CSA Blog

Ian Wu

MCQ - 2015 Corrections

28 Feb 2025 • AP Test Prep

MCQ

Score 34/39. Score was OK but more silly mistakes were made than I would’ve liked.

Q9

A pair of number cubes is used in a game of chance. Each number cube has six sides, numbered from 1 to 6, inclusive, and there is an equal probability for each of the numbers to appear on the top side (indicating the cube’s value) when the number cube is rolled. The following incomplete statement appears in a program that computes the sum of the values produced by rolling two number cubes.

int sum = / * missing code * / ;

Which of the following replacements for /* missing code */ would best simulate the value produced as a result of rolling two number cubes? Responses Wrong Answer: (int) (Math.random() * 6) + (int) (Math.random() * 6) Correct Answer: 2 + (int) (Math.random() * 6) + (int) (Math.random() * 6)

The Math.random() gives a random number from 0 to 1. Multiplying this by 6 gives a random number of 0 to 6, and casting as an integer gives from 0 to 5. Therefore, two must be added to give a simulation of two dice.

Mistake: The number is not already an integer, and when casted the output is never 6.

Q21

Consider the following recursive method.

What is printed as a result of the call whatsItDo(“WATCH”) ?

public static void whatsItDo(String str) {
    int len = str.length();
    if (len > 1) {
        String temp = str.substring(0, len - 1);
        System.out.println(temp);
        whatsItDo(temp);
    }
}

whatsItDo("WATCH")

WATC
WAT
WA
W

As visible from code above, correct answer is WATC, WAT, WA, W. The function recursively calls itself to remove the last letter of the string each time before printing it out.

MISTAKE: I thought the function printed the string first, before removing the last letter.

Q22

Consider the following definition. Which of the following code segments produces the output 123456?

Correct Answer:

for (int[] row : numbers) {
    for (int n : row) {
        System.out.print(n);
    }
}

This one was quite obvious, misclick.

MISTAKE: Did not double check selected correct answers

Q26

Consider the following two methods, which appear within a single class. What is printed as a result of the call start()?

Wrong Answer: 0 0 0 0 0 0 black Correct Answer: 1 2 3 4 5 6 blackboard

MISTAKE: I did not see the arr = new int[5];. I knew that parameters in java are passed using call by value and are references, and assumed that the parameter values were updated without seeing this line, which sets a new array to avoid modifying the old one.

Q27

Directions: Select the choice that best fits each statement. The following question(s) refer to the following information.

Consider the following sort method. This method correctly sorts the elements of array data into increasing order.

Assume that sort is called with the array {6, 3, 2, 5, 4, 1}. What will the value of data be after three passes of the outer loop (i.e., when j = 2 at the point indicated by / * End of outer loop * /) ?

Wrong Answer: {1, 2, 3, 4, 5, 6} Correct Answer: {1, 2, 3, 5, 4, 6}

MISTAKE: Did not read the after three passes of the outer loop and instead selected the option that results from completing all passes.

FRQ

Tangibles TBA - Under Construction

Calculator Enactment

24 Feb 2025 • Project Work

Prefix Notation Visualization

import java.util.function.BiFunction;

/**
 * Token class
 * A Token is the key component of a mathematical expression
 * - Operators.  define the operator token, precedence, and mathematical calculation
 * - Parenthesis.  used to group terms
 */
public class Token {
    private final Character token;
    private final int precedence;
    private final BiFunction<Double, Double, Double> calculation;
    private final int numArgs;

    // Constructor for passive token, used for non-operator tokens
    public Token() {
        this('0');  // telescope to next constructor
    }

    // Constructor for simple token, used for parenthesis
    public Token(Character token) {
        this(token,0,null,0); // telescope to next constructor
    }

    // Constructor for operators, contains precedence and calculation method
    public Token(Character token, int precedence,  BiFunction<Double, Double, Double> calculation, int numArgs) {
        this.token = token;
        this.precedence = precedence;
        this.calculation = calculation;
        this.numArgs = numArgs;
    }

    // Getter for token
    public Character getToken() {
        return token;
    }

    // Getter for precedence
    public int getPrecedence() {
        return precedence;
    }

    public int getNumArgs() {
        return numArgs;
    }

    // Is precedent calculation
    public boolean isPrecedent(Token token) {
        return this.precedence > token.getPrecedence();
    }

    // Math calculation for operator and operands
    public Double calculate(Double operand1, Double operand2) {
        return this.calculation.apply(operand1, operand2);
    }

    // String return for token / operator
    public String toString() {
        return this.token.toString();
    }
    
}
import java.util.function.BiFunction;

/**
 * TermOrOperator class is a subclass of Token
 * TermOrOperator is used to define the parts of a mathematical expression
 * - Values.  a string representation of the numerical value in the expression
 * - Operators.  define the operator token, precedence, and mathematical calculation
 * - Parenthesis.  used to group terms
 */
public class TermOrOperator extends Token {
    private final String value;

    // Constructor for values
    public TermOrOperator(String value) {
        this.value = value;
    }

    // Constructor for parenthesis
    public TermOrOperator(Character token) {
        super(token);
        this.value = null;
    } 

    // Constructor for operators
    public TermOrOperator(Character token, int precedence, BiFunction<Double, Double, Double> calculation) {
        super(token, precedence, calculation, 2);
        this.value = null;
    }

    // Constructor for operators
    public TermOrOperator(Character token, int precedence, BiFunction<Double, Double, Double> calculation, int numArgs) {
        super(token, precedence, calculation, numArgs);
        this.value = null;
    }

    // Get method for retrieving value
    public String getValue() {
        return value;
    }

    // toString method to return value according to type: value, operator, or parenthesis
    public String toString() {
        if (this.value == null) {
            return super.toString();
        }
        return this.value;
    }   
}
import java.util.Map;
import java.util.function.BiFunction;
import java.util.HashMap;

/**
 * Terms class is a collection of Term objects
 * Terms are used to define the parts of a mathematical expression
 * - Operators.  define the operator, precedence, and mathematical calculation
 * - Parenthesis.  used to seperate and group terms
 * - Space. Used to seperate terms
 * 
 * A Map is choosen as the data structure because it enables fast lookups of Terms
 */
public class Tokens {
    // Terms are stored in map, using Term token as the key
    private Map<Character, TermOrOperator> map;

