System.arraycopy returns arrayoutofboundsexception

I learned about the arraycopy () function in java today and I worked with it in code. But I kept getting ArrayOutOfBoundsException. I tried to find a solution and google for solutions, but I can't seem to solve it. It would be helpful if someone can have a look at it.

System.arraycopy(a, 0, b, 1, N + 1);

      

        
        
        
      

    

Here "a" is an array of length "N" and b is another array of length "N + 1", I want to copy all the elements of array "a" to array "b" in such a way that all elements of array "a" start with second index of array "b", leaving space for another element in array "b"

Here is all the code if it requires:

import java.util.Random;
import java.util.Scanner;

public class JavaApplication24 {

public static long DC;
public static long DM1;
public static long DM;

private static int[] Insrtn_sort(int[] a, int N) {

    int t, i;
    int b[] = new int[N + 1];
    DC = 0;
    DM = 0;
    DM1 = 0;

    b[0] = Integer.MIN_VALUE;
    System.arraycopy(a, 0, b, 1, N + 1);

    for (int j = 1; j < N + 1; j++) {
        t = b[j];
        i = j - 1;
        while (t < b[i]) {
            b[i + 1] = b[i];
            i--;
            DC++;
            DM1++;
        }
        b[j + 1] = t;
        DM++;
    }

    return b;
}

public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    Random r = new Random();
    float StartTime, EndTime, TotalTime;

    int N = sc.nextInt();
    int[] a = new int[N];
    for (int i = 0; i <= N - 1; i++) {
        a[i] = r.nextInt();
    }

    StartTime = System.currentTimeMillis() / 1000;
    Insrtn_sort(a, N);
    EndTime = System.currentTimeMillis() / 1000;

    TotalTime = StartTime - EndTime;

    for (int i = 1; i <= N - 1; i++) {
        System.out.println(a[i]);
    }
    System.out.println("Time taken for sorting: " + TotalTime);
    System.out.println("Total number of data comparisons: " + DC);
    System.out.println("Total number of data movements: " + DM + DM1);

}

}