// Google Code Jam 2014 Qualification Round B Cookie Clicker Alpha
// Problems: https://code.google.com/codejam/contest/2974486/dashboard#s=p1
import java.io.*;
import java.math.*;
import java.text.*;
import java.util.*;
//Google Code Jam
public class GoogleCode2 {
private static MyScanner in;
private static PrintStream out = System.out;
private static PrintStream sysout = System.out;
static int caseNum;
private static void solve() throws IOException
{
PreCompute();
int C = in.nextInt();
for (int i = 0; i < C; i++) {
caseNum = i + 1;
out.print("Case #" + caseNum + ": ");
solveCase();
}
}
private static void PreCompute() {
}
static double minSecs;
static double farmCost;
static double F;
static double X;
private static void solveCase() throws IOException {
farmCost = in.nextDouble();
F = in.nextDouble();
X = in.nextDouble();
minSecs = Double.MAX_VALUE;
Calculate(0, 2, 0);
out.println(minSecs);
}
private static void Calculate(double curCookies, double cps,
double curTimeSecs)
{
if (curCookies >= X) {
if (curTimeSecs < minSecs)
minSecs = curTimeSecs;
return;
}
// keep producing without adding farms
double addSecs = (X - curCookies) / cps;
double totalSecs = addSecs + curTimeSecs;
if (totalSecs < minSecs)
minSecs = totalSecs;
// add farm
if (curCookies >= farmCost) {
curCookies -= farmCost;
addSecs = 0;
}
else {
addSecs = (farmCost - curCookies) / cps;
curCookies = 0;
}
curTimeSecs += addSecs;
// if (Math.abs(curTimeSecs - minSecs) < 1e-7)
// return;
out.println("" + curTimeSecs + " " + minSecs);
if (curTimeSecs < minSecs) {
Calculate(curCookies, cps + F, curTimeSecs);
}
else
return;
}
public static void main(String[] args) throws IOException {
// helpers for input/output
boolean usingFileForIO = true;
if (usingFileForIO) {
// using input.txt and output.txt as I/O
in = new MyScanner("E:\\zin.txt");
out = new PrintStream("E:\\zout.txt");
}
else {
in = new MyScanner();
out = System.out;
}
solve();
}
// =====================================
static class MyScanner {
Scanner inp = null;
public MyScanner() throws IOException
{
inp = new Scanner(System.in);
}
public MyScanner(String inputFile) throws IOException {
inp = new Scanner(new FileInputStream(inputFile));
}
public int nextInt() throws IOException {
return inp.nextInt();
}
public long nextLong() throws IOException {
return inp.nextLong();
}
public double nextDouble() throws IOException {
return inp.nextDouble();
}
public String nextString() throws IOException {
return inp.next();
}
public String nextLine() throws IOException {
return inp.nextLine();
}
}
}
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