    // Constructor initializes map
    public Tokens() {
        this.map = new HashMap<>();
    }

    // Put method for adding Parenthesis and Space
    public void put(Character token) {
        this.map.put(token, new TermOrOperator(token));
    }

    // Put method for adding Operators, precedence, and calculation
    public void put(Character token, int precedence, BiFunction<Double, Double, Double> calculation, int numArgs) {
        this.map.put(token, new TermOrOperator(token, precedence, calculation, numArgs));
    }

    // Put method for adding Operators, precedence, and calculation
    public void put(Character token, int precedence, BiFunction<Double, Double, Double> calculation) {
        this.map.put(token, new TermOrOperator(token, precedence, calculation));
    }

    // Get method for retrieving Term based on token lookup  
    public TermOrOperator get(Character token) {
        return this.map.get(token);
    }

    // Get precedence method for retrieving precedence based on token lookup
    public int getPrecedence(Character token) {
        return this.map.get(token).getPrecedence();
    }

    // Contains method for checking if token exists in map
    public boolean contains(Character token) {
        return this.map.containsKey(token);
    }

    // toString method for converting entire map to string
    public String toString() {
        return this.map.toString();
    }

}

import java.util.ArrayList;
import java.util.Stack;

/** In mathematics,
    an expression or mathematical expression is a finite combination of symbols that is well-formed
    according to rules that depend on the context.
   In computers,
    expression can be hard to calculate with precedence rules and user input errors
    to handle computer math we often convert strings into reverse polish notation
*/
public class Calculator {
    // Key instance variables
    private final String expression;
    private ArrayList<TermOrOperator> terms = new ArrayList<>();
    private ArrayList<TermOrOperator> rpnTerms = new ArrayList<>();
    private Tokens operators = new Tokens();
    private Tokens seperators = new Tokens();
    private Double result = 0.0;

    /**
     * Calculator constructor to create a calculation object for an expression
     * This calculates the expression and saves the result and intermediate steps in instance variables
     * 
     * @param expression
     */
    public Calculator(String expression) {   
        // set up tokens used in an calculator
        initOperators();
        initSeperators();

        // original expression
        this.expression = expression;

        // parse expression into individual terms
        this.termTokenizer();

        // place terms into polish notation
        this.termsToPrefix();

        // calculate polish notation expression into a result
        this.prefixToResult();
    }

    /** 
     * Method to initialize operators, precedence, and calculation
     * Fundamental to data structures is the ability to store and retrieve data quickly
     * In this case, we are using a map to store operators and their precedence and calculation methods.
     * 
     * Note, that through overloaded methods, we can store operators as Terms with different numbers of arguments
     * This is specifically useful, in this case, for unary operators like square root
     */
    private void initOperators() {
        // Operators contain a token, precedence, and calculation using BiFunction
        operators.put('*', 3, (a, b) -> a * b);
        operators.put('/', 3, (a, b) -> a / b);
        operators.put('%', 3, (a, b) -> a % b);
        operators.put('+', 4, (a, b) -> a + b);
        operators.put('-', 4, (a, b) -> a - b);
        operators.put('^', 2, (a, b) -> Math.pow(a, b)); // Power operation
        operators.put('√', 1, (a, b) -> Math.sqrt(a), 1); // Square root operation
    }

    /**
     * Method to initialize seperators
     * Seperators are used to seperate terms 
     * Additionally, the parenthesis are used to group terms and operations
     *
     * Note, that through overloaded methods, we can store seperators as Terms with different numbers of arguments 
     */
    private void initSeperators() {
        // Seperators contain a token 
        seperators.put(' ');
        seperators.put('(');
        seperators.put(')');
    }

    /**
     * Term Tokenizer takes original expression and converts it to ArrayList of mathematical terms and values
     * Populates the this.terms instance of type ArrayList<TermOrOperator>
     * In essence, this method tokenizes the expression into individual terms/cells in the ArrayList 
     */ 
    private void termTokenizer() {
        int start = 0;  // term split starting index
        StringBuilder multiCharTerm = new StringBuilder();    // term holder
        for (int i = 0; i < this.expression.length(); i++) {
            Character c = this.expression.charAt(i);
            
            if ( operators.contains(c) || seperators.contains(c)  ) {
                // 1st check for working term and add if it exists
                if (multiCharTerm.length() > 0) {
                    this.terms.add(new TermOrOperator(this.expression.substring(start, i)));
                }
                // Add operator or parenthesis term to list
                TermOrOperator t = operators.get(c);
                if (t == null) {
                    t = seperators.get(c);
                }
                if (t != null && t.getToken() != ' ') {
                    this.terms.add(t);
                }

                // Get ready for next term
                start = i + 1;
                multiCharTerm = new StringBuilder();
            } else {
                // multi character terms: numbers, functions, perhaps non-supported elements
                // Add next character to working term
                multiCharTerm.append(c);
            }

        }
        // Add last term
        if (multiCharTerm.length() > 0) {
            this.terms.add(new TermOrOperator(this.expression.substring(start)));
        }
    }

    /**
     * This method populates the this.rpnTerms instance of type ArrayList<TermOrOperator> from the this.terms
     * Observe the inorder shift from before (terms) to after (termsToRPN) reorder
     * This reordering is called Reverse Polish Notation (RPN)
     * The terms are reordered by parenthesis and operator precedence, also called postfix notation
     * RPN is commonly used in computer science to evaluate mathematical expressions
     * RPN originated with with the Polish mathematician Jan Łukasiewicz
     * RPN was later popularized by the Hewlett-Packard company in the 1970s with their scientific calculators
     * 
     */ 
    private void termsToPrefix() {
        // A stack is used to hold operators in the proper order for prefix notation
        Stack<TermOrOperator> operatorStack = new Stack<>();
    
