#include <bits/stdc++.h> using namespace std; #define INF 1010000000 #define EPS 1E-12 #define MP make_pair #define ST first #define ND second #define REP(i, n) for(int i = 0; i < (n); ++i) #define REPD(i, n) for(int i = (n) - 1; i >= 0; --i) #define FOR(i, a, n) for(int i = (a); i <= (n); ++i) #define FORD(i, a, n) for(int i = (a); i >= (n); --i) #define DD(x, args...) { vector<string> _v = _split(#args, ','); _err(x, _v.begin(), args); } #define D(args...) DD(", ", args) #define DE(args...) DD("\n", args) #define D2(a, args...) { cerr << a << ": "; D(args); } #define DD2(x, a, args...) { cerr << a << ": "; DD(x, args); } #define E cerr << endl; #define OUT(...) ostream &operator<<(ostream &ost, const __VA_ARGS__ &_cnt) { return _out(ost, ALL(_cnt)); } #define SZ(x) ((int)(x).size()) #define PB push_back #define EB emplace_back #define ALL(x) x.begin(), x.end() #define endl '\n' typedef long long LL; typedef unsigned long long ULL; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef pair<double, double> PDD; template<class c1> ostream &_out(ostream &ost, c1 a, c1 b); template<class T1, class T2> ostream &operator<<(ostream &ost, const pair<T1, T2> &_cnt); template<class T1> OUT(vector<T1>); template<class T1> OUT(deque<T1>); template<class T1> OUT(list<T1>); template<class T1, class T2> OUT(set<T1, T2>); template<class T1, class T2> OUT(multiset<T1, T2>); template<class T1, class T2, class T3> OUT(map<T1, T2, T3>); template<class T1, class T2, class T3> OUT(multimap<T1, T2, T3>); template<class T1, class T2> ostream &operator<<(ostream &ost, const pair<T1, T2> &_cnt) { return ost << '(' << _cnt.ST << ", " << _cnt.ND << ')'; } template<class T1> ostream &_out(ostream &ost, T1 a, T1 b) { ost << '{'; if(a != b) { ost << *a; while(++a != b) ost << ", " << *a; } return ost << '}'; } vector<string> _split(const string &s, char c) { int br = 0; vector<string> v(1); REP(i, SZ(s)) { if(s[i] == '[' || s[i] == '(' || s[i] == '{'/* || s[i] == '<'*/) br++; else if(s[i] == ']' || s[i] == ')' || s[i] == '}'/* || s[i] == '>'*/) br--; if(s[i] == c && br == 0) v.PB(""); else v.back().PB(s[i]); } return v; } template<class T1> void _err(string del, vector<string>::iterator it, T1 a) { bool wb = (*it)[0] == ' ', we = (*it).back() == ' '; cerr << it -> substr(wb, SZ(*it) - wb - we) << " = " << a << endl; (void)del; } template<class T1, class... Args> void _err(string del, vector<string>::iterator it, T1 a, Args... args) { bool wb = (*it)[0] == ' ', we = (*it).back() == ' '; cerr << it -> substr(wb, SZ(*it) - wb - we) << " = " << a << del; _err(del, ++it, args...); } ///////////////////////////////////////////////////////////////////// string getString(const vector<int> &v) { string ret(1, 'a' + v[0]); FOR(i, 1, SZ(v) - 1) { if(v[i] == 0) { if(ret[i - 1] == 'a') ret.PB('b'); else ret.PB('a'); } else { if(ret[i - 1] == 'c') ret.PB('b'); else ret.PB('c'); } } return ret; } int main() { ios::sync_with_stdio(0); cin.tie(0); int n; ULL k; cin >> n >> k; vector<ULL> v(n + 1); v[0] = 1; FOR(i, 1, n) { v[i] = min(2 * v[i - 1], 3000000000000000000ull); } if(k > 3 * v[n] - 3) { cout << "NIE" << endl; return 0; } vector<int> res; if(k > 2 * v[n] - 2) { k -= 2 * v[n] - 1; res.EB(2); } else if(k > v[n] - 1) { k -= v[n]; res.EB(1); } else { k -= 1; res.EB(0); } FORD(i, n - 1, 1) { if(k == 0) break; ULL st = v[i] - 1; if(k > st) { k -= v[i]; res.EB(1); } else { k -= 1; res.EB(0); } } cout << getString(res) << endl; return 0; } /* 3 7 111 ///// a ab aba abc ac aca acb b ba bab bac bc bca bcb c ca cab cac cb cba cbc ///// b ba bc c ca cb ///// */
