#include <cstdio> #include <cstdlib> #include <string> unsigned long long int pow(unsigned long long int base, unsigned long long int exp) { unsigned long long ret = base; for(unsigned long long int i = 2; i <= exp; i++) { ret *= base; } return ret; } unsigned int bit(unsigned long long int base) { unsigned long long int b = 0x8000000000000000ll; int ret = 63; while(b >= 0) { if(base & b) return ret; ret--; b/=2; } return 0; } unsigned long long int mod(unsigned long long k, unsigned long long n) { if(n >= 63) return k; for(unsigned long long int i = 63; i >= n; i--) { unsigned long long int mask = 1ll << i; k &= ~mask; } return k; } int main(int argc, char *argv[]) { unsigned long long int n, k; scanf("%llu %llu", &n, &k); std::string ret; if(n < 62) // (3 * (2^62 - 1)) = 13835058055282163709 > 10^18 { unsigned long long int len = 3ll * (pow(2ll, n) - 1ll); if(len < k) { printf("NIE"); return 0; } } char letter = 0; unsigned long long int bit_k = bit(k); if(bit_k <= n - 1ll) { k -= 1ll; letter = 'a'; } else { bit_k = bit(k + 1ll); if(bit_k <= n) letter = 'b'; else { letter = 'c'; k += 1ll; } } ret += letter; unsigned long long int k_mod = k; while(n > 1) { k_mod = mod(k_mod, n); if(k_mod == 0) { printf("%s", ret.c_str()); return 0; } unsigned long long int bit_mod = bit(k_mod); if(bit_mod < n - 1ll) { letter = (letter == 'a' ? 'b' : 'a'); k_mod -= 1ll; } else { letter = (letter == 'c' ? 'b' : 'c'); } ret += letter; n -= 1ll; } printf("%s", ret.c_str()); 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 | #include <cstdio> #include <cstdlib> #include <string> unsigned long long int pow(unsigned long long int base, unsigned long long int exp) { unsigned long long ret = base; for(unsigned long long int i = 2; i <= exp; i++) { ret *= base; } return ret; } unsigned int bit(unsigned long long int base) { unsigned long long int b = 0x8000000000000000ll; int ret = 63; while(b >= 0) { if(base & b) return ret; ret--; b/=2; } return 0; } unsigned long long int mod(unsigned long long k, unsigned long long n) { if(n >= 63) return k; for(unsigned long long int i = 63; i >= n; i--) { unsigned long long int mask = 1ll << i; k &= ~mask; } return k; } int main(int argc, char *argv[]) { unsigned long long int n, k; scanf("%llu %llu", &n, &k); std::string ret; if(n < 62) // (3 * (2^62 - 1)) = 13835058055282163709 > 10^18 { unsigned long long int len = 3ll * (pow(2ll, n) - 1ll); if(len < k) { printf("NIE"); return 0; } } char letter = 0; unsigned long long int bit_k = bit(k); if(bit_k <= n - 1ll) { k -= 1ll; letter = 'a'; } else { bit_k = bit(k + 1ll); if(bit_k <= n) letter = 'b'; else { letter = 'c'; k += 1ll; } } ret += letter; unsigned long long int k_mod = k; while(n > 1) { k_mod = mod(k_mod, n); if(k_mod == 0) { printf("%s", ret.c_str()); return 0; } unsigned long long int bit_mod = bit(k_mod); if(bit_mod < n - 1ll) { letter = (letter == 'a' ? 'b' : 'a'); k_mod -= 1ll; } else { letter = (letter == 'c' ? 'b' : 'c'); } ret += letter; n -= 1ll; } printf("%s", ret.c_str()); return 0; } |