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NullPointerException when I try to call a method outside my main method

In the following code I am attempting to read input from a user as a string, then store said input into a ArrayList. I created a separate method that is supposed to take the user input from the main and manipulate it into the ArrayList. My problem is that my code throws a NullPointerException when trying to pass the input data from my main method into the seperate method of the same class.

Error Messages I recieve:

Exception in thread "main" java.lang.NullPointerException at SummationPuzzle.convertStr(SummationPuzzle.java:22) at SummationPuzzle.main(SummationPuzzle.java:96)

import java.util.*;

public class SummationPuzzle 
{

    public static ArrayList<Character> fsList;
    public static ArrayList<Character> lastW;
    public static ArrayList<Character> finaList;

    /**
     * Reads in 3 words entered by user and converts the first two string into a single <Character> ArrayList
     * takes the third string entered and converts it into it's own <Character>ArrayList
     * @param firstW
     * @param secondW
     * @param thirdW
     */
    public static void convertStr(String firstW, String secondW, String thirdW)
    {
        String combined = new String(firstW + secondW); 
        for(int i = 0; i< combined.length(); i++)
        {
            fsList.add(combined.charAt(i));
            for(int j = 0; j< thirdW.length(); j++)
            {
                lastW.add(thirdW.charAt(j));
            }
        }
        removeDuplicate(fsList, lastW);
        //feeds the resulting lists into the removeDuplicate method
    }

    /**
     * Combines two <Character> ArrayList into a one <Character> ArrayList with single instances of the char
     * @param fsList
     * @param lastW
     */
    public static void removeDuplicate(ArrayList<Character> fsList, ArrayList<Character> lastW)
    {
        ArrayList<Character> tempList = new ArrayList<Character>();
        tempList.addAll(fsList);
        tempList.addAll(lastW);
        for(char dupLetter : tempList)
        {
            if(!finaList.contains(dupLetter))
            {
                finaList.add(dupLetter);
            }
        }
        System.out.println(finaList + "This is the list with duplicates removed");
        assignNum(finaList, lastW);
        //feeds results into the assignNum method
    }

    /**
     * Assigns a random number to the char that resides at each address in the <Character> ArrayList
     * if the First char in the lastW ArrayList is present in the finaList <Character> ArrayList then the program
     * assigns that character the value of "1"
     * @param finaList
     * @param lastW
     */
    public static void assignNum(ArrayList<Character> finaList, ArrayList<Character> lastW)
    {
        char[] assignLetter= new char[finaList.size()];
        Random r = new Random();
        for(int i = 0; i< assignLetter.length; i++)
        {
            assignLetter[i] = finaList.get(i);
            assignLetter[i] = (char)r.nextInt(assignLetter.length);
            System.out.println((long)assignLetter[i]);
            if(lastW.get(0).equals(assignLetter[i]))
            {
                assignLetter[i] = 1;
            }
        }

        System.out.println(assignLetter.toString() + "This is the list with numbers assigned");

    }


    //main method
    public static void main(String[] args)

    {
        //Receive user input
        Scanner userIn = new Scanner(System.in);
        System.out.println("Please enter your first word");
        String firstW = userIn.next().trim();
        System.out.println("Please enter your Second word");
        String secondW = userIn.next().trim();
        System.out.println("Please enter your Third word");
        String thirdW = userIn.next().trim();


        //print the summation puzzle
        System.out.println(firstW+ " + " + secondW + " = "+ thirdW);
        convertStr(firstW, secondW, thirdW);
    }
}

you have declared arrays, but not init them:

public static ArrayList<Character> fsList = new ArrayList<Character>();
public static ArrayList<Character> lastW = new ArrayList<Character>();
public static ArrayList<Character> finaList = new ArrayList<Character>();
 public static ArrayList<Character> fsList = new ArrayList<Character>();
 public static ArrayList<Character> lastW = new ArrayList<Character>();
 public static ArrayList<Character> finaList = new ArrayList<Character>();

not initialize any more. So only you got null pointer exception.

fsList必须在使用前初始化:

fsList = new ArrayList<Character>();

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