How can I find a local minimum in a 2D array? - java

public static void main(String[] args) {
// TODO code application logic here
int numRows = 5;
int numCols = numRows;
int[][] twoDimArray = new int[numRows][numCols];
Random randGen = new Random();
for (int i = 0; i < numRows; i++) {
for (int j = 0; j < numCols; j++) {
int randIndex = randGen.nextInt(4);
int value = randGen.nextInt(100);
twoDimArray[i][j] = value;
}
}
System.out.println("\nThe two-dimensional array: ");
for (int i = 0; i < numRows; i++) {
for (int j = 0; j < numCols; j++) {
System.out.print(twoDimArray[i][j] + " ");
}
System.out.println();
}
}
}
I want to find a local minimum using a "brute force" approach. I know with a one dimensional array I would use a for-loop to compare all the elements in the array until I found a local minimum, but I don't know how to do that here.
Edit: Could I use binary search instead? Find the middle row and search there and if one isn't found, I search one of the halves.

The brute force method would be very similar to that of a 1D array, just with an extra loop, and a few more checks:
public int[] findLocalMinimum(int[][] arr) {
for (int i = 0; i < arr.length; i++) {
for (int j = 0; j < arr[i].length; j++) {
int current = arr[i][j];
if (i + 1 < arr.length && current >= arr[i + 1][j] ||
i - 1 >= 0 && current >= arr[i - 1][j] ||
j + 1 < arr[i].length && current >= arr[i][j + 1] ||
j - 1 >= 0 && current >= arr[i][j - 1]) {
continue;
} else {
return new int[] { i, j };
}
}
}
return new int[] { -1, -1 };
}

Related

Adjacency matrix generator

My goal is to create an adjacency matrix generator (the only value elements can have is 0 or 1; it has to be symmetric, meaning element in [i][j] == element [j][i]) in Java.
I have some code, but the result is an nx5 matrix (if I establish n = 13, the resulting matrix is a 13x5 matrix). It is symmetric and the values of elements is bounded between 0-1, so that is not an issue. Another problem is I don't really know how to have an array without doubles, which is more of an aesthetical problem + ideally, the diagonal would be filled with "-" instead of zeroes, as it is now.
Random random = new Random();
double[][] array = new double[n][n];
for (int i = 0; i < array.length; i++)
{
for (int j = 0; j <= i; j++)
{
int x = random.nextInt(2);
array[i][j] = x;
if (i != j)
{
array[j][i] = x;
}
}
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
if (i == j || (i + j + 1) == n)
{
array[i][j] = 0;
}
}
}
for (double[] a : array)
{
System.out.println(Arrays.toString(a));
}
}

Levenshtein distance in java outputting the wrong number

For my university assignment in java I have been asked to provide "extra analytics functions" I decided to use Levenshtein distance but I have an issue where the number outputted to the console is one less than the actual answer. So the distance between "cat" and "hat" should be 1 but it's displaying as 0
public class Levenshtein {
public Levenshtein(String first, String second) {
char [] s = first.toCharArray();
char [] t = second .toCharArray();
int Subcost = 0;
int[][] array = new int[first.length()][second.length()];
for (int i = 0; i < array[0].length; i++)
{
array[0][i] = i;
}
for (int j = 0; j < array.length; j++)
{
array [j][0]= j;
}
for (int i = 1; i < second.length(); i++)
{
for (int j = 1; j < first.length(); j++)
{
if (s[j] == t [i])
{
Subcost = 0;
}
else
{
Subcost = 1;
}
array [j][i] = Math.min(array [j-1][i] +1,
Math.min(array [j][i-1] +1,
array [j-1][i-1] + Subcost) );
}
}
UI.output("The Levenshtein distance is -> " + array[first.length()-1][second.length()-1]);
}
}
Apparently you're using the following algorithm:
https://en.wikipedia.org/wiki/Levenshtein_distance#Iterative_with_full_matrix
I think you were not too accurate with indices. I'm not sure where exactly the problem is, but here is a working version:
public int calculateLevenshteinDistance(String first, String second) {
char[] s = first.toCharArray();
char[] t = second.toCharArray();
int substitutionCost = 0;
int m = first.length();
int n = second.length();
int[][] array = new int[m + 1][n + 1];
for (int i = 1; i <= m; i++) {
array[i][0] = i;
}
for (int j = 1; j <= n; j++) {
array[0][j] = j;
}
for (int j = 1; j <= n; j++) {
for (int i = 1; i <= m; i++) {
if (s[i - 1] == t[j - 1]) {
substitutionCost = 0;
} else {
substitutionCost = 1;
}
int deletion = array[i - 1][j] + 1;
int insertion = array[i][j - 1] + 1;
int substitution = array[i - 1][j - 1] + substitutionCost;
int cost = Math.min(
deletion,
Math.min(
insertion,
substitution));
array[i][j] = cost;
}
}
return array[m][n];
}