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 | #include <bits/stdc++.h> using namespace std; #define INF 1010000000 #define EPS 1E-12 #define MP make_pair #define ST first #define ND second #define REP(i, n) for(int i = 0; i < (n); ++i) #define REPD(i, n) for(int i = (n) - 1; i >= 0; --i) #define FOR(i, a, n) for(int i = (a); i <= (n); ++i) #define FORD(i, a, n) for(int i = (a); i >= (n); --i) #define DD(x, args...) { vector<string> _v = _split(#args, ','); _err(x, _v.begin(), args); } #define D(args...) DD(", ", args) #define DE(args...) DD("\n", args) #define D2(a, args...) { cerr << a << ": "; D(args); } #define DD2(x, a, args...) { cerr << a << ": "; DD(x, args); } #define E cerr << endl; #define OUT(...) ostream &operator<<(ostream &ost, const __VA_ARGS__ &_cnt) { return _out(ost, ALL(_cnt)); } #define SZ(x) ((int)(x).size()) #define PB push_back #define EB emplace_back #define ALL(x) x.begin(), x.end() #define endl '\n' typedef long long LL; typedef unsigned long long ULL; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef pair<double, double> PDD; template<class c1> ostream &_out(ostream &ost, c1 a, c1 b); template<class T1, class T2> ostream &operator<<(ostream &ost, const pair<T1, T2> &_cnt); template<class T1> OUT(vector<T1>); template<class T1> OUT(deque<T1>); template<class T1> OUT(list<T1>); template<class T1, class T2> OUT(set<T1, T2>); template<class T1, class T2> OUT(multiset<T1, T2>); template<class T1, class T2, class T3> OUT(map<T1, T2, T3>); template<class T1, class T2, class T3> OUT(multimap<T1, T2, T3>); template<class T1, class T2> ostream &operator<<(ostream &ost, const pair<T1, T2> &_cnt) { return ost << '(' << _cnt.ST << ", " << _cnt.ND << ')'; } template<class T1> ostream &_out(ostream &ost, T1 a, T1 b) { ost << '{'; if(a != b) { ost << *a; while(++a != b) ost << ", " << *a; } return ost << '}'; } vector<string> _split(const string &s, char c) { int br = 0; vector<string> v(1); REP(i, SZ(s)) { if(s[i] == '[' || s[i] == '(' || s[i] == '{'/* || s[i] == '<'*/) br++; else if(s[i] == ']' || s[i] == ')' || s[i] == '}'/* || s[i] == '>'*/) br--; if(s[i] == c && br == 0) v.PB(""); else v.back().PB(s[i]); } return v; } template<class T1> void _err(string del, vector<string>::iterator it, T1 a) { bool wb = (*it)[0] == ' ', we = (*it).back() == ' '; cerr << it -> substr(wb, SZ(*it) - wb - we) << " = " << a << endl; (void)del; } template<class T1, class... Args> void _err(string del, vector<string>::iterator it, T1 a, Args... args) { bool wb = (*it)[0] == ' ', we = (*it).back() == ' '; cerr << it -> substr(wb, SZ(*it) - wb - we) << " = " << a << del; _err(del, ++it, args...); } ///////////////////////////////////////////////////////////////////// string getString(const vector<int> &v) { string ret(1, 'a' + v[0]); FOR(i, 1, SZ(v) - 1) { if(v[i] == 0) { if(ret[i - 1] == 'a') ret.PB('b'); else ret.PB('a'); } else { if(ret[i - 1] == 'c') ret.PB('b'); else ret.PB('c'); } } return ret; } int main() { ios::sync_with_stdio(0); cin.tie(0); int n; ULL k; cin >> n >> k; vector<ULL> v(n + 1); v[0] = 1; FOR(i, 1, n) { v[i] = min(2 * v[i - 1], 3000000000000000000ull); } if(k > 3 * v[n] - 3) { cout << "NIE" << endl; return 0; } vector<int> res; if(k > 2 * v[n] - 2) { k -= 2 * v[n] - 1; res.EB(2); } else if(k > v[n] - 1) { k -= v[n]; res.EB(1); } else { k -= 1; res.EB(0); } FORD(i, n - 1, 1) { if(k == 0) break; ULL st = v[i] - 1; if(k > st) { k -= v[i]; res.EB(1); } else { k -= 1; res.EB(0); } } cout << getString(res) << endl; return 0; } /* 3 7 111 ///// a ab aba abc ac aca acb b ba bab bac bc bca bcb c ca cab cac cb cba cbc ///// b ba bc c ca cb ///// */ |