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Path Queries PATH QUERIES Problem Statement Amy went to a state which has N cities, numbered from 1 to N. There is bidirectional road connecting city X and Y if: X – Y >= K. She has Q queries. In each query she has two integers A and B and she wants to know if there exists a path from city A to city B. Help her by answering her queries. You are given T independent test cases. Constraints 1 <= T <= 10 1 <= N <= 107 1 <= Q <= 105 1 <= K <= N All input values are integers. Input Format First-line contains T. First line of each test case consists of three space separated integers N, K and Q. Next Q, lines of each test case consist of two space separated integers A and B. (1<=A, B<=N) Output Format For each test case, print in a newline for each query: 1 if a path exits from city A to city B otherwise print 0. Sample Input 1 1 3 2 2 1 2 1 3 Sample Output 1 0 1 Explanation of Sample 1 The state has only one road, i.e., between city 1 and city 3 as if X = 3, Y = 1, then 3 – 1 > = 2 (K=2 here). Things to Note for the Candidate :You can use your own IDE like Visual Studio Code, Eclipse, or any other IDE that you are comfortable with to build your solution code. The IDE provided on the platform is purely for submission. Avoid using the IDE for coding out the solution. Test against any custom input in your own IDE. In the IDE provided on the platform, you cannot pass custom test cases and see the output. Use standard input and standard output in your program for the IDE to run the test cases smoothly against your code. We are giving a sample problem statement along with a solution that will pass the test cases in the IDE. - Sample Problem Statement (Right Click and Open in New Tab to view.)

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