結果
問題 | No.2122 黄金比で擬似乱数生成 |
ユーザー | shino16 |
提出日時 | 2022-10-01 02:54:39 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 19 ms / 2,000 ms |
コード長 | 6,759 bytes |
コンパイル時間 | 2,672 ms |
コンパイル使用メモリ | 214,472 KB |
実行使用メモリ | 6,144 KB |
最終ジャッジ日時 | 2024-07-18 22:05:21 |
合計ジャッジ時間 | 3,541 ms |
ジャッジサーバーID (参考情報) |
judge4 / 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 | 2 ms
5,248 KB |
testcase_01 | AC | 5 ms
6,016 KB |
testcase_02 | AC | 4 ms
6,016 KB |
testcase_03 | AC | 4 ms
6,016 KB |
testcase_04 | AC | 5 ms
5,888 KB |
testcase_05 | AC | 5 ms
6,016 KB |
testcase_06 | AC | 5 ms
6,016 KB |
testcase_07 | AC | 5 ms
6,144 KB |
testcase_08 | AC | 5 ms
6,016 KB |
testcase_09 | AC | 5 ms
6,016 KB |
testcase_10 | AC | 5 ms
6,144 KB |
testcase_11 | AC | 4 ms
6,016 KB |
testcase_12 | AC | 5 ms
6,016 KB |
testcase_13 | AC | 5 ms
6,016 KB |
testcase_14 | AC | 5 ms
6,016 KB |
testcase_15 | AC | 6 ms
6,016 KB |
testcase_16 | AC | 9 ms
6,016 KB |
testcase_17 | AC | 5 ms
6,016 KB |
testcase_18 | AC | 2 ms
5,376 KB |
testcase_19 | AC | 5 ms
6,016 KB |
testcase_20 | AC | 2 ms
5,376 KB |
testcase_21 | AC | 2 ms
5,376 KB |
testcase_22 | AC | 19 ms
6,016 KB |
testcase_23 | AC | 19 ms
6,016 KB |
testcase_24 | AC | 18 ms
6,016 KB |
testcase_25 | AC | 19 ms
6,016 KB |
ソースコード
#line 2 "lib/prelude.hpp" #ifndef LOCAL #pragma GCC optimize("O3") /* #pragma GCC target("avx2") */ #endif #include <bits/stdc++.h> using namespace std; using ll = long long; #define rep2(i, m, n) for (auto i = (m); i < (n); i++) #define rep(i, n) rep2(i, 0, n) #define repr2(i, m, n) for (auto i = (n); i-- > (m);) #define repr(i, n) repr2(i, 0, n) #define all(x) begin(x), end(x) template <class T> auto ndvec(size_t n, T&& x) { return vector(n, forward<T>(x)); } template <class... Ts> auto ndvec(size_t n, Ts&&... xs) { return vector(n, ndvec(forward<Ts>(xs)...)); } #line 3 "lib/io.hpp" struct int1 { int val; int1(int a = 1) : val(a - 1) {} operator int() const { return val; } }; template <size_t BufSize = 1 << 26> class stdin_reader { public: stdin_reader() { buf[fread(buf, 1, sizeof(buf), stdin)] = 0; } template <class T> enable_if_t<is_integral_v<T>> read(T& x) { skip(); [[maybe_unused]] bool neg = false; if constexpr (is_signed_v<T>) neg = *p == '-' ? (p++, true) : false; x = 0; while (*p > ' ') x = x * 10 + (*p++ & 0x0F); if constexpr (is_signed_v<T>) x = neg ? -x : x; } template <class T> void_t<decltype(&T::val)> read(T& x) { x = T((unsigned)(*this)); } void read(char*& q) { skip(); q = p; while (*p > ' ') p++; *p = 0; } template <size_t N> void read(char (&s)[N]) { read(s); } void read(string& s) { skip(); char* p0 = p; while (*p > ' ') p++; s.assign(p0, p); } template <class T, void_t<decltype(tuple_size<T>::value)>* = nullptr> void read(T& x) { read_tuple_impl(x, make_index_sequence<tuple_size_v<T>>{}); } template <class T, class U> void read(pair<T, U>& x) { read(x.first), read(x.second); } template <class T, size_t N> void read(T (&a)[N]) { for (auto& e : a) read(e); } template <class T> operator T() { T x; return read(x), x; } template <class... Ts> void operator()(Ts&... xs) { (read(xs), ...); } int operator--() { return (int)*this - 1; } template <class T> T* arr(int n) { T* p = new T[n + 1]; rep(i, n) read(p[i]); return p; } template <class T> void vec(vector<T>& v, int n) { v.resize(n); for (auto& e : v) read(e); } template <class T> vector<T> vec(int n) { vector<T> v; return vec(v, n), v; } template <class... Ts> tuple<vector<Ts>...> vecs(int n) { tuple<vector<Ts>...> res; vecs_impl(res, n, make_index_sequence<sizeof...(Ts)>{}); return res; } template <class T> void vvec(vector<vector<T>>& v, int n, int m) { v.resize(n); for (auto& e : v) vec(e, m); } template <class T> vector<vector<T>> vvec(int n, int m) { vector<vector<T>> v; return vvec(v, n, m), v; } template <class... Ts> auto cols(int n) { return transpose(vec<tuple<Ts...>>(n)); } private: char buf[BufSize], *p = buf; void skip() { while (*p <= ' ') p++; } template <class T, size_t... Is> void read_tuple_impl(T& x, index_sequence<Is...