package adv2016; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class N456_2 { InputStream is; PrintWriter out; String INPUT = ""; double W(double x) { double v = 0; while(true){ double ev = Math.exp(v); double nv = v-(v*ev-x)/(ev*(v+1)-(v+2)*(v*ev-x)/(2*v+2)); if(Math.abs(v-nv) < 1e-12)return nv; v = nv; } } void solve() { StringBuilder sb = new StringBuilder(); for(int T = ni();T > 0;T--){ int a = ni(), b = ni(); double t = nd(); if(b == 0){ // x^a=t double ans = Math.pow(t, 1./a); sb.append(dtos(ans, 11)).append("\n"); }else if(a == 0){ // (log x)^b=t double ans = Math.exp(Math.pow(t, 1./b)); sb.append(dtos(ans, 11)).append("\n"); }else{ // x = (t^(1/b)/W(t^(1/b)))^(2b/a)) double tt = Math.pow(t, 1./b)*a/b; double ans = Math.pow(tt/W(tt), b/a); sb.append(dtos(ans, 11)).append("\n"); } } out.print(sb); } public static String dtos(double x, int n) { StringBuilder sb = new StringBuilder(); if(x < 0){ sb.append('-'); x = -x; } x += Math.pow(10, -n)/2; // if(x < 0){ x = 0; } sb.append((long)x); sb.append("."); x -= (long)x; for(int i = 0;i < n;i++){ x *= 10; sb.append((int)x); x -= (int)x; } return sb.toString(); } void run() throws Exception { // int n = 1000000, m = 99999; // Random gen = new Random(); // StringBuilder sb = new StringBuilder(); // sb.append(n + " "); // for (int i = 0; i < n; i++) { // sb.append(gen.nextInt(10)+1 + " "); // sb.append(gen.nextInt(10)+1 + " "); // sb.append(gen.nextDouble()*10+0.1 + " "); // } // INPUT = sb.toString(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new N456_2().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }