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Code problem: Huffman encodingGiven a string s of length at most 104 over the alphabet of lower case latin letters. In the first line output the number k of different symbols and the length l of a binary encoding. In each of the next k lines output a binary code of a symbol in the form "<symbol>: <code>". In the last line output the encoded string. Sample Input 1:aSample Output 1:1 1a: 00Sample Input 2:abacabadSample Output 2:4 14a: 0b: 10c: 110d: 11101001100100111Memory Limit: 256 MBTime Limit: 5 secondsHuffman decodingGiven a Huffman encoding e of a string s output s.The first line of the input contains the number k of different symbols in s and the length l of the encoding e of s. Each of the following k lines define a binary encoding of a symbol in the format "<symbol>: <code>". None of the codes is a prefix of another. The symbols are lower case latin letters. Each of the given k symbols appears in s. The last line of the input contains the encoding e. Output the string s. The length of s is at most 104.Sample Input 1:1 1a: 00Sample Output 1:aSample Input 2:4 14a: 0b: 10c: 110d: 11101001100100111Sample Output 2:abacabadMemory Limit: 256 MBTime Limit: 5 seconds
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