//////////////////////////////////////// /// 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 _Reader operator ,(T &rhs) { cin >> rhs; return *this; } }; struct _Writer { _Writer(ostream &cout) :cout(cout) {} ostream &cout; bool f{ false }; template _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 struct vevector : public vector> { vevector(int n = 0, int m = 0, const T &initial = T()) : vector>(n, vector(m, initial)) { } }; template struct vevevector : public vector> { vevevector(int n = 0, int m = 0, int l = 0, const T &initial = T()) : vector>(n, vevector(m, l, initial)) { } }; template struct vevevevector : public vector> { vevevevector(int n = 0, int m = 0, int l = 0, int k = 0, const T &initial = T()) : vector>(n, vevevector(m, l, k, initial)) { } }; namespace std { template inline istream & operator >> (istream & in, pair &p) { in >> p.first >> p.second; return in; } template inline ostream & operator << (ostream &out, const pair &p) { out << p.first << " " << p.second; return out; } } template T read() { T t; cin >> t; return t; } template vector read(int n) { vector v; REP(i, n) { v.push_back(read()); } return v; } template vevector read(int n, int m) { vevector v; REP(i, n) v.push_back(read(m)); return v; } template vector readjag() { return read(read()); } template vevector readjag(int n) { vevector v; REP(i, n) v.push_back(readjag()); return v; } template struct iter_pair_t { T beg, end; }; template iter_pair_t iter_pair(T beg, T end) { return iter_pair_t{beg, end}; } template ostream & operator << (ostream &out, const iter_pair_t &v) { if (v.beg != v.end) { out << ++v.beg; while (v.beg != v.end) { out << " " << ++v.beg; } } return out; } template ostream & operator << (ostream &out, const vector &v) { return out << iter_pair(begin(v), end(v)); } // -- etc -- // template T infinity_value(); #define DEFINE_INFINITY_VALUE(T, val) template <> constexpr T infinity_value() { 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() inline int sign_of(double x) { return (abs(x) < EPS ? 0 : x > 0 ? 1 : -1); } template bool in_range(TInt val, TInt min, TInt max) { return val >= min && val < max; } template <> bool in_range(double val, double min, double max) { return val - min > -EPS && val - max < EPS; } template <> bool in_range(float val, float min, float max) { return val - min > -EPS && val - max < EPS; } template bool in_range2d(TInt x, TInt y, TInt w, TInt h) { return x >= 0 && x < w && y >= 0 && y < h; } vector iotavn(int start, int count) { vector 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::classic_table(); //vector::mask> ctable(classic_table, classic_table + ctype::table_size); //ctable[':'] |= ctype_base::space; // as delimitor //ctable[','] |= ctype_base::space; // as delimitor //cin.imbue(locale(cin.getloc(), new ctype(ctable.data()))); cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed; cout << setprecision(std::numeric_limits::max_digits10); solve(); return 0; } template auto GenLoopFunc(T func, int n0) { using Value = decltype(func(n0)); map 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)); }