Adding two integer arrays - java

I have done some searching for this, however I haven't found anything specific to what I'm working on.
I'm trying to do addition with two arrays of integers. This alone isn't difficult, however, I'm having difficulty with a specific aspect.
The array size and array elements are determined by user input. Each digit must be greater than or equal to 0 and less than or equal to 9. The problem lies in the fact that if I initialize an array in my method, I must determine the size of the array when I initialize it. But if the user enters a series of numbers, such as 8, 0, 0, 0 for the first array, and 3, 0, 0, 0 for the second array, that would result in the sum[] being one integer bigger than either of the arrays initialized by the user. I don't want to do
int[] sum = new int[x.length+1]
because in the case of it not needing an extra element, I will get an ugly 0 where I don't want to see that. I'm not necessarily asking for a direct answer with code, but perhaps a bit of wisdom that will push me in the right direction. Thanks.
public static int[] addArrays(int[] x, int[] y){
int[] sum = new int[?];
int carryOver = 0;
int singleDigit = 0;

Just make the array originally the same size as the original (int[] sum = new int[x.length];. Then, if you need to expand the size of your array, set sum =Arrays.copyOf(sum, sum.length+1);, which will expand the size of your array to the necessary size.

Related

Get size of second dimension while first dimension is empty [duplicate]

Well, that might be a strange question, and maybe just because I'm not familiar enough with Java.
So, I declared a 2D int array:
int[][] arr = new int[0][10]
Now, as you can see, the second dimension's length is 10, while the first dimension's length is 0. I'm not sure how Java treats these kind of arrays, but the compiler doesn't produce any errors, which means it's a legit declaration.
Well, I passed the array to some function, and I want to retrieve from within the function, the length of the second dimension.
Of course something like:
arr[0].length
won't work. is there another way to do this?
The objects created by new int[0][10] and new int[0][20] are equivalent. There is no logical "second dimension" here. Effectively you're running something like this:
int[][] createArray(int d1, int d2) {
int[][] ret = new int[d1][];
for (int i = 0; i < d1; i++) {
ret[i] = new int[d2];
}
return ret;
}
Now if you translate that into your scenario, you'll end up with code which never reads d2.
If you want to represent a general-purpose rectangular array (instead of an array of arrays) you might want to consider creating your own type for it.
Arrays in Java, and most every other programming language, are zero-based. Consider this 2D array:
int[][] arr = new int[1][10];
This means that there is one row and ten columns in it.
Now, consider this array:
int[][] arr = new int[0][10];
This means that there are zero rows and (an irrelevant amount of columns) in it.
If you try to index into the second array, you'll find that you can't - an array of length zero has no starting point.
The compiler sees it as valid because you declared dimensions with it, but you won't be able to actually use it in any meaningful way in Java.
There is no such thing as the length of the second dimension. Consider:
int[][] arr = new int[10][10];
arr[5] = new int[42];
What is the length of the second dimension? 10 or 42?
No. It doesnt work this way. arr is an array with ten elements, each of which must be a reference of an int array (or null). That's all there is to say.

Method to copy primes from one array to another in Java

I'm rather new to Java, and I'm trying to figure out a way to copy all primes inside of an array and copy those to another array.
To do so, I've implemented a separate isPrime() method to check whether the element is a prime, and another method that counts the number of primes in that array countPrimes(), such that I can determine the new array's size.
Here is where I'm kind of stuck:
public static int[] primesIn(int[] arr) {
int primeHolder = countPrimes(arr);
int[] copyArr = new int[primeHolder];
for (int i = 0; i < arr.length; i++) {
if (isPrime(arr[i]) == true) {
copyArr[>Needs to start from 0<] = arr[i];
}
}
return copyArr;
}
int[] arrayMan = {3,5,10,15,13};
At copyArr the position should be 0, followed by +1 everytime it finds a prime. If I were to give it i position, as in copyArr[i] = arr[i], then say the prime is at position 5, it would try to save the prime onto position 5of copyArr, which doesn't exist if there are only three primes in the original array, which would've given copyArr a length of only three.
Something tells me a different for loop, or maybe even an additional one would help, but I can't see how I should implement it. Help is greatly appreciated!
Have a second index variable int primeCount, and increment it whenever you find a prime. No need for a 2nd loop.
In modern days of abundant memory, things are usually not done like this. If you don't have some extra hard requirements, you could just use a resizable ArrayList<Integer>, and add() stuff in there. (and convert it back to int[] at the end if needed). This is also better in this case, because typically your countPrimes call will run much slower than ArrayList reallocations.
Read your words carefully:
At copyArr the position should be 0, followed by +1 everytime it
finds a prime.
That means that index in a new array does not depend on its position in the old array. Create a counter. And each time you place a prime number into a new array, increment it by 1. Thus you can always know where to put a new number.

