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How do i put the total sum of prime numbers first, then the prime numbers below it

I'm currently using this code, and I'm trying to output the total sum of how many prime numbers first and then the prime numbers list
Here is my code:
import java.util.*;
public class PrimeTime {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int r, s = 0;
System.out.print("Input number: ");
r = sc.nextInt();
System.out.println();
for (int i = 2; i < r; i++) {
int f = 0;
for (int j = 2; j < i; j++) {
if (i%j == 0)
f = 1;
}
if (f == 0) {
System.out.print(i+ " ");
s = s +1;
}
}
System.out.println("N =" +s);
}
}
This is the result I get:
Input number: 10
2 3 5 7 N = 4
But what I'm looking for is this result:
Input number: 10
N = 4
2 3 5 7
I don't know how, I tried putting the S.O.P in different places and I can't figure out how.

If you want to display N = 4 before 2 3 5 7, you can append the numbers (i.e. 2 3 5 7) to a StringBuilder and print the same after printing N = 4 e.g.
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int r, s = 0;
StringBuilder numbers = new StringBuilder();
System.out.print("Input number: ");
r = sc.nextInt();
System.out.println();
for (int i = 2; i < r; i++) {
int f = 0;
for (int j = 2; j <= Math.sqrt(i); j++) {
if (i % j == 0)
f = 1;
}
if (f == 0) {
numbers.append(i).append(' ');// Append to StringBuilder instead of printing
s = s + 1;
}
}
System.out.println("N =" + s);
System.out.println(numbers);
}
}
A sample run:
Input number: 10
N =4
2 3 5 7
Note: for checking the primality, checking up to Math.sqrt(i) is sufficient i.e. you should replace j < i with j <= Math.sqrt(i).

You can store the numbers in a list and then print them after the loop is over
Don't worry if you have not studied lists yet cause you will have to soon anyways.
here's the code:
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int r, s = 0;
LinkedList<Integer> list = new LinkedList<>();
System.out.print("Input number: ");
r = sc.nextInt();
System.out.println();
for (int i = 2; i < r; i++) {
int f = 0;
for (int j = 2; j < i; j++) {
if (i%j == 0)
f = 1;
}
if (f == 0) {
//System.out.print(i+ " ");
list.add(i);
s = s +1;
}
}
System.out.println("N = " +s);
for(int i = 0; i<list.size(); i++ ) {
System.out.print(list.get(i) + " ");
}
}

ADAGAME4 Spoj Wrong Answer

Below is a Archive PROBLEM from SPOJ. Sample testCase is passing, but I am getting W/A on submission. I am missing some testCase(testCases). Need help to figure out what case I am missing and/or what I am doing wrong here.
Ada the Ladybug is playing Game of Divisors against her friend Velvet Mite Vinit. The game has following rules. There is a pile of N stones between them. The player who's on move can pick at least 1 an at most σ(N) stones (where σ(N) stands for number of divisors of N). Obviously, N changes after each move. The one who won't get any stones (N == 0) loses.
As Ada the Ladybug is a lady, so she moves first. Can you decide who will be the winner? Assume that both players play optimally.
Input
The first line of input will contain 1 ≤ T ≤ 10^5, the number of test-cases.
The next T lines will contain 1 ≤ N ≤ 2*10^7, the number of stones which are initially in pile.
Output
Output the name of winner, so either "Ada" or "Vinit".
Sample Input:
8
1
3
5
6
11
1000001
1000000
29
Sample Output:
Ada
Vinit
Ada
Ada
Vinit
Vinit
Ada
Ada
CODE
import java.io.*;
public class Main
{
public static int max_size = 2 * (int)Math.pow(10,7) + 1;
//public static int max_size = 25;
//public static int max_size = 2 * (int)Math.pow(10,6) + 1;
public static boolean[] dp = new boolean[max_size];
public static int[] lastPrimeDivisor = new int[max_size];
public static int[] numOfDivisors = new int[max_size];
public static void main(String[] args) throws IOException
{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
preprocess();
int t = Integer.parseInt(br.readLine());
while(t > 0)
{
int n = Integer.parseInt(br.readLine());
if(dp[n] == true)
System.out.println("Ada");
else
System.out.println("Vinit");
t--;
}
}
public static void markLastPrimeDivisor()
{
for(int i = 0 ; i < max_size ; i++)
{
lastPrimeDivisor[i] = 1;
}
for(int i = 2 ; i < max_size ; i += 2)
{
lastPrimeDivisor[i] = 2;
}
int o = (int)Math.sqrt(max_size);
for(int i = 3 ; i < max_size; i++)
{
if(lastPrimeDivisor[i] != 1)
{
continue;
}
lastPrimeDivisor[i] = i;
if(i <= o)
{
for(int j = i * i ; j < max_size ; j += 2 * i)
{
lastPrimeDivisor[j] = i;
}
}
}
/*for(int i = 1 ; i < max_size ; i++)
System.out.println("last prime of " + i + " is " + lastPrimeDivisor[i]);*/
}
public static void countDivisors(int num)
{
int original = num;
int result = 1;
int currDivisorCount = 1;
int currDivisor = lastPrimeDivisor[num];
int nextDivisor;
while(currDivisor != 1)
{
num = num / currDivisor;
nextDivisor = lastPrimeDivisor[num];
if(nextDivisor == currDivisor)
{
currDivisorCount++;
}
else
{
result = result * (currDivisorCount + 1);
currDivisorCount = 1;
currDivisor = nextDivisor;
}
}
if(num != 1)
{
result = result * (currDivisorCount + 1);
}
//System.out.println("result for num : " + original + ", " + result);
numOfDivisors[original] = result;
}
public static void countAllDivisors()
{
markLastPrimeDivisor();
for(int i = 2 ; i < max_size ; i++)
{
countDivisors(i);
//System.out.println("num of divisors of " + i + " = " + numOfDivisors[i]);
}
}
public static void preprocess()
{
countAllDivisors();
dp[0] = dp[1] = dp[2] = true;
for(int i = 3 ; i < max_size ; i++)
{
int flag = 0;
int limit = numOfDivisors[i];
//If for any i - j, we get false,for playing optimally
//the current opponent will choose to take j stones out of the
//pile as for i - j stones, the other player is not winning.
for(int j = 1 ; j <= limit; j++)
{
if(dp[i - j] == false)
{
dp[i] = true;
flag = 1;
break;
}
}
if(flag == 0)
dp[i] = false;
}
}
}

There is a subtle bug in your countDivisors() function. It assumes
that lastPrimeDivisor[num] – as the name indicates – returns the
largest prime factor of the given argument.
However, that is not the case. For example, lastPrimeDivisor[num] = 2
for all even numbers, or lastPrimeDivisor[7 * 89] = 7.
The reason is that in
public static void markLastPrimeDivisor()
{
// ...
for(int i = 3 ; i < max_size; i++)
{
// ...
if(i <= o)
{
for(int j = i * i ; j < max_size ; j += 2 * i)
{
lastPrimeDivisor[j] = i;
}
}
}
}
only array elements starting at i * i are updated.
So lastPrimeDivisor[num] is in fact some prime divisor of num, but not
necessarily the largest. As a consequence, numOfDivisors[55447] is computed
as 8 instead of the correct value 6.
Therefore in countDivisors(), the exponent of a prime factor in num
must be determined explicitly by repeated division.
Then you can use that the divisors function is multiplicative. This leads to
the following implementation:
public static void countAllDivisors() {
// Fill the `somePrimeDivisor` array:
computePrimeDivisors();
numOfDivisors[1] = 1;
for (int num = 2 ; num < max_size ; num++) {
int divisor = somePrimeDivisor[num];
if (divisor == num) {
// `num` is a prime
numOfDivisors[num] = 2;
} else {
int n = num / divisor;
int count = 1;
while (n % divisor == 0) {
count++;
n /= divisor;
}
// `divisor^count` contributes to `count + 1` in the number of divisors,
// now use multiplicative property:
numOfDivisors[num] = (count + 1) * numOfDivisors[n];
}
}
}

Prime Number in java

I wrote some code to find prime numbers up to a given number. Could you guys let me know ways to make my code more efficient or better? Or give insight on how I did? In addition, there is a problem in my code where certain numbers repeats twice or three times in a pattern. How do I fix this?
public class PrimeNumber2 {
public static void main(String[] args)
{
int max_prime = 10000;
for(int i = 3; i < max_prime; i+=2)
{
for(int j = 1; j < Math.sqrt(i); j++)
{
if(i % j == 0)
{
System.out.println(i);
}
}
}
}
}

