internal static string IntegralDecodingWithScaling(string code, List <Myletter> letters)
{
string returnedString = "";
int numberOfBits = Encoder.MinimumNumberOfBits(letters, Encoder.SmallestPosibleRange(letters));
// Console.WriteLine($"Number of bits={numberOfBits}");
int numOfLetters = letters.Sum(x => x.Quantity);
List <string> allDString = new List <string>();
List <string> allGString = new List <string>();
List <int> allDDec = new List <int>();
List <int> allGDec = new List <int>();
allDString.Add(Encoder.IntegralToBinary(0, numberOfBits));
allGString.Add(Encoder.IntegralToBinary((int)Math.Pow(2, numberOfBits) - 1, numberOfBits));
allDDec.Add(0);
allGDec.Add((int)Math.Pow(2, numberOfBits) - 1);
// Console.WriteLine($"D[0]= {allDDec[0]} {allDString[0]}");
//Console.WriteLine($"G[0]= {allGDec[0]} {allGString[0]}");
string windowedCode = code.Substring(0, numberOfBits);
double sign = Encoder.BinaryToIntegral(windowedCode);
// Console.WriteLine($"Windowed code={windowedCode} Sign={sign}");
int nextReadedBit = numberOfBits;
for (int n = 1; n < numOfLetters + 1; n++)
{
double tStar = (numOfLetters * (sign - allDDec[^ 1] + 1) - 1) / (allGDec[^ 1] - allDDec[^ 1] + 1);