Java arrays objects and initializer confusion

I'm learning java and was told arrays are implemented as objects. But they show two different codes without diving into details.
First they ask us to use arrays like this, but the downside is to manually add the values:
int nums[] = new int[10];
nums[0] = 99;
nums[1] = -622;
.
.
.
Then they use this in some programs saying new is not needed because Java automatically does stuff:
int nums[] = {99, - 10, 100123, 18, - 972 ......}
If the second code is shorter and allows me to use arrays straightaway whats the point of the first code if they do the same thing but the first one require more code to input value by hand.
Let's say you were initializing an array of 1 million values, would you use the second method? No, because you would have a huge java file.
The first method is essentially allocating space:
int[] array = new int[1000000];
Creates 1 million spaces in memory with default value 0. Now if you want to initialize them, you may use a loop:
for (int i = 0; i < array.length; i++) {
array[i] = i;
}
If you wanted an array of 10 million values, you only change one number:
// Just add a 0 to 1000000
int[] array = new int[10000000]
Now, if the size of your array changes, you don't have to change the loop. But if you used the second method and wanted an array of 10 million values, you would have to add 9 million values, and 9 million commas to your java file - not scalable.
int[] array = {1, 2, 3, 4, ... 1000000};
The second method is not "scalable." It only works for small arrays where you can confidently assume that the default values of that array won't change. Otherwise, it makes A LOT more sense to use the first (more common) method.
//This is one way of declaring and initializing an array with a pre-defined size first
int nums[] = new int[10];
//This is initializing the array with a value at index 0
nums[0] = 99;
//This is initializing the array with a value at index 1 and likewise allocating rest of array index values
nums[1] = -622;
//This is another way of declaring and initializing an array directly with pre-defined values. Here if you see instead of declaring array size first, directly the values are initialized for it
int nums[] = {99, - 10, 100123, 18, - 972 ......}
It depends on the way you prefer to use the arrays, but you must remember that whenever you use "new" keyword, there is a new space or resource created every time in memory.
When you don't know the items of array at the time of array declaration, then prefer method-1,
and,
when you know the all the values of array at the time of array declaration, then go for method-2
Imagine you want to generate a series of random integers at runtime and want to store in the array:
int[] array = new int[1000000];
Random r = new Random();
for (int i = 0; i < array.length; i++)
array[i] = r.nextInt();

