#516887 (C++17) No.1124 Earthquake Safety

提出ソース

結果

問題	No.1124 Earthquake Safety
ユーザー	NyaanNyaan
提出日時	2020-07-23 00:47:04
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	313 ms / 3,000 ms
コード長	9,257 bytes
コンパイル時間	2,568 ms
コンパイル使用メモリ	208,732 KB
実行使用メモリ	86,396 KB
最終ジャッジ日時	2023-09-05 07:14:55
合計ジャッジ時間	15,536 ms
ジャッジサーバーID （参考情報）	judge12 / judge11

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 4,380 KB
testcase_01	AC	2 ms 4,380 KB
testcase_02	AC	2 ms 4,376 KB
testcase_03	AC	2 ms 4,380 KB
testcase_04	AC	2 ms 4,376 KB
testcase_05	AC	2 ms 4,376 KB
testcase_06	AC	2 ms 4,380 KB
testcase_07	AC	6 ms 4,376 KB
testcase_08	AC	68 ms 9,036 KB
testcase_09	AC	258 ms 20,928 KB
testcase_10	AC	226 ms 86,396 KB
testcase_11	AC	2 ms 4,376 KB
testcase_12	AC	1 ms 4,376 KB
testcase_13	AC	2 ms 4,380 KB
testcase_14	AC	291 ms 21,080 KB
testcase_15	AC	289 ms 20,820 KB
testcase_16	AC	286 ms 20,860 KB
testcase_17	AC	284 ms 20,900 KB
testcase_18	AC	295 ms 20,940 KB
testcase_19	AC	285 ms 21,056 KB
testcase_20	AC	278 ms 20,940 KB
testcase_21	AC	285 ms 20,976 KB
testcase_22	AC	288 ms 20,920 KB
testcase_23	AC	247 ms 20,740 KB
testcase_24	AC	255 ms 20,788 KB
testcase_25	AC	247 ms 21,092 KB
testcase_26	AC	246 ms 20,992 KB
testcase_27	AC	243 ms 24,416 KB
testcase_28	AC	243 ms 24,968 KB
testcase_29	AC	261 ms 36,596 KB
testcase_30	AC	266 ms 36,892 KB
testcase_31	AC	307 ms 61,708 KB
testcase_32	AC	295 ms 57,244 KB
testcase_33	AC	309 ms 54,312 KB
testcase_34	AC	313 ms 59,852 KB
testcase_35	AC	242 ms 20,524 KB
testcase_36	AC	227 ms 20,696 KB
testcase_37	AC	229 ms 21,928 KB
testcase_38	AC	228 ms 21,640 KB
testcase_39	AC	223 ms 21,396 KB
testcase_40	AC	226 ms 21,932 KB
testcase_41	AC	223 ms 21,580 KB
testcase_42	AC	213 ms 22,148 KB
testcase_43	AC	213 ms 22,104 KB
testcase_44	AC	208 ms 22,240 KB
testcase_45	AC	205 ms 21,872 KB
testcase_46	AC	207 ms 22,256 KB
testcase_47	AC	204 ms 21,852 KB
testcase_48	AC	203 ms 21,884 KB
testcase_49	AC	215 ms 21,744 KB
testcase_50	AC	1 ms 4,380 KB
testcase_51	AC	2 ms 4,380 KB
testcase_52	AC	2 ms 4,376 KB
testcase_53	AC	1 ms 4,376 KB
testcase_54	AC	2 ms 4,380 KB
testcase_55	AC	2 ms 4,380 KB
testcase_56	AC	2 ms 4,380 KB
testcase_57	AC	2 ms 4,380 KB

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ソースコード

raw source code

#pragma region kyopro_template
#include <bits/stdc++.h>
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x, v) for (auto &x : v)
#define all(v) (v).begin(), (v).end()
#define sz(v) ((int)(v).size())
#define mem(a, val) memset(a, val, sizeof(a))
#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 inc(...)    \
  char __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 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 die(...)      \
  do {                \
    out(__VA_ARGS__); \
    return;           \
  } while (0)

using namespace std;
using ll = long long;
template <class T>
using V = vector<T>;
using vi = vector<int>;
using vl = vector<long long>;
using vvi = vector<vector<int>>;
using vd = V<double>;
using vs = V<string>;
using vvl = vector<vector<long long>>;
using P = pair<long long, long long>;
using vp = vector<P>;
using pii = pair<int, int>;
using vpi = vector<pair<int, int>>;
constexpr int inf = 1001001001;
constexpr long long infLL = (1LL << 61) - 1;
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, typename U>
T ceil(T a, U b) {
  return (a + b - 1) / b;
}
constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  while (n) {
    if (n & 1) ret *= x;
    x *= x;
    n >>= 1;
  }
  return ret;
}
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;
}
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>
void out(const T &t, const U &... u) {
  cout << t;
  if (sizeof...(u)) cout << " ";
  out(u...);
}

void solve();
#ifdef NyaanDebug
#include "NyaanDebug.h"
#define trc(...)                   \
  do {                             \
    cerr << #__VA_ARGS__ << " = "; \
    dbg_out(__VA_ARGS__);          \
  } while (0)
#define trca(v, N)       \
  do {                   \
    cerr << #v << " = "; \
    array_out(v, N);     \
  } while (0)
#define trcc(v)                             \
  do {                                      \
    cerr << #v << " = {";                   \
    each(x, v) { cerr << " " << x << ","; } \
    cerr << "}" << endl;                    \
  } while (0)
#else
#define trc(...)
#define trca(...)
#define trcc(...)
int main() { solve(); }
#endif

inline int popcnt(unsigned long long a) { return __builtin_popcountll(a); }
inline int lsb(unsigned long long a) { return __builtin_ctzll(a); }
inline int msb(unsigned long long a) { return 63 - __builtin_clzll(a); }
template <typename T>
inline int getbit(T a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void setbit(T &a, int i) {
  a |= (1LL << i);
}
template <typename T>
inline void delbit(T &a, int i) {
  a &= ~(1LL << i);
}
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);
}
template <typename T>
vector<T> mkrui(const vector<T> &v) {
  vector<T> ret(v.size() + 1);
  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 = int>
vector<T> mkiota(int N) {
  vector<T> ret(N);
  iota(begin(ret), end(ret), 0);
  return ret;
}
template <typename T = int>
vector<T> mkinv(vector<T> &v) {
  vector<T> inv(v.size());
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}
struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;
#pragma endregion

constexpr int MOD = /** 998244353;  //*/ 1000000007;

using UnweightedGraph = vector<vector<int>>;
// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
                      bool is_1origin = true) {
  UnweightedGraph g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    if (is_1origin) x--, y--;
    g[x].pb(y);
    if (!is_directed) g[y].pb(x);
  }
  return g;
}

template <uint32_t mod>
struct LazyMontgomeryModInt {
  using mint = LazyMontgomeryModInt;
  using i32 = int32_t;
  using u32 = uint32_t;
  using u64 = uint64_t;

  static constexpr u32 get_r() {
    u32 ret = mod;
    for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
    return -ret;
  }

  static constexpr u32 r = get_r();
  static constexpr u32 n2 = -u64(mod) % mod;
  static_assert(-r * mod == 1, "invalid, r * mod != 1");
  static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
  static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");

  u32 a;

  constexpr LazyMontgomeryModInt() : a(0) {}
  constexpr LazyMontgomeryModInt(const int64_t &b)
      : a(reduce(u64(b % mod + mod) * n2)){};

  static constexpr u32 reduce(const u64 &b) {
    return (b + u64(u32(b) * r) * mod) >> 32;
  }

  constexpr mint &operator+=(const mint &b) {
    if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator-=(const mint &b) {
    if (i32(a -= b.a) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator*=(const mint &b) {
    a = reduce(u64(a) * b.a);
    return *this;
  }

  constexpr mint &operator/=(const mint &b) {
    *this *= b.inverse();
    return *this;
  }

  constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
  constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
  constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
  constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
  constexpr bool operator==(const mint &b) const {
    return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr bool operator!=(const mint &b) const {
    return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr mint operator-() const { return mint() - mint(*this); }

  constexpr u32 get() const {
    u32 ret = reduce(a);
    return ret >= mod ? ret - mod : ret;
  }

  constexpr mint pow(u64 n) const {
    mint ret(1), mul(*this);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const mint &b) {
    return os << b.get();
  }

  friend istream &operator>>(istream &is, mint &b) {
    int64_t t;
    is >> t;
    b = LazyMontgomeryModInt<mod>(t);
    return (is);
  }

  constexpr mint inverse() const { return pow(mod - 2); }

  static constexpr u32 get_mod() { return mod; }
};
using mint = LazyMontgomeryModInt<MOD>;
using vm = vector<mint>;

void solve() {
  // モーメント母関数を使った実装軽めな解法
  ini(N);
  auto g = graph(N);
  vm e = {mint(1), mint(1), mint(2).inverse(), mint(6).inverse()};
  auto mul = [](const vm &a, const vm &b) {
    vm c(sz(a) + sz(b) - 1);
    rep(i, sz(a)) rep(j, sz(b)) c[i + j] += a[i] * b[j];
    return c;
  };
  vi SZ(N, 0);
  mint ans = 0;
  auto dfs = [&](auto rec, int cur, int par = -1) -> vm {
    vm ret = e;
    SZ[cur] = 1;
    each(dst, g[cur]) {
      if (dst == par) continue;
      ret = mul(ret, rec(rec, dst, cur));
      ret.resize(4);
      SZ[cur] += SZ[dst];
    }
    ans += ret[3] * mint(6) * mint(2).pow(max(0, N - SZ[cur] - 1));
    ret[0] += mint(2).pow(SZ[cur] - 1);
    return ret;
  };
  dfs(dfs, 0);
  out(ans);
}

yukicoder

結果

テストケース

ソースコード