#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" bool valid(vector a){ int n = a.size(); repp(i,1,n-1){ if (abs(a[i-1] - a[i+1]) == a[i]) continue; return false; } return true; } void solve(){ int n = 2; vector fib = {1,0}; while (fib[n-1] < ll(1e14)){ fib.emplace_back(fib[n-1] + fib[n-2]); n++; } ll x, y, z; in(x,y,z); auto valid = [&](vector a){ int sz = a.size(); bool exz = false; repp(i,1,sz-1){ if (a[i] < 0) return false; if (abs(a[i-1] - a[i+1]) != a[i]) return false; if (a[i] == z){ exz = true; } } return (a[0] == x && a[sz-1] == y && exz); }; auto say = [&](vector a){ if (a.empty()){ out(-1); return ; } assert(valid(a)); out(a.size()); out(a); }; vector ans; auto upd = [&](vector a){ if (!valid(a)) return ; if (ans.empty()){ ans = a; } else if (ans.size() > a.size()){ ans = a; } }; upd({x,z,y}); upd({x,0,z,y}); upd({x,z,z,y}); auto begin_end = [&](ll begin, ll end){ vector> ret; for (int len = 2; len < n; len++){ ll p = end - fib[len-1]*begin; if (p < 0) break; if (p % fib[len] != 0) continue; p /= fib[len]; vector ri(len); ri[0] = begin; ri[1] = p; repp(i,2,len){ ri[i] = ri[i-1] + ri[i-2]; } assert(ri[len-1] == end); ret.emplace_back(ri); } return ret; }; for (auto ri : begin_end(z,y)){ int many = n; while (ri.front() >= 0){ if (many-- == 0) break; for (auto le : begin_end(ri.front(),x)){ auto cur = le; reverse(all(cur)); cur.pop_back(); cur.insert(cur.end(),all(ri)); upd(cur); } ri.insert(ri.begin(),ri[1]-ri[0]); } } for (auto le : begin_end(z,x)){ int many = n; while (le.front() >= 0){ if (many-- == 0) break; for (auto ri : begin_end(le.front(),y)){ auto cur = le; reverse(all(cur)); cur.pop_back(); cur.insert(cur.end(),all(ri)); upd(cur); } le.insert(le.begin(),le[1]-le[0]); } } for (auto tot : begin_end(x,y)){ upd(tot); } say(ans); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }