How to shift everything in a 2D array to the left - java

I need to take a 2D array and move everything as far left as possible. It is a 4x4 array and I have tried to do it but either only move certain items or the index goes out of bounds.
The gameBoard array looks like this:
{0 2 4 2}
{0 0 2 0}
{2 2 0 0}
{0 4 0 2}
and after you call the swipeLeft() method it should look like this:
{2 4 2 0}
{2 0 0 0}
{2 2 0 0}
{4 2 0 0}
There is also the issue of placing a zero into the previous index that you moved it from.
I created a double for loop to just loop through the array and tried to code something that would move it over but it hasn't worked.
Here was the code I had so far
public void swipeLeft() {
for ( int r = 0; r < gameBoard.length; r++ ) {
for ( int c = 0; c < gameBoard[r].length; c++ ) {
gameBoard[r][c] = gameBoard[r][ (c+1) %
gameBoard.length];
}
}
}

Based on your desired OUTPUT, it looks like swipeLeft() is supposed to push all non-zero values to the very left of their row, displacing the zeroes to the right of all non-zero values.
If that's correct, this is similar to Old Dog Programmer's approach, except all shifting is done "in place" without creating any new arrays:
import java.util.*;
class Main {
private static int[][] gameBoard;
public static void main(String[] args) {
gameBoard = new int[][] {
{0, 2, 4, 2},
{0, 0, 2, 0},
{2, 2, 0, 0},
{0, 4, 0, 2}
};
System.out.println("Before:");
displayBoard();
swipeLeft();
System.out.println("\nAfter:");
displayBoard();
}
public static void displayBoard() {
for(int[] row : gameBoard) {
System.out.println(Arrays.toString(row));
}
}
public static void swipeLeft() {
for(int[] row : gameBoard) {
// find the first blank (zero) spot
int nextIndex = 0;
while(nextIndex < row.length && row[nextIndex] != 0) {
nextIndex++;
}
// start with the first blank, and shift any non-zero
// values afterwards to the left
for(int col=nextIndex; col < row.length; col++) {
if (row[col] != 0) {
row[nextIndex] = row[col];
row[col] = 0;
nextIndex++;
}
}
}
}
}
Output:
Before:
[0, 2, 4, 2]
[0, 0, 2, 0]
[2, 2, 0, 0]
[0, 4, 0, 2]
After:
[2, 4, 2, 0]
[2, 0, 0, 0]
[2, 2, 0, 0]
[4, 2, 0, 0]

From the example in the question, it appears to me that what is wanted is to shift all non-zero elements to the left, and zero elements are shifted to the right. The order of the non-zero elements is to be retained.
Note that each row is independent of other rows.
One way to approach this is to create a method that works on a 1D array. This method takes a 1D array as a parameter, and returns another 1D array with the elements shifted:
public static int [] zeroShift (int [] arr) {
int [] left = new int [arr.length];
int count = 0;
for (int i = 0; i < arr.length; i++) {
if (arr[i] != 0) {
left [count++] = arr [i];
}
}
return left;
}
This copies each non-zero element to a new array of the same size, keeping track (count) of how many have been copied so far. Note this relies on left being initialized to all-zeros.
Once that method is working, it can be used for gameBoard on a row-by-row basis:
public void swipeLeft() {
for (int r = 0; r < gameBoard.length; r++) {
gameBoard [r] = zeroShift (gameBoard [r]);
}
// output for testing
for (int i = 0; i < gameBoard.length; ++i) {
System.out.println(Arrays.toString(gameBoard[i]));
}
}

To rotate the array in place, you should roteate the array 3 times:
123456 -> 654312
654321
3456..
....12
public static void shiftLeft(int[] arr, int offs) {
if (offs <= 0)
return;
offs = arr.length - offs % arr.length - 1;
for (int i = 0, j = arr.length - 1; i < j; i++, j--)
swap(arr, i, j);
for (int i = 0, j = offs; i < j; i++, j--)
swap(arr, i, j);
for (int i = offs + 1, j = arr.length - 1; i < j; i++, j--)
swap(arr, i, j);
}
private static void swap(int[] arr, int i, int j) {
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}

So your code intends to rotate the board one column to the left. Rotate? Well, the numbers you push out on the left might come back on the end, right?
Probably the line
gameBoard[r][c] = gameBoard[r][ (c+1) % gameBoard.length];
should be
gameBoard[r][c] = gameBoard[r][ (c+1) % gameBoard[r].length];
But try to do this stuff with pen & paper, and you should notice that you are going to loose one column/copy the values from the second column into the first, then copy that into the last column again.
You will need to change two items:
store the value from the first column somewhere if you still need it so you can push it into the last one.
only rotate the column data if it needs to be rotated. Or in other words, rotate the remainder of the row if you find a zero. In this case you do not need to remember the first column, as you will overwrite a zero and push a zero into the last column. And then it would not be called rotate but shift.
Exercise this with pen & paper until you can write down instructions for someone else to perform the same operation. Then you are ready to also write it in Java.