        // Process each term (similar to termsToRPN but reversed)
        for (TermOrOperator term : terms) {
            if (term.getToken() == ')') { // close parenthesis
                // Same logic as RPN, but reversed
                while (operatorStack.peek() != null && operatorStack.peek().getToken() != '(') {
                    rpnTerms.add(0, operatorStack.pop()); // Push to the front for prefix order
                }
                operatorStack.pop(); // remove open parenthesis
            } else if (term.getToken() == '(') { // open parenthesis
                operatorStack.push(term);
            } else if (operators.contains(term.getToken())) { // operator
                // For prefix, we compare operator precedence and push onto stack accordingly
                while (!operatorStack.isEmpty() && operators.contains(operatorStack.peek().getToken()) &&
                       term.isPrecedent(operatorStack.peek())) {
                    rpnTerms.add(0, operatorStack.pop());
                }
                operatorStack.push(term);
            } else { // operand
                rpnTerms.add(0, term); // Directly add operands to the front
            }
        }
        // Empty the operator stack to the front for prefix order
        while (!operatorStack.isEmpty()) {
            rpnTerms.add(0, operatorStack.pop());
        }
    }    

    /**
     * The method takes this.rpnTerms and calculates them into a final result
     * Values proceed the operators, value(s) are popped from the this.rpmTerms and pushed onto the calcStack
     * Operators are applied to the value(s) in the calcStack and the result is pushed back onto the calcStack 
     * The final result is the remaining value on the calcStack with the this.rpnTerms is empty 
     * The final result is stored in this.result 
     * 
     */ 
    private void prefixToResult() {
        // Stack for operands
        Stack<Double> calcStack = new Stack<>();
    
        // Process the prefix expression from right to left
        for (int i = rpnTerms.size() - 1; i >= 0; i--) {
            TermOrOperator term = rpnTerms.get(i);
            Double operand1 = 0.0, operand2 = 0.0, result = 0.0;
    
            if (operators.contains(term.getToken())) {
                if (term.getNumArgs() == 1) { // Unary operator
                    operand1 = calcStack.pop();
                    result = term.calculate(operand1, 0.0); // Pass a dummy 0.0 for second operand
                } else { // Binary operator
                    operand1 = calcStack.pop();
                    operand2 = calcStack.pop();
                    result = term.calculate(operand1, operand2);
                }
                calcStack.push(result);
            } else {
                // Operand, push onto stack
                calcStack.push(Double.parseDouble(term.toString()));
            }
        }
    
        // Final result will be the last value on the stack
        this.result = calcStack.pop();
    }    

    // Print the expression, terms, and result from the instance variables
    public String toString() {
        return ("Original expression: " + this.expression + "\n" +
                "Tokenized expression: " + this.terms.toString() + "\n" +
                "Polish Notation: " +this.rpnTerms.toString() + "\n" +
                "Final result: " + String.format("%.2f", this.result));
    }

    // Tester method contains a few examples of mathematical expressions
    public static void main(String[] args) {
        Calculator simpleMath = new Calculator("100 + 200  * 3");
        System.out.println("Simple Math\n" + simpleMath);

        System.out.println();

        Calculator parenthesisMath = new Calculator("(100 + 200)  * 3");
        System.out.println("Parenthesis Math\n" + parenthesisMath);

        System.out.println();

        Calculator decimalMath = new Calculator("100.2 - 99.3");
        System.out.println("Decimal Math\n" + decimalMath);

        System.out.println();

        Calculator moduloMath = new Calculator("300 % 200");
        System.out.println("Modulo Math\n" + moduloMath);

        System.out.println();

        Calculator divisionMath = new Calculator("300/200");
        System.out.println("Division Math\n" + divisionMath);

        System.out.println();

        Calculator pythagoreanMath = new Calculator("√(3^2 + 4^2)");
        System.out.println("Pythagorean Theorem\n" + pythagoreanMath);

    }
}
Calculator.main(null);

Simple Math
Original expression: 100 + 200  * 3
Tokenized expression: [100, +, 200, *, 3]
Polish Notation: [+, *, 3, 200, 100]
Final result: 700.00

Parenthesis Math
Original expression: (100 + 200)  * 3
Tokenized expression: [(, 100, +, 200, ), *, 3]
Polish Notation: [*, 3, +, 200, 100]
Final result: 900.00

Decimal Math
Original expression: 100.2 - 99.3
Tokenized expression: [100.2, -, 99.3]
Polish Notation: [-, 99.3, 100.2]
Final result: -0.90

Modulo Math
Original expression: 300 % 200
Tokenized expression: [300, %, 200]
Polish Notation: [%, 200, 300]
Final result: 200.00

Division Math
Original expression: 300/200
Tokenized expression: [300, /, 200]
Polish Notation: [/, 200, 300]
Final result: 0.67

Pythagorean Theorem
Original expression: √(3^2 + 4^2)
Tokenized expression: [√, (, 3, ^, 2, +, 4, ^, 2, )]
Polish Notation: [√, +, ^, 2, 4, ^, 2, 3]
Final result: 4.90

Abstract Fibonaccii Hack

20 Feb 2025 • Project Work

Introduction

This notebook uses Class definitions, ArrayLists, and Hash Maps. My hypothosis is these data structures are probably the most widely used in the Java language.

Popcorn Hacks

Provide some reasons why you agree with my hypothesis? Java is an object oriented programming language and hence Class definitions are widely used, being a critical part of the language and necessary to create new objects. ArrayLists are extremely versatile when compared to arrays as they have variable sizes and can be used for a variety of purposes. HashMaps are a very efficient way of linking keys to values. All three of these are widely used and tested by college board.

Below is a python program that counts the instances of various data structures in a folder. It is set to search in spring_2025

import os
import re
from collections import defaultdict

def count_java_data_structures(folder_path):
    data_structures = [
        "Class", "ArrayList", "LinkedList", "Vector", "Stack",
        "HashMap", "TreeMap", "LinkedHashMap", "Hashtable", "WeakHashMap",
        "HashSet", "TreeSet", "LinkedHashSet",
    ]
    
    structure_counts = defaultdict(int)

    # Recursively find all .java files
    java_files = []
    for root, _, files in os.walk(folder_path):
        for file in files:
            if file.endswith(".java"):
                java_files.append(os.path.join(root, file))  # Full path to each Java file

    # Print found Java files for debugging
    print(f"Found {len(java_files)} Java files.")

    # Search each Java file for data structures
    for file in java_files:
        with open(file, "r", encoding="utf-8") as f:
            content = f.read()
            
            for structure in data_structures:
                matches = re.findall(rf'\b{structure}\b', content)
                structure_counts[structure] += len(matches)
    
    # Print results
    print("\nJava Data Structure Usage Count:")
    for structure, count in sorted(structure_counts.items(), key=lambda x: -x[1]):
        if count > 0:
            print(f"{structure}: {count}")

# Update folder path as needed
folder_path = "spring_2025/"
if os.path.isdir(folder_path):
    count_java_data_structures(folder_path)
else:
    print("Invalid folder path!")

