verify/verify-yuki/yuki-1775.test.cpp

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Last update: 2023-08-10 14:06:55+09:00
Problem: https://yukicoder.me/problems/no/1775

Depends on

Code

#define PROBLEM "https://yukicoder.me/problems/no/1775"

#include "../../template/template.hpp"
//
#include "../../math/nimber.hpp"
#include "../../misc/rng.hpp"

using namespace Nyaan;

Nimber64 dp[2][2][128][128];
Nimber64 nx[2][2][128][128];
Nimber64 w[128][128];

void Nyaan::solve() {
  i64 N, M, X, Y, Z, u, v;
  cin >> N >> M >> X >> Y >> Z;
  --X, --Y, --Z;
  rep(i, N) rep(j, i) {
    u64 x = u64(rng()) % u64(-1) + 1;
    w[i][j] = w[j][i] = x;
  }
  rep(i, M) {
    cin >> u >> v;
    --u, --v;
    w[u][v] = w[v][u] = 0;
  }
  // y 訪問済み / z 訪問済み / 今のマス / 前のマス
  dp[0][0][X][X] = 1;
  rep1(L, N) {
    memset(nx, 0, sizeof(nx));
    rep(ky, 2) rep(kz, 2) rep(c, N) rep(d, N) {
      if (w[c][d] == 0) continue;
      if (ky == 1 and d == Y) continue;
      if (kz == 1 and d == Z) continue;
      int nky = ky | (d == Y), nkz = kz | (d == Z);
      rep(p, N) if (p != d) nx[nky][nkz][d][c] += dp[ky][kz][c][p];
    }
    rep(ky, 2) rep(kz, 2) rep(i, N) rep(j, N) {
      if (w[i][j] != 0) nx[ky][kz][i][j] *= w[i][j];
    }
    swap(dp, nx);
    rep(i, N) if (dp[1][1][X][i] != 0) die(L);
  }
  die(-1);
}

#line 1 "verify/verify-yuki/yuki-1775.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1775"

#line 2 "template/template.hpp"
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 <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility
#line 1 "template/util.hpp"
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>
  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(vector<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) {
  return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}

}  // namespace Nyaan
#line 58 "template/template.hpp"

// bit operation
#line 1 "template/bitop.hpp"
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return _mm_popcnt_u64(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
#line 61 "template/template.hpp"

// inout
#line 1 "template/inout.hpp"
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
#line 64 "template/template.hpp"

// debug
#line 1 "template/debug.hpp"
namespace DebugImpl {

template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, typename U::iterator, void>::type>
    : true_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, decltype(U::first), void>::type>
    : true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {
};

void dump(const char& t) { cerr << t; }

void dump(const string& t) { cerr << t; }

void dump(const bool& t) { cerr << (t ? "true" : "false"); }

void dump(__int128_t t) {
  if (t == 0) cerr << 0;
  if (t < 0) cerr << '-', t = -t;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

void dump(__uint128_t t) {
  if (t == 0) cerr << 0;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

template <typename U,
          enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
  cerr << t;
}

template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
  string res;
  if (t == Nyaan::inf) res = "inf";
  if constexpr (is_signed<T>::value) {
    if (t == -Nyaan::inf) res = "-inf";
  }
  if constexpr (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if constexpr (is_signed<T>::value) {
      if (t == -Nyaan::infLL) res = "-inf";
    }
  }
  if (res.empty()) res = to_string(t);
  cerr << res;
}

template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);

template <typename T>
void dump(const T& t,
          enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
  cerr << "[ ";
  for (auto it = t.begin(); it != t.end();) {
    dump(*it);
    cerr << (++it == t.end() ? "" : ", ");
  }
  cerr << " ]";
}

template <typename T, typename U>
void dump(const pair<T, U>& t) {
  cerr << "( ";
  dump(t.first);
  cerr << ", ";
  dump(t.second);
  cerr << " )";
}

template <typename T>
void dump(const pair<T*, int>& t) {
  cerr << "[ ";
  for (int i = 0; i < t.second; i++) {
    dump(t.first[i]);
    cerr << (i == t.second - 1 ? "" : ", ");
  }
  cerr << " ]";
}

void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
  cerr << " ";
  dump(head);
  if (sizeof...(tail) != 0) cerr << ",";
  trace(forward<Tail>(tail)...);
}

}  // namespace DebugImpl

#ifdef NyaanDebug
#define trc(...)                            \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc(...) (void(0))
#endif

#ifdef NyaanLocal
#define trc2(...)                           \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc2(...) (void(0))
#endif
#line 67 "template/template.hpp"

// macro
#line 1 "template/macro.hpp"
#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)
#line 70 "template/template.hpp"

namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
#line 4 "verify/verify-yuki/yuki-1775.test.cpp"
//
#line 2 "math/nimber.hpp"