Related

How to merge two elements in an array together?

For example you have the 2d array Board as shown below:
{0, 2, 4, 2}
{0, 0, 2, 2}
{2, 2, 0, 0}
{0, 5, 0, 2}
You want it to become:
{0, 2, 4, 2}
{0, 0, 4, 0}
{4, 0, 0, 0}
{0, 5, 0, 2}
When there are 2 elements next to each other you need to merge them to make 4 into the left-most place out of those two elements and then make the 2nd element to be 0.
You want to do this with java.
forgot to show my existing loop, this is it below:
for (int row = 0; row < Board.length; row++){
for (int col = 0; col <= Board.length; col++){
if ((Board[row][col] == Board[row][col +1])){
Board[row][col] = 2 * Board[row][col];
Board[row][col + 1] = 0;
}
}
}
Well, I guess that should work. In the loop, you must be careful not to refer to the wrong ( or non-existing) array element.
public static void main(String[] args) {
int[][] arr = new int[][]{{0, 2, 4, 2}, {0, 0, 2, 2}, {2, 2, 0, 0}, {0, 5, 0, 2}, {2, 2, 2, 2}, {2, 2, 2, 0}};
for (int i = 0; i < arr.length; i++) {
for (int j = 0; j < arr[i].length - 1; j++) {
if (arr[i][j] == arr[i][j + 1]) {
arr[i][j] = arr[i][j] + arr[i][j + 1];
arr[i][j + 1] = 0;
}
}
}
System.out.println(Arrays.deepToString(arr));
}
Here is one way, focusing only array values that equal 2.
iterate the 2D array.
then iterate over each linear array, checking adjacent values and making the changes.
for(int[] arr : v) {
for(int i = 0; i < arr.length-1; i++) {
if (arr[i] == 2 && arr[i+1] == 2) {
arr[i]+= arr[i+1];
arr[i+1] = 0;
}
}
}
for(int arr[]: v) {
System.out.println(Arrays.toString(arr));
}
prints
[0, 2, 4, 2]
[0, 0, 4, 0]
[4, 0, 0, 0]
[0, 5, 0, 2]
Well I assume that Board variable holds array (quick tip, common convention is to name variable in camelCase (first letter lowercase, then each letter of next work upper, if that variable is constant, then convention is SNAKE_UPPER_CASE)
Your first for is pretty okay, the second one too but it assumes that matrix will be always NxN and will fail if thats not the case or it will not work properly (depending if amount of cols is lower or greater than length of array)
Inside it you dont want to check if the values are equal, you want to check if these values are both equal to 2. And you should check if thats not processing of last column of the row, in that case youll get IndexOutOfBoundException because you want to get value of matrix that is not present.
So with small changes, you will achieve what you want. This code will hopefuly shows my thoughts better
public class MergingTwos {
public static void main(String args[]) {
// Init a matrix
int[][] array = new int[][] { { 0, 2, 4, 2 }, { 0, 0, 2, 2 }, { 2, 2, 0, 0 }, { 2, 2, 0, 0 }, { 0, 5, 0, 2 }};
// Iterating over each row of matrix, in veriable i, the current X index is stored
for(int i = 0; i < array.length; i++) {
// Iterating over each column of row, in variable n, the current Y index is stored
for(int n = 0; n < array[i].length; n++) {
// To prevent index out of bound exception, last element of row wont be processed so as we dont want to proceed if given and next value on row are not 2
if(n == array[i].length -1 || array[i][n] != 2 || array[i][n+1] != 2) {
continue;
}
// To value at given coordinates [i,n] you add values of value on coordinates [i, n+1]
array[i][n] = array[i][n] + array[i][n+1];
// And setting next element to 0
array[i][n+1] = 0;
}
}
// Printing the result
for (int[] x : array) {
for (int y : x) {
System.out.print(y + " ");
}
System.out.println();
}
}
}

