#pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ALL(x) (x).begin(), (x).end() #define PPC(x) __builtin_popcountll(x) #define MSB(x) (63 - __builtin_clzll(x)) #define LSB(x) __builtin_ctzll(x) #define ARG(x, i) (get<i>(x)) #define ithBit(m, i) ((m) >> (i) & 1) #define pb push_back #define ft first #define sd second #define kw(a) ((a) * (a)) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; #define dbg(...) 0 template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); } const int maxN = 1 << 12, INF = 1 << 30; string stringExpSummand(const string& T, long long n) // p | n => p < 10 { if (n == 1ll) return T; int brackets = 0; string ret {""}; FORD(d, 9, 1) { for (; n % d == 0; n /= d) ret += std::to_string(d) + "[", brackets++; } assert(n == 1ll); if (SZ(T) == 1) ret.pop_back(), brackets--; ret += T + string(brackets, ']'); return ret; } auto breakIntoSummands(long long n) // n > 0 { vector <long long> ret {}; long long pow9 = 1ll; for (; n != 0; n /= 9) { int d = n % 9; if (d != 0) ret.pb(pow9 * d); pow9 *= 9; } return ret; } string stringExp(const string& T, long long n) // n > 0 { string ret {""}; for (auto s : breakIntoSummands(n)) ret += stringExpSummand(T, s); return ret; } string getTwoRows(long long n, string& a, string& b, string& c, string& d) // n > 0 { if (n == 1ll) return a; else return a + stringExp(b + a, n-1) + c + stringExp(d + c, n-2); } string combine(int digit, string& a, string& b, string& c, string& d) // 0 <= d <= 9 { string ret {""}; for (; digit > 0; digit -= 2) ret += getTwoRows(1ll * digit, a, b, c, d); return ret; } auto genWords(long long n, string& upperFull, string& lowerFull, string& upPart, string& lowPart) { auto uf = combine(n, upperFull, lowerFull, upPart, lowPart); auto lf = combine(n, lowerFull, upperFull, lowPart, upPart); auto up = combine(n, upPart, lowPart, upperFull, lowerFull); auto lp = combine(n, lowPart, upPart, lowerFull, upperFull); return tuple <string, string, string, string> (uf, lf, up, lp); } pair <long long, long long> getStep(long long n) { if (n < 10) return {n, n+1}; long long s = 0; while (s < n) { FORD(d, 9, 1) if ((n - s) % d == 0) return {s, d}; s += 2; } return {n, n+1}; } void solve() { long long n; scanf ("%lld", &n); string A {"AE"}; string B {"AC"}; string C {"E"}; string D {"C"}; string suf = stringExp(D, n); string res {""}; while (n > 0) { auto [s, d] = getStep(n); for (; s > 0; s -= 2) { res += getTwoRows(n, A, B, C, D); n -= 2; } if (n > 9) { assert(n % d == 0); tie(A, B, C, D) = genWords(d, A, B, C, D); n /= d; } } res += suf; printf("%s\n", res.c_str()); // std::cerr << "[" << SZ(res) << "]\n"; } int main() { int t = 1; //scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ALL(x) (x).begin(), (x).end() #define PPC(x) __builtin_popcountll(x) #define MSB(x) (63 - __builtin_clzll(x)) #define LSB(x) __builtin_ctzll(x) #define ARG(x, i) (get<i>(x)) #define ithBit(m, i) ((m) >> (i) & 1) #define pb push_back #define ft first #define sd second #define kw(a) ((a) * (a)) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; #define dbg(...) 0 template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); } const int maxN = 1 << 12, INF = 1 << 30; string stringExpSummand(const string& T, long long n) // p | n => p < 10 { if (n == 1ll) return T; int brackets = 0; string ret {""}; FORD(d, 9, 1) { for (; n % d == 0; n /= d) ret += std::to_string(d) + "[", brackets++; } assert(n == 1ll); if (SZ(T) == 1) ret.pop_back(), brackets--; ret += T + string(brackets, ']'); return ret; } auto breakIntoSummands(long long n) // n > 0 { vector <long long> ret {}; long long pow9 = 1ll; for (; n != 0; n /= 9) { int d = n % 9; if (d != 0) ret.pb(pow9 * d); pow9 *= 9; } return ret; } string stringExp(const string& T, long long n) // n > 0 { string ret {""}; for (auto s : breakIntoSummands(n)) ret += stringExpSummand(T, s); return ret; } string getTwoRows(long long n, string& a, string& b, string& c, string& d) // n > 0 { if (n == 1ll) return a; else return a + stringExp(b + a, n-1) + c + stringExp(d + c, n-2); } string combine(int digit, string& a, string& b, string& c, string& d) // 0 <= d <= 9 { string ret {""}; for (; digit > 0; digit -= 2) ret += getTwoRows(1ll * digit, a, b, c, d); return ret; } auto genWords(long long n, string& upperFull, string& lowerFull, string& upPart, string& lowPart) { auto uf = combine(n, upperFull, lowerFull, upPart, lowPart); auto lf = combine(n, lowerFull, upperFull, lowPart, upPart); auto up = combine(n, upPart, lowPart, upperFull, lowerFull); auto lp = combine(n, lowPart, upPart, lowerFull, upperFull); return tuple <string, string, string, string> (uf, lf, up, lp); } pair <long long, long long> getStep(long long n) { if (n < 10) return {n, n+1}; long long s = 0; while (s < n) { FORD(d, 9, 1) if ((n - s) % d == 0) return {s, d}; s += 2; } return {n, n+1}; } void solve() { long long n; scanf ("%lld", &n); string A {"AE"}; string B {"AC"}; string C {"E"}; string D {"C"}; string suf = stringExp(D, n); string res {""}; while (n > 0) { auto [s, d] = getStep(n); for (; s > 0; s -= 2) { res += getTwoRows(n, A, B, C, D); n -= 2; } if (n > 9) { assert(n % d == 0); tie(A, B, C, D) = genWords(d, A, B, C, D); n /= d; } } res += suf; printf("%s\n", res.c_str()); // std::cerr << "[" << SZ(res) << "]\n"; } int main() { int t = 1; //scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; } |