Array Index Out Of Bounds Exception Java Prime Numbers [duplicate] - java

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What causes a java.lang.ArrayIndexOutOfBoundsException and how do I prevent it?
(26 answers)
Closed 3 years ago.
I've been trying to dive into java development and have gone for a relatively easy problem of finding prime numbers, however, I keep getting errors and can't see what I've done wrong, any help?
I've been toiling over my computer for an infuriating while and have tried everything, even rewriting the code from beginning
public class HelloWorld{
public static void main(String []args){
int[] check = {2};
//cycle through numbers 1-100
for (int i = 1; i < 100; i++) {
//cycle through numbers to be checked against i
for (int x = 0; x < 101; x++) {
//check if the current itteration of i has no multiples
if (i%check[x] == 0) {
check[i] = i;
} else {
// print any prime numbers
System.out.print(i);
check[i] = i;
}
}
}
}
}

The immediate cause of your error is that you defined the check[] array to have a size of 1, but you are trying to access elements higher than that, which don't exist. However, I don't think that you really need that array here. Consider this version:
for (int i=2; i < 100; i++) {
boolean match = true;
for (int x=2; x <= Math.sqrt(i); x++) {
if (i % x == 0) {
match = false;
break;
}
}
if (match) {
System.out.println("Prime number: " + i);
}
}
Note that the inner loop in x only needs to go as high as the square root of the outer i value. This is because any value greater than sqrt(i) can't possible divide it.

It is because your array has length 1
and you are trying to access out of bound indexes. In case you are lopping 0 to 101 You can initialize your array like this int [] check =new int [101]

Related

Find Prime Numbers based on user input [closed]

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Closed 8 years ago.
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I have these two methods that i am using to find prime numbers based on user input, i have a method called isPrime that logically should return true if a number is prime, however it always return true no matter what the number is?
I realise there are plenty of answers similar to my query but none have helped so far.
public static void userPrimes(){
int[] tempPrimes = new int[49];
int primesFound = 0;
//Input Amount of numbers to be analysed
int[] initial = new int[Integer.parseInt(JOptionPane.showInputDialog("Enter Amount of numbers to be checked")) -1];
//Input Values
for(int i = 0; i<initial.length; i++){
initial[i] = Integer.parseInt(JOptionPane.showInputDialog("Enter number at position:" + (i+1)));
if (initial[i] > 49){
initial[i] = Integer.parseInt(JOptionPane.showInputDialog("Numbers cannot be greater than 49, Try again:"));
}
}
for(int i = 0; i<initial.length; i++){
if (isPrime(initial[i]) == true){
tempPrimes[i] = initial[i];
primesFound++;
}
}
int[] finalPrimes = new int[primesFound];
for (int i=0;i<finalPrimes.length;i++){
finalPrimes[i] = tempPrimes[i];
System.out.print(finalPrimes[i] + " ");
}
}
//checks whether an int is prime or not.
static boolean isPrime(int n) {
for(int j = 2; j < n; j++) {
if(n % j == 0) {
return false;
}
}
return true;
}
You have some problems in your code:
1.
int[] initial = new int[Integer.parseInt(JOptionPane.showInputDialog("Enter Amount of numbers to be checked")) -1];
The array should be in length of the amount that the user entered, not minus 1
2.
if (isPrime(initial[i]) == true){
tempPrimes[i] = initial[i];
primesFound++;}
You should put the primes in the temp primes array in tempPrimes[primesFound]
Also, your final loop is not useful.You can do the printing in the previous loop
Your isPrime function is fine but as performance wise is concerned you need to iterate till half of the number rather than iterating till number
boolean x = isPrime(13);
System.out.println(x);
static boolean isPrime(int n) {
for(int j = 2; j <= n/2; j++) {
if(n % j == 0) {
return false;
}
}
return true;
}
returns true and passing 14 returns false..it works perfect here..
might be the problem is with your loop code which is calling this method
modify this line by by removing -1
no need to do minus 1 as it reduces the no of input to user by one .
if user inputs amount as 3 then -1 makes him to enter only 2 numbers. so make it as below
int[] initial = new int[Integer.parseInt(JOptionPane.showInputDialog
("Enter Amount of numbers to be checked"))];
use only one loop as below to print all prime numbers
for(int i = 0; i<initial.length; i++){
if (isPrime(initial[i]) == true){
tempPrimes[i] = initial[i];
System.out.println(tempPrimes[i]);
}
}