Output:
Found 212 Java files.

Java Data Structure Usage Count:
ArrayList: 155
HashMap: 72
Class: 20
LinkedList: 18
Stack: 10
Set: 9
HashSet: 2

Fibonacci Algorithms

Features time tests and new algorithms

/*
 * Creator: Nighthawk Coding Society
 * Mini Lab Name: Fibonacci sequence, featuring a Stream Algorithm
 * 
*/

import java.util.ArrayList;  
import java.util.HashMap;
import java.util.stream.Stream;

/* Objective will require changing to abstract class with one or more abstract methods below */
abstract class Fibo {
    String name;  // name or title of method
    int size;  // nth sequence
    int hashID;  // counter for hashIDs in hash map
    ArrayList<Long> list;   // captures current Fibonacci sequence
    HashMap<Integer, Object> hash;  // captures each sequence leading to final result

    /*
     Zero parameter constructor uses Telescoping technique to allow setting of the required value nth
     @param: none
     */
    public Fibo() {
        this(8); // telescope to avoid code duplication, using default as 20
    }

    /*
     Construct the nth fibonacci number
     @param: nth number, the value is constrained to 92 because of overflow in a long
     */
    public Fibo(int nth) {
        this.size = nth;
        this.list = new ArrayList<>();
        this.hashID = 0;
        this.hash = new HashMap<>();
        //calculate fibonacci and time mvc
        this.calc();
    }

    /*
     This Method should be "abstract"
     Leave method as protected, as it is only authorized to extender of the class
     Make new class that extends and defines calc()
     Inside references within this class would change from this to super
     Repeat process using for, while, recursion
     */
    protected abstract void calc();

    /*
     Number is added to fibonacci sequence, current state of "list" is added to hash for hashID "num"
     */
    public void setData(long num) {
        list.add(num);
        hash.put(this.hashID++, list.clone());
    }

    /*
     Custom Getter to return last element in fibonacci sequence
     */
    public long getNth() {
        return list.get(this.size - 1);
    }

    /*
     Custom Getter to return last fibonacci sequence in HashMap
     */
    public Object getNthSeq(int i) {
        return hash.get(i);
    }

    // Method to run the algorithm multiple times and report the times
    public void runTest(int trials) {
        long[] times = new long[trials];

        // Run the algorithm `trials` times and record the times
        for (int i = 0; i < trials; i++) {
            long startTime = System.nanoTime();
            this.calc();
            long endTime = System.nanoTime();
            times[i] = endTime - startTime;
        }

        // Calculate the average time
        long totalTime = 0;
        for (long time : times) {
            totalTime += time;
        }
        long averageTime = totalTime / trials;

        // Print the results
        System.out.println("Average Time: " + averageTime + " nanoseconds");
        System.out.println("Times by Trial: ");
        for (int i = 0; i < trials; i++) {
            System.out.println("Trial " + (i + 1) + ": " + times[i] + " nanoseconds");
        }

    }

    /*
     Console/Terminal supported print method
     */
    public void print() {
        System.out.println("Calculation method = " + this.name);
        System.out.println("fibonacci Number " + this.size + " = " + this.getNth());
        System.out.println("fibonacci List = " + this.list);
        System.out.println("fibonacci Hashmap = " + this.hash);
        for (int i=0 ; i<this.size; i++ ) {
            System.out.println("fibonacci Sequence " + (i+1) + " = " + this.getNthSeq(i));
        }
    }
}

public class FiboFor extends Fibo {

    public FiboFor() {
        super();
    }

    public FiboFor(int nth) {
        super(nth);
    }

    @Override
    protected void calc() {
        super.name = "FiboFor extends Fibo";
        long limit = this.size;
        // for loops are likely the most common iteration structure, all the looping facts are in one line
        for (long[] f = new long[]{0, 1}; limit-- > 0; f = new long[]{f[1], f[0] + f[1]})
            this.setData(f[0]);
    }

    // Tester class method
    static public void main(int... numbers) {
        for (int nth : numbers) {
            Fibo fib = new FiboFor(nth);
            fib.runTest(12); // Run the speed test with 12 trials
            fib.print();
            System.out.println();
        }
    }
}

FiboFor.main(2, 5, 8)

Average Time: 1383 nanoseconds
Times by Trial: 
Trial 1: 1837 nanoseconds
Trial 2: 1440 nanoseconds
Trial 3: 1256 nanoseconds
Trial 4: 1273 nanoseconds
Trial 5: 1313 nanoseconds
Trial 6: 1603 nanoseconds
Trial 7: 1324 nanoseconds
Trial 8: 1331 nanoseconds
Trial 9: 1234 nanoseconds
Trial 10: 1234 nanoseconds
Trial 11: 1269 nanoseconds
Trial 12: 1490 nanoseconds
Calculation method = FiboFor extends Fibo
fibonacci Number 2 = 1
fibonacci List = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 0], 3=[0, 1, 0, 1], 4=[0, 1, 0, 1, 0], 5=[0, 1, 0, 1, 0, 1], 6=[0, 1, 0, 1, 0, 1, 0], 7=[0, 1, 0, 1, 0, 1, 0, 1], 8=[0, 1, 0, 1, 0, 1, 0, 1, 0], 9=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 10=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 11=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 12=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 13=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 14=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 15=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 16=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 17=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 18=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 19=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 20=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 21=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 22=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 23=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 24=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 25=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]

