);
}

template <size_t I = 0, typename ...U> inline typename enable_if<I == sizeof...(U), void>::type _print_err(tuple<U...> &) {
    cerr << ")" << (_color.pop_back(), _color.back());
}

template <size_t I = 0, typename ...U> inline typename enable_if<I <  sizeof...(U), void>::type _print_err(tuple<U...> &_t) {
    if (!I) {
        _color.emplace_back(_color.back()), ++_color.back()[3];
        cerr << _color.back();
    }
    cerr << (I ? ", " : "("), _print_err(get<I>(_t)), _print_err<I+1, U...>(_t);
}

#endif

#endif

/**
 *                                                                                                                 
 *                                                                                                                 
 *                                                                                                                 
 *                            iiiiii         iiiiiiiiii       iiiiiiiiiiiiii                                       
 *                       iiiiiiiiiiiii   iiiiiii    iiii    iiiiiiiiiiiiiii                          ii   iiii     
 *                    iiiiiiii     iiiiiiiii         iiii       iiii iii              iii          iiiiiiiiii      
 *                 iiiiiii          iiiiii           iiii    iiii   ii           iiiiiiiiii      iiii iiii         
 *               iiiiii            iiiii             iiii iiii        iii      iiii    iiiiiiiiiiiiiiiii  ii       
 *             iiiiii            iiiiiii            iiiiiii       iiiiiiii   iii    iiiiiiiiiiiiii iii  iiii       
 *           iiiiii             iiiiiii            iiiii   ii   iiii       iiiiiiiiiii iiii  iii iiii iiii      iii
 *          iiiii              iiiiiiii       ii        iiiii iiii    iiiiiiiii        iii iii  iii  iii  ii  iiii 
 *        iiiiii              iiiiiiii      iiiii     iiiii iiiiiiiiiiiiiiii         iii  iii  ii  iii  iii iiii   
 *       iiiii                 iiiiii     iiii     iiiiii iiiiiii    iii iii       iiii  ii   i   ii  iii  iii     
 *     iiiiii                            iiii  iiiiiiiiiiiiiii       iii iiii   iiiii  iii  ii  iii  iii  ii       
 *    iiiii                              iiiiiiii iiiiiiiiii       iiii   iiiiiiiii            ii  iii  ii         
 *   iiiii                                     iiiiii  iiii      iiiii              iii      ii   ii  i            
 * iiiiii                                  iiiiiiii   iiiii    iiiii                        ii  ii   ii            
 * iiiii                                iiii  iiii    iiiiiiiiiiii                             ii                  
 *  iii                              iiii   iiii       iiiiiiii                                                    
 *                                iiiii   iiii                                                                     
 *                              iiii     iiii                                                                      
 *                            iiii    iiiii                                                                        
 *                          iii     iiiii                                                                          
 *                        iii     iiiii                                                                            
 *                       iii   iiiiii                                                                              
 *                       iiiiiiiii                                                                                 
 *                       iiiiii                                                                                    
 *                                                                                                                 
 *                                                                                                                 
 *                                                                                                                 
**/

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3648kb

input:

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

output:

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

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 112ms
memory: 4508kb

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
0
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
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:

? 8 6
? 4 5
? 4 3
! 3
? 7 2
? 8 7
? 8 6
! 8
? 8 3
? 4 2
? 6 8
! 8
? 2 4
? 2 3
! 3
? 5 6
? 1 4
! 1
? 5 1
? 5 4
! 4
? 4 1
? 4 3
! 4
? 3 2
! 2
? 1 2
! 1
? 2 3
! 3
? 7 1
? 7 4
? 6 3
! 3
? 1 2
! 1
? 5 9
? 4 8
? 3 5
! 3
? 10 3
? 8 6
? 4 2
! 4
? 9 3
? 1 7
? 2 9
! 2
? 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: 72ms
memory: 3744kb

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

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 192ms
memory: 22368kb

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
? 54094 11034
? 34051 63621
? 79154 26980
? 55857 22501
? 15747 28077
? 35270 76840
? 97062 8937
? 61940 22539
? 70074 43281
? 70074 79154
! 79154
? 5676 85780
? 39704 57748
? 58489 42043
? 30188 50842
? 36012 24131
? ...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 122ms
memory: 13524kb

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: 107ms
memory: 13664kb

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
? 3 2
! 3
? 4 1
? 6 4
? 6 7
! 7
? 11 1
? 6 10
? 7 6
? 7 12
! 7
? 16 13
? 29 19
? 7 5
? 27 7
? 27 8
! 8
? 8 24
? 6 20
? 13 10
? 25 32
? 7 25
? 7 29
! 7
? 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
? 212 ...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 121ms
memory: 13880kb

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
? 5 2
? 6 5
! 5
? 4 9
? 7 10
? 4 7
! 5
? 27 20
? 2 13
? 18 17
? 11 18
! 18
? 33 30
? 4 32
? 11 31
? 19 59
? 11 59
! 37
? 94 9
? 59 69
? 17 52
? 111 44
? 46 51
? 52 51
! 52
? 12 100
? 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: 81ms
memory: 3684kb

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

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 158ms
memory: 14908kb

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
? 39876 84186
? 73287 34615
? 43462 43070
? 38721 85806
? 84940 93114
? 3443 79116
? 49016 68555
? 56289 87545
? 32426 3887
! 3887
? 72481 78976
? 96633 84675
? 2124 81852
? 13836 79494
? 80643 24965
? 38932 5573
? 5...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 94ms
memory: 10544kb

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: 96ms
memory: 10860kb

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
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
? 8 1
? 6 4
? 7 8
! 8
? 16 15
? 6 12
? 8 10
? 8 13
! 8
? 19 2
? 3 15
? 25 18
? 13 27
? 13 30
! 30
? 9 14
? 58 24
? 29 32
? 17 3
? 15 39
? 15 57
! 15
? 28 83
? 75 21
? 10 7
? 30 38
? 111 64
? 65 51
! 65
? 221 218
? 199 243
? 66 123
? 247 165
? 57 198
? 138 196
? 15 146
! 146...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 86ms
memory: 10576kb

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
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
? 2 6
? 2 3
! 3
? 14 6
? 3 4
? 5 11
! 3
? 28 2
? 23 26
? 18 6
? 8 10
! 10
? 61 36
? 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: 71ms
memory: 3964kb

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

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 175ms
memory: 19428kb

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
? 45466 57947
? 49953 61749
? 74237 46253
? 80813 36006
? 50792 80813
? 80813 51961
! 80813
? 70265 86513
? 11800 36225
? 99536 25987
? 59217 63730
? 29352 84543
...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 91ms
memory: 12312kb

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:

? 1 3
! 2
? 2 5
? 1 7
! 2
? 15 4
? 1 15
? 2 11
! 1
? 14 1
? 10 18
? 29 10
? 30 13
! 30
? 38 44
? 42 1
? 2 9
? 34 2
? 5 23
! 23
? 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: 107ms
memory: 12668kb

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

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 93ms
memory: 12836kb

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: 175ms
memory: 14540kb

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 41734
? 59747 42793
? 472 67072
? 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: 389ms
memory: 3648kb

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