Counting triplets with smaller sum

I was trying one problem to count the number of triplets in an array whose sum is less than target value.
Input: [-1, 4, 2, 1, 3], target=5
Output: 4
Explanation: There are four triplets whose sum is less than the target:
[-1, 1, 4], [-1, 1, 3], [-1, 1, 2], [-1, 2, 3]
My Code
import java.util.*;
class TripletWithSmallerSum {
public static int searchTriplets(int[] arr, int target) {
Arrays.sort(arr);
int count = 0;
for(int i = 0; i < arr.length - 2; i++)
{
int left = i + 1;
int right = arr.length - 1;
while(left < right)
{
int targetDiff = target - arr[i] - arr[left] - arr[right];
if (targetDiff > 0)
{
count++;
right--;
}
else
{
left++;
}
}
}
// TODO: Write your code here
return count;
}
}
It produces the output of 3 where as correct value should be 4 as per the above given input. My logic was , say , x + y + z < targetSum , it implies (targetSum - (x + y + z) ) > 0. If this is true I will increase the count and then decrement the right pointer , since array is sorted. If its not true then I will increment the left pointer . But my logic does not cover the triplet {-1, 2, 3}.
Below is the correct code given by author.
import java.util.*;
class TripletWithSmallerSum {
public static int searchTriplets(int[] arr, int target) {
Arrays.sort(arr);
int count = 0;
for (int i = 0; i < arr.length - 2; i++) {
count += searchPair(arr, target - arr[i], i);
}
return count;
}
private static int searchPair(int[] arr, int targetSum, int first) {
int count = 0;
int left = first + 1, right = arr.length - 1;
while (left < right) {
if (arr[left] + arr[right] < targetSum) {
count += right - left;
left++;
} else {
right--; // we need a pair with a smaller sum
}
}
return count;
}
public static void main(String[] args) {
System.out.println(TripletWithSmallerSum.searchTriplets(new int[] { -1, 0, 2, 3 }, 3));
System.out.println(TripletWithSmallerSum.searchTriplets(new int[] { -1, 4, 2, 1, 3 }, 5));
}
}
The author has used the concept , say x + y + z < targetSum , it implies x + y < targetSum - z . But I don't get the logic of line count += right - left; . How author use this one line to capture the count. If some one can give me the intution on how to reach this inference. Also what is wrong with my code and what can I do to correct it.
A first issue with your code is that :
you only decrease the right index if the sum is inferior to the target.
However, since you have ordered your list, well you will only be entering that case until left=right.
Quick example : [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], target=14
if 1+2+10 <13:
then you will only decrease 10 until you reach 2 in your array
and then you proceed to iterate to the next i-index, here going from 0 to 1.
Meaning that: you will never get the solutions in between such as [1,3,9] and all the one that follows.
I hope it helps you see where there was an error in the logic, which was not from the statement : (targetSum - (x + y + z) ) > 0 but from the action you take according to the result (True/False).
Now, I am not sure there would be an easy way to adapt your code corrctly, because the main issue here is that you have iterate over 2 indexes at once (right and left).
Now regarding your author's answer :
The trick behind :
count += right - left;
goes back to the issue you had, if i tame my example, for
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
it is basically saying that, since the array is ordered, if the sum of two integers with the right one is inferior to target, then it will also be true for all integers inferior to right :
1+2+10<14 => 1+2+9<13
And this statement is true for all integers between left and right, so instead of doing a loop for which we already have the answer, he adds to count the differences between right and left, in other words, the number of integers in your array that will be greater than left and lower than right.
Now that i have explained that, you could use the same "trick" to your code:
class TripletWithSmallerSum {
public static int searchTriplets(int[] arr, int target) {
Arrays.sort(arr);
int count = 0;
for(int i = 0; i < arr.length - 2; i++)
{
int left = i + 1;
int right = arr.length - 1;
while(left < right)
{
int targetDiff = target -( arr[i] + arr[left] + arr[right]);
if (targetDiff > 0)
{
count += right - left;
left++;
}
else
{
right--;
}
}
}
// TODO: Write your code here
return count;
}
}
I tried to be as detailed as possible, hope it helps you understand better!