Average Time: 5488 nanoseconds
Times by Trial: 
Trial 1: 4817 nanoseconds
Trial 2: 5244 nanoseconds
Trial 3: 4315 nanoseconds
Trial 4: 4763 nanoseconds
Trial 5: 13454 nanoseconds
Trial 6: 4875 nanoseconds
Trial 7: 4631 nanoseconds
Trial 8: 4458 nanoseconds
Trial 9: 5220 nanoseconds
Trial 10: 4728 nanoseconds
Trial 11: 4733 nanoseconds
Trial 12: 4618 nanoseconds
Calculation method = FiboFor extends Fibo
fibonacci Number 5 = 3
fibonacci List = [0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 0], 6=[0, 1, 1, 2, 3, 0, 1], 7=[0, 1, 1, 2, 3, 0, 1, 1], 8=[0, 1, 1, 2, 3, 0, 1, 1, 2], 9=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 10=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 11=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 12=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 13=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 14=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 15=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 16=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 17=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 18=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 19=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 20=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 21=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 22=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 23=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 24=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 25=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 26=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 27=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 28=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 29=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 30=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 31=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 32=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 33=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 34=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 35=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 36=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 37=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 38=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 39=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 40=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 41=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 42=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 43=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 46=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 47=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 48=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 49=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 50=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 51=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 52=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 53=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 54=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 55=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 56=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 57=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 58=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 59=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 60=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 61=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 62=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 63=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 64=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]

Average Time: 5188 nanoseconds
Times by Trial: 
Trial 1: 3023 nanoseconds
Trial 2: 21589 nanoseconds
Trial 3: 4853 nanoseconds
Trial 4: 4201 nanoseconds
Trial 5: 4012 nanoseconds
Trial 6: 4700 nanoseconds
Trial 7: 4278 nanoseconds
Trial 8: 4030 nanoseconds
Trial 9: 2249 nanoseconds
Trial 10: 2270 nanoseconds
Trial 11: 2171 nanoseconds
Trial 12: 4883 nanoseconds
Calculation method = FiboFor extends Fibo
fibonacci Number 8 = 13
fibonacci List = [0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 5], 6=[0, 1, 1, 2, 3, 5, 8], 7=[0, 1, 1, 2, 3, 5, 8, 13], 8=[0, 1, 1, 2, 3, 5, 8, 13, 0], 9=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 10=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 11=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 12=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 13=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 14=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 15=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 16=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 17=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 18=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 19=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 20=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 21=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 22=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 23=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 24=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 25=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 26=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 27=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 28=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 29=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 30=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 31=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 32=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 33=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 34=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 35=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 36=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 37=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 38=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 39=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 40=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 41=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 42=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 43=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 46=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 47=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 48=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 49=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 50=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 51=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 52=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 53=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 54=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 55=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 56=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 57=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 58=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 59=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 60=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 61=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 62=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 63=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 64=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 65=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 66=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 67=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 68=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 69=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 70=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 71=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 72=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 73=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 74=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 75=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 76=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 77=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 78=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 79=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 80=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 81=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 82=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 83=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 84=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 85=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 86=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 87=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 88=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 89=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 90=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 91=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 92=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 93=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 94=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 95=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 96=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 97=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 98=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 99=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 100=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 101=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 102=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 103=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]
fibonacci Sequence 6 = [0, 1, 1, 2, 3, 5]
fibonacci Sequence 7 = [0, 1, 1, 2, 3, 5, 8]
fibonacci Sequence 8 = [0, 1, 1, 2, 3, 5, 8, 13]

public class FiboStream extends Fibo {

    public FiboStream() {
        super();
    }

    public FiboStream(int nth) {
        super(nth);
    }

    @Override
    protected void calc() {
        super.name = "FiboStream extends Fibo";

        // Initial element of stream: new long[]{0, 1}
        // Lambda expression calculate the next fibo based on the current: f -> new long[]{f[1], f[0] + f[1]}
        Stream.iterate(new long[]{0, 1}, f -> new long[]{f[1], f[0] + f[1]})
            .limit(super.size) // stream limit
            .forEach(f -> super.setData(f[0]) );  // set data in super class
    }

    /*
    Tester class method.
     */
    static public void main(int... numbers) {
        for (int nth : numbers) {
            Fibo fib = new FiboStream(nth);
            fib.runTest(12); // Run the speed test with 12 trials
            fib.print();
            System.out.println();
        }
    }
}

FiboStream.main(2, 5, 8);

Average Time: 3553 nanoseconds
Times by Trial: 
Trial 1: 5204 nanoseconds
Trial 2: 3783 nanoseconds
Trial 3: 3277 nanoseconds
Trial 4: 3330 nanoseconds
Trial 5: 3382 nanoseconds
Trial 6: 3621 nanoseconds
Trial 7: 3261 nanoseconds
Trial 8: 3277 nanoseconds
Trial 9: 3326 nanoseconds
Trial 10: 3096 nanoseconds
Trial 11: 3252 nanoseconds
Trial 12: 3830 nanoseconds
Calculation method = FiboStream extends Fibo
fibonacci Number 2 = 1
fibonacci List = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 0], 3=[0, 1, 0, 1], 4=[0, 1, 0, 1, 0], 5=[0, 1, 0, 1, 0, 1], 6=[0, 1, 0, 1, 0, 1, 0], 7=[0, 1, 0, 1, 0, 1, 0, 1], 8=[0, 1, 0, 1, 0, 1, 0, 1, 0], 9=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 10=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 11=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 12=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 13=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 14=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 15=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 16=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 17=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 18=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 19=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 20=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 21=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 22=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 23=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 24=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 25=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]

Average Time: 5426 nanoseconds
Times by Trial: 
Trial 1: 6178 nanoseconds
Trial 2: 5432 nanoseconds
Trial 3: 4941 nanoseconds
Trial 4: 5756 nanoseconds
Trial 5: 4869 nanoseconds
Trial 6: 4763 nanoseconds
Trial 7: 4856 nanoseconds
Trial 8: 4411 nanoseconds
Trial 9: 7108 nanoseconds
Trial 10: 7067 nanoseconds
Trial 11: 4835 nanoseconds
Trial 12: 4903 nanoseconds
Calculation method = FiboStream extends Fibo
fibonacci Number 5 = 3
fibonacci List = [0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 0], 6=[0, 1, 1, 2, 3, 0, 1], 7=[0, 1, 1, 2, 3, 0, 1, 1], 8=[0, 1, 1, 2, 3, 0, 1, 1, 2], 9=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 10=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 11=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 12=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 13=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 14=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 15=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 16=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 17=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 18=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 19=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 20=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 21=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 22=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 23=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 24=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 25=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 26=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 27=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 28=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 29=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 30=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 31=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 32=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 33=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 34=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 35=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 36=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 37=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 38=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 39=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 40=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 41=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 42=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 43=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 46=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 47=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 48=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 49=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 50=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 51=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 52=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 53=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 54=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 55=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 56=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 57=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 58=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 59=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 60=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 61=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 62=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 63=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 64=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]

