Given two numbers A, B. The task is to find the numbers of special pairs of A, B. A special pair of two numbers A, B is a pair of numbers X, Y which satisfies the both of the given conditions – A = X | Y, B = X & Y.
Input: A = 3, B = 0 Output: 2 (0, 3), (1, 2) will satisfy the conditions Input: A = 5, B = 7 Output: 0
Approach: The key observation here is that if we want the OR of two numbers, X, Y to be equal to A. Then both X, Y has to be less than or equal to A. If anyone is greater A then there OR won’t be equal to A. This will give us the limits where our loop will terminate, rest we will try and check if two pairs meet the given condition, then we will increment the counter.
Below is the required implementation:
- Count number of Special Set
- Count the number of special permutations
- Find Largest Special Prime which is less than or equal to a given number
- Count ordered pairs of positive numbers such that their sum is S and XOR is K
- Count possible combinations of pairs with adjacent elements from first N numbers
- Find Unique pair in an array with pairs of numbers
- Number of pairs with Bitwise OR as Odd number
- Count number of pairs (i, j) such that arr[i] * arr[j] > arr[i] + arr[j]
- Find the number of pairs (a, b) such that a % b = K
- Number of pairs whose sum is a power of 2
- Number of prime pairs in an array
- Count pairs with Bitwise AND as ODD number
- Count pairs with Bitwise OR as Even number
- Maximize the number of sum pairs which are divisible by K
- Find number of pairs in an array such that their XOR is 0
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