finding the number of pairs of numbers in an array that add up to a number

I am trying to come up with a program that will search inside of an array that is given a length by the user that picks out whether there is a pair of numbers that sum to 7. The idea is that if there is k amount of dice being thrown, how many pairs of numbers out of those dice thrown add up to 7. So far this is all that I could come up with but I am very stuck.
This is the driver class for the program. I have to write a class that will make this driver function properly.
import java.util.Scanner;
public class SevenDriver{
public static void main(String[] args){
System.out.println("Enter number of dice to toss");
Scanner s = new Scanner(System.in);
int diceCount = s.nextInt();
SevenTally t = new SevenTally(diceCount);
int experiments = 1000000;
int wins = 0;
for(int j = 0; j < experiments; j++)
if(t.experiment()) wins++;
System.out.println((double)wins/experiments);
}
}
This is what I have so far. It does not currently work or compile. I am just looking for some ideas to get me going. Thanks!
public class SevenTally{
private int diceCount;
public SevenTally(int die){
diceCount = die;
}
public int genDice(){
return 1 + (int)(Math.random()*6);
}
public boolean experiment(){
boolean[] nums = new boolean[diceCount];
int ranNum;
int sum = 7;
for(int i = 0; i < nums.length; i++){
ranNum = genDice();
if (nums[ranNum] == sum){
return true;
}
}
int left = 0;
int right = nums.length - 1;
while(left<right){
int tempSum = nums[left] + nums[right];
if(tempSum == 7){
return true;
}
else if(tempSum>7){
right--;
}
return false;
}
}
First populate your array of length k with random int in [1;6]
The number of possible pairs in an array of length k is the number of 2-combinations in the array, which is (k-1)*k/2 (http://en.wikipedia.org/wiki/Combination)
You can test all the possible pairs (i,j) in your array like so:
int win = 0;
int tally = 7;
for(int i=0; i<k-1; i++){
for(int j=i+1; j<k; j++){
if(array[i]+array[j] == tally){
win++;
}
}
}
What this does is that it sets the first element of the pair to be the first element of the array, and sums it with the other elements one after the other.
It pairs array[0] with array[1] to array[k-1] at the first pass of the i for loop, that's k pairs.
Then k-1 pairs at second pass, and so on.
You end up with (k)+(k-1)+(k-2)+...+1 pairs, and that's exactly (k-1)*k/2 pairs.
done =]
edit: sorry, haven't read the whole thing. the method experiment() is supposed to return a boolean. you can return win>0?true:false; for example...
This Wiki page has some algorithms to do that. Its not a trivial problem...
You're generating a random number in ranNum, and then using it as an index into the array nums. Meanwhile, nums never gets filled, so no matter which box you index into, it never contains a 7.
What you want to do, if I understand your problem correctly, is fill each space in the array with the result of a die roll, then compare every two positions (rolls) to see if they sum to seven. You can do that using a nested for loop.
Essentially, you want to do this: (written in pseudocode as I'm not a java programmer)
int[] results[numrolls]
for (count = 0 to numrolls-1) { results[numrolls]=dieRoller() }
for (outer = 0 to numrolls-2)
for (inner = outer+1 to numrolls-1)
if (results[outer] + results[inner] == 7) return true
return false;
However, in this case there's an even easier way. You know that the only ways to get a sum of 7 on 2d6 are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1). Set up a 6-length boolean array, roll your dice, and after each roll set res[result] to true. Then return (1-based array used for simplicity) ( (res[1] && res[6]) || (res[2] && res[5]) || (res[3] && res[4]) ).
ArrayIndexOutOfBoundsException means you are trying to access an element of the array that hasn't been allocated.
In your code, you create a new array d of length diceCount, but then you genDice() on always 6 elements.

