#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, 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 vector& vec){for(int i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} 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{ long long start_, end_, step_; public: struct range_iterator{ long long val, step_; range_iterator(long long v, long long step) : val(v), step_(step) {} long long operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(long long len) : start_(0), end_(len), step_(1) {} range(long long start, long long end) : start_(start), end_(end), step_(1) {} range(long long start, long long end, long long step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; 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(int i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } 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; } #include tuple check(long long a, long long b, long long& x, long long& y, long long k){ tuple len = tuple {10000000,-1,-1}; for(x=-10000; x<=10000; x++){ long long rem = k - a*x; if(rem % b != 0) continue; y = rem / b; if(x == 0 && y== 0) continue; if( (abs(x) + abs(y)) * 2 - 1 > 10000) continue; len = min(len, tuple{ (abs(x) + abs(y)) * 2 - 1, x, y }); } x = get<1>(len); y = get<2>(len); return len; } long long logic_machine(long long x, long long y, string& s){ deque dq; for(auto i : range(s.size()) ){ if(s[i] == 'c') dq.push_back(x); else if(s[i] == 'w') dq.push_back(y); else if(s[i] == 'C'){ long long a = dq.back(); dq.pop_back(); long long b = dq.back(); dq.pop_back(); dq.push_back(a+b); }else if(s[i] == 'W'){ long long a = dq.back(); dq.pop_back(); long long b = dq.back(); dq.pop_back(); dq.push_back(a-b); }else{ abort(); } } if(dq.size() != 1) abort(); return dq.back(); } string solver(long long x, long long y, long long z){ if((x==0 || y==0) && z==0){ return ( x==0?"c" : "w"); } if(x==0 && y==0){ return ("mourennaihasimasenn"); } if(x==0){ if(z%y != 0){ return ("mourennaihasimasenn"); }else{ int k = z/y; if(2*k-1 <= 10000){ return ( "w"_s * k + "C"_s * (k-1) ); }else{ return ("mourennaihasimasenn"); } } return 0; } if(y==0){ assert("unko"_s == "unchi"_s); if(z%x != 0){ return ("mourennaihasimasenn"); }else{ int k = z/x; if(2*k-1 <= 10000){ return ( "c"_s * k + "C"_s * (k-1) ); }else{ return ("mourennaihasimasenn"); } } return 0; } long long u,v; auto l = check(x,y, u,v, z); eprintln( get<0>(l), get<1>(l), get<2>(l) ); // long long g = extgcd(x,y, u,v); // u *= z/g; // v *= z/g; if( u*x + y*v != z ){ return ("mourennaihasimasenn"); } if( (abs(u) + abs(v))*2 - 1 <= 10000 ){ string ans; if(u>0){ ans += "w"_s * abs(v); ans += "c"_s * abs(u); ans += "C"_s * (abs(u)-1); if(v>0){ ans += "C"_s * abs(v); }else{ ans += "W"_s * abs(v); } }else{ ans += "c"_s * abs(u); ans += "w"_s * abs(v); ans += "C"_s * (abs(v)-1); if(u>0){ ans += "C"_s * abs(u); }else{ ans += "W"_s * abs(u); } } long long val = logic_machine(x,y,ans); eprintln(val); assert(val == z); return (ans); }else{ return ("mourennaihasimasenn"); } } int main(){ long long x,y,z; cin >> x,y,z; auto ans1 = solver(x,y,z); auto ans2 = solver(y,x,z); if(ans1.size() > 10000){ ans1 = "mourennaihasimasenn"; } if(ans2.size() > 10000){ ans2 = "mourennaihasimasenn"; } for(auto& c : ans2){ if(c == 'c') c = 'w'; else if(c == 'w') c = 'c'; } if((ans1 != "mourennaihasimasenn" || ans2 != "mourennaihasimasenn") && (ans1 == "mourennaihasimasenn" || ans2 == "mourennaihasimasenn") ){ println(ans1 == "mourennaihasimasenn" ? ans2 : ans1); }else{ println( ans1.size() < ans2.size() ? ans1 : ans2); } return 0; }