結果
問題 | No.941 商とあまり |
ユーザー | Pachicobue |
提出日時 | 2019-12-04 20:51:41 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 19,450 bytes |
コンパイル時間 | 2,711 ms |
コンパイル使用メモリ | 228,384 KB |
実行使用メモリ | 78,264 KB |
最終ジャッジ日時 | 2024-05-08 07:34:45 |
合計ジャッジ時間 | 19,709 ms |
ジャッジサーバーID (参考情報) |
judge5 / 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 | AC | 246 ms
78,264 KB |
testcase_01 | AC | 3 ms
5,248 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 3 ms
5,376 KB |
testcase_04 | AC | 3 ms
5,376 KB |
testcase_05 | AC | 3 ms
5,376 KB |
testcase_06 | AC | 3 ms
5,376 KB |
testcase_07 | AC | 1,965 ms
72,860 KB |
testcase_08 | AC | 1,308 ms
72,760 KB |
testcase_09 | AC | 391 ms
72,840 KB |
testcase_10 | AC | 1,878 ms
73,016 KB |
testcase_11 | AC | 256 ms
72,760 KB |
testcase_12 | AC | 29 ms
5,376 KB |
testcase_13 | AC | 27 ms
5,376 KB |
testcase_14 | AC | 26 ms
5,376 KB |
testcase_15 | AC | 243 ms
72,756 KB |
testcase_16 | AC | 261 ms
72,704 KB |
testcase_17 | AC | 26 ms
5,376 KB |
testcase_18 | AC | 24 ms
5,376 KB |
testcase_19 | AC | 25 ms
5,376 KB |
testcase_20 | AC | 2 ms
5,376 KB |
testcase_21 | AC | 3 ms
5,376 KB |
testcase_22 | AC | 2 ms
5,376 KB |
testcase_23 | AC | 2 ms
5,376 KB |
testcase_24 | AC | 2 ms
5,376 KB |
testcase_25 | AC | 2 ms
5,376 KB |
testcase_26 | AC | 243 ms
72,756 KB |
testcase_27 | AC | 242 ms
72,756 KB |
testcase_28 | AC | 28 ms
5,376 KB |
testcase_29 | AC | 242 ms
72,756 KB |
testcase_30 | AC | 245 ms
72,788 KB |
testcase_31 | AC | 28 ms
5,376 KB |
testcase_32 | AC | 33 ms
5,376 KB |
testcase_33 | AC | 3 ms
5,376 KB |
testcase_34 | AC | 23 ms
5,376 KB |
testcase_35 | AC | 23 ms
5,376 KB |
testcase_36 | AC | 27 ms
5,376 KB |
testcase_37 | AC | 258 ms
72,660 KB |
testcase_38 | TLE | - |
testcase_39 | AC | 24 ms
5,376 KB |
testcase_40 | AC | 3 ms
5,376 KB |
testcase_41 | AC | 3 ms
5,376 KB |
testcase_42 | AC | 3 ms
5,376 KB |
testcase_43 | AC | 25 ms
5,376 KB |
testcase_44 | TLE | - |
testcase_45 | -- | - |
testcase_46 | -- | - |
testcase_47 | -- | - |
testcase_48 | -- | - |
testcase_49 | -- | - |
testcase_50 | -- | - |
testcase_51 | -- | - |
testcase_52 | -- | - |
testcase_53 | -- | - |
testcase_54 | -- | - |
testcase_55 | -- | - |
testcase_56 | -- | - |
testcase_57 | -- | - |
testcase_58 | -- | - |
testcase_59 | -- | - |
testcase_60 | -- | - |
testcase_61 | -- | - |
testcase_62 | -- | - |
testcase_63 | -- | - |
testcase_64 | -- | - |
testcase_65 | -- | - |
testcase_66 | -- | - |
testcase_67 | -- | - |
testcase_68 | -- | - |
testcase_69 | -- | - |
testcase_70 | -- | - |
testcase_71 | -- | - |
testcase_72 | -- | - |
testcase_73 | -- | - |
testcase_74 | -- | - |
testcase_75 | -- | - |
testcase_76 | -- | - |
testcase_77 | -- | - |
testcase_78 | -- | - |
testcase_79 | -- | - |
testcase_80 | -- | - |
testcase_81 | -- | - |
testcase_82 | -- | - |
testcase_83 | -- | - |
testcase_84 | -- | - |
testcase_85 | -- | - |
testcase_86 | -- | - |
testcase_87 | -- | - |
testcase_88 | -- | - |
testcase_89 | -- | - |
testcase_90 | -- | - |
testcase_91 | -- | - |
testcase_92 | -- | - |
testcase_93 | -- | - |
testcase_94 | -- | - |
testcase_95 | -- | - |
testcase_96 | -- | - |
testcase_97 | -- | - |
testcase_98 | -- | - |
testcase_99 | -- | - |
testcase_100 | -- | - |
testcase_101 | -- | - |
testcase_102 | -- | - |
testcase_103 | -- | - |
testcase_104 | -- | - |
testcase_105 | -- | - |
testcase_106 | -- | - |
testcase_107 | -- | - |
testcase_108 | -- | - |
testcase_109 | -- | - |
ソースコード
#include <bits/stdc++.h> // created [2019/12/03] 23:59:35 #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using uint = unsigned int; using usize = std::size_t; using ll = long long; using ull = unsigned long long; using ld = long double; template<typename T> constexpr T popcount(const T u) { return u ? static_cast<T>(__builtin_popcountll(static_cast<u64>(u))) : static_cast<T>(0); } template<typename T> constexpr T log2p1(const T u) { return u ? static_cast<T>(64 - __builtin_clzll(static_cast<u64>(u))) : static_cast<T>(0); } template<typename T> constexpr T msbp1(const T u) { return log2p1(u); } template<typename T> constexpr T lsbp1(const T u) { return __builtin_ffsll(u); } template<typename T> constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast<T>(u); } template<typename T> constexpr bool ispow2(const T u) { return u and (static_cast<u64>(u) & static_cast<u64>(u - 1)) == 0; } template<typename T> constexpr T ceil2(const T u) { return static_cast<T>(1) << clog(u); } template<typename T> constexpr T floor2(const T u) { return u == 0 ? static_cast<T>(0) : static_cast<T>(1) << (log2p1(u) - 1); } template<typename T> constexpr bool btest(const T mask, const usize ind) { return static_cast<bool>((static_cast<u64>(mask) >> ind) & static_cast<u64>(1)); } template<typename T> void bset(T& mask, const usize ind) { mask |= (static_cast<T>(1) << ind); } template<typename T> void breset(T& mask, const usize ind) { mask &= ~(static_cast<T>(1) << ind); } template<typename T> void bflip(T& mask, const usize ind) { mask ^= (static_cast<T>(1) << ind); } template<typename T> void bset(T& mask, const usize ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); } template<typename T> constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast<T>(0) : static_cast<T>((static_cast<u64>(mask) << (64 - ind)) >> (64 - ind)); } template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); } template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); } constexpr unsigned int mod = 1000000007; template<typename T> constexpr T inf_v = std::numeric_limits<T>::max() / 4; template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884}; template<typename T> T read() { T v; return std::cin >> v, v; } template<typename T, typename... Args> auto read(const usize size, Args... args) { std::vector<decltype(read<T>(args...))> ans(size); for (usize i = 0; i < size; i++) { ans[i] = read<T>(args...); } return ans; } template<typename... Types> auto reads() { return std::tuple<std::decay_t<Types>...>{read<Types>()...}; } # define SHOW(...) static_cast<void>(0) constexpr ull TEN(const usize n) { return n == 0 ? 1ULL : TEN(n - 1) * 10ULL; } template<typename T> std::vector<T> make_v(const usize size, const T v) { return std::vector<T>(size, v); } template<typename... Args> auto make_v(const usize size, Args... args) { return std::vector<decltype(make_v(args...))>(size, make_v(args...)); } template<typename T> T gcd(const T& a, const T& b) { return a < 0 ? gcd(-a, b) : b < 0 ? gcd(a, -b) : (a > b ? gcd(b, a) : a == 0 ? b : gcd(b % a, a)); } template<typename T> T lcm(const T& a, const T& b) { return a / gcd(a, b) * b; } template<typename T> constexpr std::pair<T, T> extgcd(const T a, const T b) { if (b == 0) { return std::pair<T, T>{1, 0}; } const auto g = gcd(a, b), da = std::abs(b) / g; const auto p = extgcd(b, a % b); const auto x = (da + p.second % da) % da, y = (g - a * x) / b; return {x, y}; } template<typename T> constexpr T inverse(const T a, const T mod) { return extgcd(a, mod).first; } template<uint mod_value, bool dynamic = false> class modint_base { public: template<typename UInt = uint> static std::enable_if_t<dynamic, const UInt> mod() { return mod_ref(); } template<typename UInt = uint> static constexpr std::enable_if_t<not dynamic, const UInt> mod() { return mod_value; } template<typename UInt = uint> static void set_mod(const std::enable_if_t<dynamic, const UInt> mod) { mod_ref() = mod, inv_ref() = {1, 1}; } modint_base() : v{0} {} modint_base(const ll val) : v{norm(static_cast<uint>(val % static_cast<ll>(mod()) + static_cast<ll>(mod())))} {} modint_base(const modint_base& n) : v{n()} {} explicit operator bool() const { return v != 0; } bool operator!() const { return not static_cast<bool>(*this); } modint_base& operator=(const modint_base& m) { return v = m(), (*this); } modint_base& operator=(const ll val) { return v = norm(uint(val % static_cast<ll>(mod()) + static_cast<ll>(mod()))), (*this); } friend modint_base operator+(const modint_base& m) { return m; } friend modint_base operator-(const modint_base& m) { return make(norm(mod() - m.v)); } friend modint_base operator+(const modint_base& m1, const modint_base& m2) { return make(norm(m1.v + m2.v)); } friend modint_base operator-(const modint_base& m1, const modint_base& m2) { return make(norm(m1.v + mod() - m2.v)); } friend modint_base operator*(const modint_base& m1, const modint_base& m2) { return make(static_cast<uint>(static_cast<ll>(m1.v) * static_cast<ll>(m2.v) % static_cast<ll>(mod()))); } friend modint_base operator/(const modint_base& m1, const modint_base& m2) { return m1 * inv(m2.v); } friend modint_base operator+(const modint_base& m, const ll val) { return modint_base{static_cast<ll>(m.v) + val}; } friend modint_base operator-(const modint_base& m, const ll val) { return modint_base{static_cast<ll>(m.v) - val}; } friend modint_base operator*(const modint_base& m, const ll val) { return modint_base{static_cast<ll>(m.v) * (val % static_cast<ll>(mod()))}; } friend modint_base operator/(const modint_base& m, const ll val) { return modint_base{static_cast<ll>(m.v) * inv(val)}; } friend modint_base operator+(const ll val, const modint_base& m) { return modint_base{static_cast<ll>(m.v) + val}; } friend modint_base operator-(const ll val, const modint_base& m) { return modint_base{-static_cast<ll>(m.v) + val}; } friend modint_base operator*(const ll val, const modint_base& m) { return modint_base{static_cast<ll>(m.v) * (val % static_cast<ll>(mod()))}; } friend modint_base operator/(const ll val, const modint_base& m) { return modint_base{val * inv(static_cast<ll>(m.v))}; } friend modint_base& operator+=(modint_base& m1, const modint_base& m2) { return m1 = m1 + m2; } friend modint_base& operator-=(modint_base& m1, const modint_base& m2) { return m1 = m1 - m2; } friend modint_base& operator*=(modint_base& m1, const modint_base& m2) { return m1 = m1 * m2; } friend modint_base& operator/=(modint_base& m1, const modint_base& m2) { return m1 = m1 / m2; } friend modint_base& operator+=(modint_base& m, const ll val) { return m = m + val; } friend modint_base& operator-=(modint_base& m, const ll val) { return m = m - val; } friend modint_base& operator*=(modint_base& m, const ll val) { return m = m * val; } friend modint_base& operator/=(modint_base& m, const ll val) { return m = m / val; } friend modint_base operator^(const modint_base& m, const ll n) { return power(m.v, n); } friend modint_base& operator^=(modint_base& m, const ll n) { return m = m ^ n; } friend bool operator==(const modint_base& m1, const modint_base& m2) { return m1.v == m2.v; } friend bool operator!=(const modint_base& m1, const modint_base& m2) { return not(m1 == m2); } friend bool operator==(const modint_base& m, const ll val) { return m.v == norm(static_cast<uint>(static_cast<ll>(mod()) + val % static_cast<ll>(mod()))); } friend bool operator!=(const modint_base& m, const ll val) { return not(m == val); } friend bool operator==(const ll val, const modint_base& m) { return m.v == norm(static_cast<uint>(static_cast<ll>(mod()) + val % static_cast<ll>(mod()))); } friend bool operator!=(const ll val, const modint_base& m) { return not(m == val); } friend std::istream& operator>>(std::istream& is, modint_base& m) { ll v; return is >> v, m = v, is; } friend std::ostream& operator<<(std::ostream& os, const modint_base& m) { return os << m(); } uint operator()() const { return v; } static modint_base small_inv(const usize n) { auto& in = inv_ref(); if (n < in.size()) { return in[n]; } for (usize i = in.size(); i <= n; i++) { in.push_back(-in[modint_base::mod() % i] * (modint_base::mod() / i)); } return in.back(); } private: template<typename UInt = uint> static std::enable_if_t<dynamic, UInt&> mod_ref() { static UInt mod = 0; return mod; } static uint norm(const uint x) { return x < mod() ? x : x - mod(); } static modint_base make(const uint x) { modint_base m; return m.v = x, m; } static modint_base power(modint_base x, ull n) { modint_base ans = 1; for (; n; n >>= 1, x *= x) { if (n & 1) { ans *= x; } } return ans; } static modint_base inv(const ll v) { return v < 10000000 ? small_inv(static_cast<usize>(v)) : modint_base{inverse(v, static_cast<ll>(mod()))}; } // static modint_base inv(const ll v) { return modint_base{inverse(v, static_cast<ll>(mod()))}; } static std::vector<modint_base>& inv_ref() { static std::vector<modint_base> in{1, 1}; return in; } uint v; }; template<uint mod> using modint = modint_base<mod, false>; template<uint id> using dynamic_modint = modint_base<id, true>; /** * http://xoshiro.di.unimi.it/xoshiro128starstar.c * http://xoshiro.di.unimi.it/xoshiro256starstar.c * http://xoshiro.di.unimi.it/splitmix64.c */ class xoshiro { public: using result_type = uint32_t; static constexpr result_type min() { return std::numeric_limits<result_type>::min(); } static constexpr result_type max() { return std::numeric_limits<result_type>::max(); } xoshiro() : xoshiro(std::random_device{}()) {} xoshiro(uint64_t seed) { uint64_t z = 0; for (int i = 0; i < 4; i++) { z = (seed += 0x9e3779b97f4a7c15), z = (z ^ (z >> 33)) * 0x62A9D9ED799705F5, z = (z ^ (z >> 28)) * 0xCB24D0A5C88C35B3, s[i] = static_cast<result_type>(z >> 32); } } result_type operator()() { const result_type result = rotl(s[1] * 5, 7) * 9, t = s[1] << 9; return s[2] ^= s[0], s[3] ^= s[1], s[1] ^= s[2], s[0] ^= s[3], s[2] ^= t, s[3] = rotl(s[3], 11), result; } void discard(const usize rep) { for (usize i = 0; i < rep; i++) { (*this)(); } } private: result_type s[4]; static result_type rotl(const result_type x, const int k) { return (x << k) | (x >> (32 - k)); } }; class xoshiro_64 { public: using result_type = uint64_t; static constexpr result_type min() { return std::numeric_limits<result_type>::min(); } static constexpr result_type max() { return std::numeric_limits<result_type>::max(); } xoshiro_64() : xoshiro_64(std::random_device{}()) {} xoshiro_64(uint64_t seed) { uint64_t z = 0; for (int i = 0; i < 4; i++) { z = (seed += 0x9e3779b97f4a7c15), z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9, z = (z ^ (z >> 27)) * 0x94d049bb133111eb, s[i] = static_cast<result_type>(z ^ (z >> 31)); } } result_type operator()() { const result_type result = rotl(s[1] * 5, 7) * 9, t = s[1] << 17; return s[2] ^= s[0], s[3] ^= s[1], s[1] ^= s[2], s[0] ^= s[3], s[2] ^= t, s[3] = rotl(s[3], 45), result; } void discard(const usize rep) { for (usize i = 0; i < rep; i++) { (*this)(); } } private: result_type s[4]; static result_type rotl(const result_type x, const int k) { return (x << k) | (x >> (64 - k)); } }; template<typename Rng> class rng_base { public: using rng_type = Rng; using result_type = typename rng_type::result_type; static constexpr result_type min() { return rng_type::min(); } static constexpr result_type max() { return rng_type::max(); } rng_base() : rng_base(std::random_device{}()) {} rng_base(const u64 seed) : rng(seed) {} ~rng_base() = default; result_type operator()(const result_type max = std::numeric_limits<result_type>::max()) { if (max == std::numeric_limits<result_type>::max()) { return static_cast<result_type>(rng()); } if (ispow2(max + 1)) { return static_cast<result_type>(rng() & max); } const result_type mask = static_cast<result_type>(ceil2(static_cast<u64>(max + 1))) - 1; while (true) { const result_type ans = static_cast<result_type>(rng() & mask); if (ans <= max) { return ans; } } } result_type operator()(const result_type min, const result_type max) { return min + (*this)(max - min); } operator bool() { return *this(0, 1); } template<typename Int> std::pair<Int, Int> pair(const Int min, const Int max, const bool sorted = false) { return sorted ? std::minmax(*this(min, max), *this(min, max)) : std::pair<Int, Int>{*this(min, max), *this(min, max)}; } template<typename Int> std::vector<Int> vec(const std::size_t size, const Int min, const Int max) { std::vector<Int> v(size); for (std::size_t i = 0; i < size; i++) { v[i] = *this(min, max); } return v; } std::vector<usize> perm(const usize n) { std::vector<usize> ans(n); std::iota(ans.begin(), ans.end(), 0UL); std::shuffle(ans.begin(), ans.end(), rng); return ans; } private: Rng rng; }; using rng_mt = rng_base<std::mt19937>; using rng_mt64 = rng_base<std::mt19937_64>; using rng_xoshiro = rng_base<xoshiro>; using rng_xoshiro64 = rng_base<xoshiro_64>; rng_mt g_rng_mt; rng_mt64 g_rng_mt64; rng_xoshiro g_rng_xo; rng_xoshiro64 g_rng_xo64; int main() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false); const int N = read<int>(); const ull X = read<ull>(); auto A = read<ull>(N); std::sort(A.begin(), A.end()); { ull x = X + 1; for (const ull a : A) { x /= (a + 1); } if (x == 0) { return std::cout << std::string(X, '0') << std::endl, 0; } } ull p = 1; for (const ull a : A) { p *= (a + 1); } p--; { if (N == 1) { std::string ans(X, '0'); ans[A[0] - 1] = '1'; return std::cout << ans << std::endl, 0; } } { if (N == 2) { for (ull i = 1; i <= X; i++) { if (i < p) { std::cout << 0; } else { const ull y = i - p; std::cout << (y % A[0] == 0 or y % A[1] == 0); } } std::cout << std::endl; return 0; } } ull g = 0; for (const ull a : A) { g = std::gcd(g, a); } { if (A[0] == g) { for (int i = 1; i <= X; i++) { if (i >= p) { const ull d = i - p; std::cout << (d % g == 0); } else { std::cout << 0; } } std::cout << std::endl; return 0; } } constexpr uint mod = 9999991; // ひえ〜 using mint = modint<mod>; std::vector<mint> hs(X + 1), ihs(X + 1, 1); for (int i = 0; i <= X; i++) { hs[i] = g_rng_xo(2, mod - 2), ihs[i] /= hs[i]; } constexpr ull NONE = 1ULL << 60; std::vector<ull> v = A; mint hash = 1; for (const ull a : A) { hash *= hs[a]; } ull product = 1; for (const ull a : A) { product *= (a + 1); } ull min = X; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (i == j) { continue; } if (std::gcd(A[i], A[j]) != g) { continue; } chmin(min, A[i] * ((A[i] + 1) * A[j] - 1) + 1); } } // ここから先はg刻みで1が並ぶはず const ull L = std::min(X, p + min); std::vector<int> is(N); auto inds_of = [&](const std::vector<ull>& v) { std::vector<int> ans; for (int i = 0; i < N; i++) { if (v[i] == NONE) { continue; } ans.push_back(i); } return ans; }; std::vector<bool> ok(X + 1, false); auto in = [&](const int i, const int j, const ull x, const ull y, const ull z) { v[i] = z, v[j] = NONE; ((product /= (x + 1)) /= (y + 1)) *= (z + 1); ((hash *= ihs[x]) *= ihs[y]) *= hs[z]; }; auto out = [&](const int i, const int j, const ull x, const ull y, const ull z) { v[i] = x, v[j] = y; ((product *= (x + 1)) *= (y + 1)) /= (z + 1); ((hash *= hs[x]) *= hs[y]) *= ihs[z]; }; std::set<uint> used_hash; used_hash.insert(hash()); auto dfs = [&](auto&& self) -> void { const auto is = inds_of(v); const int size = is.size(); if (size == 2) { const ull x = v[is[0]], y = v[is[1]]; const ull new_value = (x + 1) * (y + 1) - 1; for (ull z = new_value;; z += x) { if (z > L) { break; } ok[z] = true; } for (ull z = new_value + y;; z += y) { if (z > L) { break; } ok[z] = true; } return; } std::set<uint> used_new_hash; for (int i_ = 0; i_ < size; i_++) { for (int j_ = i_ + 1; j_ < size; j_++) { const int i = is[i_], j = is[j_]; const ull x = v[i], y = v[j]; const mint new_hash = hash * ihs[x] * ihs[y]; if (used_new_hash.find(new_hash()) != used_new_hash.end()) { continue; } used_new_hash.insert(new_hash()); const ull new_product = product / (x + 1) / (y + 1); const ull new_value = (x + 1) * (y + 1) - 1; for (ull z = new_value;; z += x) { ull next_product = new_product * (z + 1); if (next_product > L + 1) { break; } mint next_hash = new_hash * hs[z]; if (used_hash.find(next_hash()) != used_hash.end()) { continue; } used_hash.insert(next_hash()); in(i, j, x, y, z); self(self); out(i, j, x, y, z); } for (ull z = new_value + y;; z += y) { ull next_product = new_product * (z + 1); if (next_product > L + 1) { break; } mint next_hash = new_hash * hs[z]; if (used_hash.find(next_hash()) != used_hash.end()) { continue; } used_hash.insert(next_hash()); in(i, j, x, y, z); self(self); out(i, j, x, y, z); } } } }; dfs(dfs); std::cerr << used_hash.size() << std::endl; for (int x = 1; x <= X; x++) { if (x <= L) { std::cout << ok[x]; } else { std::cout << ((x - p) % g == 0); } } std::cout << std::endl; return 0; }