Play with Floor and Ceil Theorem

For any two integers x and k there exists two more integers p and q such that: ⌊⌋ ⌈⌉ It’s a fairly easy task to prove this theorem, so we’d not ask you to do that. We’d ask for something even easier! Given the values of x and k, you’d only need to find integers p and q that satisfies the given equation. Input The first line of the input contains an integer, T (1 ≤ T ≤ 1000) that gives you the number of test cases. In each of the following T lines youd be given two positive integers x and k. You can safely assume that x and k will always be less than 108. Output For each of the test cases print two integers: p and q in one line. These two integers are to be separated by a single space. If there are multiple pairs of p and q that satisfy the equation, any one would do. But to help us keep our task simple, please make sure that the values, fit in a 64 bit signed integer. Sample Input 3 52 40 2 24444 6 Sample Output 11 11 06 x = p xk + q xk ⌊⌋ ⌈⌉ pxk and qxk