#line 2 "math/garner.hpp"

// input  : a, M (0 < a < M)
// output : pair(g, x) s.t. g = gcd(a, M), xa = g (mod M), 0 <= x < b/g
template <typename uint>
pair<uint, uint> gcd_inv(uint a, uint M) {
  assert(M != 0 && 0 < a);
  a %= M;
  uint b = M, s = 1, t = 0;
  while (true) {
    if (a == 0) return {b, t + M};
    t -= b / a * s;
    b %= a;
    if (b == 0) return {a, s};
    s -= a / b * t;
    a %= b;
  }
}

// 入力 : 0 <= rem[i] < mod[i], 1 <= mod[i]
// 存在するとき   : return {rem, mod}
// 存在しないとき : return {0, 0}
template <typename T, typename U>
pair<unsigned long long, unsigned long long> garner(const vector<T>& rem,
                                                    const vector<U>& mod) {
  assert(rem.size() == mod.size());
  using u64 = unsigned long long;
  u64 r0 = 0, m0 = 1;
  for (int i = 0; i < (int)rem.size(); i++) {
    assert(1 <= mod[i]);
    assert(0 <= rem[i] && rem[i] < mod[i]);
    u64 m1 = mod[i], r1 = rem[i] % m1;
    if (m0 < m1) swap(r0, r1), swap(m0, m1);
    if (m0 % m1 == 0) {
      if (r0 % m1 != r1) return {0, 0};
      continue;
    }
    u64 g, im;
    tie(g, im) = gcd_inv(m0, m1);
    u64 y = r0 < r1 ? r1 - r0 : r0 - r1;
    if (y % g != 0) return {0, 0};
    u64 u1 = m1 / g;
    y = y / g % u1;
    if (r0 > r1 && y != 0) y = u1 - y;
    u64 x = y * im % u1;
    r0 += x * m0;
    m0 *= u1;
  }
  return {r0, m0};
}

/**
 * @brief Garner's algorithm
 */
#line 4 "math/nimber.hpp"

namespace NimberImpl {
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;

struct calc8 {
  u16 dp[1 << 8][1 << 8];
  constexpr calc8() : dp() {
    dp[0][0] = dp[0][1] = dp[1][0] = 0;
    dp[1][1] = 1;
    for (int e = 1; e <= 3; e++) {
      int p = 1 << e, q = p >> 1;
      u16 ep = 1u << p, eq = 1u << q;
      for (u16 i = 0; i < ep; i++) {
        for (u16 j = i; j < ep; j++) {
          if (i < eq && j < eq) continue;
          if (min(i, j) <= 1u) {
            dp[i][j] = dp[j][i] = i * j;
            continue;
          }
          u16 iu = i >> q, il = i & (eq - 1);
          u16 ju = j >> q, jl = j & (eq - 1);
          u16 u = dp[iu][ju], l = dp[il][jl];
          u16 ul = dp[iu ^ il][ju ^ jl];
          u16 uq = dp[u][eq >> 1];
          dp[i][j] = ((ul ^ l) << q) ^ uq ^ l;
          dp[j][i] = dp[i][j];
        }
      }
    }
  }
} constexpr c8;

struct calc16 {
  static constexpr u16 proot = 10279;
  static constexpr u32 ppoly = 92191;
  static constexpr int order = 65535;

  u16 base[16], exp[(1 << 18) + 100];
  int log[1 << 16];

 private:
  constexpr u16 d(u32 x) { return (x << 1) ^ (x < 32768u ? 0 : ppoly); }

  constexpr u16 naive(u16 i, u16 j) {
    if (min(i, j) <= 1u) return i * j;
    u16 q = 8, eq = 1u << 8;
    u16 iu = i >> q, il = i & (eq - 1);
    u16 ju = j >> q, jl = j & (eq - 1);
    u16 u = c8.dp[iu][ju];
    u16 l = c8.dp[il][jl];
    u16 ul = c8.dp[iu ^ il][ju ^ jl];
    u16 uq = c8.dp[u][eq >> 1];
    return ((ul ^ l) << q) ^ uq ^ l;
  }

 public:
  constexpr calc16() : base(), exp(), log() {
    base[0] = 1;
    for (int i = 1; i < 16; i++) base[i] = naive(base[i - 1], proot);
    exp[0] = 1;
    for (int i = 1; i < order; i++) exp[i] = d(exp[i - 1]);
    u16* pre = exp + order + 1;
    pre[0] = 0;
    for (int b = 0; b < 16; b++) {
      int is = 1 << b, ie = is << 1;
      for (int i = is; i < ie; i++) pre[i] = pre[i - is] ^ base[b];
    }
    for (int i = 0; i < order; i++) exp[i] = pre[exp[i]], log[exp[i]] = i;

