#include <iostream>
#include <fstream>
#include <string>
#include <sstream>
#include <vector>
#include <numeric>
#include <numbers>
//#define TEST
using namespace std;
stringstream ss;
// y=a*sin(b*x+c)+d
//
// H=a+d
// H-a=d
//
// L = -a+d
// L -d = -a
// d-L = a
// H-a-L = a
// H-L = 2a
// (H-L)/2 = a
//
// pi/2 = bx+c
// pi/2 - bx = c
void trig(double* data)
{
double a, b, c, d;
b = 2.0 * numbers::pi / 24.0;
double smallestVal = 10000;
double largestVal = -10000;
double lowAmpl;
for (int i = 0; i < 24; i++)
{
if (smallestVal > data[i])
{
smallestVal = data[i];
lowAmpl = i;
}
if (largestVal < data[i])
{
largestVal = data[i];
}
}
a = (largestVal - smallestVal) / 2;
d = largestVal - a;
c = 3 * numbers::pi / 2 - (b * lowAmpl);
for (int i = 24; i < 24 + 12; i++)
{
ss << a * sin(i * b + c) + d << " ";
}
ss << "\n";
}
int main()
{
int n;
#ifdef TEST
fstream f;
f.open(__FILE__ "/../../sample-data.txt");
f >> n;
for (int i = 0; i < n; i++)
{
vector<double> dt;
for (int j = 0; j < 36; j++)
{
double v;
f >> v;
dt.push_back(v);
}
trig(&dt[0]);
}
f.close();
#else
cin >> n;
for (int i = 0; i < n; i++)
{
vector<double> dt;
for (int j = 0; j < 24; j++)
{
double v;
cin >> v;
dt.push_back(v);
}
trig(&dt[0]);
}
cout << ss.str();
#endif
return 0;
}