結果

問題 No.1227 I hate ThREE
ユーザー KoDKoD
提出日時 2020-09-12 00:25:29
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 42 ms / 2,000 ms
コード長 7,677 bytes
コンパイル時間 890 ms
コンパイル使用メモリ 86,820 KB
実行使用メモリ 26,536 KB
最終ジャッジ日時 2023-08-30 14:52:06
合計ジャッジ時間 3,073 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge13
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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
4,380 KB
testcase_03 AC 3 ms
4,376 KB
testcase_04 AC 3 ms
4,376 KB
testcase_05 AC 5 ms
4,720 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 1 ms
4,380 KB
testcase_08 AC 6 ms
5,896 KB
testcase_09 AC 5 ms
5,256 KB
testcase_10 AC 4 ms
4,516 KB
testcase_11 AC 38 ms
24,380 KB
testcase_12 AC 42 ms
26,476 KB
testcase_13 AC 2 ms
4,376 KB
testcase_14 AC 5 ms
5,152 KB
testcase_15 AC 8 ms
6,400 KB
testcase_16 AC 16 ms
11,684 KB
testcase_17 AC 10 ms
8,020 KB
testcase_18 AC 23 ms
15,388 KB
testcase_19 AC 18 ms
12,548 KB
testcase_20 AC 25 ms
16,924 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 19 ms
13,084 KB
testcase_23 AC 40 ms
25,776 KB
testcase_24 AC 42 ms
26,536 KB
testcase_25 AC 41 ms
26,504 KB
testcase_26 AC 38 ms
24,492 KB
testcase_27 AC 40 ms
25,752 KB
testcase_28 AC 41 ms
26,272 KB
testcase_29 AC 41 ms
26,312 KB
testcase_30 AC 38 ms
24,880 KB
testcase_31 AC 39 ms
24,992 KB
testcase_32 AC 41 ms
26,276 KB
testcase_33 AC 39 ms
24,640 KB
testcase_34 AC 40 ms
25,548 KB
testcase_35 AC 38 ms
24,360 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp"

template <class T, class U>
constexpr bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) { lhs = rhs; return true; }
  return false;
}

template <class T, class U>
constexpr bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) { lhs = rhs; return true; }
  return false;
}

/**
 * @title Chmin/Chmax
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

class range {
public:
  class iterator {
  private:
    int64_t M_position;

  public:
    constexpr iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { ++M_position; }
    constexpr bool operator != (iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };

  class reverse_iterator {
  private:
    int64_t M_position;
  
  public:
    constexpr reverse_iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { --M_position; }
    constexpr bool operator != (reverse_iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };
  
private:
  const iterator M_first, M_last;

public:
  constexpr range(int64_t first, int64_t last) noexcept: M_first(first), M_last(std::max(first, last)) { }
  constexpr iterator begin() const noexcept { return M_first; }
  constexpr iterator end() const noexcept { return M_last; }
  constexpr reverse_iterator rbegin() const noexcept { return reverse_iterator(*M_last - 1); } 
  constexpr reverse_iterator rend() const noexcept { return reverse_iterator(*M_first - 1); } 
};

/**
 * @title Range
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

#include <type_traits>
#include <iterator>
#line 6 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

template <class T>
class rev_impl {
public:
  using iterator = decltype(std::rbegin(std::declval<T>()));

private:
  const iterator M_begin;
  const iterator M_end;

public:
  constexpr rev_impl(T &&cont) noexcept: M_begin(std::rbegin(cont)), M_end(std::rend(cont)) { }
  constexpr iterator begin() const noexcept { return M_begin; }
  constexpr iterator end() const noexcept { return M_end; }
};

template <class T>
constexpr decltype(auto) rev(T &&cont) {
  return rev_impl<T>(std::forward<T>(cont));
}

/**
 * @title Reverser
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

#include <cstdint>
#line 5 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

template <class Modulus>
class modular {
public:
  using value_type = uint32_t;
  using cover_type = uint64_t;
  static constexpr value_type mod() { return Modulus::value(); }

  template <class T>
  static constexpr value_type normalize(T value_) noexcept {
    if (value_ < 0) {
      value_ = -value_;
      value_ %= mod();
      if (value_ == 0) return 0;
      return mod() - value_;
    }
    return value_ % mod();
  }

private:
  value_type value;

public:
  constexpr modular() noexcept : value(0) { }
  template <class T>
  explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { }
  template <class T>
  explicit constexpr operator T() const noexcept { return static_cast<T>(value); }

  constexpr value_type get() const noexcept { return value; }
  constexpr value_type &extract() noexcept { return value; }
  constexpr modular operator - () const noexcept { return modular(mod() - value); }
  constexpr modular operator ~ () const noexcept { return inverse(*this); }

  constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; }
  constexpr modular& operator += (const modular &rhs) noexcept { 
    if ((value += rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }

  constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; }
  constexpr modular& operator -= (const modular &rhs) noexcept { 
    if ((value += mod() - rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }

  constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; }
  constexpr modular& operator *= (const modular &rhs) noexcept { 
    value = (cover_type) value * rhs.value % mod();
    return *this;
  }

  constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; }
  constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= inverse(rhs); }

  constexpr bool zero() const noexcept { return value == 0; }
  constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; }
  constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; }

  friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; }
  friend constexpr modular inverse(modular val) noexcept { return power(val, mod() - 2); }
  friend constexpr modular power(modular val, cover_type exp) noexcept { 
    modular res(1);
    for (; exp > 0; exp >>= 1, val *= val) if (exp & 1) res *= val;
    return res;
  }

};

template <uint32_t Val>
struct modulus_impl { static constexpr uint32_t value() noexcept { return Val; } };
template <uint32_t Val>
using mint32_t = modular<modulus_impl<Val>>;

struct runtime_mod { static uint32_t &value() noexcept { static uint32_t val = 0; return val; } };
using rmint32_t = modular<runtime_mod>;

/**
 * @title Modint
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/fix_point.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/fix_point.cpp"

template <class Func>
struct fix_point_impl: private Func {
  explicit constexpr fix_point_impl(Func &&func): Func(std::forward<Func>(func)) { }
  template <class... Args>
  constexpr decltype(auto) operator () (Args &&... args) const {
    return Func::operator()(*this, std::forward<Args>(args)...);
  }
};

template <class Func>
constexpr decltype(auto) fix_point(Func &&func) {
  return fix_point_impl<Func>(std::forward<Func>(func));
}

/**
 * @title Lambda Recursion
 */
#line 19 "main.cpp"

using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;

constexpr i32 inf32 = (i32(1) << 30) - 1;
constexpr i64 inf64 = (i64(1) << 62) - 1;

using m32 = mint32_t<1000000007>;

int main() {
  i32 N, C;
  std::cin >> N >> C;
  std::vector<std::vector<i32>> graph(N);
  for (auto i: range(1, N)) {
    i32 u, v;
    std::cin >> u >> v;
    --u; --v;
    graph[u].push_back(v);
    graph[v].push_back(u);
  }
  const auto K = std::min(6 * N, C);
  std::vector<std::vector<m32>> dp(N, std::vector<m32>(K, m32(1)));
  fix_point([&](auto dfs, const i32 u, const i32 p) -> void {
    for (const auto v: graph[u]) {
      if (v != p) {
        dfs(v, u);
        for (auto j: range(0, K)) {
          m32 coeff;
          if (j - 3 >= 0) {
            coeff += dp[v][j - 3];
          }
          if (j + 3 < K) {
            coeff += dp[v][j + 3];
          }
          dp[u][j] *= coeff;
        }
      }
    }
  })(0, -1);
  const auto ans = std::accumulate(dp[0].begin(), dp[0].end(), m32());
  const auto add = m32(C - K) * power(m32(2), N - 1);
  std::cout << ans + add << '\n';
  return 0;
}
0