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73 changes: 73 additions & 0 deletions TestBinarySearch2
Original file line number Diff line number Diff line change
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public class BinarySearch {

/**
* Searches an element {@param n} in a sorted array {@param a}
* and returns its index in O(log n) time. The Index may not
* correspond to the first occurrence of the element.
*
* @param a sorted array to be searched
* @param n number to be searched in the array
* @return index of {@param n} or {@code -1} if not present
*/
public static int binarySearch(int[] a, int n) {
return binarySearch(a, n, 0, a.length - 1);
}

public static int binarySearch(int[] a, int n, int low, int high) {

if (low <= high) {
int mid = (low + high) / 2; // to prevent overflow you can instead do: mid = low + (high - low) / 2

if (n == a[mid]) {
return mid;
} else if (n < a[mid]) {
return binarySearch(a, n, 0, mid - 1);
} else {
return binarySearch(a, n, mid + 1, high);
}
} else {
return -1;
}
}

/**
* Non-recursive version of binary search.
*
* @param a sorted array to be searched
* @param n number to be searched in the array
* @return index of {@param n} or {@code -1} if not present
*/
public static int binarySearchNonRecursive(int[] a, int n) {
int low = 0, high = a.length, mid;
while (low <= high) {
mid = (low + high) / 2; // to prevent overflow you can instead do: mid = low + (high - low) / 2
if (n == a[mid]) {
return mid;
} else if (n < a[mid]) {
high = mid - 1;
} else {
low = mid + 1;
}
}
return -1;
}

/**
* Driver for testing.
*
* @param a
*/
public static void main(String[] args) {
System.out.println(binarySearch(new int[]{0, 2}, 2));
System.out.println(binarySearch(new int[]{0, 1, 2, 3}, 2));
System.out.println(binarySearch(new int[]{0, 1, 2, 3}, 3));
System.out.println(binarySearch(new int[]{0, 2}, 0));
System.out.println(binarySearch(new int[]{0, 1, 2, 2, 2, 3, 3}, 2)); // doesn't return index of first occurrence
System.out.println("---------");
System.out.println(binarySearchNonRecursive(new int[]{0, 2}, 2));
System.out.println(binarySearchNonRecursive(new int[]{0, 1, 2, 3}, 2));
System.out.println(binarySearchNonRecursive(new int[]{0, 1, 2, 3}, 3));
System.out.println(binarySearchNonRecursive(new int[]{0, 2}, 0));
System.out.println(binarySearchNonRecursive(new int[]{0, 1, 2, 2, 2, 3, 3}, 2));
}
}