Array Duplicate Efficiency Riddle

Recently in AP Computer Science A, our class recently learned about arrays. Our teacher posed to us a riddle.
Say you have 20 numbers, 10 through 100 inclusive, right? (these numbers are gathered from another file using Scanners)
As each number is read, we must print the number if and only if it is not a duplicate of a number already read. Now, here's the catch. We must use the smallest array possible to solve the problem.
That's the real problem I'm having. All of my solutions require a pretty big array that has 20 slots in it.
I am required to use an array. What would be the smallest array that we could use to solve the problem efficiently?
If anyone could explain the method with pseudocode (or in words) that would be awesome.
In the worst case we have to use an array of length 19.
Why 19? Each unique number has to be remembered in order to sort out duplicates from the following numbers. Since you know that there are 20 numbers incoming, but not more, you don't have to store the last number. Either the 20th number already appeared (then don't do anything), or the 20th number is unique (then print it and exit – no need to save it).
By the way: I wouldn't call an array of length 20 big :)
If your numbers are integers: You have a range from 10 to 100. So you need 91 Bits to store which values have already been read. A Java Long has 64 Bits. So you will need an array of two Longs. Let every Bit (except for the superfluous ones) stand for a number from 10 to 100. Initialize both longs with 0. When a number is read, check if the corresponding bit mapped to the read value is set to 1. If yes, the read number is a duplicate, if no set the bit to 1.
This is the idea behind the BitSet class.
Agree with Socowi. If number of numbers is known and it is equal to N , it is always possible to use N-1 array to store duplicates. Once the last element from the input is received and it is already known that this is the last element, it is not really needed to store this last value in the duplicates array.
Another idea. If your numbers are small and really located in [10:100] diapason, you can use 1 Long number for storing at least 2 small Integers and extract them from Long number using binary AND to extract small integers values back. In this case it is possible to use N/2 array. But it will make searching in this array more complicated and does not save much memory, only number of items in the array will be decreased.
You technically don't need an array, since the input size is fixed, you can just declare 20 variables. But let's say it wasn't fixed.
As other answer says, worst case is indeed 19 slots in the array. But, assuming we are talking about integers here, there is a better case scenario where some numbers form a contiguous interval. In that case, you only have to remember the highest and lowest number, since anything in between is also a duplicate. You can use an array of intervals.
With the range of 10 to 100, the numbers can be spaced apart and you still need an array of 19 intervals, in the worst case. But let's say, that the best case occurs, and all numbers form a contiguous interval, then you only need 1 array slot.
The problem you'd still have to solve is to create an abstraction over an array, that expands itself by 1 when an element is added, so it will use the minimal size necessary. (Similar to ArrayList, but it doubles in size when capacity is reached).
Since an array cannot change size at run time You need a companion variable to count the numbers that are not duplicates and fill the array partially with only those numbers.
Here is a simple code that use companion variable currentsize and fill the array partially.
Alternative you can use arrayList which change size during run time
final int LENGTH = 20;
double[] numbers = new double[LENGTH];
int currentSize = 0;
Scanner in = new Scanner(System.in);
while (in.hasNextDouble()){
if (currentSize < numbers.length){
numbers[currentSize] = in.nextDouble();
currentSize++;
}
}
Edit
Now the currentSize contains those actual numbers that are not duplicates and you did not fill all 20 elements in case you had some duplicates. Of course you need some code to determine whither a numbers is duplicate or not.
My last answer misunderstood what you were needing, but I turned this thing up that does it an int array of 5 elements using bit shifting. Since we know the max number is 100 we can store (Quite messily) four numbers into each index.
Random rand = new Random();
int[] numbers = new int[5];
int curNum;
for (int i = 0; i < 20; i++) {
curNum = rand.nextInt(100);
System.out.println(curNum);
boolean print = true;
for (int x = 0; x < i; x++) {
byte numberToCheck = ((byte) (numbers[(x - (x % 4)) / 4] >>> ((x%4) * 8)));
if (numberToCheck == curNum) {
print = false;
}
}
if (print) {
System.out.println("No Match: " + curNum);
}
int index = ((i - (i % 4)) / 4);
numbers[index] = numbers[index] | (curNum << (((i % 4)) * 8));
}
I use rand to get my ints but you could easily change this to a scanner.

How does this Java code work?

public static void main(String[] args)
{
int [][]shatner = new int[1][1];
int []rat = new int[4];
shatner[0] = rat;
System.out.println(shatner[0][3]);
}
surprised, The output is 0, why Java doesn't check this kind of indexOutOfBound error?
Don't be surprised. shatner[0] is an array (rat) and happens to be of length 4. So shartner[0][3] is rat[3] which happens to be 0..
Where do you see an "indexOutOfBound error"? The code does the following:
Initalize an array (size 1) of int arrays (size 1), i.e. a 2D array, contents are intialized with 0
Initalize a array of int, size 4, content is intialized with 0
set the single element of the 2D array to the size 4 1D array
access the last element of the first array in the 2D array, which is 0
There is nothing going out of bounds.
The 0th row in the shatner array gets reinitialized to int[4].
There is no index out of bounds error. shatner is an array of arrays. You replaced the first array of length one with a new one of length four. So now shatner[0][3] is a perfectly legit place in memory.
It's not that Java doesn't check the IndexOutOfBoundsException. It's that the answer SHOULD be zero. The key line is
shatner[0] = rat;
Since that means that the 0th index of shatner is pointing to an array of length 4, shatner[0][4] is totally valid.
I'm thinking it's because java's arrays are working a bit differently than expected. You initialize shatner to [1][1], meaning something like, {{0},{0}} in memory.
However, you then assign an integer to the first element, turning it into {{0,0,0,0},{0}} in memory, so Java is addressing the newly assigned index.
Arrays need not be rectangular in Java. This is a jagged array and is perfectly fine.

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