TELEPHONE ALPHABETICS

PROB4: TELEPHONE ALPHABETICS

Using the telephone pad for alphabetic input.

A telephone set has 12 buttons, as shown in the figure below (and some additional buttons, which are not relevant to this problem). On certain occasions (for example, when the user wishes to add a new name to the private phone directory stored in the telephone set) the telephone set is in alphabetical entry mode. In alphabetical entry mode, the user can enter a certain letter by pressing the corresponding digit key as many times as the position (in left-to-right order) of the desired letter on that particular key. For example, pressing the key 7 once means a 'P', whereas pressing the same key four times means an 'S'. The # key is used to separate successive letters. However, as shown by the examples to be given, pressing the # key between two letters may be omitted when it is clear where one letter ends and the next one begins.

Telephone Keypad

1 2 ABC 3 DEF 4 GHI 5 JKL 6 MNO 7 PQRS 8 TUV 9 WXYZ

An example input, in prob4.dat, is

column 111111111122222222223 123456789012345678901234567890 line 1:2#2226[EOL] 2:777666222559996#6668866#8244466[EOL] 3:777334#444666662555[EOL] 4:7#777666477726#6444664222666#6683377778[EOL] :[EOF]

With this example input, your program should create a file prob4.out with the following contents:

column 111111111122222222223 123456789012345678901234567890 line 1:Program 4 by team 0[EOL] 2:ACM[EOL] 3:ROCKYMOUNTAIN[EOL] 4:REGIONAL[EOL] 5:PROGRAMMINGCONTEST[EOL] 6:End of program 4 by team 0[EOL] :[EOF]

The input, prob4.dat, contains one or more lines, and each line contains one or more characters.
The only characters (in addition to end-of-line and end-of-file) that may appear in the input are the digits 2 through 9 and the pound character #. There will not be leading or trailing blank spaces or tabs in the input.
The first character of every line will be a digit. The last character (except for end-of-line) of every line will also be a digit.
The last line of the input will be terminated by end-of-line.
Each digit or # in the input will be interpreted by your program as a keystroke on the above telephone set in alphabetical entry mode.
Every line of input will produce one line of output, consisting of the alphabetical interpretation of the input line (in upper case letters).
The end-of-line (in addition to the # character) will also be interpreted by your program as a separator between letters. In other words, the encoding of a letter will not cross a line boundary in the input.
The separator # between letters may be omitted between two digits that are different. For example, in the first line of the above input, the separator between 222 and 6 has been omitted, inserting a separator at this point would not affect the output. On the other hand, in the second line of input, you see a redundant separator between 66 and 8. Removing this separator will not affect the output.
The separator # between letters may also be omitted in the case of a "long" stream of the same digit: a stream of more than four occurrences of 7, more than four occurrences of 9, or a stream of more than three occurrences of one of the other digits. For example, in the third line of the above input, there is a stream of five 6's. Inserting a separator after the first three 6's would not affect the output. Similarly, in the fourth line of the above input, removing the separator between the three 6's and the two 6's would not affect the output. More generally, in case of a long stream of 6's (or of any other digit other than 7 or 9) a separator could be inserted after every third 6 (starting from the left), without affecting the output. For example, 99996666666666666666 is equivalent to 9999666#666#666#666#666#6, which would produce the output ZOOOOOM. The same rule applies to long streams of 7's or 9's, with "three" replaced by "four."
The input will not contain two or more consecutive separators.
The output will not contain blank lines. Each line of output will contain only upper case letters.