Average Time: 8057 nanoseconds
Times by Trial: 
Trial 1: 10925 nanoseconds
Trial 2: 6115 nanoseconds
Trial 3: 5846 nanoseconds
Trial 4: 6177 nanoseconds
Trial 5: 6263 nanoseconds
Trial 6: 6350 nanoseconds
Trial 7: 5866 nanoseconds
Trial 8: 9969 nanoseconds
Trial 9: 20174 nanoseconds
Trial 10: 6531 nanoseconds
Trial 11: 5977 nanoseconds
Trial 12: 6498 nanoseconds
Calculation method = FiboStream extends Fibo
fibonacci Number 8 = 13
fibonacci List = [0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 5], 6=[0, 1, 1, 2, 3, 5, 8], 7=[0, 1, 1, 2, 3, 5, 8, 13], 8=[0, 1, 1, 2, 3, 5, 8, 13, 0], 9=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 10=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 11=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 12=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 13=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 14=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 15=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 16=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 17=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 18=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 19=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 20=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 21=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 22=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 23=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 24=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 25=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 26=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 27=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 28=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 29=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 30=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 31=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 32=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 33=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 34=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 35=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 36=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 37=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 38=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 39=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 40=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 41=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 42=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 43=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 46=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 47=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 48=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 49=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 50=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 51=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 52=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 53=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 54=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 55=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 56=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 57=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 58=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 59=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 60=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 61=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 62=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 63=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 64=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 65=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 66=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 67=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 68=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 69=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 70=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 71=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 72=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 73=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 74=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 75=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 76=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 77=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 78=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 79=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 80=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 81=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 82=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 83=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 84=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 85=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 86=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 87=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 88=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 89=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 90=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 91=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 92=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 93=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 94=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 95=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 96=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 97=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 98=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 99=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 100=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 101=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 102=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 103=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]
fibonacci Sequence 6 = [0, 1, 1, 2, 3, 5]
fibonacci Sequence 7 = [0, 1, 1, 2, 3, 5, 8]
fibonacci Sequence 8 = [0, 1, 1, 2, 3, 5, 8, 13]

public class FiboWhile extends Fibo {

    public FiboWhile() {
        super();
    }

    public FiboWhile(int nth) {
        super(nth);
    }

    @Override
    protected void calc() {
        super.name = "FiboWhile extends Fibo";

        long a = 0, b = 1;
        int count = 0;
        while (count < this.size) {
            this.setData(a);
            long temp = a + b;
            a = b;
            b = temp;
            count++;
        }

    }

    static public void main(int... numbers) {
        for (int nth : numbers) {
            Fibo fib = new FiboWhile(nth);
            fib.runTest(12); // Run the speed test with 12 trials
            fib.print();
            System.out.println();
        }
    }
}

FiboWhile.main(2, 5, 8)

Average Time: 676 nanoseconds
Times by Trial: 
Trial 1: 815 nanoseconds
Trial 2: 618 nanoseconds
Trial 3: 520 nanoseconds
Trial 4: 624 nanoseconds
Trial 5: 984 nanoseconds
Trial 6: 934 nanoseconds
Trial 7: 603 nanoseconds
Trial 8: 562 nanoseconds
Trial 9: 526 nanoseconds
Trial 10: 508 nanoseconds
Trial 11: 601 nanoseconds
Trial 12: 821 nanoseconds
Calculation method = FiboWhile extends Fibo
fibonacci Number 2 = 1
fibonacci List = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 0], 3=[0, 1, 0, 1], 4=[0, 1, 0, 1, 0], 5=[0, 1, 0, 1, 0, 1], 6=[0, 1, 0, 1, 0, 1, 0], 7=[0, 1, 0, 1, 0, 1, 0, 1], 8=[0, 1, 0, 1, 0, 1, 0, 1, 0], 9=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 10=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 11=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 12=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 13=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 14=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 15=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 16=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 17=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 18=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 19=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 20=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 21=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 22=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 23=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 24=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 25=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]

Average Time: 3032 nanoseconds
Times by Trial: 
Trial 1: 2550 nanoseconds
Trial 2: 3402 nanoseconds
Trial 3: 2429 nanoseconds
Trial 4: 7648 nanoseconds
Trial 5: 2358 nanoseconds
Trial 6: 2308 nanoseconds
Trial 7: 2143 nanoseconds
Trial 8: 2619 nanoseconds
Trial 9: 3303 nanoseconds
Trial 10: 2441 nanoseconds
Trial 11: 2620 nanoseconds
Trial 12: 2564 nanoseconds
Calculation method = FiboWhile extends Fibo
fibonacci Number 5 = 3
fibonacci List = [0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 0], 6=[0, 1, 1, 2, 3, 0, 1], 7=[0, 1, 1, 2, 3, 0, 1, 1], 8=[0, 1, 1, 2, 3, 0, 1, 1, 2], 9=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 10=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 11=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 12=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 13=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 14=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 15=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 16=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 17=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 18=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 19=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 20=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 21=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 22=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 23=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 24=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 25=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 26=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 27=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 28=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 29=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 30=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 31=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 32=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 33=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 34=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 35=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 36=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 37=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 38=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 39=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 40=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 41=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 42=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 43=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 46=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 47=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 48=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 49=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 50=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 51=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 52=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 53=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 54=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 55=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 56=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 57=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 58=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 59=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 60=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 61=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 62=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 63=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 64=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]