>) { (*this)(get<Is>(x)...); } template <class T, size_t... Is> void vecs_impl(T& x, int n, index_sequence<Is...>) { (vec(get<Is>(x), n), ...); } template <class T, size_t... Is> static auto transpose_impl(const vector<T>& v, index_sequence<Is...>) { tuple<vector<decay_t<tuple_element_t<Is, T>>>...> w; (get<Is>(w).reserve(v.size()), ...); for (const auto& row : v) (get<Is>(w).push_back(get<Is>(row)), ...); return w; } template <class T> static auto transpose(const vector<T>& v) { return transpose_impl(v, make_index_sequence<tuple_size_v<T>>{}); } }; template <size_t BufSize = 1 << 26> class stdout_writer { public: ~stdout_writer() { flush(); } void flush() { fwrite(buf, 1, p - buf, stdout), p = buf; } void write_char(char c) { *p++ = c; } void write(char c) { write_char(c); } template <class T> enable_if_t<is_integral_v<T>> write(T x) { if (!x) return write_char('0'); if constexpr (is_signed_v<T>) if (x < 0) write_char('-'), x = -x; static char tmp[16]; char* q = end(tmp); while (x >= 10000) memcpy(q -= 4, digits.data + x % 10000 * 4, 4), x /= 10000; if (x < 10) write_char('0' + x); else if (x < 100) write_char('0' + (uint8_t)x / 10), write_char('0' + (uint8_t)x % 10); else if (x < 1000) memcpy(p, digits.data + x * 4 + 1, 3), p += 3; else memcpy(p, digits.data + x * 4, 4), p += 4; memcpy(p, q, end(tmp) - q), p += end(tmp) - q; } template <class T> void_t<decltype(&T::val)> write(T x) { write(x.val()); } void write(double x) { static char tmp[40]; sprintf(tmp, "%.10f", x); write(tmp); } void write(const char* s) { while (*s) *p++ = *s++; } void write(const string& s) { memcpy(p, s.c_str(), s.size()), p += s.size(); } template <class T, class U> void write(const pair<T, U>& x) { write(x.first), write_char(' '), write(x.second); } template <class... Ts> void write(const tuple<Ts...>& x) { write_tuple(x, make_index_sequence<sizeof...(Ts)>{}); } template <class... Ts> void write(const Ts&... xs) { ((write(xs), write_char(' ')), ...), --p; } template <class... Ts> void writeln(const Ts&... xs) { write(xs...), write_char('\n'); } template <class... Ts> void operator()(const Ts&... xs) { writeln(xs...); } template <class It> void iter(It first, It last, char sep = ' ') { if (first == last) write_char('\n'); else { while (first != last) write(*first++), write_char(sep); p[-1] = '\n'; } } void Yes(bool b = true) { writeln(b ? "Yes" : "No"); } void YES(bool b = true) { writeln(b ? "YES" : "NO"); } void Takahashi(bool b = true) { writeln(b ? "Takahashi" : "Aoki"); } private: char buf[BufSize], *p = buf; template <class T, size_t... Is> void write_tuple(const T& x, index_sequence<Is...>) { ((write(get<Is>(x)), write_char(' ')), ...), --p; } struct four_digits { char data[40000]; constexpr four_digits() : data() { for (int i = 0; i < 10000; i++) for (int n = i, j = 4; j--;) data[i * 4 + j] = n % 10 + '0', n /= 10; } } static constexpr digits{}; public: #define INSTANT(s) void s() { writeln(#s); } INSTANT(No) INSTANT(NO) INSTANT(Aoki) INSTANT(possible) INSTANT(Possible) INSTANT(POSSIBLE) INSTANT(impossible) INSTANT(Impossible) INSTANT(IMPOSSIBLE) #undef INSTANT }; stdin_reader<> in; stdout_writer<> out; #line 2 "main.cpp" #include <atcoder/modint> using mint = atcoder::static_modint<10000>; using mat = array<array<mint, 2>, 2>; using vec = array<mint, 2>; mat mul(const mat& a, const mat& b) { mat c{}; rep(i, 2) rep(j, 2) rep(k, 2) c[i][k] += a[i][j] * b[j][k]; return c; } vec mul(const mat& a, const vec& b) { vec c{}; rep(i, 2) rep(j, 2) c[i] += a[i][j] * b[j]; return c; } int f[62][10000]; int main() { int s = in; ll p = in, r = in; if (p == 0) return printf("%04d\n", r ? 0 : s), 0; rep(n, 10000) { vec v{{1, 0}}; mat m{{{n, 1}, {1, 0}}}; for (ll k = p; k; k /= 2, m = mul(m, m)) if (k % 2) v = mul(m, v); f[0][n] = (v[1] - (p % 2)).val(); } rep(i, size(f)-1) rep(n, size(f[i])) f[i+1][n] = f[i][f[i][n]]; rep(i, size(f)) if (r>>i & 1) s = f[i][s]; printf("%04d\n", s); }