Have a look at:
https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
This is quite a nice way of doing it.
Here is some code for you to look at:
public void runEratosthenesSieve(int upperBound) {
int upperBoundSquareRoot = (int) Math.sqrt(upperBound);
boolean[] isComposite = new boolean[upperBound + 1];
for (int m = 2; m <= upperBoundSquareRoot; m++) {
if (!isComposite[m]) {
System.out.print(m + " ");
for (int k = m * m; k <= upperBound; k += m)
isComposite[k] = true;
}
}
for (int m = upperBoundSquareRoot; m <= upperBound; m++) {
if (!isComposite[m]) {
System.out.print(m + " ");
}
}

Here´s a tuned version of yours.
I did put the check if the number is prime into a seperate method. That´s also a part of the reason why your version did print values multiple times, since if it found out that it has a divisor, then it would print the values. (Also you´r algorythm would print basicly everything despite it beeing prime or not, for example it prints 15 and 27).
The reason why it did print multiple values was, that once you found a divisor it would have printed i, but it would continue looping. If it would have found another divisor, it would print i again(you can notice that it does not only print prime numbers).
Here is the fixed version of your´s
public static void main(String[] args) {
if(isPrime(2)) {
System.out.println(2);
}
int max_prime = 10000;
for(int i = 3; i < max_prime; i+=2)
{
if(isPrime(i)) {
System.out.println(i);
}
}
}
private static boolean isPrime(int n) {
if(n<=1) return false;
if(n == 2) return true;
for(int i = 2;i*i<=n;++i) {
if(n%i == 0) return false;
}
return true;
}

Try this.
public class PrimeNumber2 {
public static void main(String[] args)
{
int max_prime = 10000;
System.out.println(2);
L: for (int i = 3; i < max_prime; i += 2)
{
for (int j = 3, max = (int)Math.sqrt(i); j <= max ; j += 2)
{
if(i % j == 0)
{
continue L;
}
}
System.out.println(i);
}
}
}

Here a way using parallelStream
System.out.println(2);
IntStream.range(1, 10000000)
.map(i -> i * 2 + 1)
.filter(i -> (i & 1) != 0 && IntStream.range(1, (int) (Math.sqrt(i)-1)/2)
.map(j -> j * 2 + 1)
.noneMatching(j -> i % j == 0)
.forEach(System.out::println);
Note: the ranges test the n-th odd number.

public static void main(String[] args) {
int upperBound = 30;
List<Integer> primes = new ArrayList<>();
// loop through the numbers one by one
for (int number = 2; number < upperBound; number++) {
boolean isPrimeNumber = true;
// check to see if the number is prime
for (int j = 2; j < number; j++) {
if (number % j == 0) {
isPrimeNumber = false;
break; // exit the inner for loop
}
}
// print the number if prime
if (isPrimeNumber) {
primes.add(number);
}
}
System.out.println("The number of prime is: " + primes.size() + ", and they are: " + primes.toString());
}
possible to dupplicate
get prime numbers and total prime numbers in range

public boolean isPrimeNumber(int number) {
for (int i=2; i<=number/2; i++) {
if (number % i == 0) {
return false;
}
}
return true;
}

Printing a triangle of prime numbers using for loop

I am trying to make a triangle of prime numbers .. the number of rows will be user defined
for example if user gives "4" as number of rows then the program should show a triangle of prime numbers containing 4 rows
input :4
output :
2
3 5
7 11 13
17 19 23 29

These are two tasks: get the list of primes (or just something like nextPrime(int)) and get the triangle, both are very simple.
For the implementation of first, you may look at Next Prime number Java only working with certain numbers
For the implementation of second, just do something like:
for (int i = 1; i <= n; ++i) {
for (int j = 0; j < i; ++j) {
nextPrime = ...
System.out.print (nextPrime + " ");
}
System.out.println ();
}

Let say you already have your primes (sufficient amount).
int[] primes = ...;
Then for N strings create array is StringBuilders and fill them up with your numbers:
StringBuilder[] builders = new StringBuilder[N];
int count = 0;
for(int row = 0; row < N; row++) {
int size = row + 1;
builders[row] = new StringBuilder();
for(int i = 0; i < size; i++) {
builders[row].append(primes[count++]);
builders[row].append(' ');
}
}
And then you may print them
for(StringBuilder sb : builders)
System.out.println(sb);

//please try these
import java.util.*;
public class primePtt1
{
public static boolean isPrimeNumber(int num) {
int c=0;
for (int i = 1; i <= num; i++) {
if (num % i == 0)
c++;
}
if (c==2)
return true;
else
return false;
}
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
System.out.print("\nEnter no. of rows : ");
int rows = sc.nextInt();
int counter = 2;
for (int i = 1; i <= rows; i++) {
for (int j = 1; j <= i; j++) {
/* Try to find next prime number by incrementing counter and testing it for primality */
while(!isPrimeNumber(counter)){
counter++;
}
System.out.print(counter+" ");
counter++;
}
System.out.println();
}
}
}

Java permutations 2

I asked a question on helping me with this question about a week ago
Java permutations
, with a problem in the print permutation method. I have tidied up my code and have a working example that now works although if 5 is in the 5th position in the array it doesn't print it. Any help would be really appreciated.
package permutation;
public class Permutation {
static int DEFAULT = 100;
public static void main(String[] args) {
int n = DEFAULT;
if (args.length > 0)
n = Integer.parseInt(args[0]);
int[] OA = new int[n];
for (int i = 0; i < n; i++)
OA[i] = i + 1;
System.out.println("The original array is:");
for (int i = 0; i < OA.length; i++)
System.out.print(OA[i] + " ");
System.out.println();
System.out.println("A permutation of the original array is:");
OA = generateRandomPermutation(n);
printArray(OA);
printPermutation(OA);
}
static int[] generateRandomPermutation(int n)// (a)
{
int[] A = new int[n];
for (int i = 0; i < n; i++)
A[i] = i + 1;
for (int i = 0; i < n; i++) {
int r = (int) (Math.random() * (n));
int swap = A[r];
A[r] = A[i];
A[i] = swap;
}
return A;
}
static void printArray(int A[]) {
for (int i = 0; i < A.length; i++)
System.out.print(A[i] + " ");
System.out.println();
}
static void printPermutation(int[] p)
{
int n = p.length-1;
int j = 0;
int m;
int f = 0;
System.out.print("(");
while (f < n) {
m = p[j];
if (m == 0) {
do
f++;
while (p[f] == 0 && f < n);
j = f;
if (f != n)
System.out.print(")(");
}
else {
System.out.print(" " + m);
p[j] = 0;
j = m - 1;
}
}
System.out.print(" )");
}
}

I'm not too crazy about
int n = p.length-1;
followed by
while (f < n) {
So if p is 5 units long, and f starts at 0, then the loop will be from 0 to 3. That would seem to exclude the last element in the array.

You can use the shuffle method of the Collections class
Integer[] arr = new Integer[] { 1, 2, 3, 4, 5 };
List<Integer> arrList = Arrays.asList(arr);
Collections.shuffle(arrList);
System.out.println(arrList);

I don't think swapping each element with a random other element will give a uniform distribution of permutations. Better to select uniformly from the remaining values:
Random rand = new Random();
ArrayList<Integer> remainingValues = new ArrayList<Integer>(n);
for(int i = 0; i < n; i++)
remainingValues.add(i);
for(int i = 0; i < n; i++) {
int next = rand.nextInt(remainingValues.size());
result[i] = remainingValues.remove(next);
}
Note that if order of running-time is a concern, using an ArrayList in this capacity is n-squared time. There are data-structures which could handle this task in n log n time but they are very non-trivial.

This does not answer the problem you have identified.
Rather i think it identifies a mistake with your generateRandomPermutation(int n) proc.
If you add a print out of the random numbers generated (as i did below) and run the proc a few times it allows us to check if all the elements in the ARRAY TO BE permed are being randomly selected.
static int[] generateRandomPermutation(int n)
{
int[] A = new int[n];
for (int i = 0; i < n; i++)
A[i] = i + 1;
System.out.println("random nums generated are: ");
for (int i = 0; i < n; i++) {
int r = (int) (Math.random() * (n));
System.out.print(r + " ");
Run the proc several times.
Do you see what i see?
Jerry.