#include <bits/stdc++.h> using namespace std; #define e1 first #define e2 second #define pb push_back #define mp make_pair #define boost ios_base::sync_with_stdio(false) #define eb emplace_back typedef long long ll; typedef unsigned long long ull; typedef pair <int, int> PII; typedef pair <ll, ll> PLL; typedef pair <PLL, PLL> PP; typedef unsigned int ui; const int mod = 1e9+7; const int inf = 1e9+9; const ll MOD = 1e9+696969; const ll INF = 1e18; inline ll pomnoz(ull a, ull b, ull mod) { a %= mod; b %= mod; ull ret = 0; while (b) { if (b & 1) ret += a; while (ret >= mod) ret -= mod; a<<=1; while (a >= mod) a -= mod; b>>=1; } return ret; } inline PP multiply(PP a, PP b, ll mod) { PP help; help.e1.e1 = (pomnoz(a.e1.e1, b.e1.e1, mod) + pomnoz(a.e1.e2, b.e2.e1, mod))%mod; help.e2.e2 = (pomnoz(a.e2.e2, b.e2.e2, mod) + pomnoz(a.e2.e1, b.e1.e2, mod))%mod; help.e1.e2 = (pomnoz(a.e1.e1, b.e1.e2, mod) + pomnoz(a.e1.e2, b.e2.e2, mod))%mod; help.e2.e1 = (pomnoz(a.e2.e1, b.e1.e1, mod) + pomnoz(a.e2.e2, b.e2.e1, mod))%mod; return help; } inline ll fib(ll pot, ll mod) { PP start = mp(mp(1, 0), mp(0, 0)); PP a = mp(mp(1, 1), mp(1, 0)); if (pot == 0) return 0; --pot; while (pot) { if (pot & 1) start = multiply(start, a, mod); a = multiply(a, a, mod); pot >>= 1; } return start.e1.e1 % mod; } inline int dl(ll x) { int ret =0 ; while (x) x /= 10, ++ret; return ret; } ll reszty[20], cykle[20]; ll n; int DDD(ll k) { if (k > 88) return 100; else return dl(fib(k, INF)); } bool check(ll k, ll mod) { ll liczba = fib(k, mod) % mod; if (liczba == reszty[dl(mod) - 1]) return true; return false; } ll POT[20]; string s; ll liczbuj(string x) { int len = x.length(); ll r = 0; for (int i=0; i<len; ++i) r = (r << 1) + (r << 3) + x[i] - '0'; return r; } int main() { POT[0] = 1; cin >> s; int sz = s.length(); n = liczbuj(s); ll pot = 1; for (int i=1; i<=18; ++i) { pot *= 10; POT[i] = pot; reszty[i] = (n % pot); } cykle[1] = 60; cykle[2] = 300; cykle[3] = 1500; for (int i=4; i<=18; ++i) cykle[i] = cykle[i-1] * 10; vector <ll> akt; akt.clear(); for (int i=1; i<=60; ++i) if (check(i, 10)) akt.push_back(i); if (sz == 1) { if (akt.size() == 0) puts("NIE"), exit(0); else printf("150000000000000000000%lld", akt[0]), exit(0); } for (int i=2; i<=sz; ++i) { ll ile = cykle[i] / cykle[i-1]; vector <ll> nowy; nowy.clear(); for (ui j=0; j<akt.size(); ++j) { ll N = akt[j]; for (ll K = 0; K < ile; ++K) if (check(K * cykle[i - 1] + N, POT[i])) { if (i == sz) { ll R = K * cykle[i-1] + N; printf("150000000000000000000%lld", R), exit(0); } else nowy.pb(K * cykle[i - 1] + N); } } akt.clear(); for (ui i=0; i<nowy.size(); ++i) akt.pb(nowy[i]); } puts("NIE"); }
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 | #include <bits/stdc++.h> using namespace std; #define e1 first #define e2 second #define pb push_back #define mp make_pair #define boost ios_base::sync_with_stdio(false) #define eb emplace_back typedef long long ll; typedef unsigned long long ull; typedef pair <int, int> PII; typedef pair <ll, ll> PLL; typedef pair <PLL, PLL> PP; typedef unsigned int ui; const int mod = 1e9+7; const int inf = 1e9+9; const ll MOD = 1e9+696969; const ll INF = 1e18; inline ll pomnoz(ull a, ull b, ull mod) { a %= mod; b %= mod; ull ret = 0; while (b) { if (b & 1) ret += a; while (ret >= mod) ret -= mod; a<<=1; while (a >= mod) a -= mod; b>>=1; } return ret; } inline PP multiply(PP a, PP b, ll mod) { PP help; help.e1.e1 = (pomnoz(a.e1.e1, b.e1.e1, mod) + pomnoz(a.e1.e2, b.e2.e1, mod))%mod; help.e2.e2 = (pomnoz(a.e2.e2, b.e2.e2, mod) + pomnoz(a.e2.e1, b.e1.e2, mod))%mod; help.e1.e2 = (pomnoz(a.e1.e1, b.e1.e2, mod) + pomnoz(a.e1.e2, b.e2.e2, mod))%mod; help.e2.e1 = (pomnoz(a.e2.e1, b.e1.e1, mod) + pomnoz(a.e2.e2, b.e2.e1, mod))%mod; return help; } inline ll fib(ll pot, ll mod) { PP start = mp(mp(1, 0), mp(0, 0)); PP a = mp(mp(1, 1), mp(1, 0)); if (pot == 0) return 0; --pot; while (pot) { if (pot & 1) start = multiply(start, a, mod); a = multiply(a, a, mod); pot >>= 1; } return start.e1.e1 % mod; } inline int dl(ll x) { int ret =0 ; while (x) x /= 10, ++ret; return ret; } ll reszty[20], cykle[20]; ll n; int DDD(ll k) { if (k > 88) return 100; else return dl(fib(k, INF)); } bool check(ll k, ll mod) { ll liczba = fib(k, mod) % mod; if (liczba == reszty[dl(mod) - 1]) return true; return false; } ll POT[20]; string s; ll liczbuj(string x) { int len = x.length(); ll r = 0; for (int i=0; i<len; ++i) r = (r << 1) + (r << 3) + x[i] - '0'; return r; } int main() { POT[0] = 1; cin >> s; int sz = s.length(); n = liczbuj(s); ll pot = 1; for (int i=1; i<=18; ++i) { pot *= 10; POT[i] = pot; reszty[i] = (n % pot); } cykle[1] = 60; cykle[2] = 300; cykle[3] = 1500; for (int i=4; i<=18; ++i) cykle[i] = cykle[i-1] * 10; vector <ll> akt; akt.clear(); for (int i=1; i<=60; ++i) if (check(i, 10)) akt.push_back(i); if (sz == 1) { if (akt.size() == 0) puts("NIE"), exit(0); else printf("150000000000000000000%lld", akt[0]), exit(0); } for (int i=2; i<=sz; ++i) { ll ile = cykle[i] / cykle[i-1]; vector <ll> nowy; nowy.clear(); for (ui j=0; j<akt.size(); ++j) { ll N = akt[j]; for (ll K = 0; K < ile; ++K) if (check(K * cykle[i - 1] + N, POT[i])) { if (i == sz) { ll R = K * cykle[i-1] + N; printf("150000000000000000000%lld", R), exit(0); } else nowy.pb(K * cykle[i - 1] + N); } } akt.clear(); for (ui i=0; i<nowy.size(); ++i) akt.pb(nowy[i]); } puts("NIE"); } |