QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#744459#9537. Chinese ChessmaspyTL 17ms4228kbC++2317.2kb2024-11-13 21:59:362024-11-13 21:59:38

Judging History

你现在查看的是最新测评结果

  • [2024-11-13 21:59:38]
  • 评测
  • 测评结果:TL
  • 用时:17ms
  • 内存:4228kb
  • [2024-11-13 21:59:36]
  • 提交

answer

#line 1 "/home/maspy/compro/library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else

// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("Ofast,unroll-loops")
// いまの CF だとこれ入れると動かない?
// #pragma GCC target("avx2,popcnt")

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;

template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'010'000'000;
template <>
constexpr ll infty<ll> = 2'020'000'000'000'000'000;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * 2'000'000'000'000'000'000;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;

using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;

#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
  vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))

// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)

#define FOR_subset(t, s) for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if

#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second

#define stoi stoll

int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
int popcnt_sgn(int x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(u32 x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(ll x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(u64 x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
T floor(T a, T b) {
  return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
  return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
  return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
  T q = floor(x, y);
  return {q, x - q * y};
}

template <typename T, typename U>
T SUM(const vector<U> &A) {
  T sm = 0;
  for (auto &&a: A) sm += a;
  return sm;
}

#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()

template <typename T>
T POP(deque<T> &que) {
  T a = que.front();
  que.pop_front();
  return a;
}
template <typename T>
T POP(pq<T> &que) {
  T a = que.top();
  que.pop();
  return a;
}
template <typename T>
T POP(pqg<T> &que) {
  T a = que.top();
  que.pop();
  return a;
}
template <typename T>
T POP(vc<T> &que) {
  T a = que.back();
  que.pop_back();
  return a;
}

template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
  if (check_ok) assert(check(ok));
  while (abs(ok - ng) > 1) {
    auto x = (ng + ok) / 2;
    (check(x) ? ok : ng) = x;
  }
  return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
  FOR(iter) {
    double x = (ok + ng) / 2;
    (check(x) ? ok : ng) = x;
  }
  return (ok + ng) / 2;
}

template <class T, class S>
inline bool chmax(T &a, const S &b) {
  return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
  return (a > b ? a = b, 1 : 0);
}

// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
  vc<int> A(S.size());
  FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
  return A;
}

template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
  int N = A.size();
  vector<T> B(N + 1);
  FOR(i, N) { B[i + 1] = B[i] + A[i]; }
  if (off == 0) B.erase(B.begin());
  return B;
}

// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
  vector<int> ids(len(A));
  iota(all(ids), 0);
  sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
  return ids;
}

// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
  vc<T> B(len(I));
  FOR(i, len(I)) B[i] = A[I[i]];
  return B;
}

template <typename T, typename... Vectors>
void concat(vc<T> &first, const Vectors &... others) {
  vc<T> &res = first;
  (res.insert(res.end(), others.begin(), others.end()), ...);
}
#endif
#line 1 "/home/maspy/compro/library/other/io2.hpp"
#define INT(...)   \
  int __VA_ARGS__; \
  IN(__VA_ARGS__)
#define LL(...)   \
  ll __VA_ARGS__; \
  IN(__VA_ARGS__)
#define STR(...)      \
  string __VA_ARGS__; \
  IN(__VA_ARGS__)
#define CHR(...)    \
  char __VA_ARGS__; \
  IN(__VA_ARGS__)
#define DBL(...)           \
  long double __VA_ARGS__; \
  IN(__VA_ARGS__)

#define VEC(type, name, size) \
  vector<type> name(size);    \
  read(name)
#define VV(type, name, h, w)                     \
  vector<vector<type>> name(h, vector<type>(w)); \
  read(name)

void read(int &a) { cin >> a; }
void read(long long &a) { cin >> a; }
void read(char &a) { cin >> a; }
void read(double &a) { cin >> a; }
void read(long double &a) { cin >> a; }
void read(string &a) { cin >> a; }
template <class T, class S>
void read(pair<T, S> &p) {
  read(p.first), read(p.second);
}
template <class T>
void read(vector<T> &a) {
  for (auto &i: a) read(i);
}
template <class T>
void read(T &a) {
  cin >> a;
}
void IN() {}
template <class Head, class... Tail>
void IN(Head &head, Tail &... tail) {
  read(head);
  IN(tail...);
}

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &A) {
  os << A.fi << " " << A.se;
  return os;
}

