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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#729952#9570. Binary Treeucup-team987#AC ✓320ms14308kbC++2313.8kb2024-11-09 18:06:092024-11-09 18:06:11

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 18:06:11]
  • 评测
  • 测评结果:AC
  • 用时:320ms
  • 内存:14308kb
  • [2024-11-09 18:06:09]
  • 提交

answer

/**
 * date   : 2024-11-09 19:05:58
 * author : Nyaan
 */

#define NDEBUG

using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tr2/dynamic_bitset>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility

namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  constexpr P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  template <typename S>
  P &operator*=(const S &r) {
    first *= r, second *= r;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
  template <typename S>
  P operator*(const S &r) const {
    return P(*this) *= r;
  }
  P operator-() const { return P{-first, -second}; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N, F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

vector<int> mkiota(int n) {
  vector<int> ret(n);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
T mkrev(const T &v) {
  T w{v};
  reverse(begin(w), end(w));
  return w;
}

template <typename T>
bool nxp(T &v) {
  return next_permutation(begin(v), end(v));
}

// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
  vector<vector<T>> ret;
  vector<T> v;
  auto dfs = [&](auto rc, int i) -> void {
    if (i == (int)a.size()) {
      ret.push_back(v);
      return;
    }
    for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
  };
  dfs(dfs, 0);
  return ret;
}

// F : function(void(T&)), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I, const function<void(T &)> &f) {
  T res = I;
  for (; n; f(a = a * a), n >>= 1) {
    if (n & 1) f(res = res * a);
  }
  return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
  return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}

template <typename T>
T Rev(const T &v) {
  T res = v;
  reverse(begin(res), end(res));
  return res;
}

template <typename T>
vector<T> Transpose(const vector<T> &v) {
  using U = typename T::value_type;
  if(v.empty()) return {};
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      res[j][i] = v[i][j];
    }
  }
  return res;
}

template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
  using U = typename T::value_type;
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      if (clockwise) {
        res[W - 1 - j][i] = v[i][j];
      } else {
        res[j][H - 1 - i] = v[i][j];
      }
    }
  }
  return res;
}

}  // namespace Nyaan


// bit operation

namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return __builtin_popcountll(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
}  // namespace Nyaan


// inout

namespace Nyaan {

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

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}

istream &operator>>(istream &is, __int128_t &x) {
  string S;
  is >> S;
  x = 0;
  int flag = 0;
  for (auto &c : S) {
    if (c == '-') {
      flag = true;
      continue;
    }
    x *= 10;
    x += c - '0';
  }
  if (flag) x = -x;
  return is;
}

istream &operator>>(istream &is, __uint128_t &x) {
  string S;
  is >> S;
  x = 0;
  for (auto &c : S) {
    x *= 10;
    x += c - '0';
  }
  return is;
}

ostream &operator<<(ostream &os, __int128_t x) {
  if (x == 0) return os << 0;
  if (x < 0) os << '-', x = -x;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
  if (x == 0) return os << 0;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan


// debug


#ifdef NyaanDebug
#define trc(...) (void(0))
#endif
#ifndef NyaanDebug
#define trc(...) (void(0))
#endif

#ifndef NyaanLocal
#define trc2(...) (void(0))
#endif


// macro

#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }
#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)


namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }


//
using namespace Nyaan;

int send(int u, int v) {
  out("?", u + 1, v + 1);
  cout.flush();
  ini(x);
  return x;
}

void q() {
  ini(N);
  vvi g(N);

  rep(i, N) {
    ini(l, r);
    --l, --r;
    if (l != -1) g[i].push_back(l), g[l].push_back(i);
    if (r != -1) g[i].push_back(r), g[r].push_back(i);
  }

  vi banned(N);
  int root = 0;

  while (1) {
    vi sub(N);
    {
      auto dfs = [&](auto rc, int c, int p) -> int {
        sub[c] = 1;
        each(d, g[c]) {
          if (d == p or banned[d]) continue;
          sub[c] += rc(rc, d, c);
        }
        return sub[c];
      };
      dfs(dfs, root, -1);
    }
    int S = sub[root];
    if (S == 1) {
      out("!", root + 1);
      cout.flush();
      break;
    }

    int nroot = root;
    {
      int c = root, p = -1;
      while (true) {
        int nxc = -1, s = 0;
        each(d, g[c]) {
          if (d == p or banned[d]) continue;
          if (amax(s, sub[d])) nxc = d;
        }
        if (s <= S / 2) break;
        p = c, c = nxc;
      }
      nroot = c;
    }

    vi adj;
    each(d, g[nroot]) {
      if (banned[d]) continue;
      adj.push_back(d);
    }

    fill(all(sub), 0);
    {
      auto dfs = [&](auto rc, int c, int p) -> int {
        sub[c] = 1;
        each(d, g[c]) {
          if (d == p or banned[d]) continue;
          sub[c] += rc(rc, d, c);
        }
        return sub[c];
      };
      dfs(dfs, nroot, -1);
    }
    sort(all(adj), [&](int i, int j) { return sub[i] > sub[j]; });

    if (sz(adj) == 1) {
      assert(S == 2);
      int u = adj[0];
      int v = nroot;
      int x = send(u, v);
      if (x == 0) {
        root = u;
        banned[v] = 1;
      } else {
        root = v;
        banned[u] = 1;
      }
      continue;
    }

    int u = adj[0];
    int v = adj[1];
    int x = send(u, v);

    if (x == 0) {
      root = u;
      banned[nroot] = 1;
    } else if (x == 1) {
      root = nroot;
      banned[u] = banned[v] = 1;
    } else {
      root = v;
      banned[nroot] = 1;
    }
  }
}

void Nyaan::solve() {
  int t = 1;
  in(t);
  while (t--) q();
}

/*
// 4 以上 2 べき
pair<vi, vi> beki(int N) {
  if (N == 4) {
    vi p{0, 3, 1, 2};
    vi q{0, 1, 2, 3};
    return mkp(p, q);
  }
  auto [p, q] = beki(N / 2);
  rep(i, N / 2) {
    p.push_back(p[i] + N / 2);
    q.push_back(q[i] + N / 2);
  }
  reg(i, N / 4, N / 2) swap(q[i], q[N - 1 - i]);
  return {p, q};
}

pair<vi, vi> f(int N) {
  if (N % 4 != 0) return {};
  if ((N & (N - 1)) == 0) return beki(N);
  int t = ctz(N);
  auto [p, q] = f(N - (1 << t));
  auto [r, s] = f(1 << t);
  each(x, r) x ^= N - (1 << t);
  each(x, s) x ^= N - (1 << t);

  int u = ctz(N - (1 << t));
  int rest = N - PW(t) - PW(u);
  reg(i, PW(t - 1), PW(t)) swap(q[rest + i - PW(t - 1)], s[i]);
  each(x, r) p.push_back(x);
  each(x, s) q.push_back(x);
  return {p, q};
}

bool check(vi p, vi q) {
  int N = sz(p);
  vi r(N);
  rep(i, N) r[i] = p[i] ^ q[i];
  trc(r);
  sort(all(r));
  rep(i, N) if (r[i] != i) return false;
  return true;
}

void test() {
  rep1(nd4, 100) {
    int N = nd4 * 4;
    if ((N & (N - 1)) == 0) {
      auto [p, q] = beki(N);
      trc(p);
      trc(q);
      assert(check(p, q));
    }
    {
      auto [p, q] = f(N);
      trc(p);
      trc(q);
      assert(check(p, q));
    }
  }
}

void q() { test(); }

void Nyaan::solve() {
  int t = 1;
  // in(t);
  while (t--) q();
}
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3888kb

input:

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

output:

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

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 78ms
memory: 4276kb

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

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 39ms
memory: 3772kb

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

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 137ms
memory: 14308kb

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: 73ms
memory: 9232kb

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: 66ms
memory: 9032kb

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
? 3 4
? 2 3
! 2
? 4 1
? 6 4
? 7 6
! 6
? 11 1
? 6 10
? 7 6
? 12 7
! 12
? 16 13
? 29 19
? 7 5
? 27 7
? 8 27
! 27
? 8 24
? 6 20
? 13 10
? 25 32
? 7 25
? 29 7
! 29
? 80 113
? 16 115
? 63 112
? 25 50
? 81 89
? 11 81
? 114 11
! 114
? 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: 69ms
memory: 9236kb

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
? 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: 55ms
memory: 3740kb

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:

? 2 1
! 1
? 3 2
! 2
? 4 3
? 2 4
! 2
? 2 4
? 5 3
! 5
? 2 3
? 2 6
! 2
? 1 4
? 3 7
! 1
? 4 3
? 4 6
? 8 5
! 8
? 1 3
? 1 4
? 5 8
! 8
? 1 4
? 1 10
? 9 6
! 6
? 2 6
? 2 10
? 11 9
! 9
? 1 11
? 4 1
? 8 7
! 7
? 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: 89ms
memory: 9884kb

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: 51ms
memory: 7388kb

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: 52ms
memory: 7252kb

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:

? 2 1
! 1
? 4 2
? 3 4
! 3
? 8 1
? 6 4
? 8 7
! 7
? 16 15
? 6 12
? 8 10
? 13 8
! 13
? 19 2
? 3 15
? 25 18
? 13 27
? 30 13
! 13
? 9 14
? 58 24
? 29 32
? 17 3
? 15 39
? 57 15
! 57
? 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
! 14...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 50ms
memory: 7212kb

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:

? 2 1
! 1
? 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: 53ms
memory: 3752kb

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
? 1 3
! 3
? 4 2
? 3 4
! 3
? 1 4
? 3 5
! 3
? 4 5
? 3 4
! 3
? 4 7
? 5 6
! 4
? 5 1
? 3 8
? 6 3
! 6
? 4 1
? 3 6
? 7 3
! 3
? 1 2
? 7 10
? 4 7
! 4
? 10 1
? 10 11
? 8 5
! 5
? 12 1
? 12 11
? 2 11
! 2
? 2 4
? 12 2
? 7 12
! 12
? 8 12
? 10 8
? 5 8
! 8
? 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: 121ms
memory: 12200kb

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
? 51961 80813
! 51961
? 70265 86513
? 11800 36225
? 99536 25987
? 59217 63730
? 29352 84543
...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 57ms
memory: 8124kb

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: 63ms
memory: 8364kb

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
? 3 1
? 4 3
! 4
? 5 7
? 6 8
? 2 6
! 6
? 8 4
? 16 8
? 9 6
? 3 9
! 3
? 11 17
? 7 2
? 9 7
? 27 22
? 20 27
! 27
? 31 10
? 6 60
? 45 22
? 26 45
? 14 4
? 64 14
! 64
? 24 37
? 55 56
? 61 25
? 115 10
? 85 115
? 120 27
? 21 120
! 21
? 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: 63ms
memory: 8364kb

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
? 2 6
? 4 6
! 4
? 14 11
? 11 13
? 4 11
! 4
? 8 20
? 9 1
? 1 8
? 29 1
! 1
? 42 59
? 12 31
? 19 40
? 12 40
? 47 40
! 40
? 40 17
? 11 102
? 27 88
? 3 93
? 93 27
? 89 93
! 93
? 90 189
? 158 221
? 198 132
? 32 240
? 4 49
? 49 240
? 1 49
! 1
? 60 192
? 29 303
? 190 312
? 241 495
? 35 402
? 71 20...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 96ms
memory: 10048kb

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: 320ms
memory: 3608kb

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