Triangular matrix get() in one dimensional array

I want to save a triangular matrix in a 1 dim array (to minimize needed space, all zeros are left out) and create a function get() to find a specific entry from the original matrix.
For example:
Lets look at the following triangular matrix :
0 1 2 3
0 0 4 5
0 0 0 6
0 0 0 0
I am saving this matrix like this:
double[] test = {1,2,3,4,5,6};
So all the zeros are left out.
I want to write a function that gives me a value of the original matrix:
get(3,4)
should give me 6
I am checking the input to see if its out of bound and if it is below or on the diagonal.
//Checking if input is valid
if (i <= n && j <= n && i >= 1 && j >= 1){
if( j <= i ){
return 0.0;
}else {
}
}
This works.
How do I proceed though? I have trouble finding the equivalent matrix entry in my array.
Any help would be appreciated.
EDIT:
My whole code:
public class dreiecksmatrix {
int n = 4;
double[] a = {1,2,3,4,5,6};
public double get( int i, int j){
//Checking if input is valid
if (i <= n && j <= n && i >= 0 && j >= 0){
if( j <= i ){
return 0.0;
}else {
}
}
return 1.0;
}
public static void main(String [] args ){
dreiecksmatrix test = new dreiecksmatrix();
System.out.println(test.get(2,3));
}
}
Here is the sample code calculating the value of top-triange. No corner cases check like i,j >= 1 yet, but it's easy to add them.
arr = [[0, 1, 2, 3, 4],
[0, 0, 5, 6, 7],
[0, 0, 0, 8, 9],
[0, 0, 0, 0, 10],
[0, 0, 0, 0, 0]];
flatArr = [1,2,3,4,5,6,7,8,9,10];
n = 5; // matrix size
i = 1;
j = 3;
if (j <= i) {
alert(0);
} else {
pos = 0;
// find an offset caused by first (i - 1) lines
for (k = 1; k < i; k++) {
pos += n - k;
}
// find an offset in line x
pos += j - i;
// array index start from 0 so decrement value
pos = pos - 1;
alert('flatArr[' + pos + '] = ' + flatArr[pos]);
}
If you were instead to store the matrix by columns, there is a simple formula for the index into test of the i,j'th matrix element.
In your example you would have
double[] test = {1,2,4,3,5,6};
If Col(i) is the index pf the start of column i
then
Col(2) = 0
Col(3) = Col(2) + 1
..
Col(n) = Col(n-1) + n-1
Hence
Col(j) = ((j-1)*(j-2))/2
The i,j matrix element is stored i further on from the start of column j,
ie at Col(j)+i, so that you should add
return test[ ((j-1)*(j-2))/2 + i];
to your code
There is an analogous formula if you must store by rows rather than columns. It's a wee bit messier. The idea is to first figure out, starting with the last non-zero row, where the ends of the rows are solved.

How to implement deleteValues (int values) method for a custom ArrayList?

I am implementing my custom ArrayList class for integers with the help of an array, and I would like to be able to delete a certain value from my array. My problem is when there are many same delete-able value next to each other, I am getting two 0s next to each other which leads to a bug. i tried to solve it for a couple of hours without luck. Here is my code:
int max=10;
public int[] a = new int[max];
#Override
public void deleteValues(int value) {
int tempIndex=0;
for (int i = 0; i <50 ; i++) {
if (a[tempIndex] == value) {
a[tempIndex] = a[tempIndex + 1];
a[tempIndex + 1] = 0;
} else if (a[tempIndex] == 0) {
a[tempIndex] = a[tempIndex + 1];
a[tempIndex + 1] = 0;
} else {
tempIndex++;
}
}
}
My array looks like that before deleting the value (4):
[4, 2, 3, 4, 4, 4, 4, 1, 2, 3]
This is the wrong result after running the code:
[2, 3, 0, 0, 4, 4, 4, 1, 2, 3]
What I would like to achieve:[2, 3, 1, 2, 3, 0, 0, 0, 0, 0]
My question is: What would be the best approach to make the code work, using as few loop as possible?
One of the problems in your code is that you're always copying the element at index tempIndex+1 into tempIndex: it's always the next element.
In fact, after deleting let's say 5 elements from the array, you'll have to copy tempIndex+5 into tempIndex.
I think this is a good way of doing it:
public void deleteValues(int[] a, int value) {
int j=0;
for(int i=0; i<a.length; i++) {
if(a[i]!=value) {
a[j] = a[i];
j++;
}
}
// fill the rest of the array with zeros
while(j<a.length) {
a[j] = 0;
j++;
}
}
Basically, you keep two indices: i and j.
The index i follows the "original" array, while index j follows the "new" array (after deletion).
Index i loops over all the elements: if a[i] is not equal to value, copy it into its new position j and increment both j and i. If a[i] is equal to value, skip it and increment i without incrementing j.
After all the elements have been copied or skipped, fill the end of the array with zeros.
Sample input:
a = {4, 2, 3, 4, 4, 4, 4, 1, 2, 3}
value = 4
Output:
a = {2, 3, 1, 2, 3, 0, 0, 0, 0, 0}
public static void deleteValues(int[] a, int value) {
int newSize = a.length;
int current = 0;
for (int i = 0; i < a.length; i++) {
if (a[i] != value) {
if (i != current) {
a[current] = a[i];
newSize--;
}
current++;
}
}
//use first newSize values, for example you can copy to new array
System.out.println("New size = " + newSize);
}
you can use iterator:
List<Integer> numbers = ....
Iterator<Integer> i = numbers.iterator();
while (i.hasNext()) {
Integer num = i.next();
// add here your custom code
i.remove();
}
int tempIndex,index;
for (index = 0, tempIndex = 0; index < valuesArray.length; index++) {
if (valuesArray[index] != valToDelete) {
valuesArray[tempIndex++]=valuesArray[index];
}
}
while(tempIndex<valuesArray.length){
valuesArray[tempIndex++]=0;
}