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

// chatgpt helped me
class CoutInitializer {
public:
  CoutInitializer() { std::cout << std::fixed << std::setprecision(15); }
};
static CoutInitializer cout_initializer;

void print() {
  cout << "\n";
  cout.flush();
}

template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
  cout << head;
  if (sizeof...(Tail)) cout << " ";
  print(forward<Tail>(tail)...);
}

void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 3 "main.cpp"

#line 2 "/home/maspy/compro/library/graph/base.hpp"

template <typename T>
struct Edge {
  int frm, to;
  T cost;
  int id;
};

template <typename T = int, bool directed = false>
struct Graph {
  static constexpr bool is_directed = directed;
  int N, M;
  using cost_type = T;
  using edge_type = Edge<T>;
  vector<edge_type> edges;
  vector<int> indptr;
  vector<edge_type> csr_edges;
  vc<int> vc_deg, vc_indeg, vc_outdeg;
  bool prepared;

  class OutgoingEdges {
  public:
    OutgoingEdges(const Graph* G, int l, int r) : G(G), l(l), r(r) {}

    const edge_type* begin() const {
      if (l == r) { return 0; }
      return &G->csr_edges[l];
    }

    const edge_type* end() const {
      if (l == r) { return 0; }
      return &G->csr_edges[r];
    }

  private:
    const Graph* G;
    int l, r;
  };

  bool is_prepared() { return prepared; }

  Graph() : N(0), M(0), prepared(0) {}
  Graph(int N) : N(N), M(0), prepared(0) {}

  void build(int n) {
    N = n, M = 0;
    prepared = 0;
    edges.clear();
    indptr.clear();
    csr_edges.clear();
    vc_deg.clear();
    vc_indeg.clear();
    vc_outdeg.clear();
  }

  void add(int frm, int to, T cost = 1, int i = -1) {
    assert(!prepared);
    assert(0 <= frm && 0 <= to && to < N);
    if (i == -1) i = M;
    auto e = edge_type({frm, to, cost, i});
    edges.eb(e);
    ++M;
  }

#ifdef FASTIO
  // wt, off
  void read_tree(bool wt = false, int off = 1) { read_graph(N - 1, wt, off); }

  void read_graph(int M, bool wt = false, int off = 1) {
    for (int m = 0; m < M; ++m) {
      INT(a, b);
      a -= off, b -= off;
      if (!wt) {
        add(a, b);
      } else {
        T c;
        read(c);
        add(a, b, c);
      }
    }
    build();
  }
#endif

  void build() {
    assert(!prepared);
    prepared = true;
    indptr.assign(N + 1, 0);
    for (auto&& e: edges) {
      indptr[e.frm + 1]++;
      if (!directed) indptr[e.to + 1]++;
    }
    for (int v = 0; v < N; ++v) { indptr[v + 1] += indptr[v]; }
    auto counter = indptr;
    csr_edges.resize(indptr.back() + 1);
    for (auto&& e: edges) {
      csr_edges[counter[e.frm]++] = e;
      if (!directed)
        csr_edges[counter[e.to]++] = edge_type({e.to, e.frm, e.cost, e.id});
    }
  }

  OutgoingEdges operator[](int v) const {
    assert(prepared);
    return {this, indptr[v], indptr[v + 1]};
  }

  vc<int> deg_array() {
    if (vc_deg.empty()) calc_deg();
    return vc_deg;
  }

  pair<vc<int>, vc<int>> deg_array_inout() {
    if (vc_indeg.empty()) calc_deg_inout();
    return {vc_indeg, vc_outdeg};
  }

  int deg(int v) {
    if (vc_deg.empty()) calc_deg();
    return vc_deg[v];
  }

  int in_deg(int v) {
    if (vc_indeg.empty()) calc_deg_inout();
    return vc_indeg[v];
  }

  int out_deg(int v) {
    if (vc_outdeg.empty()) calc_deg_inout();
    return vc_outdeg[v];
  }

#ifdef FASTIO
  void debug() {
    print("Graph");
    if (!prepared) {
      print("frm to cost id");
      for (auto&& e: edges) print(e.frm, e.to, e.cost, e.id);
    } else {
      print("indptr", indptr);
      print("frm to cost id");
      FOR(v, N) for (auto&& e: (*this)[v]) print(e.frm, e.to, e.cost, e.id);
    }
  }
#endif

  vc<int> new_idx;
  vc<bool> used_e;