Average Time: 4236 nanoseconds
Times by Trial: 
Trial 1: 4210 nanoseconds
Trial 2: 3948 nanoseconds
Trial 3: 3409 nanoseconds
Trial 4: 3587 nanoseconds
Trial 5: 3890 nanoseconds
Trial 6: 4591 nanoseconds
Trial 7: 3575 nanoseconds
Trial 8: 3668 nanoseconds
Trial 9: 7414 nanoseconds
Trial 10: 4072 nanoseconds
Trial 11: 3940 nanoseconds
Trial 12: 4534 nanoseconds
Calculation method = FiboWhile extends Fibo
fibonacci Number 8 = 13
fibonacci List = [0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 5], 6=[0, 1, 1, 2, 3, 5, 8], 7=[0, 1, 1, 2, 3, 5, 8, 13], 8=[0, 1, 1, 2, 3, 5, 8, 13, 0], 9=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 10=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 11=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 12=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 13=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 14=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 15=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 16=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 17=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 18=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 19=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 20=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 21=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 22=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 23=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 24=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 25=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 26=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 27=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 28=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 29=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 30=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 31=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 32=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 33=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 34=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 35=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 36=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 37=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 38=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 39=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 40=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 41=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 42=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 43=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 46=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 47=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 48=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 49=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 50=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 51=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 52=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 53=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 54=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 55=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 56=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 57=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 58=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 59=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 60=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 61=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 62=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 63=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 64=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 65=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 66=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 67=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 68=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 69=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 70=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 71=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 72=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 73=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 74=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 75=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 76=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 77=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 78=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 79=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 80=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 81=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 82=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 83=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 84=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 85=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 86=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 87=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 88=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 89=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 90=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 91=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 92=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 93=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 94=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 95=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 96=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 97=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 98=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 99=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 100=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 101=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 102=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 103=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]
fibonacci Sequence 6 = [0, 1, 1, 2, 3, 5]
fibonacci Sequence 7 = [0, 1, 1, 2, 3, 5, 8]
fibonacci Sequence 8 = [0, 1, 1, 2, 3, 5, 8, 13]

public class FiboRecur extends Fibo {

    public FiboRecur() {
        super();
    }

    public FiboRecur(int nth) {
        super(nth);
    }

    @Override
    protected void calc() {
        super.name = "FiboRecur extends Fibo";

        for (int i = 0; i < this.size; i++) {
            this.setData(fib(i));
        }
    }

    private long fib(int n) {
        if (n <= 1) return n;
        return fib(n - 1) + fib(n - 2);
    }

    static public void main(int... numbers) {
        for (int nth : numbers) {
            Fibo fib = new FiboRecur(nth);
            fib.runTest(12); // Run the speed test with 12 trials
            fib.print();
            System.out.println();
        }
    }
}

FiboRecur.main(2, 5, 8)

Average Time: 1022 nanoseconds
Times by Trial: 
Trial 1: 1486 nanoseconds
Trial 2: 875 nanoseconds
Trial 3: 729 nanoseconds
Trial 4: 780 nanoseconds
Trial 5: 1063 nanoseconds
Trial 6: 1424 nanoseconds
Trial 7: 925 nanoseconds
Trial 8: 1054 nanoseconds
Trial 9: 869 nanoseconds
Trial 10: 851 nanoseconds
Trial 11: 1042 nanoseconds
Trial 12: 1167 nanoseconds
Calculation method = FiboRecur extends Fibo
fibonacci Number 2 = 1
fibonacci List = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 0], 3=[0, 1, 0, 1], 4=[0, 1, 0, 1, 0], 5=[0, 1, 0, 1, 0, 1], 6=[0, 1, 0, 1, 0, 1, 0], 7=[0, 1, 0, 1, 0, 1, 0, 1], 8=[0, 1, 0, 1, 0, 1, 0, 1, 0], 9=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 10=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 11=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 12=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 13=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 14=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 15=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 16=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 17=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 18=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 19=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 20=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 21=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 22=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 23=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 24=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], 25=[0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]

Average Time: 2683 nanoseconds
Times by Trial: 
Trial 1: 2366 nanoseconds
Trial 2: 2523 nanoseconds
Trial 3: 2025 nanoseconds
Trial 4: 2535 nanoseconds
Trial 5: 2159 nanoseconds
Trial 6: 2273 nanoseconds
Trial 7: 2185 nanoseconds
Trial 8: 2129 nanoseconds
Trial 9: 6740 nanoseconds
Trial 10: 2322 nanoseconds
Trial 11: 2531 nanoseconds
Trial 12: 2417 nanoseconds
Calculation method = FiboRecur extends Fibo
fibonacci Number 5 = 3
fibonacci List = [0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 0], 6=[0, 1, 1, 2, 3, 0, 1], 7=[0, 1, 1, 2, 3, 0, 1, 1], 8=[0, 1, 1, 2, 3, 0, 1, 1, 2], 9=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 10=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 11=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 12=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 13=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 14=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 15=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 16=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 17=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 18=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 19=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 20=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 21=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 22=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 23=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 24=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 25=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 26=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 27=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 28=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 29=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 30=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 31=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 32=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 33=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 34=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 35=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 36=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 37=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 38=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 39=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 40=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 41=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 42=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 43=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 46=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 47=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 48=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 49=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 50=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 51=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 52=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 53=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 54=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 55=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 56=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 57=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 58=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 59=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3], 60=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0], 61=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1], 62=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1], 63=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2], 64=[0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]

Average Time: 3716 nanoseconds
Times by Trial: 
Trial 1: 3949 nanoseconds
Trial 2: 3882 nanoseconds
Trial 3: 3911 nanoseconds
Trial 4: 3698 nanoseconds
Trial 5: 3553 nanoseconds
Trial 6: 3826 nanoseconds
Trial 7: 3459 nanoseconds
Trial 8: 3370 nanoseconds
Trial 9: 3732 nanoseconds
Trial 10: 3578 nanoseconds
Trial 11: 3632 nanoseconds
Trial 12: 4005 nanoseconds
Calculation method = FiboRecur extends Fibo
fibonacci Number 8 = 13
fibonacci List = [0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]
fibonacci Hashmap = {0=[0], 1=[0, 1], 2=[0, 1, 1], 3=[0, 1, 1, 2], 4=[0, 1, 1, 2, 3], 5=[0, 1, 1, 2, 3, 5], 6=[0, 1, 1, 2, 3, 5, 8], 7=[0, 1, 1, 2, 3, 5, 8, 13], 8=[0, 1, 1, 2, 3, 5, 8, 13, 0], 9=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 10=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 11=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 12=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 13=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 14=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 15=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 16=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 17=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 18=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 19=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 20=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 21=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 22=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 23=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 24=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 25=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 26=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 27=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 28=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 29=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 30=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 31=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 32=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 33=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 34=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 35=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 36=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 37=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 38=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 39=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 40=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 41=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 42=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 43=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 44=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 45=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 46=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 47=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 48=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 49=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 50=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 51=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 52=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 53=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 54=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 55=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 56=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 57=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 58=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 59=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 60=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 61=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 62=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 63=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 64=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 65=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 66=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 67=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 68=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 69=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 70=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 71=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 72=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 73=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 74=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 75=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 76=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 77=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 78=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 79=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 80=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 81=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 82=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 83=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 84=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 85=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 86=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 87=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 88=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 89=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 90=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 91=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 92=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 93=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 94=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 95=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13], 96=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0], 97=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1], 98=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1], 99=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2], 100=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3], 101=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5], 102=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8], 103=[0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13, 0, 1, 1, 2, 3, 5, 8, 13]}
fibonacci Sequence 1 = [0]
fibonacci Sequence 2 = [0, 1]
fibonacci Sequence 3 = [0, 1, 1]
fibonacci Sequence 4 = [0, 1, 1, 2]
fibonacci Sequence 5 = [0, 1, 1, 2, 3]
fibonacci Sequence 6 = [0, 1, 1, 2, 3, 5]
fibonacci Sequence 7 = [0, 1, 1, 2, 3, 5, 8]
fibonacci Sequence 8 = [0, 1, 1, 2, 3, 5, 8, 13]

