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is currently standing at stair 0 and wants to reach exactly the stair numbered C.The programmer can climb either H steps or 1 step in one move. Find the minimum number of moves required by the programmer to reach exactly the stair C.Input FormatThe first line of input will contain a single integer T, denoting the number of test cases.Each test case consists of a single line of input containing two space separated integers C and H denoting the number of stair the programmer wants to reach and the number of stairs the programmer can climb in one move.Constraints1 <= T <= 5001 <= C, H <= 100Output FormatFor each test case, output the minimum number of moves required by the programmer to reach exactly the stair numbered C.Sample Input 044 28 33 42 1Sample Output 02432Sample Input 13374 30588 71305 309Sample Output 17018305

Question

is currently standing at stair 0 and wants to reach exactly the stair numbered C.The programmer can climb either H steps or 1 step in one move. Find the minimum number of moves required by the programmer to reach exactly the stair C.Input FormatThe first line of input will contain a single integer T, denoting the number of test cases.Each test case consists of a single line of input containing two space separated integers C and H denoting the number of stair the programmer wants to reach and the number of stairs the programmer can climb in one move.Constraints1 <= T <= 5001 <= C, H <= 100Output FormatFor each test case, output the minimum number of moves required by the programmer to reach exactly the stair numbered C.Sample Input 044 28 33 42 1Sample Output 02432Sample Input 13374 30588 71305 309Sample Output 17018305

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Solution

To find the minimum number of moves required by the programmer to reach the stair numbered C, we can use the following steps:

  1. Read the number of test cases, T.

  2. Start a loop to iterate through each test case.

  3. Read the values of C and H for the current test case.

  4. Calculate the remainder when C is divided by H. Let's call this remainder R.

  5. If R is equal to 0, then the programmer can reach the stair C in C/H moves. Output this value and move to the next test case.

  6. If R is not equal to 0, then the programmer needs to take an additional move to reach the stair C. Output C/H + 1 as the minimum number of moves and move to the next test case.

  7. Repeat steps 3-6 for all test cases.

  8. End of the program.

Sample Input Explanation:

  • The first test case has C = 0 and H = 44. The programmer can reach the stair 0 in 0 moves.
  • The second test case has C = 28 and H = 33. The programmer can reach the stair 28 in 1 move.
  • The third test case has C = 42 and H = 1. The programmer can reach the stair 42 in 42 moves.

Sample Output Explanation:

  • The first test case requires 0 moves.
  • The second test case requires 1 move.
  • The third test case requires 42 moves.

Sample Input Explanation:

  • The first test case has C = 13374 and H = 30588. The programmer can reach the stair 13374 in 1 move.
  • The second test case has C = 71305 and H = 309. The programmer can reach the stair 71305 in 170 moves.

Sample Output Explanation:

  • The first test case requires 1 move.
  • The second test case requires 170 moves.

This problem has been solved

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