#### Binary Search 2d Array

A
```package com.thealgorithms.searches;

/*
To apply this method, the provided array must be strictly sorted. In this method, two pointers, one
at 0th row & the other at the last row are taken & the searching is done on the basis of the middle
element of the middle column. If that element is equal to target, its coordinates are returned, else
if it is smaller than the target, the rows above that element are ignored (because the elements
above it will also be smaller than the target), else that element is greater than the target, then
the rows below it are ignored.
*/
public final class BinarySearch2dArray {
private BinarySearch2dArray() {
}

static int[] binarySearch(int[][] arr, int target) {
int rowCount = arr.length;
int colCount = arr[0].length;

if (rowCount == 1) {
return binarySearch(arr, target, 0, 0, colCount);
}

int startRow = 0;
int endRow = rowCount - 1;
int midCol = colCount / 2;

while (startRow < endRow - 1) {
int midRow = startRow + (endRow - startRow) / 2; // getting the index of middle row

if (arr[midRow][midCol] == target) {
return new int[] {midRow, midCol};
} else if (arr[midRow][midCol] < target) {
startRow = midRow;
} else {
endRow = midRow;
}
}
/*
if the above search fails to find the target element, these conditions will be used to
find the target element, which further uses the binary search algorithm in the places
which were left unexplored.
*/
if (arr[startRow][midCol] == target) {
return new int[] {
startRow,
midCol,
};
}

if (arr[endRow][midCol] == target) {
return new int[] {endRow, midCol};
}

if (target <= arr[startRow][midCol - 1]) {
return binarySearch(arr, target, startRow, 0, midCol - 1);
}

if (target >= arr[startRow][midCol + 1] && target <= arr[startRow][colCount - 1]) {
return binarySearch(arr, target, startRow, midCol + 1, colCount - 1);
}

if (target <= arr[endRow][midCol - 1]) {
return binarySearch(arr, target, endRow, 0, midCol - 1);
} else {
return binarySearch(arr, target, endRow, midCol + 1, colCount - 1);
}
}

static int[] binarySearch(int[][] arr, int target, int row, int colStart, int colEnd) {
while (colStart <= colEnd) {
int midIndex = colStart + (colEnd - colStart) / 2;

if (arr[row][midIndex] == target) {
return new int[] {
row,
midIndex,
};
} else if (arr[row][midIndex] < target) {
colStart = midIndex + 1;
} else {
colEnd = midIndex - 1;
}
}

return new int[] {-1, -1};
}
}
```