結果

問題 No.167 N^M mod 10
ユーザー tu-sa
提出日時 2018-07-11 03:14:18
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 1,000 ms
コード長 6,586 bytes
コンパイル時間 1,954 ms
コンパイル使用メモリ 177,840 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-22 01:47:50
合計ジャッジ時間 2,565 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 27
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

diff #
プレゼンテーションモードにする

////////////////////////////////////////
///  tu3 pro-con template            ///
////////////////////////////////////////
#include "bits/stdc++.h"
using namespace std;
// -- loop macros -- //
#define REP(i,n) for (int i = 0; i < (n); i++)
#define RREP(i,n) for (int i = (n)-1; i >= 0; i--)
#define FOR(i,s,n) for (int i = (int)(s); i < (n); i++)
#define RFOR(i,s,n) for (int i = (n)-1; i >= (s); i--)
#define FOREACH(i,container) for (auto &&i : container)
#define allof(c) c.begin(), c.end()
#define partof(c,i,n) c.begin() + (i), c.begin() + (i) + (n)
// -- functors -- //
#define PREDICATE(t,a,exp) [&](const t & a) -> bool { return exp; }
#define COMPARISON(t,a,b,exp) [&](const t & a, const t & b) -> bool { return exp; }
#define PRED(a,exp) [&](const auto & a) -> bool { return exp; }
#define COMP(a,b,exp) [&](const auto & a, const auto & b) -> bool { return exp; }
#define CONV1(a,exp) [&](const auto & a) -> auto { return exp; }
#define CONV2(a,b,exp) [&](const auto & a, const auto & b) -> auto { return exp; }
#define CONV3(a,b,c,exp) [&](const auto & a, const auto & b, const auto & c) -> auto { return exp; }
// -- typedefs -- //
#define EPS 1e-9
typedef unsigned int uint;
typedef long long llong;
typedef unsigned long long ullong;
// -- I/O Helper -- //
struct _Reader { _Reader(istream &cin) :cin(cin) {} istream &cin; template <class T> _Reader operator ,(T &rhs) { cin >> rhs; return *this; } };
struct _Writer { _Writer(ostream &cout) :cout(cout) {} ostream &cout; bool f{ false }; template <class T> _Writer operator ,(const T &rhs) { cout << 
    (f ? " " : "") << rhs; f = true; return *this; } };
#define READ(t,...) t __VA_ARGS__; (_Reader{cin}), __VA_ARGS__
#define WRITE(...) (_Writer{cout}), __VA_ARGS__; cout << '\n'
#define DEBUG(...) (_Writer{cerr}), __VA_ARGS__; cerr << '\n'
// -- vevector -- //
template <class T> struct vevector : public vector<vector<T>> { vevector(int n = 0, int m = 0, const T &initial = T()) : vector<vector<T>>(n, vector
    <T>(m, initial)) { } };
template <class T> struct vevevector : public vector<vevector<T>> { vevevector(int n = 0, int m = 0, int l = 0, const T &initial = T()) : vector
    <vevector<T>>(n, vevector<T>(m, l, initial)) { } };
template <class T> struct vevevevector : public vector<vevevector<T>> { vevevevector(int n = 0, int m = 0, int l = 0, int k = 0, const T &initial = T
    ()) : vector<vevevector<T>>(n, vevevector<T>(m, l, k, initial)) { } };
namespace std {
    template <class T1, class T2> inline istream & operator >> (istream & in, pair<T1, T2> &p) { in >> p.first >> p.second; return in; }
    template <class T1, class T2> inline ostream & operator << (ostream &out, const pair<T1, T2> &p) { out << p.first << " " << p.second; return out; 
        }
}
template <class T> T read() { T t; cin >> t; return t; }
template <class T> vector<T> read(int n) { vector<T> v; REP(i, n) { v.push_back(read<T>()); } return v; }
template <class T> vevector<T> read(int n, int m) { vevector<T> v; REP(i, n) v.push_back(read<T>(m)); return v; }
template <class T> vector<T> readjag() { return read<T>(read<int>()); }
template <class T> vevector<T> readjag(int n) { vevector<T> v; REP(i, n) v.push_back(readjag<T>()); return v; }
template <class T> struct iter_pair_t { T beg, end; };
