#include<bits/stdc++.h>
#ifdef LOCAL
#define debug(...) printf(__VA_ARGS__)
#define edebug(...) fprintf(stderr, __VA_ARGS__)
#else
#define debug(...)
#define edebug(...)
#endif
#define int ll
#define rep(i, x, y) for(int i = x; i <= y; ++i)
#define nrep(i, x, y) for(int i = x; i >= y; --i)
#define ll long long
#define pii std::pair<int,int>
#define pb emplace_back
#define fi first
#define se second
template <class T> 
inline void ckmax(T &a, T b) {
  if(a < b) a = b;
}
template <class T> 
inline void ckmin(T &a, T b) {
  if(a > b) a = b;
}
auto rt_YES = []{puts("YES");};
auto rt_Yes = []{puts("Yes");};
auto rt_NO = []{puts("NO");};
auto rt_No = []{puts("No");};
namespace IO {
#define isdigit(x) (x >= '0' && x <= '9')
  inline char gc() {
    return getchar();
  }
  inline bool blank(char ch) {
    return ch == ' ' || ch == '\n' || ch == '\r' || ch == '\t';
  }
  template <class T>
  inline void read(T &x) {
    double tmp = 1;
    bool sign = 0;
    x = 0;
    char ch = gc();
    for(; !isdigit(ch); ch = gc())
      if(ch == '-') sign = 1;
    for(; isdigit(ch); ch = gc())
      x = x * 10 + (ch - '0');
    if(ch == '.')
      for(ch = gc(); isdigit(ch); ch = gc())
        tmp /= 10.0, x += tmp * (ch - '0');
    if(sign) x = -x;
  }
  inline void read(char *s) {
    char ch = gc();
    for(; blank(ch); ch = gc());
    for(; !blank(ch); ch = gc())
      *s++ = ch;
    *s = 0;
  }
  inline void read(char &c) {
    for(c = gc(); blank(c); c = gc());
  }
  inline void push(const char &c) {
    putchar(c);
  }
  template <class T>
  inline void print(T x) {
    if(x < 0) {
      x = -x;
      push('-');
    }
    static T sta[35];
    T top = 0;
    do {
      sta[top++] = x % 10;
      x /= 10;
    } while(x);
    while(top)
      push(sta[--top] + '0');
  }
  template <class T>
  inline void print(T x, char lastChar) {
    print(x);
    push(lastChar);
  }
}
using namespace IO;

struct node{int x,y,z;double dis;}a[10];
int cnt=0;
void solve(){
  int x,y,z;read(x),read(y),read(z);
  if(!(x||y||z)){puts("0");return;}
  double X,Y,Z;
  cnt=0;
  if(x>=y&&x>=z){
    X=255;
    Y=255.0/x*y;
    Z=255.0/x*z;
    a[++cnt]={255,0,0,255};
    if(Y>Z){
      double T=(255-Y)/(255-Z)*255;
      a[++cnt]={255,255,0,255-T};
      a[++cnt]={255,255,255,sqrt(Z*Z+(Y+T-255)*(Y+T-255))};
    }
    else if(Z>Y){
      double T=(255-Z)/(255-Y)*255;
      a[++cnt]={255,0,255,255-T};
      a[++cnt]={255,255,255,sqrt(Y*Y+(Z+T-255)*(Z+T-255))};
    }
    else a[++cnt]={255,255,255,sqrt(Y*Y*2)};
    a[++cnt]={0,0,0,sqrt((X-x)*(X-x)+(Y-y)*(Y-y)+(Z-z)*(Z-z))};
  }else if(y>=x&&y>=z){
    X=255.0/y*x;
    Y=255.0;
    Z=255.0/y*z;
    a[++cnt]={0,255,0,255};
    if(X>Z){
      double T=(255-X)/(255-Z)*255;
      a[++cnt]={255,255,0,255-T};
      a[++cnt]={255,255,255,sqrt(Z*Z+(X+T-255)*(X+T-255))};
    }
    else if(Z>X){
      double T=(255-Z)/(255-X)*255;
      a[++cnt]={0,255,255,255-T};
      a[++cnt]={255,255,255,sqrt(Z*Z+(X+T-255)*(X+T-255))};
    }
    else a[++cnt]={255,255,255,sqrt(X*X*2)};
    a[++cnt]={0,0,0,sqrt((X-x)*(X-x)+(Y-y)*(Y-y)+(Z-z)*(Z-z))};
  }else{
    X=255.0/z*x;
    Y=255.0/z*y;
    Z=255.0;
    a[++cnt]={0,0,255,255};
    if(X>Y){
      double T=(255-X)/(255-Y)*255;
      a[++cnt]={255,0,255,255-T};
      a[++cnt]={255,255,255,sqrt(Y*Y+(X+T-255)*(X+T-255))};
    }
    else if(Y>X){
      double T=(255-Y)/(255-X)*255;
      a[++cnt]={0,255,255,255-T};
      a[++cnt]={255,255,255,sqrt(X*X+(Y+T-255)*(Y+T-255))};
    }
    else a[++cnt]={255,255,255,sqrt(Y*Y*2)};
    a[++cnt]={0,0,0,sqrt((X-x)*(X-x)+(Y-y)*(Y-y)+(Z-z)*(Z-z))};
  }
  print(cnt,'\n');
  rep(i,1,cnt)printf("%lld %lld %lld %.12lf\n",a[i].x,a[i].y,a[i].z,a[i].dis);
}

signed main() {
  clock_t c1 = clock();
#ifdef LOCAL
  freopen("in.in", "r", stdin);
  freopen("out.out", "w", stdout);
#endif
//------------------------------------------------------------------

  int t;read(t);while(t--)solve();

//------------------------------------------------------------------
end:
  std::cerr << "Time : " << clock() - c1 << " ms" << std::endl;
  return 0;
}