#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define ll long long #define MOD 998244353 #define ld long double #define INF 2251799813685248 #define vall(A) A.begin(),A.end() #define gridinput(vv,H,W) for (ll i = 0; i < H; i++){string T; cin >> T; for(ll j = 0; j < W; j++){vv[i][j] = {T[j]};}} #define adjustedgridinput(vv,H,W) for (ll i = 1; i <= H; i++){string T; cin >> T; for(ll j = 1; j <= W; j++){vv[i][j] = {T[j-1]};}} #define vin(A) for (ll i = 0, sz = A.size(); i < sz; i++){cin >> A[i];} #define vout(A) for(ll i = 0, sz = A.size(); i < sz; i++){cout << A[i] << " \n"[i == sz-1];} #define adjustedvin(A) for (ll i = 1, sz = A.size(); i < sz; i++){cin >> A[i];} #define adjustedvout(A) for(ll i = 1, sz = A.size(); i < sz; i++){cout << A[i] << " \n"[i == sz-1];} #define vout2d(A,H,W) for (ll i = 0; i < H; i++){for (ll j = 0; j < W; j++){cout << A[i][j] << " \n"[j==W-1];}} #define encode(i,j) ((i)<<32)+j #define decode(v,w) (w ? (v)%4294967296 : (v)>>32) vector pow2ll{1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,262144,524288,1048576,2097152,4194304,8388608,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,2147483648,4294967296}; vector pow10ll{1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,10000000000,100000000000,1000000000000,10000000000000,100000000000000,1000000000000000,10000000000000000,100000000000000000,1000000000000000000}; vector di{0,1,0,-1}; vector dj{1,0,-1,0}; void solve(){ ll a,b,r1; ll c,d,r2; cin >> a >> b >> r1 >> c >> d >> r2; ld A = a, B = b, C = c, D = d, R1 = r1, R2 = r2;//各数字のlong double版を作成 ll L_squared = (c-a)*(c-a)+(d-b)*(d-b);//円の中心間距離の二乗 vector theta(4); if (d - b == 0){ theta[0] = acosl((R1+R2)/abs(C-A)); theta[1] = -theta[0]; theta[2] = acosl((R2-R1)/abs(C-A)); theta[3] = -theta[1]; } if (d - b > 0){ theta[0] = asinl((R1+R2)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[1] = M_PIl - asinl((R1+R2)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[2] = M_PIl + asinl((R2-R1)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[3] = 2*M_PIl - asinl((R2-R1)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); } if (d - b < 0){ theta[0] = M_PIl + asinl((R1+R2)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[1] = 2*M_PIl - asinl((R1+R2)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[2] = asinl((R2-R1)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); theta[3] = M_PIl - asinl((R2-R1)/sqrtl(L_squared)) - atanl((C-A)/(D-B)); } for (ll i = 0; i < 4; i++){ ld s = cosl(theta[i]); ld t = sinl(theta[i]); ld u = -R1 - B*sinl(theta[i]) - A*cosl(theta[i]); ld M = max(abs(s),max(abs(t),abs(u))); cout << s/M << " " << t/M << " " << u/M << "\n"; } } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); ll T; cin >> T; cout << fixed << setprecision(16); for (ll i = 0; i < T; i++){ solve(); } }