template <class T> iter_pair_t<T> iter_pair(T beg, T end) { return iter_pair_t<T>{beg, end}; }
template <class T> ostream & operator << (ostream &out, const iter_pair_t<T> &v) { if (v.beg != v.end) { out << ++v.beg; while (v.beg != v.end) { out 
    << " " << ++v.beg; } } return out; }
template <class T1> ostream & operator << (ostream &out, const vector<T1> &v) { return out << iter_pair(begin(v), end(v)); }
// -- etc -- //
template <class T> T infinity_value();
#define DEFINE_INFINITY_VALUE(T, val) template <> constexpr T infinity_value<T>() { return (val); }
DEFINE_INFINITY_VALUE(int, 1 << 28);
DEFINE_INFINITY_VALUE(uint, 1u << 28);
DEFINE_INFINITY_VALUE(llong, 1ll << 60);
DEFINE_INFINITY_VALUE(ullong, 1ull << 60);
DEFINE_INFINITY_VALUE(double, HUGE_VAL);
DEFINE_INFINITY_VALUE(float, HUGE_VAL);
#define INF(T) infinity_value<T>()
inline int sign_of(double x) { return (abs(x) < EPS ? 0 : x > 0 ? 1 : -1); }
template <class TInt> bool in_range(TInt val, TInt min, TInt max) { return val >= min && val < max; }
template <> bool in_range<double>(double val, double min, double max) { return val - min > -EPS && val - max < EPS; }
template <> bool in_range<float>(float val, float min, float max) { return val - min > -EPS && val - max < EPS; }
template <class TInt> bool in_range2d(TInt x, TInt y, TInt w, TInt h) { return x >= 0 && x < w && y >= 0 && y < h; }
vector<int> iotavn(int start, int count) { vector<int> r(count); iota(allof(r), start); return r; }
//// start up ////
void solve();
int main()
{
    //// for local debugging
    //freopen("input.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);
    //auto classic_table = ctype<char>::classic_table();
    //vector<ctype<char>::mask> ctable(classic_table, classic_table + ctype<char>::table_size);
    //ctable[':'] |= ctype_base::space; // as delimitor
    //ctable[','] |= ctype_base::space; // as delimitor
    //cin.imbue(locale(cin.getloc(), new ctype<char>(ctable.data())));
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed;
    cout << setprecision(std::numeric_limits<double>::max_digits10);
    solve();
    return 0;
}
template <class T>
auto GenLoopFunc(T func, int n0)
{
    using Value = decltype(func(n0));
    map<Value, int> x;
    FOR(i, n0, INF(int))
    {
        Value v = func(i);
        if (x.count(v))
        {
            struct lfn
            {
                T f;
                int n0;
                int first;
                int len;
                Value operator () (int n) const
                {
                    return n < first + len ? f(n) : f((n - first) % len + first);
                }
            } ret {func, n0, x[v], i - x[v]};
            return ret;
        }
        x[v] = i;
    }
    throw "not found.";
}
// 10進数文字列を整数と見なして mod 
llong modDecimalString(string digits, llong mod)
{
    llong x = 0;
    for (char c : digits)
    {
        x = (x * 10 + (c - '0')) % mod;
    }
    return x;
}
// modを法としたxのy乗を求める。(繰り返し二乗法)
inline llong modPow(llong x, llong y, llong mod)
{
    llong r = 1;
    for (; y > 0; y >>= 1)
    {
        if (y & 1) { r = r * x % mod; }
        x = x * x % mod;
    }
    return r;
}
////////////////////
/// template end ///
////////////////////
void solve()
{
    READ(string, N, M);
    int n = N.back() - '0';
    if (n == 0 && M != "0")
    {
        WRITE(0);
        return;
    }
    auto lpf = GenLoopFunc([n](int x) -> int { return modPow(n, x, 10); }, 0);
    auto index = M.size() < 8 ? atoi(M.c_str()) : modDecimalString(M, lpf.len * 2) + lpf.len;
    WRITE(lpf(index));
}
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