結果

問題 No.41 貯金箱の溜息（EASY）
ユーザー not_522not_522
提出日時 2015-08-20 03:33:54
言語 C++11
(gcc 11.4.0)
結果
AC  
実行時間 524 ms / 5,000 ms
コード長 4,911 bytes
コンパイル時間 1,122 ms
コンパイル使用メモリ 165,652 KB
実行使用メモリ 18,560 KB
最終ジャッジ日時 2024-07-18 10:48:01
合計ジャッジ時間 2,347 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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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 72 ms
18,560 KB
testcase_01 AC 524 ms
18,408 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 # 

#include <bits/stdc++.h>

using namespace std;

template<typename Weight, typename Value, bool strict = false> Value unboundedKnapsack(const vector<Weight>& maxWeight, const vector<Weight>& weight, const vector<Value>& value) {
  constexpr Value IMP = numeric_limits<Value>::min() + 1;
  const Weight mx = *max_element(maxWeight.begin(), maxWeight.end());
  vector<Value> dp(mx + Weight(1));
  if (strict) fill(dp.begin() + 1, dp.end(), IMP);
  for (size_t i = 0; i < weight.size(); ++i) {
    for (int w = 0; w <= mx; ++w) {
      if (strict && dp[w] == IMP) continue;
      Weight ww = Weight(w) + weight[i];
      Value vv = dp[w] + value[i];
      if (ww <= mx && dp[ww] < vv) dp[ww] = vv;
    }
  }
  Value res = 0;
  for (const auto& w : maxWeight) {
    if (dp[w] == IMP) return IMP;
    res += dp[w];
  }
  return res;
}

template<typename Weight, typename Value, bool strict = false> Value unboundedKnapsack(Weight maxWeight, const vector<Weight>& weight, const vector<Value>& value) {
  return unboundedKnapsack({maxWeight}, weight, value);
}

template<typename Weight, typename Value = long long> vector<Value> unboundedKnapsackCount(Weight maxWeight, const vector<Weight>& weight) {
  vector<Value> dp(maxWeight + Weight(1));
  dp[0] = 1;
  for (auto& w : weight) {
    for (int i = 0; i <= maxWeight; ++i) {
      Weight ww = Weight(i) + w;
      if (ww <= maxWeight) dp[ww] += dp[i];
    }
  }
  return dp;
}

template<typename Weight> vector<bool> unboundedKnapsackFill(Weight maxWeight, const vector<Weight>& weight) {
  vector<bool> dp(maxWeight + Weight(1));
  dp[0] = true;
  for (auto& w : weight) {
    for (int i = 0; i <= maxWeight; ++i) {
      Weight ww = Weight(i) + w;
      if (ww <= maxWeight && dp[i]) dp[ww] = true;
    }
  }
  return dp;
}

namespace arithmetic {
  template<typename T> class Addition {
  public:
    template<typename V> T operator+(const V& v) const {
      return T(static_cast<const T&>(*this)) += v;
    }
  };

  template<typename T> class Subtraction {
  public:
    template<typename V> T operator-(const V& v) const {
      return T(static_cast<const T&>(*this)) -= v;
    }
  };

  template<typename T> class Multiplication {
  public:
    template<typename V> T operator*(const V& v) const {
      return T(static_cast<const T&>(*this)) *= v;
    }
  };

  template<typename T> class Division {
  public:
    template<typename V> T operator/(const V& v) const {
      return T(static_cast<const T&>(*this)) /= v;
    }
  };

  template<typename T> class Modulus {
  public:
    template<typename V> T operator%(const V& v) const {
      return T(static_cast<const T&>(*this)) %= v;
    }
  };
}

template<typename T> class IndivisibleArithmetic : public arithmetic::Addition<T>, public arithmetic::Subtraction<T>, public arithmetic::Multiplication<T> {};

template<typename T> class Arithmetic : public IndivisibleArithmetic<T>, public arithmetic::Division<T> {};

class Inverse {
private:
  long long mod;
	vector<long long> inv;
  
public:
  Inverse() {}
  
	Inverse(long long mod, long long n = 1000000) : mod(mod) {
    inv = vector<long long>(n, 1);
    for (int i = 2; i < n; ++i) inv[i] = inv[mod % i] * (mod - mod / i) % mod;
  }
  
	long long operator()(long long a) const {
		if (a < (int)inv.size()) return inv[a];
		long long b = mod, x = 1, y = 0;
		while (b) {
			long long t = a / b;
			swap(a -= t * b, b);
			swap(x -= t * y, y);
		}
		return (x %= mod) < 0 ? x + mod : x;
	}
};

class Mint : public Arithmetic<Mint> {
private:
  static long long mod;
  static Inverse inverse;
  long long val;

public:
	Mint() : val(0) {}

	Mint(const long long& val) {
    this->val = val % mod;
    if (this->val < 0) this->val += mod;
  }

  static void setMod(const long long& m) {
    mod = m;
    inverse = Inverse(m);
  }

	Mint operator+=(const Mint& m) {
		val += m.val;
		if (val >= mod) val -= mod;
		return *this;
	}

	Mint operator-=(const Mint& m) {
		val -= m.val;
		if (val < 0) val += mod;
		return *this;
	}

	Mint operator*=(const Mint& m) {
		val *= m.val;
		val %= mod;
		return *this;
	}

	Mint operator/=(const Mint& m) {
		val *= inverse(m.val);
		val %= mod;
		return *this;
	}

	Mint operator++() {return val += 1;}

	Mint operator--() {return val -= 1;}

	operator long long() {
		return val;
	}

  Mint identity() const {
    return 1;
  }
};

long long Mint::mod = 1000000007;
Inverse Mint::inverse(1000000007);

ostream& operator<<(ostream& os, Mint a) {
	os << (long long)a;
	return os;
}

istream& operator>>(istream& is, Mint& a) {
	long long n;
	is >> n;
	a = n;
	return is;
}

int main() {
  Mint::setMod(1000000009);
  vector<int> w(9);
  iota(w.begin(), w.end(), 1);
  auto v = unboundedKnapsackCount<int, Mint>(100000, w);
  int t;
  cin >> t;
  for (int i = 0; i < t; ++i) {
    long long m;
    cin >> m;
    Mint res = 0;
    for (int j = 0; j <= m / 111111; ++j) res += v[j];
    cout << res << endl;
  }
}
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