Problems with refactoring java code

I am doing my homework right now and have a question about refactoring my code in Java.
I am working on a Sudoku right now and I need to check if the 3x3 boxes are valid or not. To do that I create a one dimensional array with all the numbers of the boxes and later I compare the value of them. It is working right now but it really isn't refactored at all. I would really like to know if there is any way to reduce all this copy paste.
public static boolean validFieldParts() {
int counter = 0;
boolean isValid = false;
int[] copyArray1 = new int[field.length];
int[] copyArray2 = new int[field.length];
int[] copyArray3 = new int[field.length];
int[] copyArray4 = new int[field.length];
int[] copyArray5 = new int[field.length];
int[] copyArray6 = new int[field.length];
int[] copyArray7 = new int[field.length];
int[] copyArray8 = new int[field.length];
int[] copyArray9 = new int[field.length];
// copy the array
// 1 große Feld
for (int i = 0; i < field.length / 3; i++) {
for (int j = 0; j < field[i].length / 3; j++) {
copyArray1[i * 3 + j] = field[i][j];
}
}
// 2 große Feld
for (int i = 0; i < field.length / 3; i++) {
for (int j = 3; j < 6; j++) {
copyArray2[i * 3 + j - 3] = field[i][j];
}
}
// 3 große Feld
for (int i = 0; i < field.length / 3; i++) {
for (int j = 6; j < 9; j++) {
copyArray3[i * 3 + j - 6] = field[i][j];
}
}
// 4 große Feld
for (int i = 3; i < 6; i++) {
for (int j = 0; j < field[i].length / 3; j++) {
copyArray4[(i - 3) * 3 + j] = field[i][j];
}
}
// 5 große Feld
for (int i = 3; i < 6; i++) {
for (int j = 3; j < 6; j++) {
copyArray5[(i - 3) * 3 + j - 3] = field[i][j];
}
}
// 6 große Feld
for (int i = 3; i < 6; i++) {
for (int j = 6; j < 9; j++) {
copyArray6[(i - 3) * 3 + j - 6] = field[i][j];
}
}
// 7 große Feld
for (int i = 6; i < 9; i++) {
for (int j = 0; j < field[i].length / 3; j++) {
copyArray7[(i - 6) * 3 + j] = field[i][j];
}
}
// 8 große Feld
for (int i = 6; i < 9; i++) {
for (int j = 3; j < 6; j++) {
copyArray8[(i - 6) * 3 + j - 3] = field[i][j];
}
}
// 9 große Feld
for (int i = 6; i < 9; i++) {
for (int j = 6; j < 9; j++) {
copyArray9[(i - 6) * 3 + j - 6] = field[i][j];
}
}
Arrays.sort(copyArray1);
Arrays.sort(copyArray2);
Arrays.sort(copyArray3);
Arrays.sort(copyArray4);
Arrays.sort(copyArray5);
Arrays.sort(copyArray6);
Arrays.sort(copyArray7);
Arrays.sort(copyArray8);
Arrays.sort(copyArray9);
for (int i = 1; i < copyArray1.length; i++) {
if (copyArray1[i] == copyArray1[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray2.length; i++) {
if (copyArray2[i] == copyArray2[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray3.length; i++) {
if (copyArray3[i] == copyArray3[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray4.length; i++) {
if (copyArray4[i] == copyArray4[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray5.length; i++) {
if (copyArray5[i] == copyArray5[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray6.length; i++) {
if (copyArray6[i] == copyArray6[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray7.length; i++) {
if (copyArray7[i] == copyArray7[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray8.length; i++) {
if (copyArray8[i] == copyArray8[i - 1])
counter++;
else
continue;
}
for (int i = 1; i < copyArray9.length; i++) {
if (copyArray9[i] == copyArray9[i - 1])
counter++;
else
continue;
}
if (counter > 0)
isValid = false;
else
isValid = true;
return isValid;
}
Instead of using 9 different arrays and 9 different loops to represent each section of 9, I would have another nested for loop that iterates over each cluster using the same array.
//Iterate over each 'block'
for (int row = 0; row < 3; row++) {
for (int col = 0; col < 3; col++) {
//Iterate over each cell in the block
for (int i = row*3; i < (row+1)*3; i++) {
for (int j = col*3; j < (col+1)*3; j++) {
copyArray[(i - 3) * 3 + j - 3] = field[i][j];
}
}
//Sort array and do duplication check here - return false if dupe found
}
}
return true
This would cut down on the length of your code, although it may not be more efficient.
Instead of using a counter flag, it would be much faster to instead return false whenever you would have incremented the counter, and to return true at the end. This would prevent unnecessary code from running
Here a complete refactoring. Here the improuvements:
Created two new methods: createCopy and isValid
Deleted unused variables counter and isValid
Substituted 9 arrays with one two size array.
The code as not been tested, please take a bit careful attention on method createCopy in particular.
// Creates each block of 9 digits copying digits from field
// row, col are the block position, starting from upper left 0, 0 to
// last block 2, 2
public static int[] createCopy(int[] field, int row, int col) {
int[] copy = new int[9];
for (int i = 3 * row; i < 3 * row + 3; i++) {
for (int j = 3 * col; j < 3 * col + 3; j++) {
copy[(i - 3 * row) * 3 + j - 3 * col] = field[i][j];
}
}
return copy;
}
// Check if one block is valid
private static boolean isValid(int[] copyArray) {
Arrays.sort(copyArray);
for (int i = 1; i < copyArray.length; i++) {
if (copyArray[i] == copyArray[i - 1]) {
// Exit immediately if not valid
return false;
}
}
return true;
}
// Create blocks, then validate them
// At first not valid block return false
public static boolean validFieldParts() {
int[][] copyArrays = new int[3][3];
for (int row = 0; row < 3; row++) {
for (int col = 0; col < 3; col++) {
copyArrays[row][col] = createCopy(field, row, col);
}
}
for (int[] copyArray : copyArrays) {
if (!isValid(copyArray)) {
// Exit immediately if not valid
return false;
}
}
return true;
}

Make a square shape of asterisc around border of 2D Array

I am trying to fill with asterisks only the outside border of a 2D Array I have half of it done, but it seems that I cant get it to fill the last column and the last row in the 2D array.
so far I can do this
and here is my code:
for (int i = 0; i < array.length; i++)
{
for (int j = 0; j < array.length; j++)
{
if (array[i][j] == array[0][j] || array[i][j] == array[i][0])
{
array[i][j] = "*";
}
}
}
but obviously I want to finish the Square shape around the 2D array, so I tried something like this.
for (int i = 0; i < array.length; i++)
{
for (int j = 0; j < array.length; j++)
{
if (array[i][j] == array[array.length - 1][j]
|| array[i][j] == array[i][array.length - 1])
{
array[i][j] = "*";
}
}
}
My idea was just to go to the last valid position in the 2D array and simply print the column and the row but it doesn't seem to work. Thanks to all the help I can get, I really appreciate it as I'm a learner in Java.
#Ricki, your line of thinking was right, but what you didn't consider is that array[i][j] == array[array.length - 1][j] doesn't compare the "shell" per say, but the inner value of it, so, even if array[1][1] != array[2][1], if their values are null they are equals.
Try using this code:
int _i = 10;
int _j = 10;
String[][] array = new String[_i][_j];
for (int i = 0; i < _i; i++) {
for (int j = 0; j < _j; j++) {
if(i==0 || j == 0 || i == _i-1|| j == _j-1){
array[i][j] = "*";
}
}
}
What i've done is comparing the first row (i==0), the first column (j==0), the last row (i == _i-1) and the last column (j == _j-1).
And then:
**********
* *
* *
* *
* *
* *
* *
* *
* *
**********
you can do something likewise,
public static void main(String[] args) {
int n = 5;
String [][] array = new String[n][n]; // 2-dimension array define...
for (int i = 0; i < array.length; i++) {
for (int j = 0; j < array.length; j++) {
if(i == 0 || (i == array.length-1 || j==0 || j==array.length-1)){ // if top,left,right,bottom line then this...
array[i][j] = "*|";
}else{ // if not border line then this...
array[i][j] = "_|";
}
}
}
for (int i = 0; i < array.length; i++) {
for (int j = 0; j < array.length; j++) {
System.out.print(array[i][j] + " ");
}
System.out.println("");
}
}
OUTPUT :

