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Build a treeTime Limit: 2000/1000 MS (Java/Others) Memory Limit: 524288/524288 K (Java/Others)Total Submission(s): 1826 Accepted Submission(s): 697 Problem Description HazelFan wants to build a rooted tree. The tree has $n$ nodes labeled $0$ to $n-1$, and the father of the node labeled $i$ is the node labeled $\lfloor\frac{i-1}{k}\rfloor$. HazelFan wonders the size of every subtree, and you just need to tell him the XOR value of these answers. Input The first line contains a positive integer $T(1\leq T\leq5)$, denoting the number of test cases. For each test case: A single line contains two positive integers $n,k(1\leq n,k\leq10^{18})$. Output For each test case: A single line contains a nonnegative integer, denoting the answer. Sample Input
Sample Output
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