// 01-02: sample
// 03-07: equal curves of size n = 1, 2, 3, 5, 10
// 08-16 : random curves of size n = 2, 3, 4, 5, 6, 7, 8, 9, 10

#include <iostream>
#include <fstream>
#include <sstream>
#include <algorithm>
#include <random>
#include <string>
#include <cassert>
#include <iomanip>

using namespace std;

const string probname = "studying";

random_device rd;
default_random_engine e1(rd());

int rand_int(int low, int high)
{
  uniform_int_distribution<int> uniform_dist(low, high);
  return uniform_dist(e1);
}

double myround(double x)
{
  return floor(x * 10000.0 + 0.5)/10000.0;
}

double myfloor(double x)
{
  return floor(x * 10000.0)/10000.0;
}

void gen_poly(int T, double &a, double &b, double &c)
{
  bool good;
  do {
    int M = rand_int(50,100);
    
    double A = M / ((double)T*T);
    
    a = -A;
    b = 2*T*A;
    c = 99 - A*T*T;

    a = myround(a);
    b = myround(b);
    c = myround(c);
    
    good = (c >= 0) && a*T*T+b*T+c <= 100 && a < 0 && b >= 0 &&
      (2*a*T+b >= 0);
  } while (!good);
}

void gen_rand(int n, int c)
{
  ostringstream oss;
  oss << probname << "-" << setw(2) << setfill('0') << c << ".in";
  ofstream os(oss.str().c_str());

  int T = rand_int(1,240);
  os << n << ' ' << T << endl;
  
  for (int i = 0; i < n; i++) {
    double A, B, C;
    gen_poly(T, A, B, C);
    os << fixed << setprecision(4) << A << ' ' << B << ' ' << C << endl;
  }
}

void gen_equal(int n, int c)
{
  ostringstream oss;
  oss << probname << "-" << setw(2) << setfill('0') << c << ".in";
  ofstream os(oss.str().c_str());

  int T = rand_int(1,240);
  os << n << ' ' << T << endl;
  
  double A, B, C;
  gen_poly(T, A, B, C);
  for (int i = 0; i < n; i++) {
    os << fixed << setprecision(4) << A << ' ' << B << ' ' << C << endl;
  }
}

int main()
{
  int c = 1;

  gen_equal(2, c++);
  gen_equal(3, c++);
  gen_equal(1, c++);
  gen_equal(2, c++);
  gen_equal(3, c++);
  gen_equal(5, c++);
  gen_equal(10, c++);
  
  for (int s = 2; s <= 10; s++) {
    gen_rand(s, c++);
  }

  return 0;
}