Finding the largest row and column, solution is inconsistent

Where is the logic error?.. Sometimes the solution is correct and sometimes it is not. The program is suppose to calculate the row with the greatest sum and column with the greatest sum. For example:
1 1 1 1
0 0 1 0
0 0 1 0
0 0 1 0
Then the output would be:
largest row = 0
largest column = 2 //since count starts at 0
This is what I have:
import java.util.Random;
public class LargestRowAndColumn {
public static void main(String[] args) {
Random f = new Random();
int[][] m = new int[4][4];
for (int i = 0; i < m.length; i++) {
for (int j = 0;j < m[0].length; j++) {
m[i][j] = f.nextInt(2);
}
}
for (int i = 0; i < m.length; i++) {
for (int j = 0;j < m[0].length; j++) {
System.out.print(m[i][j] + " ");
}
System.out.println();
}
System.out.println("The largest row is index: " + computeRow(m));
System.out.println("The largest column is index: " + computeColumn(m));
}
public static int computeRow(int[][] m) {
int[] count = new int[m.length];
int sum;
for (int i = 0; i < 4; i++) {
sum = 0;
for (int j = 0; j < 4; j++) {
sum = sum + m[i][j];
}
count[i] = sum;
}
int maxIndex = 0;
for (int i = 0; i < i + 1; i++) {
for (int j = count.length - 1; j >= i; j--) {
if (count[i] < count[j]) {
maxIndex = j;
break;
}
}
}
return maxIndex;
}
public static int computeColumn(int[][] m) {
int[] count = new int[m.length];
int sum = 0;
for (int i = 0; i < 4; i++) {
sum = 0;
for (int j = 0; j < 4; j++) {
sum = sum + m[j][i];
}
count[i] = sum;
}
int maxIndex = 0;
for (int i = 0; i < i + 1; i++) {
for (int j = count.length - 1; j >= i; j--) {
if (count[i] < count[j]) {
maxIndex = j;
break;
}
}
}
return maxIndex;
}
}
Your maxIndex nested loop is too complex. It should be a single loop, checking the current max value seen so far with the current item in the loop. Something like this:
int maxIndex = 0;
for (int i = 1; i < count.length; i++) {
if (count[i] > count[maxIndex]) {
maxIndex = i;
}
}
return maxIndex;
Your code is correct , but
for (int i = 0; i < m.length; i++) {
for (int j = 0;j < m[0].length; j++) {
m[i][j] = f.nextInt(2);
}
}
for (int i = 0; i < m.length; i++) {
for (int j = 0;j < m[0].length; j++) {
System.out.print(m[i][j] + " ");
}
Because of the two loops:
You are creating two random 2-dimensional array instead of one.
There is one which is being printed and the other one which is not being printed but being used for index values you require so do :
System.out.print("Index" + "\t0"+"\t1"+"\t2"+"\t3" +"\n");
System.out.print("--------------------------------------------\n");
for (int i = 0; i < m.length; i++) {
System.out.print(i+ "|\t");
for (int j = 0;j < m[0].length; j++) {
m[i][j] = f.nextInt(101);
System.out.print(m[i][j] + " \t");
}
System.out.println();
}
This will also print the index, which may assist you
Why you made your job difficult. Make 2 loops, 1 for calculating the row with biggest sum, 1 for calculating the line with the bigger sum.
You don't need an int array count[i]. In your example you calculate the row with the greatest sum, you don't need to know the sum of every row after the for loop finished, so you can use a simple int bigRow.
int bigRow = 1, sumRow = 0;
// We assume that 1st row is the biggest
// Calculate the sumRow
for (int j=0;j<n;j++)
sumRow = sumRow + m[i][j] ;
// At this moment our maximum is row 1 with its sum.
// Now we compare it with the rest of the rows
// If another row is bigger, we set him as the biggest row
for ( int i=1;i<n;i++) // We start with row 2 as we calculated the 1st row
{ int auxRow = 0;
for (int j=0;j<m;j++)
{ auxRow = auxRow + m[i][j] ; }
if (auxRow > sumRow ) { auxRow=sumRow ; bigRow = i;}
}
Do the same with lines.
int bigLine = 1, sumLine = 0 ;
Let me know if you have another problem.

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