#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 dfs_sum(vector<__int128>& len, vector<__int128>& sum, long long l, bool rev){ if(l == 0) return 0; long long k = 0; while( len[k+1] <= l ) k++; long long ret = sum[k]; long long ll = len[k]; k++; stringstream ss; ss << k*k; string tmp = ss.str(); if(rev) reverse(tmp.begin(), tmp.end()); for(int i=0; i& len, vector<__int128>& pro, long long l, bool rev){ long long k = 0; while( len[k+1] <= l ) k++; long long ret = pro[k]; long long ll = len[k]; k++; stringstream ss; ss << k*k; string tmp = ss.str(); if(rev) reverse(tmp.begin(), tmp.end()); for(int i=0; i> k,l,r; k = min(61LL, k); vector<__int128> len(k+1, 0); len[0] = 0; for(long long i=1; i sum(k+1, 0); vector<__int128> pro(k+1, 1); for(long long i=1; ilen.back() ){ println(-1); return 0; } l--; long long ans_sum = sum[k]; if(l!=0) ans_sum -= dfs_sum(len,sum, l, false); if(r!=len[k]) ans_sum -= dfs_sum(len,sum, len[k]-r, true); long long ans_pro = pro[k]; if(l!=0) (ans_pro *= my_pow_mod( dfs_pro(len,pro, l, false) , mod-2, mod)) %= mod; if(r!=len[k]) (ans_pro *= my_pow_mod( dfs_pro(len,pro, len[k]-r, true) , mod-2, mod)) %= mod; println(ans_sum, ans_pro); return 0; }