## The signal s can only contain 0s and/or 1s; if there exists other numbers, characters or symbols, e.g. 7, 8, #, ^, u, o, and so on, s is not an interweaving of x and y.

### computer science

##### Description

1. Basically it is asking to come up with a signal s and two emissions x and y, as well as to determine if the signal s is an interweaving of the emissions x and y. For example, suppose x = 101 and y = 0, then s = 100010101 is an interweaving of x and y since characters 1, 2, 5, 7, 8 and 9 form 101101 which is a repetition of x and remaining characters 3, 4, 6 form 000 which is a repetition of y. Here are some conditions:

1. The length of s must be longer than x and y.
2. The signal s can only contain 0s and/or 1s; if there exists other numbers, characters or symbols, e.g. 7, 8, #, ^, u, o, and so on, s is not an interweaving of x and y.
3. The signal s may contain up to only 1 character  at the front or the back that doesn't match the pattern of x or y, e.g.
4. Suppose x = 10 and y = 0 then s = 101001 is still interweaving of x and y, as the characters 1, 2, 3, 4 form 1010 a repetition of x and the characters 5 forms 0 which is y. Even though the character 7 doesn't match the pattern of x or y, we can purge it and s is still interweaving of x and y.
5. Suppose x = 100 and y = 1 then 011100 is still interweaving of x and y, as the characters 4, 5, 6 form 100 which is x and the characters 2 and 3 form 11 which is repetition of y. Even though the character 1 doesn't match the pattern of x or y, we can purge it and s is still interweaving of x and y.
6. The input file shall contain multiple sets of s, x and y and the output shall provide the result for each set of input whether s is interweaving of x and y or not; if yes, please list the characters that form x and y and purged character (if any), if no, please list the reason why, e.g. there is a "#" symbol in character 6 of s so s is not interweaving of x and y.
7. The input file shall contain 5 to 15 examples but the program should be able to process as many examples as it can.
8. Please incorporate some mechanism to count the number of computational steps in the program.

It is much appreciate if you could provide the solution by next Monday. Please refer to the attachment for detailed requirements.

Thanks,

Preston

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