#803197 (C++17) No.2193 メガの下１桁

提出ソース

結果

問題	No.2193 メガの下１桁
ユーザー	shino16
提出日時	2022-09-30 22:57:06
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3 ms / 2,000 ms
コード長	7,385 bytes
コンパイル時間	2,556 ms
コンパイル使用メモリ	220,936 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-06-06 21:21:59
合計ジャッジ時間	3,594 ms
ジャッジサーバーID （参考情報）	judge2 / judge5

このコードへのチャレンジ
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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	3 ms 5,248 KB
testcase_01	AC	1 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	1 ms 5,376 KB
testcase_05	AC	1 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	1 ms 5,376 KB
testcase_08	AC	1 ms 5,376 KB
testcase_09	AC	3 ms 5,376 KB
testcase_10	AC	1 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	AC	3 ms 5,376 KB
testcase_17	AC	2 ms 5,376 KB
testcase_18	AC	1 ms 5,376 KB
testcase_19	AC	2 ms 5,376 KB
testcase_20	AC	2 ms 5,376 KB
testcase_21	AC	2 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	2 ms 5,376 KB
testcase_27	AC	2 ms 5,376 KB
testcase_28	AC	2 ms 5,376 KB
testcase_29	AC	2 ms 5,376 KB
testcase_30	AC	1 ms 5,376 KB
testcase_31	AC	2 ms 5,376 KB
testcase_32	AC	2 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	1 ms 5,376 KB
testcase_39	AC	2 ms 5,376 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

raw source code

#line 1 "main.cpp"
// 制約チェック

#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 4 "main.cpp"

ll m = in, d = in, r = in, b = in;
int f[64][11*10];

int modpow(int e, ll k, int mod) {
  if (e == 0) return 0;
  int ans = 1;
  for (; k; k /= 2, e = e * e % mod) {
    if (k % 2) ans = ans * e % mod;
  }
  return ans;
}

int solve(int q) {
  int p = 2; while (q % p) p++;
  int mod = q * (q / p * (p - 1));
  rep(x, mod)
    f[0][x] = modpow((x+d) % mod, x + mod * 24, mod);
  rep(i, size(f)-1) rep(x, mod) f[i+1][x] = f[i][f[i][x]];
  int x = m % mod;
  rep(i, 63)
    if (r>>i & 1) x = f[i][x];
  return x % q;
}

int crt(int x, int m, int y, int q) {
  int iq = -1; rep(i, m) if (i * q % m == 1) iq = i;
  int im = -1; rep(i, q) if (i * m % q == 1) im = i;
  assert(iq != -1 && im != -1);
  return (q * iq * x + m * im * y) % (m * q);
}

int main() {
  assert(m >= 0 && m <= 1'000'000'000'000'000'000);
  assert(d >= 0 && d <= 1'000'000'000'000'000'000);
  assert(r >= 0 && r <= 1'000'000'000'000'000'000);
  assert(b >= 2 && b <= 11);
  if (m == 0) return out(r == 0 ? 0 : 1), 0;
  rep(i, 8) {
    if (!r) break;
    r--;
    int mods[] = {0, 1, 2, 6, 8, 20, 12, 42, 32, 54, 40, 110};
    m = modpow((m + d) % mods[b], m, mods[b] * 24);
  }
  int x = 0, mod = 1;
  rep2(p, 2, b+1) if (b % p == 0) {
    int q = p; while (b % (q*p) == 0) q *= p;
    x = mod == 1 ? solve(q) : crt(x, mod, solve(q), q);
    mod *= q;
    b /= q;
  }
  out.write_char(x == 10 ? 'A' : '0' + x), out.write_char('\n');
}

yukicoder

結果

テストケース

ソースコード