HuffmanDecoding | Topcoder Archive

Problem Statement

When text is encoded using Huffman codes, each symbol is replaced by a string of 0s and 1s called a bit string representation. The replacement is done in such a way that the bit string representation of a symbol is never the prefix of the bit string representation of any other symbol. This property allows us to unambiguously decode the encoded text.

You will be given a String archive and a String[] dictionary. The i-th element of dictionary will be the bit string representation of the i-th uppercase letter. Decode archive using dictionary and return the result as a single String.

Definition

Class:: HuffmanDecoding
Method:: decode
Parameters:: String, String[]
Returns:: String
Method signature:: String decode(String archive, String[] dictionary)
(be sure your method is public)

Constraints

archive will contain between 1 and 50 characters, inclusive.
archive will contain only the characters '0' (zero) and '1' (one).
dictionary will contain between 1 and 26 elements, inclusive.
Each element of dictionary will contain between 1 and 50 characters, inclusive.
Each element of dictionary will contain only the characters '0' (zero) and '1' (one).
No element of dictionary will be a prefix of any other element of dictionary.
archive will be decodable using dictionary

Examples

```
"101101"
```
```
{"00","10","01","11"}
```
```
Returns: "BDC"
```
Because there are no elements in dictionary that are prefixes of other elements, only one element of dictionary will be a prefix of archive. In this case, it is the second element ("10") which represents 'B'. The rest of the text can be decoded using the same logic.
```
"10111010"
```
```
{"0","111","10"}
```
```
Returns: "CBAC"
```
Note that elements of dictionary can be of different lengths.

"0001001100100111001"

{"1","0"}

Returns: "BBBABBAABBABBAAABBA"

'1' is replaced by 'A', '0' is replaced by 'B'.

"111011011000100110"

{"010","00","0110","0111","11","100","101"}

Returns: "EGGFAC"

"001101100101100110111101011001011001010"

{"110","011","10","0011","00011","111","00010","0010","010","0000"}

Returns: "DBHABBACAIAIC"

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