Efficient way of generating all combinations of 12 numbers that add to 100 in Java [duplicate]

This question already has an answer here:
How to iterate through array combinations with constant sum efficiently?
(1 answer)
Closed 9 years ago.
I have 12 products at a blend plant (call them a - l) and need to generate varying percentages of them, the total obviously adding up to 100%.
Something simple such as the code below will work, however it is highly inefficient. Is there a more efficient algorithm?
*Edit: As mentioned below there are just too many possibilities compute, efficiently or not. I will change this to only having a maximum of 5 or the 12 products in a blend and then running it against the number of ways that 5 products can be chosen from the 12 products.
There is Python code that some of you have pointed to that seems to work out the possibilities from the combinations. However my Python is minimal (ie 0%), would one of you be able to explain this in Java terms? I can get the combinations in Java (http://www.cs.colostate.edu/~cs161/Fall12/lecture-codes/Subsets.java)
public class Main {
public static void main(String[] args) throws FileNotFoundException, UnsupportedEncodingException {
for(int a=0;a<=100;a++){
for(int b=0;b<=100;b++){
for(int c=0;c<=100;c++){
for(int d=0;d<=100;d++){
for(int e=0;e<=100;e++){
for(int f=0;f<=100;f++){
for(int g=0;g<=100;g++){
for(int h=0;h<=100;h++){
for(int i=0;i<=100;i++){
for(int j=0;j<=100;j++){
for(int k=0;k<=100;k++){
for(int l=0;l<=100;l++){
if(a+b+c+d+e+f+g+h+i+j+k+l==100)
{
System.out.println(a+" "+b+" "+c+" "+d+" "+e+" "+f+" "+g+" "+h+" "+i+" "+j+" "+k+" "+l);
}}}}}}}}}}}}}
}
}
Why make it so difficult. Think simple way.
To explain the scenario simpler, consider 5 numbers to be generated randomly. Pseudo-code should be something like below.
Generate 5 random number, R1, R2 ... R5
total = sum of those 5 random number.
For all item to produce
produce1 = R1/total; // produce[i] = R[i]/total;
Please, don't use nested for loops that deep! Use recursion instead:
public static void main(String[] args) {
int N = 12;
int goal = 100;
generate(N, 0, goal, new int[N]);
}
public static void generate(int i, int sum, int goal, int[] result) {
if (i == 1) {
// one number to go, so make it fit
result[0] = goal - sum;
System.out.println(Arrays.toString(result));
} else {
// try all possible values for this step
for (int j = 0; j < goal - sum; j++) {
// set next number of the result
result[i-1] = j;
// go to next step
generate(i-1, sum + j , goal, result);
}
}
}
Note that I only tested this for N = 3 and goal = 5. It absolutely makes no sense to try generating all these possibilities (and would take forever to compute).
Let's take your comment that you can only have 5 elements in a combination, and the other 7 are 0%. Try this:
for (i = 0; i < (1<<12); ++i) {
if (count_number_of_1s(i) != 5) { continue; }
for (j = 0; j < 100000000; ++j) {
int [] perc = new int[12];
int val = j;
int sum = 0;
int cnt = 0;
for (k = 0; k < 12; ++k) {
if (i & (1 << k)) {
cnt++;
if (cnt == 5) {
perc[k] = 100 - sum;
}
else {
perc[k] = val % 100;
val /= 100;
}
sum += perc[k];
if (sum > 100) { break; }
}
else { perc[k] = 0; }
}
if (sum == 100) {
System.out.println(perc[0] + ...);
}
}
}
The outer loop iterates over all possible combinations of using 12 items. You can do this by looping over all numbers from 1:2^12, and the 1s in the binary representation of that number are the elements you're using. The count_number_of_1s is a function that loops over all the bits in the parameter and returns the number of 1s. If this is not 5, then just skip this iteration because you said you only want at most 5 mixed. (There are 792 such cases).
The j loop is looping over all the combinations of 4 (not 5) items from 0:100. There are 100^4 such cases.
The inner loop is looping over all 12 variables, and for those that have a 1 in their bit-position in i, then it means you're using that one. You compute the percentage by taking the next two decimal digits from j. For the 5th item (cnt==5), you don't take digits, you compute it by subtracting from 100.
This will take a LONG time (minutes), but it won't be nearly as bad as 12 nested loops.
for(int a=0;a<=100;a++){
for(int b=0;b<=50;b++){
for(int c=0;c<=34;c++){
for(int d=0;d<=25;d++){
for(int e=0;e<=20;e++){
for(int f=0;f<=17;f++){
for(int g=0;g<=15;g++){
for(int h=0;h<=13;h++){
for(int i=0;i<=12;i++){
for(int j=0;j<=10;j++){
for(int k=0;k<=10;k++){
for(int l=0;l<=9;l++){
if(a+b+c+d+e+f+g+h+i+j+k+l==100)
{
// run 12 for loops for arranging the
// 12 obtained numbers at all 12 places
}}}}}}}}}}}}}
In Original approach(permutation based), the iterations were 102^12 = 1.268e24. Even though the 102th iteration was false, it did check the loop terminating condition for 102th time.
So you had 102^12 condition checks in "for" loops, in addition to "if" condition checks 101^12 times, so in total, 2.4e24 condition checks.
In my solution(combination based),No of for loop checks reduces to 6.243e15 for outer 12 loops, &
if condition checks = 6.243e15.
Now, the no of for loops(ie inner 12 for loops) for every true "if" condition, is 12^12 = 8.9e12.
Let there be x number of true if conditions. so total condition checks
=no of inner for loops*x
= 8.9e12 * x + 6.243e15
I'm not able to find the value of x. however, I believe it wouldnt be large enough to make total conditon checks greater than 2.4e24