Popcorn Hacks

Objectives of these hacks are …

Understand how to fullfill abstract class requirements using two additional algoritms.
Use inheritance style of programming to test speed of each algorithm. To test the speed, a.) be aware that the first run is always the slowest b.) to time something, my recommendation is 12 runs on the timed element, through out highest and lowest time in calculations.
Be sure to make a tester and reporting methods.

.85 basis for text based comparison inside of Jupyter Notebook lesson

Hacks

Assign in each Team to build a Thymeleaf UI for portfolio_2025 using this example https://thymeleaf.nighthawkcodingsociety.com/mvc/fibonacci as basis. Encorporate into Algorithms menu.

Since there are three teams, one team can do Fibo, others Pali and Factorial. Assign this to people that are struggling for contribution and presentation to checkpoints.

.90 basis for FE presentation in Thymmeleaf to BE call in Spring

Trimester 2 Final Review

06 Feb 2025 • Project Work

Trimester 2 Retrospective.

My Feature: Queue Status before trimester began:

Feature was not deployed
All control, including teacher were on one page
Disorganized system of storing queues
Backend did not store anything other than queue

5-Point Summary

Made queue usable on a deployed site
- Any controls used by teacher were moved to a page on spring. Frontend features were limited to add and remove from queue.
- Queue is stored as table, uses converter to convert to JSON
- Queue automatically updates, no need to refresh
- Created a modal to connect to assignment

Key Commits:
Queue Refresh - Image 3
Queue Converter
Separation into Backend and Frontend HTML page - Image 1
Assignment Modal - Image 2

Planning Issue

Implemented feedback and learnings from first usage.
Queue was first used during a checkpoint in January. I learned several things, as I will always know how to use my feature, but other people might not and did not, resulting in several bugs.
- Buttons can only be clicked once, and check that user is in appropriate list, avoiding null errors.
- Timer count down is displayed in page title so user can view time while presenting.

Key Commits:
Feedback: Updating Names - All Images
Timer update: no null spam, timer in title - Image 5
Check if user is in correct queue - Image 4, 6

Planning Issue

Integration and Expansion of feature.
On the first review, we had to go up individually, even though feature groups would have been more efficient.
- Allowed teacher to choose group set of people to enter queue, allowing feature teams to be tracked in queue and present. Any user in queue could move team over.
- Stored presentation length on backend, allowing teacher to set a dynamic presentation length.
- Integration with table management to view gitHub profile based on click from backend

Key Commits:
Frontend support for Groups
Presentation Length: What can be done quickly, with practice

Planning Issue

Team Teach.
Presented team teach on classes.
- After first team teach, needed a way to keep other students attention, many people stopped paying attention. Introduced new FRQ format where people had to work together to answer an FRQ.
- Introduced intentional mistakes to keep people’s eyes open and ensure that they stay attentive. Format improved attention and was used in following team teaches.

Key Commits:
Practice FRQ walkthrough
Classes tips
Team Teach

New convert_notebooks.py to automatically display mermaid images.
- Modified convert_notebooks.py to convert any mermaid cells into an image, then display the image in the converted md file
- Helped others set up mermaid and customize to their blog structure

Key Commits:
Mermaid convert_notebooks.py

Process and Ideation Blog

Reflection and the Future

Next Steps:

Group creator feature in conjunction
Auto update name changes of users
Is and Has relationships in mermaid

Growths

Finished a working feature that was deployed and usable in class
Took feedback based upon usage, realized the difficulty in making it usable for others, not just yourself who created it, and made it usable

Weaknesses

Sometimes, need to take a step back and delegate work, letting others do and learn
Need to have better monitoring system and review system/communication for pull requests. PRs containing things such as localhost links destroyed website more times than preferred. Improved over trimester, need to continue to improve
- This was improved with recommended measures before N@tM, and successful demonstrations of features were held.
- Also split up features into individual branches, ensuring that nobody messes with other files

Feature Details

The end goal with this is to allow future classes to continue to build upon the work we did. Part of this is documentation, and hence I decided to keep my combined mermaid diagram with the Calendar feature and hope that others continue to add on.
Feature Write Up: LINK
Diagram Summary: In Conjunction with Calendar

Mermaid Diagram

MCQ

Score 34/39. Score was OK but more silly mistakes were made than I would’ve liked. MCQ Corrections: LINK
Biggest Mistake: Not reading carefully. Need to read after how many times loop passes, double check selected correct answer, etc.

Night at the Museum

N@tM was a successful presentation. Me and Jon presented our projects to teachers, parents and students, and received feedback. Some of this feedback was minor fixes such as a centering issue that I didn’t notice, but the biggest piece was that there should be a button if you would like to end your presentation early. This was reflected by several parents and several teachers (i.e. Mr. Askegreen).

Other Projects

I walked around to other projects and provided some feedback on their feedback forms. One project that stood out was a national park review and travel tool. This project stood for me because of an interest in National Parks. Gave some recommendations, such as storing national park data on backend in addition to comment and review data.

A Side Project w/ A Fun Story

Story told during presentation.

Project | Progress Check

05 Feb 2025 • Project Work

Mermaid Diagram

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