    int ie = 2 * order + 30;
    for (int i = order; i < ie; i++) exp[i] = exp[i - order];
    for (unsigned int i = ie; i < sizeof(exp) / sizeof(u16); i++) exp[i] = 0;
    log[0] = ie + 1;
  }

  constexpr u16 prod(u16 i, u16 j) const { return exp[log[i] + log[j]]; }

  // exp[3] = 2^{15} = 32768
  constexpr u16 Hprod(u16 i, u16 j) const { return exp[log[i] + log[j] + 3]; }
  constexpr u16 H(u16 i) const { return exp[log[i] + 3]; }
  constexpr u16 H2(u16 i) const { return exp[log[i] + 6]; }
} constexpr c16;

u16 product16(u16 i, u16 j) { return c16.prod(i, j); }

constexpr u32 product32(u32 i, u32 j) {
  u16 iu = i >> 16, il = i & 65535;
  u16 ju = j >> 16, jl = j & 65535;
  u16 l = c16.prod(il, jl);
  u16 ul = c16.prod(iu ^ il, ju ^ jl);
  u16 uq = c16.Hprod(iu, ju);
  return (u32(ul ^ l) << 16) ^ uq ^ l;
}

// (+ : xor, x : nim product, * : integer product)
// i x j
// = (iu x ju + il x ju + iu x ji) * 2^{16}
// + (iu x ju x 2^{15}) + il x jl
// (assign ju = 2^{15}, jl = 0)
// = ((iu + il) x 2^{15}) * 2^{16} + (iu x 2^{15} x 2^{15})
constexpr u32 H(u32 i) {
  u16 iu = i >> 16;
  u16 il = i & 65535;
  return (u32(c16.H(iu ^ il)) << 16) ^ c16.H2(iu);
}

constexpr u64 product64(u64 i, u64 j) {
  u32 iu = i >> 32, il = i & u32(-1);
  u32 ju = j >> 32, jl = j & u32(-1);
  u32 l = product32(il, jl);
  u32 ul = product32(iu ^ il, ju ^ jl);
  u32 uq = H(product32(iu, ju));
  return (u64(ul ^ l) << 32) ^ uq ^ l;
}
}  // namespace NimberImpl

template <typename uint, uint (*prod)(uint, uint)>
struct NimberBase {
  using N = NimberBase;
  uint x;
  NimberBase() : x(0) {}
  NimberBase(uint _x) : x(_x) {}
  static N id0() { return {}; }
  static N id1() { return {1}; }

  N& operator+=(const N& p) {
    x ^= p.x;
    return *this;
  }
  N& operator-=(const N& p) {
    x ^= p.x;
    return *this;
  }
  N& operator*=(const N& p) {
    x = prod(x, p.x);
    return *this;
  }
  N operator+(const N& p) const { return x ^ p.x; }
  N operator-(const N& p) const { return x ^ p.x; }
  N operator*(const N& p) const { return prod(x, p.x); }
  bool operator==(const N& p) const { return x == p.x; }
  bool operator!=(const N& p) const { return x != p.x; }
  N pow(uint64_t n) const {
    N a = *this, r = 1;
    for (; n; a *= a, n >>= 1)
      if (n & 1) r *= a;
    return r;
  }
  friend ostream& operator<<(ostream& os, const N& p) { return os << p.x; }

  // calculate log_a (b)
  uint discrete_logarithm(N y) const {
    assert(x != 0 && y != 0);
    vector<uint> rem, mod;
    for (uint p : {3, 5, 17, 257, 641, 65537, 6700417}) {
      if (uint(-1) % p) continue;
      uint q = uint(-1) / p;
      uint STEP = 1;
      while (4 * STEP * STEP < p) STEP *= 2;
      // a^m = z を満たす 1 以上の整数 m を返す
      auto inside = [&](N a, N z) -> uint {
        unordered_map<uint, int> mp;
        N big = 1, now = 1;  // x^m
        for (int i = 0; i < int(STEP); i++) {
          mp[z.x] = i, z *= a, big *= a;
        }
        for (int step = 0; step < int(p + 10); step += STEP) {
          now *= big;
          if (mp.find(now.x) != mp.end()) return (step + STEP) - mp[now.x];
        }
        return uint(-1);
      };
      N xq = (*this).pow(q), yq = y.pow(q);
      if (xq == 1 and yq == 1) continue;
      if (xq == 1 and yq != 1) return uint(-1);
      uint res = inside(xq, yq);
      if (res == uint(-1)) return uint(-1);
      rem.push_back(res % p);
      mod.push_back(p);
    }
    return garner(rem, mod).first;
  }

  uint is_primitive_root() const {
    if (x == 0) return false;
    for (uint p : {3, 5, 17, 257, 641, 65537, 6700417}) {
      if (uint(-1) % p != 0) continue;
      if ((*this).pow(uint(-1) / p) == 1) return false;
    }
    return true;
  }
};

using Nimber16 = NimberBase<uint16_t, NimberImpl::product16>;
using Nimber32 = NimberBase<uint32_t, NimberImpl::product32>;
using Nimber64 = NimberBase<uint64_t, NimberImpl::product64>;
using Nimber = Nimber64;

/**
 * @brief Nim Product
 * @docs docs/math/nimber.md
 */
#line 2 "misc/rng.hpp"

#line 2 "internal/internal-seed.hpp"

#line 4 "internal/internal-seed.hpp"
using namespace std;

namespace internal {
unsigned long long non_deterministic_seed() {
  unsigned long long m =
      chrono::duration_cast<chrono::nanoseconds>(
          chrono::high_resolution_clock::now().time_since_epoch())
          .count();
  m ^= 9845834732710364265uLL;
  m ^= m << 24, m ^= m >> 31, m ^= m << 35;
  return m;
}
unsigned long long deterministic_seed() { return 88172645463325252UL; }

// 64 bit の seed 値を生成 (手元では seed 固定)
// 連続で呼び出すと同じ値が何度も返ってくるので注意
// #define RANDOMIZED_SEED するとシードがランダムになる
unsigned long long seed() {
#if defined(NyaanLocal) && !defined(RANDOMIZED_SEED)
  return deterministic_seed();
#else
  return non_deterministic_seed();
#endif
}

}  // namespace internal
#line 4 "misc/rng.hpp"

namespace my_rand {
using i64 = long long;
using u64 = unsigned long long;

// [0, 2^64 - 1)
u64 rng() {
  static u64 _x = internal::seed();
  return _x ^= _x << 7, _x ^= _x >> 9;
}

// [l, r]
i64 rng(i64 l, i64 r) {
  assert(l <= r);
  return l + rng() % u64(r - l + 1);
}

// [l, r)
i64 randint(i64 l, i64 r) {
  assert(l < r);
  return l + rng() % u64(r - l);
}

// choose n numbers from [l, r) without overlapping
vector<i64> randset(i64 l, i64 r, i64 n) {
  assert(l <= r && n <= r - l);
  unordered_set<i64> s;
  for (i64 i = n; i; --i) {
    i64 m = randint(l, r + 1 - i);
    if (s.find(m) != s.end()) m = r - i;
    s.insert(m);
  }
  vector<i64> ret;
  for (auto& x : s) ret.push_back(x);
  return ret;
}

// [0.0, 1.0)
double rnd() { return rng() * 5.42101086242752217004e-20; }
// [l, r)
double rnd(double l, double r) {
  assert(l < r);
  return l + rnd() * (r - l);
}

template <typename T>
void randshf(vector<T>& v) {
  int n = v.size();
  for (int i = 1; i < n; i++) swap(v[i], v[randint(0, i + 1)]);
}

}  // namespace my_rand

using my_rand::randint;
using my_rand::randset;
using my_rand::randshf;
using my_rand::rnd;
using my_rand::rng;
#line 7 "verify/verify-yuki/yuki-1775.test.cpp"

using namespace Nyaan;

Nimber64 dp[2][2][128][128];
Nimber64 nx[2][2][128][128];
Nimber64 w[128][128];

void Nyaan::solve() {
  i64 N, M, X, Y, Z, u, v;
  cin >> N >> M >> X >> Y >> Z;
  --X, --Y, --Z;
  rep(i, N) rep(j, i) {
    u64 x = u64(rng()) % u64(-1) + 1;
    w[i][j] = w[j][i] = x;
  }
  rep(i, M) {
    cin >> u >> v;
    --u, --v;
    w[u][v] = w[v][u] = 0;
  }
  // y 訪問済み / z 訪問済み / 今のマス / 前のマス
  dp[0][0][X][X] = 1;
  rep1(L, N) {
    memset(nx, 0, sizeof(nx));
    rep(ky, 2) rep(kz, 2) rep(c, N) rep(d, N) {
      if (w[c][d] == 0) continue;
      if (ky == 1 and d == Y) continue;
      if (kz == 1 and d == Z) continue;
      int nky = ky | (d == Y), nkz = kz | (d == Z);
      rep(p, N) if (p != d) nx[nky][nkz][d][c] += dp[ky][kz][c][p];
    }
    rep(ky, 2) rep(kz, 2) rep(i, N) rep(j, N) {
      if (w[i][j] != 0) nx[ky][kz][i][j] *= w[i][j];
    }
    swap(dp, nx);
    rep(i, N) if (dp[1][1][X][i] != 0) die(L);
  }
  die(-1);
}

Nyaan's Library

This documentation is automatically generated by online-judge-tools/verification-helper

verify/verify-yuki/yuki-1775.test.cpp

Depends on

Code