What is wrong with my backtracking algorithm? [closed]

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.
Closed 9 years ago.
I am working on a program that generates sudoku puzzles. I was trying to use a backtracking algorithm to do this but my program is not working. The program just runs infinitely and never returns a solution. I don't know if its just a minor problem or I misunderstand how to write a backtracking algorithm.
package sudoku;
import java.util.Random;
public class Puzzle {
// 9x9 puzzle
private int puzzle[][] = new int[9][9];
// generate a completely solved sudoku board
public int[][] generate() {
Random gen = new Random();
// add each number to the board square by square
for (int y = 0; y < 9; y++) {
for (int x = 0; x < 9; x++) {
// generate random number 1-9
int num = gen.nextInt(9) + 1;
int count = 0;
boolean valid = false;
while (valid == false) {
// check if number is valid
if (checkRow(num, x) && checkCol(num, y)
&& checkSection(num, x, y)) {
// add number to the board
puzzle[x][y] = num;
// exit loop, move on to next square
valid = true;
} else {
// try next number
if (num == 9) {
num = 1;
} else {
num++;
}
// increase counter.
count++;
// if counter reached 9, then all numbers were tried and
// none were valid, begin backtracking
if (count == 9) {
// go back 1 square
if (x == 0) {
x = 8;
y--;
} else {
x--;
}
// empty square
puzzle[x][y] = 0;
//reset count
count = 0;
}
}
}
}
}
return puzzle;
}
// check each element of the row for num, if num is found return false
private boolean checkRow(int num, int row) {
for (int i = 0; i < 9; i++) {
if (puzzle[row][i] == num) {
return false;
}
}
return true;
}
// check each element of the column for num, if num is found return false
private boolean checkCol(int num, int col) {
for (int i = 0; i < 9; i++) {
if (puzzle[i][col] == num) {
return false;
}
}
return true;
}
// check each element of the section for num, if num is found return false
private boolean checkSection(int num, int xPos, int yPos) {
int[][] section = new int[3][3];
section = getSection(xPos, yPos);
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
if (section[i][j] == num)
return false;
}
}
return true;
}
// return the 3x3 section the given coordinates are in
private int[][] getSection(int xPos, int yPos) {
int[][] section = new int[3][3];
int xIndex = 3 * (xPos / 3);
int yIndex = 3 * (yPos / 3);
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
section[i][j] = puzzle[xIndex + i][yIndex + j];
}
}
return section;
}
}
There are a number of issues that may happen. I will just put an example.
The principal reason backtracking is not working is because you are not doing backtracking. You only go back one state in the tree, backtracking means that you check all possibilities of a subtree and then (if none is valid) you ignore that subtree, no matter how high is it.
Let's see. Your approach is "put all the numbers in a line and hope that the square gets completed. In case there is an error dealing with the current square, clear the previous one".
At the beginning no problem, getting the first lines will cause no error. But think of the possibility that you have completed the first 8 lines, with something like that:
1
2
3
----
4
5
6
---
79
832|179|456
x
There is no valid value for x. What does your algorithm do? Go back and try to change the 6! Unsurprisingly, that will end with replacing the 6 with a 6, and trying again to set a value to x.
Sudokus generators that I found in the internet have no backtracking, just take a valid solution and perform a series of changes to it, in a way that all the changes bring valid solutions (for more details, ask google).
If you wanted to use backtracking, at each step you should scan if the sudoku is still solvable (or at least, that is not "broken"). And have a way of not repeating the non-solvable combinations.
Additionally, trying to put the numbers in order seems (that is an opinion) to add a constraint too strong at the beginning. Filling the first two lines is easy, but it will condition the entire solution (note that filling the first line does not affect it! :-D).
I don't think that this is a good way to approach the problem; unfortunately, I don't have a solution for you, but I do see that once count == 9, you change x and y, which isn't something that's necessarily good to do. Nonetheless, you do not provide a way to terminate the while(!valid) loop. You need to change valid to true to actually backtrack; however, this won't make the method work.

