#include <iostream> #include <string> #include <vector> #include <algorithm> #include <deque> using namespace std; #define LOG if (false) cerr #define INTERACTIVE true typedef long long ll; typedef unsigned long long ull; const ull INF = 1000000000000000009ull; const char digit2letter[] = { 'a', 'b', 'c' }; deque<ull> getDividers(int n, ull k) { deque<ull> dividers; if (n == 1) { dividers.push_back(1); } else { ull divider = 3; for (int i = 1; i < n; i++) { dividers.push_back(divider); divider = min(divider * 2 + 1, INF); } } reverse(dividers.begin(), dividers.end()); return dividers; } inline int getNextDigit(int previousDigit, int shift) { int nextDigit = (previousDigit + shift + 1) % 3; if (previousDigit == 1) { nextDigit = 2 - nextDigit; } return nextDigit; } string solveWhenExists(deque<ull>& dividers, int n, ull k) { string word; int shift, digit, previousDigit; ull pos; pos = k + 1; previousDigit = -1; for (ull divider : dividers) { pos--; shift = pos / divider; pos = pos % divider; digit = getNextDigit(previousDigit, shift); word += digit2letter[digit]; LOG << "pos=" << pos << ", shift=" << shift << ", digit=" << digit << endl; if (pos == 0) { break; } previousDigit = digit; } if (pos > 0) { shift = (pos - 1) % 2; digit = getNextDigit(previousDigit, shift); word += digit2letter[digit]; } return word; } string solve(int n, ull k) { k--; string word; auto dividers = getDividers(n, k); if (k / dividers.front() >= 3) { word = "NIE"; } else { word = solveWhenExists(dividers, n, k); } return word; } void test() { int n = 4; ull k; for (k = 1; k <= 47; k++) { cout << endl << "n=" << n << ", k=" << k << endl << solve(n, k); } } void run() { int n; ull k; cin >> n >> k; string result = solve(n, k); cout << result; } int main() { if (INTERACTIVE) { run(); } else { test(); } return 0; }
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 | #include <iostream> #include <string> #include <vector> #include <algorithm> #include <deque> using namespace std; #define LOG if (false) cerr #define INTERACTIVE true typedef long long ll; typedef unsigned long long ull; const ull INF = 1000000000000000009ull; const char digit2letter[] = { 'a', 'b', 'c' }; deque<ull> getDividers(int n, ull k) { deque<ull> dividers; if (n == 1) { dividers.push_back(1); } else { ull divider = 3; for (int i = 1; i < n; i++) { dividers.push_back(divider); divider = min(divider * 2 + 1, INF); } } reverse(dividers.begin(), dividers.end()); return dividers; } inline int getNextDigit(int previousDigit, int shift) { int nextDigit = (previousDigit + shift + 1) % 3; if (previousDigit == 1) { nextDigit = 2 - nextDigit; } return nextDigit; } string solveWhenExists(deque<ull>& dividers, int n, ull k) { string word; int shift, digit, previousDigit; ull pos; pos = k + 1; previousDigit = -1; for (ull divider : dividers) { pos--; shift = pos / divider; pos = pos % divider; digit = getNextDigit(previousDigit, shift); word += digit2letter[digit]; LOG << "pos=" << pos << ", shift=" << shift << ", digit=" << digit << endl; if (pos == 0) { break; } previousDigit = digit; } if (pos > 0) { shift = (pos - 1) % 2; digit = getNextDigit(previousDigit, shift); word += digit2letter[digit]; } return word; } string solve(int n, ull k) { k--; string word; auto dividers = getDividers(n, k); if (k / dividers.front() >= 3) { word = "NIE"; } else { word = solveWhenExists(dividers, n, k); } return word; } void test() { int n = 4; ull k; for (k = 1; k <= 47; k++) { cout << endl << "n=" << n << ", k=" << k << endl << solve(n, k); } } void run() { int n; ull k; cin >> n >> k; string result = solve(n, k); cout << result; } int main() { if (INTERACTIVE) { run(); } else { test(); } return 0; } |