Adding blank rows to a 2d array in Java

Say I have the following 2d array in Java set to a variable named myMap:
1 3 1
3 2 3
1 3 1
The next step in my program is to add rows and columns of zeros as follows:
1 0 3 0 1
0 0 0 0 0
3 0 2 0 3
0 0 0 0 0
1 0 3 0 1
Basically, I'm adding arrays of zero into the spaces between the previous rows/columns. I then fill them in with appropriate numbers (irrelevant to my question) and repeat the process (adding more rows/columns of zeros) a finite number of times.
My question is as follows- what is the easiest and most efficient way to do this in Java? I know I could create a new 2d array and copy everything over, but I feel like there may be a more efficient way to do this. My intuition says that a 2d ArrayList may be the better way to go.
Also, and this my be important, when my program begins, I DO know what the maximum size this 2d array. Also, I cannot expect the symmetry of the numbers that I put in for this example (these were just put in for a good visual reference).
Here's a solution with ArrayLists: (test included)
int[][] ar = new int[][]
{
{ 0, 1, 2 },
{ 3, 4, 5 },
{ 6, 7, 8 } };
ArrayList<ArrayList<Integer>> a = new ArrayList<>(ar.length);
ArrayList<Integer> blankLine = new ArrayList<>(ar.length * 2 - 1);
for (int i = 0; i < ar.length * 2 - 1; i++)
{
blankLine.add(0);
}
for (int i = 0; i < ar.length; i++)
{
ArrayList<Integer> line = new ArrayList<>();
for (int j = 0; j < ar[i].length; j++)
{
line.add(ar[i][j]);
if (j != ar[i].length - 1)
line.add(0);
}
a.add(line);
if (i != ar.length - 1)
a.add(blankLine);
}
for (ArrayList<Integer> b : a)
{
System.out.println(b);
}
Output:
[0, 0, 1, 0, 2]
[0, 0, 0, 0, 0]
[3, 0, 4, 0, 5]
[0, 0, 0, 0, 0]
[6, 0, 7, 0, 8]
Algorithm
int[][] appendRows(int[][] bag, int[]... rows) {
int[][] extendedBag = new int[bag.length + rows.length][];
int i = 0;
for (int[] row : bag) { fillRow(extendedBag, row, i++); }
for (int[] row : rows) { fillRow(extendedBag, row, i++); }
return extendedBag;
}
// WHERE #fillRow(int[][], int[], int) =
void fillRow(int[][] bag, int[] row, int i) {
bag[i] = new int[row.length];
System.arraycopy(row, 0, bag[i++], 0, row.length);
}
Demo
import java.util.Arrays;
/** Utilities for 2D arrays. */
public class Array2dUtils {
public static void main(String[] args) {
int[][] bag = new int[][] {
{ 0 },
{ 1, 1 },
{ 2, 2, 2 }
};
int[] row1 = new int[] { 3, 3};
int[] row2 = new int[] { 4 };
int[][] biggerBag = appendRows(bag, row1, row2);
System.out.println("Bag:\n" + toString(bag));
System.out.println("Bigger Bag:\n" + toString(biggerBag));
}
/** Append one or more rows to a 2D array of integers. */
public static int[][] appendRows(int[][] bag, int[]... rows) {
int[][] extendedBag = new int[bag.length + rows.length][];
int i = 0;
for (int[] row : bag) { fillRow(extendedBag, row, i++); }
for (int[] row : rows) { fillRow(extendedBag, row, i++); }
return extendedBag;
}
/* fill i-th item of the bag */
private static void fillRow(int[][] bag, int[] row, int i) {
bag[i] = new int[row.length];
System.arraycopy(row, 0, bag[i++], 0, row.length);
}
/** Pretty-prints a 2D array of integers. */
public static String toString(int[][] bag) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < bag.length; ++i) {
sb.append(Arrays.toString(bag[i])).append("\n");
}
return sb.toString();
}
}
$ javac Array2dUtils.java
$ java -cp "." Array2dUtils
Bag:
[0]
[1, 1]
[2, 2, 2]
Bigger Bag:
[0]
[1, 1]
[2, 2, 2]
[3, 3]
[4]

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