結果

問題 No.1036 Make One With GCD 2
ユーザー rsk0315rsk0315
提出日時 2020-04-25 20:22:47
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 6,061 bytes
コンパイル時間 622 ms
コンパイル使用メモリ 65,588 KB
実行使用メモリ 87,296 KB
最終ジャッジ日時 2024-04-25 08:26:01
合計ジャッジ時間 23,838 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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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 TLE -
testcase_01 AC 463 ms
81,408 KB
testcase_02 AC 235 ms
81,536 KB
testcase_03 AC 144 ms
30,720 KB
testcase_04 AC 259 ms
54,272 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 184 ms
35,072 KB
testcase_08 AC 145 ms
29,312 KB
testcase_09 AC 697 ms
79,744 KB
testcase_10 AC 662 ms
74,240 KB
testcase_11 AC 734 ms
81,152 KB
testcase_12 AC 671 ms
75,008 KB
testcase_13 AC 910 ms
77,824 KB
testcase_14 AC 904 ms
78,592 KB
testcase_15 AC 858 ms
73,856 KB
testcase_16 AC 878 ms
74,496 KB
testcase_17 AC 908 ms
76,800 KB
testcase_18 AC 3 ms
5,376 KB
testcase_19 AC 3 ms
5,376 KB
testcase_20 AC 4 ms
5,376 KB
testcase_21 AC 4 ms
5,376 KB
testcase_22 AC 842 ms
72,832 KB
testcase_23 AC 617 ms
54,528 KB
testcase_24 AC 899 ms
76,032 KB
testcase_25 AC 817 ms
69,504 KB
testcase_26 AC 860 ms
71,936 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 1 ms
5,376 KB
testcase_30 AC 1 ms
5,376 KB
testcase_31 AC 2 ms
5,376 KB
testcase_32 AC 1 ms
5,376 KB
testcase_33 AC 2 ms
5,376 KB
testcase_34 AC 2 ms
5,376 KB
testcase_35 AC 2 ms
5,376 KB
testcase_36 AC 2 ms
5,376 KB
testcase_37 AC 1 ms
5,376 KB
testcase_38 AC 230 ms
81,408 KB
testcase_39 TLE -
testcase_40 -- -
testcase_41 -- -
testcase_42 -- -
testcase_43 -- -
testcase_44 -- -
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ソースコード

diff # 

#line 1 "test/yc_1036_bisect.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1036"

#include <cstdint>
#include <cstdio>
#include <algorithm>
#include <vector>

#line 1 "DataStructure/disjoint_sparse_table.cpp"



/**
 * @brief disjoint sparse table
 * @author えびちゃん
 */

#line 1 "integer/bit.cpp"



/** 
 * @brief ビット演算
 * @author えびちゃん
 */

// XXX integral promotion 関連の注意をあまりしていません

#include <climits>
#include <type_traits>

template <typename Tp>
constexpr auto countl_zero(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{
  using value_type = typename std::make_unsigned<Tp>::type;
  int bits = (sizeof(value_type) * CHAR_BIT);
  if (n == 0) return bits;
  int res = 0;
  for (int i = bits / 2; i > 0; i /= 2) {
    value_type mask = ((static_cast<value_type>(1) << i) - 1) << i;
    if (n & mask) n >>= i;
    else res += i;
  }
  return res;
}
template <typename Tp>
constexpr auto countl_one(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{
  using value_type = typename std::make_unsigned<Tp>::type;
  return countl_zero(static_cast<value_type>(~n));
}

template <typename Tp>
constexpr auto countr_zero(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{
  using value_type = typename std::make_unsigned<Tp>::type;
  int bits = (sizeof(value_type) * CHAR_BIT);
  if (n == 0) return bits;
  int res = 0;
  for (int i = bits / 2; i > 0; i /= 2) {
    value_type mask = ((static_cast<value_type>(1) << i) - 1);
    if (!(n & mask)) res += i, n >>= i;
  }
  return res;
}
template <typename Tp>
constexpr auto countr_one(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{
  using value_type = typename std::make_unsigned<Tp>::type;
  return countr_zero(static_cast<value_type>(~n));
}

constexpr unsigned long long half_mask[] = {
  0x5555555555555555uLL, 0x3333333333333333uLL, 0x0F0F0F0F0F0F0F0FuLL,
  0x00FF00FF00FF00FFuLL, 0x0000FFFF0000FFFFuLL, 0x00000000FFFFFFFFuLL
};

template <typename Tp>
constexpr auto popcount(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{
  int bits = static_cast<int>((sizeof n) * CHAR_BIT);
  for (int i = 0, j = 1; j < bits; ++i, j *= 2) {
    if (j <= 8) n = (n & half_mask[i]) + ((n >> j) & half_mask[i]);
    else n += n >> j;
  }
  return n & 0xFF;
}

template <typename Tp>
constexpr auto parity(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, int>::type
{ return popcount(n) & 1; }


template <typename Tp>
int clz(Tp n) { return countl_zero(static_cast<typename std::make_unsigned<Tp>::type>(n)); }
template <typename Tp>
int ctz(Tp n) { return countr_zero(static_cast<typename std::make_unsigned<Tp>::type>(n)); }

template <typename Tp>
int ilog2(Tp n) {
  return (CHAR_BIT * sizeof(Tp) - 1) - clz(static_cast<typename std::make_unsigned<Tp>::type>(n));
}
template <typename Tp>
bool is_pow2(Tp n) { return (n > 0) && ((n & (n-1)) == 0); }
template <typename Tp>
Tp floor2(Tp n) { return is_pow2(n)? n: static_cast<Tp>(1) << ilog2(n); }
template <typename Tp>
Tp ceil2(Tp n) { return is_pow2(n)? n: static_cast<Tp>(2) << ilog2(n); }

template <typename Tp>
constexpr auto reverse(Tp n)
  -> typename std::enable_if<std::is_unsigned<Tp>::value, Tp>::type
{
  int bits = static_cast<int>((sizeof n) * CHAR_BIT);
  for (int i = 0, j = 1; j < bits; ++i, j *= 2) {
    n = ((n & half_mask[i]) << j) | ((n >> j) & half_mask[i]);
  }
  return n;
}


#line 10 "DataStructure/disjoint_sparse_table.cpp"

template <typename Monoid>
class disjoint_sparse_table {
public:
  using size_type = size_t;
  using value_type = Monoid;

private:
  std::vector<std::vector<value_type>> M_c;

public:
  disjoint_sparse_table() = default;

  template <typename InputIt>
  disjoint_sparse_table(InputIt first, InputIt last) { assign(first, last); }
  disjoint_sparse_table(std::initializer_list<value_type> il) {
    assign(il.begin(), il.end());
  }

  template <typename InputIt>
  void assign(InputIt first, InputIt last) {
    M_c.resize(1);
    M_c[0].assign(first, last);
    size_type n = M_c[0].size();

    for (size_type i = n-1, s = 2; i > 1; i >>= 1, s <<= 1) {
      std::vector<value_type> tmp = M_c[0];
      for (size_type j = 0; j+s < n; j += s+s) {
        for (size_type k = 1; k < s; ++k)
          tmp[j+s-k-1] += tmp[j+s-k];
        for (size_type k = 1; k < s && j+s+k < n; ++k)
          tmp[j+s+k] += tmp[j+s+k-1];
      }
      M_c.push_back(std::move(tmp));
    }
  }

  value_type fold(size_type l, size_type r) const {
    if (l == r) return value_type{};
    size_type i = (l ^ --r);
    if (i == 0) return M_c[0][l];
    size_type j = ilog2(i);
    return M_c[j][l] + M_c[j][r];
  }
};


#line 9 "test/yc_1036_bisect.test.cpp"

template <typename Tp>
class gcd_monoid {
public:
  using value_type = Tp;

private:
  value_type M_x = 0;

  static value_type S_gcd(value_type x, value_type y) {
    while (y) std::swap(x %= y, y);
    return x;
  }

public:
  gcd_monoid() = default;  // identity

  gcd_monoid(value_type const& x): M_x(x) {}

  gcd_monoid& operator +=(gcd_monoid const& that) {
    M_x = S_gcd(M_x, that.M_x);
    return *this;
  }
  friend bool operator ==(gcd_monoid const& lhs, gcd_monoid const& rhs) {
    return lhs.M_x == rhs.M_x;
  }

  friend gcd_monoid operator +(gcd_monoid lhs, gcd_monoid const& rhs) { return lhs += rhs; }
  friend bool operator !=(gcd_monoid const& lhs, gcd_monoid const& rhs) {
    return !(lhs == rhs);
  }

  value_type const& get() const { return M_x; }
};

int main() {
  size_t n;
  scanf("%zu", &n);

  std::vector<intmax_t> a(n);
  for (auto& ai: a) scanf("%jd", &ai);

  disjoint_sparse_table<gcd_monoid<intmax_t>> st(a.begin(), a.end());

  intmax_t res = 0;
  for (size_t i = 0; i < n; ++i) {
    if (st.fold(i, n).get() > 1) break;
    size_t lb = i, ub = n;
    while (ub-lb > 1) {
      size_t mid = (lb+ub) / 2;
      ((st.fold(i, mid).get() > 1)? lb: ub) = mid;
    }
    res += n-lb;
  }

  printf("%jd\n", res);
}
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