#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} istream& operator >> (istream& is, __int128& x){ static char buff[100]; is >> buff; x = 0; size_t i = 0; if(buff[0] == '-') i++; for(; buff[i]; i++){ x *= 10; x += buff[i]-'0'; } if(buff[0] == '-') x *= -1; return is; } ostream& operator << (ostream& os, __int128 x){ if(x==0) return os << 0; string s; if(x<0){ os << "-"; x *= -1; } while(x!=0){ s += (x%10) + '0'; x /= 10; } reverse(s.begin(), s.end()); return os << s; } template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; long long gcd(long long a, long long b){ return (b==0)?a:gcd(b,a%b); } template long long gcd(long long a, long long b, T ... c){ return gcd(gcd(a,b), c...);} long long lcm(long long a, long long b){ if(a long long lcm(long long a, long long b, T ... c){ return lcm(lcm(a,b), c...);} long long extgcd(long long a, long long b, long long &x, long long &y){ long long d=a; if(b!=0){ d = extgcd(b, a%b, y, x); y -= (a/b) * x; }else{ x = 1; y = 0; } return d; } long long mod_inverse(long long a, long long m){ long long x,y; extgcd(a,m,x,y); return (m+x%m)%m; } template vector< vector > multmat(const vector > &A, const vector> &B, int n, int p, int m, T mod){ vector > C(n, vector(m,0)); for(int i=0; i vector< vector > mat_pow(vector > A, long long k, T mod){ int n = A.size(); vector > ret(n, vector(n, 0) ); for(int i=0; i0){ if(k&1) ret = multmat(A,ret, n,n,n, mod); A = multmat(A,A, n,n,n, mod); k>>=1; } return ret; } template T Chinese_Remainder_Theorem_Garner(vector x, vector y, T MOD){ int N = x.size(); bool valid = true; //前処理 //gcd(Yi,Yj) == 1 (i!=j) でなくてはならないので、 //共通の因数 g = gcd(Yi,Yj) を見つけたら片側に寄せてしまう for(int i=0; i z(N); for(int i=0; i> n; if(n==1){ println(1); println(1); return 0; } vector> A = { {100, 1}, { 0, 1} }; auto AA = A; vector M = { 11, 23, 4093, 8779, 21649, 513239, mod }; vector>> B(M.size()); for(int i=0; i C(M.size()); for(int i=0; i> MOOOD; __int128 c = Chinese_Remainder_Theorem_Garner<__int128>(C, M, MOOOD); println( c ); return 0; }