  // G における頂点 V[i] が、新しいグラフで i になるようにする
  // {G, es}
  // sum(deg(v)) の計算量になっていて、
  // 新しいグラフの n+m より大きい可能性があるので注意
  Graph<T, directed> rearrange(vc<int> V, bool keep_eid = 0) {
    if (len(new_idx) != N) new_idx.assign(N, -1);
    int n = len(V);
    FOR(i, n) new_idx[V[i]] = i;
    Graph<T, directed> G(n);
    vc<int> history;
    FOR(i, n) {
      for (auto&& e: (*this)[V[i]]) {
        if (len(used_e) <= e.id) used_e.resize(e.id + 1);
        if (used_e[e.id]) continue;
        int a = e.frm, b = e.to;
        if (new_idx[a] != -1 && new_idx[b] != -1) {
          history.eb(e.id);
          used_e[e.id] = 1;
          int eid = (keep_eid ? e.id : -1);
          G.add(new_idx[a], new_idx[b], e.cost, eid);
        }
      }
    }
    FOR(i, n) new_idx[V[i]] = -1;
    for (auto&& eid: history) used_e[eid] = 0;
    G.build();
    return G;
  }

  Graph<T, true> to_directed_tree(int root = -1) {
    if (root == -1) root = 0;
    assert(!is_directed && prepared && M == N - 1);
    Graph<T, true> G1(N);
    vc<int> par(N, -1);
    auto dfs = [&](auto& dfs, int v) -> void {
      for (auto& e: (*this)[v]) {
        if (e.to == par[v]) continue;
        par[e.to] = v, dfs(dfs, e.to);
      }
    };
    dfs(dfs, root);
    for (auto& e: edges) {
      int a = e.frm, b = e.to;
      if (par[a] == b) swap(a, b);
      assert(par[b] == a);
      G1.add(a, b, e.cost);
    }
    G1.build();
    return G1;
  }

private:
  void calc_deg() {
    assert(vc_deg.empty());
    vc_deg.resize(N);
    for (auto&& e: edges) vc_deg[e.frm]++, vc_deg[e.to]++;
  }

  void calc_deg_inout() {
    assert(vc_indeg.empty());
    vc_indeg.resize(N);
    vc_outdeg.resize(N);
    for (auto&& e: edges) { vc_indeg[e.to]++, vc_outdeg[e.frm]++; }
  }
};
#line 3 "/home/maspy/compro/library/graph/shortest_path/warshall_floyd.hpp"

// 負辺があっても負閉路がなければ正しく動作する。
// 負閉路があるかどうかは、dist[v][v] < 0 となる v があるかどうかで判定。
template <typename T, typename GT>
vc<vc<T>> warshall_floyd(GT& G) {
  ll N = G.N;
  vv(T, dist, N, N, infty<T>);
  FOR(v, N) {
    dist[v][v] = 0;
    for (auto&& e: G[v]) chmin(dist[v][e.to], e.cost);
  }
  FOR(k, N) FOR(i, N) {
    if (dist[i][k] == infty<T>) continue;
    FOR(j, N) {
      if (dist[k][j] == infty<T>) continue;
      chmin(dist[i][j], dist[i][k] + dist[k][j]);
    }
  }
  return dist;
}
#line 5 "main.cpp"

int dist[6][90][90];

// 質問, return -> u128
// 質問 = [0,90), return = int
map<int, array<u128, 6>> MASK[90];

int idx(int x, int y) { return 9 * x + y; }

void init() {
  FOR(t, 6) {
    Graph<int, 1> G(90);
    FOR(a, 10) FOR(b, 9) {
      FOR(c, 10) FOR(d, 9) {
        bool ok = 0;
        if (t == 0) { ok = (abs(a - c) + abs(b - d) == 1); }
        if (t == 1) { ok = (abs(a - c) == 1 && abs(b - d) == 1); }
        if (t == 2) { ok = (a == c || b == d); }
        if (t == 3) {
          ll dx = a - c, dy = b - d;
          ok = (dx * dx + dy * dy == 5);
        }
        if (t == 4) { ok = (abs(a - c) == 2 && abs(b - d) == 2); }
        if (t == 5) {
          if (a <= 4) {
            ok = (c == a + 1 && b == d);
          } else {
            ok = ok | (c == a + 1 && b == d);
            ok = ok | (c == a && d == b - 1);
            ok = ok | (c == a && d == b + 1);
          }
        }
        if (ok) G.add(idx(a, b), idx(c, d), 1);
      }
    }
    G.build();
    auto mat = warshall_floyd<int>(G);
    FOR(x, 90) FOR(y, 90) {
      int d = mat[x][y];
      if (d == infty<int>) d = -1;
      dist[t][x][y] = d;
    }
  }

