#include #define ls(k) k << 1 #define rs(k) k << 1 | 1 #define fi first #define se second #define add(x, y) ((x + y >= mod) ? (x + y - mod) : (x + y)) #define dec(x, y) ((x - y < 0) ? (x - y + mod) : (x - y)) #define popcnt(x) __builtin_popcount(x) #define open(s1, s2) freopen(s1, "r", stdin), freopen(s2, "w", stdout); using namespace std; typedef __int128 __; typedef long double lb; typedef long double db; typedef unsigned long long ull; typedef long long ll; bool Begin; inline ll read(){ ll x = 0, f = 1; char c = getchar(); while(c < '0' || c > '9'){ if(c == '-') f = -1; c = getchar(); } while(c >= '0' && c <= '9'){ x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } return x * f; } inline void write(ll x){ if(x < 0){ putchar('-'); x = -x; } if(x > 9) write(x / 10); putchar(x % 10 + '0'); } mt19937 R(time(0)); int q; db p; inline db get(vector A){ db ans = 0; for(auto v : A) ans += sqrt(v); return ans; } inline vector get(db X){ db eps = 5e-5; vector>> T1, T2; db T = X / 8.0; while(T1.size() < 100){ // cerr << x << '\n'; // sqrt a + sqrt b - T <= eps ll a = R() % ((ll)(T * T)); db sb = T - sqrt(a); for(int i = 0; i <= 1; ++i) if(fabs(sqrt(a) + sqrt((ll)(sb * sb) + i) - T) < 5e-5) T1.push_back({sqrt(a) + sqrt((ll)(sb * sb) + i), {a, (ll)(sb * sb) + i}}); } for(int cas = 1; cas <= 3; ++cas){ eps *= 1e-2; T *= 2; T2.clear(); for(auto x : T1){ for(auto y : T1){ if(fabs(x.fi + y.fi - T) <= eps){ pair> t = {x.fi + y.fi, x.se}; for(auto v : y.se) t.se.push_back(v); T2.push_back(t); } } } T1 = T2; } if(T1.empty()) return {}; return T1[0].se; } inline void solve(){ vector ans; scanf("%Lf", &p); while(1){ ans = get(p); if(ans.size()) break; } write(ans.size()); putchar(' '); for(auto v : ans){ write(v); putchar(' '); } putchar('\n'); // printf("%.10Lf\n", get(ans)); } bool End; int main(){ // open("squareroot.in", "squareroot.out"); q = read(); while(q--) solve(); //cerr << '\n' << abs(&Begin - &End) / 1048576 << "MB"; return 0; }