#define LOCAL #include using namespace std; #pragma region Macros typedef long long ll; typedef __int128_t i128; typedef unsigned int uint; typedef unsigned long long ull; #define ALL(x) (x).begin(), (x).end() template istream& operator>>(istream& is, vector& v) { for (T& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (size_t i = 0; i < v.size(); i++) { os << v[i] << (i + 1 == v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const pair& p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream& operator<<(ostream& os, const map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const multiset& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const deque& v) { for (size_t i = 0; i < v.size(); i++) { os << v[i] << (i + 1 == v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const array& v) { for (size_t i = 0; i < N; i++) { os << v[i] << (i + 1 == N ? "" : " "); } return os; } template void print_tuple(ostream&, const T&) {} template void print_tuple(ostream& os, const T& t) { if (i) os << ','; os << get(t); print_tuple(os, t); } template ostream& operator<<(ostream& os, const tuple& t) { os << '{'; print_tuple<0, tuple, Args...>(os, t); return os << '}'; } void debug_out() { cerr << '\n'; } template void debug_out(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(Tail) > 0) cerr << ", "; debug_out(move(tail)...); } #ifdef LOCAL #define debug(...) \ cerr << " "; \ cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \ cerr << " "; \ debug_out(__VA_ARGS__) #else #define debug(...) void(0) #endif template T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; } template T lcm(T x, T y) { return x / gcd(x, y) * y; } int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); } int popcount(signed t) { return __builtin_popcount(t); } int popcount(long long t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } long long MSK(int n) { return (1LL << n) - 1; } template T ceil(T x, T y) { assert(y >= 1); return (x > 0 ? (x + y - 1) / y : x / y); } template T floor(T x, T y) { assert(y >= 1); return (x > 0 ? x / y : (x - y + 1) / y); } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } template void mkuni(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } template int lwb(const vector& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); } #pragma endregion const int INF = 1e9; const long long IINF = 1e18; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; const char dir[4] = {'D', 'R', 'U', 'L'}; const long long MOD = 1000000007; // const long long MOD = 998244353; int main() { cin.tie(0); ios::sync_with_stdio(false); ll a, b, c, d; cin >> a >> b >> c >> d; if (gcd(abs(a), abs(b)) != gcd(abs(c), abs(d))) { cout << -1 << '\n'; return 0; } if (a == 0 and b == 0) { assert(c == 0 and d == 0); cout << 0 << '\n'; return 0; } ll x = a, y = b; vector> ans; auto op = [&](int t, int k) { if (t == 1) x += 1LL * k * y; else y += 1LL * k * x; ans.emplace_back(t, k); }; auto ngswap = [&](int t) { // t = 1 : (x, y) -> (y, -x), t = 2 ; (x, y) -> (-y, x) op(t, 1); // (x + y, y) op(3 - t, -1); // (x + y, -x) op(t, 1); // (y, -x) }; if (x < 0) { ngswap(1); if (x < 0) ngswap(1); } else if (y < 0) ngswap(2); assert(x >= 0 and y >= 0); while (x > 0 and y > 0) { if (x > y) op(1, -(x / y)); else op(2, -(y / x)); } ll z = c, w = d; vector> ans2; auto op2 = [&](int t, int k) { if (t == 1) z += 1LL * k * w; else w += 1LL * k * z; ans2.emplace_back(t, k); }; auto ngswap2 = [&](int t) { // t = 1 : (x, y) -> (y, -x), t = 2 ; (x, y) -> (-y, x) op2(t, 1); // (x + y, y) op2(3 - t, -1); // (x + y, -x) op2(t, 1); // (y, -x) }; if (z < 0) { ngswap2(1); if (z < 0) ngswap2(1); } else if (w < 0) ngswap2(2); assert(z >= 0 and w >= 0); while (z > 0 and w > 0) { if (z > w) op2(1, -(z / w)); else op2(2, -(w / z)); }; if (x != z) { if (x > 0) { op(2, 1); op(1, -1); } else { op(1, 1); op(2, -1); } } reverse(ans2.begin(), ans2.end()); for (auto& p : ans2) op(p.first, -p.second); assert(x == c and y == d); cout << ans.size() << '\n'; for (auto& p : ans) cout << p.first << ' ' << p.second << '\n'; return 0; }