Each system is started by tipping over key domino number 1.
The file ends with an empty system (with n = m = 0), which should not be processed.
Output
For each case output a line stating the number of the case ('System #1', 'System #2', etc.). Then output a line containing the time when the last domino falls, exact to one digit to the right of the decimal point, and the location of the last domino falling, which is either at a key domino or between two key dominoes(in this case, output the two numbers in ascending order). Adhere to the format shown in the output sample. The test data will ensure there is only one solution. Output a blank line after each system.Sample Input
2 1 1 2 27 3 3 1 2 5 1 3 5 2 3 5 0 0
Sample Output
System #1 The last domino falls after 27.0 seconds, at key domino 2. System #2 The last domino falls after 7.5 seconds, between key dominoes 2 and 3.