java.lang.ArrayIndexOutOfBoundsException: 2 >= 2

I'm brand new to Java and my first assignment was to implement a "for" loop. I wrote this program in C++ and it compiles in Java, but I got an error at runtime. Can anyone tell me what's wrong?
import java.util.Scanner;
import java.util.Vector;
public class GlobalMembersMain
{
public static Vector<Integer> get_prime_factors(int number)
{
Vector<Integer> primefactors = new Vector<Integer>();
for (int j = 2; j <= number; j++)
{
if (number % j == 0)
{
primefactors.add(j);
number = number / j;
j = 1;
}
}
return primefactors;
}
public static void main(String[] args)
{
int number;
int count = 1;
System.out.print("Enter integer to analyse:");
System.out.print("\n");
Scanner scan = new Scanner(System.in);
number = scan.nextInt();
Vector<Integer> primefactors = new Vector<Integer>();
primefactors = get_prime_factors(number);
System.out.print("Prime factors are ");
for (int a = 0; a < primefactors.size() + 1; a++)
{
if (primefactors.elementAt(a) == primefactors.elementAt(a+1))
{
count++;
}
else
{
System.out.print(primefactors.elementAt(a));
System.out.print(" (");
System.out.print(count);
System.out.print(") ");
count = 1;
}
}
System.out.print("\n");
}
}
The output:
Enter integer to analyse:
10
Prime factors are 2 (1) Exception in thread "main" java.lang.ArrayIndexOutOfBoun
dsException: 2 >= 2
at java.util.Vector.elementAt(Unknown Source)
at GlobalMembersMain.main(GlobalMembersMain.java:36)
for (int a = 0; a < primefactors.size() + 1; a++)
{
if (primefactors.elementAt(a) == primefactors.elementAt(a+1))
{
count++;
}
Is exceeding the size of the primefactors collection. By 2, in fact.
Change to primefactors.size() - 1 to avoid this error.
Arrays are zero based, which I imagine you are aware of. What you may not be aware of is that in Java a List is backed by an array as well. When you invoke primefactors.size() +1 you are getting one more than you would possibly want. For instance is pf is of size 1 your loop will do the following:
pf.get(0); //returns the only value in the list
pf.get(1); // element doesn't exist
Now the other thing is you do not want to use Vector, generally speaking in Java. It is a synchronized collection. What you want is List/ArrayList.
OTHER CODE ISSUES
public static Vector<Integer> get_prime_factors(int number)
this does not need to be static. Also naming convention is camel case in Java so your function name should be getPrimeFactors(int number)
GlobalMembersMain
Should most likely be named GlobalMember as classes are to be singular in nature and I believe you added Main to indicate it was the class that holds the main function.
In your main function you would do this:
GlobalMember member = new GlobalMember();
member.getPrimeFactors(number);
This is where the problem is:
for (int a = 0; a < primefactors.size() + 1; a++)
{
if (primefactors.elementAt(a) == primefactors.elementAt(a+1))
{
count++;
}
//...
primefactors.elementAt(a+1) for the last element in your collection will throw the exception (AIOB).
Remember that arrays, lists and vectors in Java are zero-based. In your case, the primefactors vector will consist of two elements, available at index 0 and 1 respectively.
The problem you are facing is that you try to access the element primefactors.elementAt(2) which does not exist.
One problem is the break condition in the loop:
for (int a = 0; a < primefactors.size() + 1; a++) {
// ...
}
The first time, a will be 0, the second time 1 which are both fine. However, the loop will not break the third time, because a will equal 2, which is less than primefactors.size() + 1. Consequently, there will be a call to primefactors.elementAt(2) which does not exist and the program will blow up.
There is also a second problem inside the loop since you increment the loop variable by one during the comparison:
if (primefactors.elementAt(a) == primefactors.elementAt(a+1)) {
// ...
}
Yet again, your program will fail if you pass 2 as an argument to primefactors.elementAt(...)

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