#include using namespace std; using LL = long long int; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define dec(i, n) decID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec1(i, n) decII(i, 1, n) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define MT make_tuple #define FI first #define SE second #define FR front() #define BA back() #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); }; auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); }; auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); }; auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); }; #define SI(v) static_cast(v.size()) #define RF(e, v) for(auto & e: v) #define until(e) while(! (e)) #define if_not(e) if(! (e)) #define ef else if #define UR assert(false) // 以下、入出力関係のテンプレ案のテスト auto * IS = & cin; // input elements (as a tuple) template void in_(U & t) { } template void in_(U & t) { (* IS) >> get(t); in_(t); } template auto in() { tuple t; in_, 0, T ...>(t); return t; } // input an array template auto ain() { array a; inc(i, N) { (* IS) >> a[i]; } return a; } // input a (multi-dimensional) vector template T vin() { return * istream_iterator(* IS); } template auto vin(N n, M ... m) { vector(m ...))> v(n); inc(i, n) { v[i] = vin(m ...); } return v; } // input multi-column (as a tuple of vector) template void colin_(U & t) { } template void colin_(U & t) { get(t).emplace_back(* istream_iterator(* IS)); colin_(t); } template auto colin(int n) { tuple ...> t; inc(i, n) { colin_ ...>, 0, T ...>(t); } return t; } auto * OS = & cout; string SP = " ", LN = "\n"; // output elements void out() { (* OS) << LN << flush; } template void out(A && a ) { (* OS) << a ; out( ); } template void out(A && a, B && ... b) { (* OS) << a << SP; out(b ...); } // output a (multi-dimensional) vector template ostream & operator<<(ostream & os, vector const & v) { inc(i, v.size()) { os << (i == 0 ? "" : SP) << v[i]; } return os << flush; } template void vout_(T && v) { (* OS) << v; } template void vout_(T && v, A a, B ... b) { for(auto && w: v) { vout_(w, b ...); (* OS) << a; } } template void vout(T && v, A ... a) { vout_(v, a ...); out(); } // ---- ---- template struct Matrix { vector> v; Matrix(T t) { init(); inc(i, N) { v[i][i] = t; } } Matrix(vector> const & w = { }) { init(w); } void init(vector> const & w = { }) { v = vector>(N, vector(N, 0)); assert(w.size() <= N); inc(i, w.size()) { assert(w[i].size() <= N); inc(j, w[i].size()) { v[i][j] = w[i][j]; } } } vector const & operator[](int i) const { return v[i]; } vector & operator[](int i) { return v[i]; } friend Matrix operator+(Matrix const & a, Matrix const & b) { Matrix c; inc(i, N) { inc(j, N) { c[i][j] = a[i][j] + b[i][j]; } } return c; } friend Matrix operator-(Matrix const & a, Matrix const & b) { Matrix c; inc(i, N) { inc(j, N) { c[i][j] = a[i][j] - b[i][j]; } } return c; } friend Matrix operator*(Matrix const & a, Matrix const & b) { Matrix c; inc(i, N) { inc(j, N) { inc(k, N) { c[i][j] += a[i][k] * b[k][j]; } } } return c; } friend Matrix operator^(Matrix const & a, LL b) { Matrix c(1), e = a; assert(b >= 0); while(b) { if(b & 1) { c *= e; } e *= e; b >>= 1; } return c; } friend Matrix & operator+=(Matrix & a, Matrix const & b) { return (a = a + b); } friend Matrix & operator-=(Matrix & a, Matrix const & b) { return (a = a - b); } friend Matrix & operator*=(Matrix & a, Matrix const & b) { return (a = a * b); } friend Matrix & operator^=(Matrix & a, LL b) { return (a = a ^ b); } friend ostream & operator<<(ostream & os, Matrix const & m) { inc(i, N) { inc(j, N) { os << m[i][j] << " "; } os << endl; } return os; } }; // ---- int main() { auto [a, b, c, d, e, f] = ain(); int det = a * e - b * d; Matrix A = { { { e, -b }, { -d, a } } }, V = { { { c, 0 }, { f, 0 } } }; auto ans = (A * V); double D = (det == 0 ? 1 : det); out(ans[0][0] / D, ans[1][0] / D); }