結果
問題 | No.435 占い(Extra) |
ユーザー | Pachicobue |
提出日時 | 2019-03-15 22:08:26 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 16,688 bytes |
コンパイル時間 | 2,142 ms |
コンパイル使用メモリ | 209,332 KB |
実行使用メモリ | 42,368 KB |
最終ジャッジ日時 | 2024-10-08 12:24:51 |
合計ジャッジ時間 | 8,614 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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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 | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | AC | 1 ms
5,248 KB |
testcase_03 | AC | 2 ms
5,248 KB |
testcase_04 | AC | 2 ms
5,248 KB |
testcase_05 | AC | 2 ms
5,248 KB |
testcase_06 | AC | 5 ms
5,248 KB |
testcase_07 | AC | 2 ms
5,248 KB |
testcase_08 | AC | 3 ms
5,248 KB |
testcase_09 | AC | 3 ms
5,248 KB |
testcase_10 | AC | 23 ms
5,248 KB |
testcase_11 | AC | 20 ms
5,248 KB |
testcase_12 | AC | 240 ms
7,296 KB |
testcase_13 | AC | 209 ms
5,248 KB |
testcase_14 | AC | 179 ms
5,248 KB |
testcase_15 | AC | 148 ms
5,248 KB |
testcase_16 | AC | 143 ms
5,248 KB |
testcase_17 | AC | 383 ms
5,248 KB |
testcase_18 | AC | 240 ms
7,168 KB |
testcase_19 | AC | 200 ms
5,248 KB |
testcase_20 | TLE | - |
testcase_21 | TLE | - |
testcase_22 | TLE | - |
testcase_23 | AC | 1,722 ms
5,248 KB |
testcase_24 | AC | 1,378 ms
5,248 KB |
testcase_25 | AC | 1,347 ms
5,248 KB |
testcase_26 | TLE | - |
testcase_27 | TLE | - |
testcase_28 | AC | 2 ms
5,248 KB |
testcase_29 | TLE | - |
testcase_30 | AC | 135 ms
42,240 KB |
testcase_31 | TLE | - |
testcase_32 | AC | 1,988 ms
10,244 KB |
testcase_33 | AC | 1,541 ms
5,248 KB |
testcase_34 | AC | 1,343 ms
5,248 KB |
testcase_35 | AC | 1,786 ms
5,248 KB |
ソースコード
#include <bits/stdc++.h> #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" //!===========================================================!// //! dP dP dP !// //! 88 88 88 !// //! 88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b. !// //! 88 88 88ooood8 88' '88 88' '88 88ooood8 88' '88 !// //! 88 88 88. ... 88. .88 88. .88 88. ... 88 !// //! dP dP '88888P' '88888P8 '88888P8 '88888P' dP !// //!===========================================================!// using ld = long double; using ll = long long; using ull = unsigned long long; std::mt19937 mt{std::random_device{}()}; template <typename T> constexpr T INF = std::numeric_limits<T>::max() / 4; template <typename T> constexpr T MOD = static_cast<T>(1000000007); template <typename F> constexpr F PI() { return 3.1415926535897932385; } #define SHOW(...) (std::cerr << "(" << #__VA_ARGS__ << ") = ("), HogeHogeSansuu(__VA_ARGS__), std::cerr << ")" << std::endl; struct has_debugPrint_impl { template <class T> static auto check(T&& x) -> decltype(x.debugPrint(), std::true_type{}); template <class T> static auto check(...) -> std::false_type; }; template <class T> class has_debugPrint : public decltype(has_debugPrint_impl::check<T>(std::declval<T>())) { }; template <bool> struct HogeHogeDump { template <typename T> static void dump(const T& x) { x.debugPrint(); } }; template <> struct HogeHogeDump<false> { template <typename T> static void dump(const T& x) { std::cerr << x; } }; void HogeHogeSansuu() { ; } template <typename T> void HogeHogeSansuu(const T& x) { HogeHogeDump<has_debugPrint<T>::value>::dump(x); } template <typename T, typename... Args> void HogeHogeSansuu(const T& x, Args... args) { HogeHogeDump<has_debugPrint<T>::value>::dump(x), std::cerr << ",", HogeHogeSansuu(args...); } template <typename T> bool chmin(T& a, const T& b) { return a = std::min(a, b), a == b; } template <typename T> bool chmax(T& a, const T& b) { return a = std::max(a, b), a == b; } template <typename T, typename F> void For(const T s, const T t, const F f) { for (T i = s; i != t; i += T(s < t ? 1 : -1)) { f(i); } } template <typename T, typename F> void Rep(const T N, const F f) { For<T, F>(0, N, f); } template <typename T, typename F> void RRep(const T N, const F f) { For<T, F>(N - 1, -1, f); } template <typename T> std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); } template <class... Args> auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); } template <typename T> constexpr T PopCount(T v) { return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f); } template <typename T> constexpr T log2p1(T v) { return v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), PopCount(v); } template <typename T> constexpr bool ispow2(const T v) { return (v << 1) == (T(1) << (log2p1(v))); } template <typename T> constexpr T ceil2(const T v) { return ispow2(v) ? v : T(1) << log2p1(v); } template <typename T> constexpr T floor2(const T v) { return v == 0 ? T(0) : ispow2(v) ? v : T(1) << (log2p1(v) - 1); } template <typename T> struct Accum { template <typename InIt> Accum(const InIt first, const InIt last) : accum(std::size_t(std::distance(first, last))) { std::partial_sum(first, last, accum.begin()); } T sum(const std::size_t i) const { return i == 0 ? T(0) : accum[i - 1]; } T sum(const std::size_t l, const std::size_t r) const { return sum(r) - sum(l); } std::vector<T> accum; }; template <typename T> struct Accum2D { Accum2D(const std::vector<std::vector<T>>& t) : accum{t} { for (std::size_t i = 0; i < accum.size(); i++) { for (std::size_t j = 1; j < accum[i].size(); j++) { accum[i][j] += accum[i][j - 1]; } } for (std::size_t i = 1; i < accum.size(); i++) { for (std::size_t j = 0; j < accum[i].size(); j++) { accum[i][j] += accum[i - 1][j]; } } } T sum(const std::size_t y, const std::size_t x) const { return y == 0 or x == 0 ? T(0) : accum[y - 1][x - 1]; } T sum(const std::size_t ymin, const std::size_t ysup, const std::size_t xmin, const std::size_t xsup) const { return sum(ysup, xsup) - sum(ymin, xmin); } std::vector<std::vector<T>> accum; }; template <typename T> struct Zip { template <typename InIt> Zip(const InIt first, const InIt last) : unzip(std::size_t(std::distance(first, last))) { std::copy(first, last, unzip), std::sort(unzip.begin(), unzip.end()), unzip.erase(std::unique(unzip.begin(), unzip.end()), unzip.end()); for (std::size_t i = 0; i < unzip.size(); i++) { zip[unzip[i]] = i; } } std::vector<T> unzip; std::map<T, std::size_t> zip; }; template <typename T, std::size_t N> std::ostream& operator<<(std::ostream& os, const std::array<T, N>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename T, typename A> std::ostream& operator<<(std::ostream& os, const std::deque<T, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename K, typename T, typename C, typename A> std::ostream& operator<<(std::ostream& os, const std::multimap<K, T, C, A>& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template <typename T, typename C, typename A> std::ostream& operator<<(std::ostream& os, const std::multiset<T, C, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename K, typename T, typename C, typename A> std::ostream& operator<<(std::ostream& os, const std::map<K, T, C, A>& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template <typename T1, typename T2> std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& v) { return (os << "<" << v.first << "," << v.second << ">"); } template <typename T1, typename T2, typename T3> std::ostream& operator<<(std::ostream& os, const std::priority_queue<T1, T2, T3>& v) { auto q = v; os << "["; while (not q.empty()) { os << q.top() << ",", q.pop(); } return os << "]\n"; } template <typename T1, typename T2> std::ostream& operator<<(std::ostream& os, const std::queue<T1>& v) { auto q = v; os << "["; while (not q.empty()) { os << q.front() << ",", q.pop(); } return os << "]\n"; } template <typename T, typename C, typename A> std::ostream& operator<<(std::ostream& os, const std::set<T, C, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename T1, typename T2> std::ostream& operator<<(std::ostream& os, const std::stack<T1>& v) { auto q = v; os << "["; while (not q.empty()) { os << q.top() << ",", q.pop(); } return os << "]\n"; } template <typename K, typename T, typename H, typename P, typename A> std::ostream& operator<<(std::ostream& os, const std::unordered_multimap<K, T, H, P, A>& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template <typename T, typename H, typename P, typename A> std::ostream& operator<<(std::ostream& os, const std::unordered_multiset<T, H, P, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename K, typename T, typename H, typename P, typename A> std::ostream& operator<<(std::ostream& os, const std::unordered_map<K, T, H, P, A>& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template <typename T, typename H, typename P, typename A> std::ostream& operator<<(std::ostream& os, const std::unordered_set<T, H, P, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template <typename T, typename A> std::ostream& operator<<(std::ostream& os, const std::vector<T, A>& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } //!===============================================================!// //! 88888888b dP .88888. a88888b. 888888ba !// //! 88 88 d8' '88 d8' '88 88 '8b !// //! a88aaaa dP. .dP d8888P 88 88 88 88 !// //! 88 '8bd8' 88 88 YP88 88 88 88 !// //! 88 .d88b. 88 Y8. .88 Y8. .88 88 .8P !// //! 88888888P dP' 'dP dP '88888' Y88888P' 8888888P !// //!===============================================================!// 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 p = extgcd(b, a % b); return {p.second, p.first - p.second * (a / b)}; } template <typename T> constexpr T inverse(const T a, const T mod) { return (mod + extgcd((mod + a % mod) % mod, mod).first % mod) % mod; } //!========================================================!// //! 8888ba.88ba dP dP dP !// //! 88 '8b '8b 88 88 88 !// //! 88 88 88 .d8888b. .d888b88 88 88d888b. d8888P !// //! 88 88 88 88' '88 88' '88 88 88' '88 88 !// //! 88 88 88 88. .88 88. .88 88 88 88 88 !// //! dP dP dP '88888P' '88888P8 dP dP dP dP !// //!========================================================!// template <typename T, T mod> class ModInt { private: T value; public: ModInt() : value{0} {} ModInt(const T val) : value{((val % mod) + mod) % mod} {} ModInt(const ModInt<T, mod>& n) : value{n()} {} ModInt<T, mod>& operator=(const ModInt<T, mod>& n) { return value = n(), (*this); } ModInt<T, mod>& operator=(const T v) { return value = (mod + v % mod) % mod, (*this); } ModInt<T, mod> operator+() const { return *this; } ModInt<T, mod> operator-() const { return ModInt{mod - value}; } ModInt<T, mod> operator+(const ModInt<T, mod>& val) const { return ModInt{value + val()}; } ModInt<T, mod> operator-(const ModInt<T, mod>& val) const { return ModInt{value - val() + mod}; } ModInt<T, mod> operator*(const ModInt<T, mod>& val) const { return ModInt{value * val()}; } ModInt<T, mod> operator/(const ModInt<T, mod>& val) const { return ModInt{value * inverse(val(), mod)}; } ModInt<T, mod>& operator+=(const ModInt<T, mod>& val) { return (((value += val()) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator-=(const ModInt<T, mod>& val) { return (((value -= val()) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator*=(const ModInt<T, mod>& val) { return (((value *= val()) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator/=(const ModInt<T, mod>& val) { return (((value *= inverse(val(), mod)) %= mod) += mod) %= mod, (*this); } ModInt<T, mod> operator+(const T val) const { return ModInt{value + val}; } ModInt<T, mod> operator-(const T val) const { return ModInt{value - val}; } ModInt<T, mod> operator*(const T val) const { return ModInt{value * val}; } ModInt<T, mod> operator/(const T val) const { return ModInt{value * inverse(val, mod)}; } template <typename I> ModInt<T, mod> operator^(const I n) const { return n < 0 ? (T(1) / (*this)) ^ (-n) : n == 0 ? ModInt<T, mod>(1) : n % 2 == 1 ? (*this) * ((*this) ^ (n - 1)) : ((*this * *this) ^ (n / 2)); } ModInt<T, mod>& operator+=(const T val) { return (((value += val) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator-=(const T val) { return (((value -= val) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator*=(const T val) { return (((value *= val) %= mod) += mod) %= mod, (*this); } ModInt<T, mod>& operator/=(const T val) { return (((value *= inverse(val, mod)) %= mod) += mod) %= mod, (*this); } template <typename I> ModInt<T, mod>& operator^=(const I n) { return (*this) = ((*this) ^ n); } bool operator==(const ModInt<T, mod>& val) const { return value == val.value; } bool operator!