  FOR(x, 90) {
    FOR(k, -1, 91) {
      array<u128, 6> A{};
      FOR(t, 6) FOR(y, 90) {
        if (dist[t][y][x] == k) A[t] |= u128(1) << y;
      }
      if (A[0] + A[1] + A[2] + A[3] + A[4] + A[5] == 0) continue;
      MASK[x][k] = A;
    }
  }
}

using T = array<u128, 6>;

// worst case ques time, question
pair<int, int> F(array<u128, 6> A, int lim) {
  if (lim == 0) return {0, 0};
  static map<T, pair<int, int>> MP;
  if (MP.count(A)) return MP[A];
  int now = 0;
  FOR(i, 6) { now += A[i] > 0; }
  if (now <= 1) return {0, 0};
  if (lim == 0) return {infty<int>, 0};
  int ans = lim;
  int ask = 0;
  FOR(x, 90) {
    int worst = 0;
    for (auto& [resp, mask]: MASK[x]) {
      array<u128, 6> nxt{};
      FOR(i, 6) nxt[i] = A[i] & mask[i];
      chmax(worst, F(nxt, lim - 1).fi);
    }
    if (chmin(ans, worst + 1)) ask = x, lim = ans;
  }
  return MP[A] = {ans, ask};
}

void solve() {
  INT(N);
  array<u128, 6> A{};
  FOR(N) {
    INT(x, y);
    x = idx(x, y);
    FOR(t, 6) A[t] |= u128(1) << x;
  }
  auto [ans, ask] = F(A, 3);
  print(ans);
  while (ans > 0) {
    int x = ask;
    auto [a, b] = divmod(x, 9);
    print("?", a, b);
    INT(k);
    auto mask = MASK[x][k];
    FOR(t, 6) A[t] &= mask[t];
    tie(ans, ask) = F(A, 3);
  }
  string S = "JSCMXB";
  FOR(t, 6) if (A[t] != 0) {
    print("!", S[t]);
    return;
  }
}

signed main() {
  init();
  solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 6ms
memory: 4228kb

input:

1
9 0
8

output:

1
? 1 8
! S

result:

ok number is guessed.

Test #2:

score: 0
Accepted
time: 8ms
memory: 3940kb

input:

4
2 1
2 3
2 5
2 7
5
1

output:

2
? 0 0
? 0 6
! M

result:

ok number is guessed.

Test #3:

score: 0
Accepted
time: 6ms
memory: 3972kb

input:

1
2 4
-1
1

output:

2
? 0 0
? 0 2
! X

result:

ok number is guessed.

Test #4:

score: 0
Accepted
time: 4ms
memory: 4032kb

input:

1
5 0
6

output:

1
? 3 6
! S

result:

ok number is guessed.

Test #5:

score: 0
Accepted
time: 5ms
memory: 3992kb

input:

1
6 0
6

output:

1
? 0 2
! S

result:

ok number is guessed.

Test #6:

score: 0
Accepted
time: 7ms
memory: 4044kb

input:

2
7 7
1 0
-1
6

output:

2
? 0 0
? 7 2
! S

result:

ok number is guessed.

Test #7:

score: 0
Accepted
time: 10ms
memory: 4088kb

input:

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

output:

2
? 0 0
? 0 3
! J

result:

ok number is guessed.

Test #8:

score: 0
Accepted
time: 8ms
memory: 4040kb

input:

6
0 7
1 6
2 8
0 5
7 6
8 2
-1
14

output:

2
? 0 0
? 8 1
! B

result:

ok number is guessed.

Test #9:

score: 0
Accepted
time: 7ms
memory: 4040kb

input:

7
6 5
3 0
3 2
4 1
4 0
2 4
5 2
5
7

output:

2
? 0 0
? 0 4
! J

result:

ok number is guessed.

Test #10:

score: 0
Accepted
time: 15ms
memory: 4116kb

input:

8
3 3
2 5
6 2
7 4
1 4
3 0
2 4
3 4
7
-1

output:

2
? 0 1
? 0 0
! S

result:

ok number is guessed.

Test #11:

score: 0
Accepted
time: 17ms
memory: 4104kb

input:

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

output:

2
? 2 0
? 0 0
! J

result:

ok number is guessed.

Test #12:

score: -100
Time Limit Exceeded

input:

10
4 0
0 0
5 0
7 0
8 0
1 0
6 0
9 0
2 0
3 0
-1
2

output:

2
? 1 0
? 0 0
? 0 0

result: