import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
// Calculate how many percent a frequency changes when a vibrato of a certain "cent" (of a semitone - that's the technical term they use) is applied.

// From: https://en.wikipedia.org/wiki/Vibrato
// "The extent of vibrato for solo singers is usually less than a semitone (100 cents) either side of the note"
//   => cent = 100
// "while singers in a choir typically use narrower vibrato with an extent of less than a tenth of a semitone (10 cents) either side"
//   => cent = 10
// "Wind and bowed instruments generally use vibratos with an extent of less than half a semitone either side."
//   => cent = 50

class main {

static double vibratoCentToFrequencyPercentage(double cent) {
  return (plusOneSemitone()-1)*cent;
}
static double plusOneSemitone() {
  return nthRoot(12, 2);
}

static double plusOneSemitone(double frequency) {
  return plusOneSemitone()*frequency;
}




static double nthRoot(int n, double x) {
  return Math.pow(x, 1.0/n);
}



}