=(const ModInt<T, mod>& val) const { return not(*this == val); } bool operator==(const T val) const { return value == (mod + val % mod) % mod; } bool operator!=(const T val) const { return not(*this == val); } T operator()() const { return value; } }; template <typename T, T mod> inline ModInt<T, mod> operator+(const T val, const ModInt<T, mod>& n) { return ModInt<T, mod>{n() + val}; } template <typename T, T mod> inline ModInt<T, mod> operator-(const T val, const ModInt<T, mod>& n) { return ModInt<T, mod>{-n() + val}; } template <typename T, T mod> inline ModInt<T, mod> operator*(const T val, const ModInt<T, mod>& n) { return ModInt<T, mod>{n() * val}; } template <typename T, T mod> inline ModInt<T, mod> operator/(const T val, const ModInt<T, mod>& n) { return ModInt<T, mod>(val) / n; } template <typename T, T mod> inline bool operator==(const T val, const ModInt<T, mod>& n) { return n == val; } template <typename T, T mod> inline bool operator!=(const T val, const ModInt<T, mod>& n) { return not(val == n); } template <typename T, T mod> inline std::istream& operator>>(std::istream& is, ModInt<T, mod>& n) { T v; return is >> v, n = v, is; } template <typename T, T mod> std::ostream& operator<<(std::ostream& os, const ModInt<T, mod>& n) { return (os << n()); } template <int mod> using Mint = ModInt<int, mod>; template <ll mod> using Mll = ModInt<ll, mod>; //!=================================================!// //! dP !// //! 88 !// //! 88 dP dP .d8888b. .d8888b. .d8888b. !// //! 88 88 88 88' `"" 88' `88 Y8ooooo. !// //! 88 88. .88 88. ... 88. .88 88 !// //! 88888888P `88888P' `88888P' `88888P8 `88888P' !// //!=================================================!// template <typename T, T p, T q> class Lucas { private: static constexpr T pow(T x, T n) { return n == 0 ? T(1) : n % 2 == 1 ? pow(x, n - 1) * x : pow(x * x, n / 2); } static constexpr T fac(T n) { T ans = 0; for (; n > 0; n /= p) { ans += n; } return ans; } static constexpr T mod = pow(p, q); using mint = ModInt<T, mod>; std::vector<mint> f, invf; public: Lucas() : f(mod, 1), invf(mod, 1) { for (T i = 1; i < mod; i++) { f[i] = f[i - 1] * (i % p == 0 ? T(1) : T(i)); } invf[mod - 1] = mint(1) / f[mod - 1]; for (T i = mod - 1; i >= 1; i--) { invf[i - 1] = invf[i] * (i % p == 0 ? T(1) : T(i)); } } mint comb(T N, T K) const { T R = N - K; const T e_0 = fac(N) - fac(K) - fac(R), e_q1 = fac(N / mod) - fac(K / mod) - fac(R / mod); mint ans = pow(p, e_0) * T(p == 2 or q >= 3 or e_q1 % 2 == 0 ? 1 : -1); for (; N > 0; N /= p, K /= p, R /= p) { ans *= f[N % mod] * invf[K % mod] * invf[R % mod]; } return ans; } }; //!============================================!// //! 8888ba.88ba oo !// //! 88 '8b '8b !// //! 88 88 88 .d8888b. dP 88d888b. !// //! 88 88 88 88' '88 88 88' '88 !// //! 88 88 88 88. .88 88 88 88 !// //! dP dP dP '88888P8 dP dP dP !// //!============================================!// int main() { Lucas<int, 3, 2> lucas; SHOW(lucas.comb(3, 1)); int T; std::cin >> T; Rep(T, [&](const int) { int N, X, A, B, M; std::cin >> N >> X >> A >> B >> M; std::vector<int> s(N); int r = X, zero = 0; Rep(N, [&](const int i) { s[i] = r % 10, r = ((r ^ A) + B) % M, zero += (s[i] == 0); }); if (zero == N) { std::cout << 0 << std::endl; } else { ModInt<int, 9> ans = 0; Rep(N, [&](const int i) { ans += lucas.comb(N - 1, i) * s[i]; }); std::cout << (ans - 1)() + 1 << std::endl; } }); return 0; }