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Alarm Clock

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 585    Accepted Submission(s): 302


Problem Description
Advanced courses in computer science often include many interesting optimization problems. The following optimization problem is not advanced, nor is it particularly interesting. You are to write a program to determine the minimum number of buttons a person must push to set their alarm clock. Assume the alarm clock has 7 buttons ¨C hour-up, hour-down, tens-minute-up, and tens-minute-down, ones-minute-up, ones-minute-down, and am/pm. For example, continuously pushing the hour-up button will cause hour digit to go through the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, ¡­. Pushing the hour-down button will cause the sequence to go in the reverse order. Pushing the tens-minute-up buttons cycles tens minute digit through the numbers 0, 1, 2, 3, 4, 5, 0, 1, ¡­ Pushing the ones-minute-up button cycles the one digit through the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, ¡­ Pushing the am/pm button causes toggles the am/pm indicator.
 

Input
The first line of input will contain an integer indicating the number of problems that need to be processed. Each line will contain two times ¨C the first one the current time and the second one the desired time. All times will have the format: 1 or 2-digit hour; followed by a colon; followed by a 2-digit minute; followed by ¡°am¡± or ¡°pm¡±. A single space will separate the two times.
 

Output
Your program should produce one line of output for each problem using one of two formats: ¡±Going from 7:30am to 7:33am requires 3 pushes.¡± or ¡°Going from 7:30am to 7:20am requires 1 push.¡±
 

Sample Input
6 7:30am 7:30am 7:30am 7:33am 7:30am 7:20am 7:30am 7:27am 7:30am 7:30pm 7:10am 7:50am
 

Sample Output
Going from 7:30am to 7:30am requires 0 pushes. Going from 7:30am to 7:33am requires 3 pushes. Going from 7:30am to 7:20am requires 1 push. Going from 7:30am to 7:27am requires 4 pushes. Going from 7:30am to 7:30pm requires 1 push. Going from 7:10am to 7:50am requires 2 pushes.
 

Author
2008 ACM ICPC Regional hangzhou
 

Source
 

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