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Codificação de Huffman

O algoritmo de compress ̃ao de Huffman e ́ usado quando sabemos quantas vezes cada caractere apararece em um arquivo que deve ser comprimido. As etapas do algoritmo s ̃ao as seguintes:

1.- Cada par (caractere,frequencia) e ́ colocado na raiz de uma a ́ rvore bin ́aria que tem apenas um elemento. 2.- As duas a ́ rvores com menor frequencia s ̃ao escolhidas e unificadas, transformando-se em sub ́arvore esquerda e direita de uma nova a ́ rvore bin ́aria. A frequencia colocada na raiz desta a ́ rvore e ́ a soma das frequencias das suas sub- ́arvores. 3.- O passo anterior e ́ repetido at ́e que exista apenas uma grande a ́ rvore bin ́aria. 4.- A codificac ̧ a ̃ o e ́ feita associando-se bit 0 e 1 para as ligac ̧ o ̃ es esquerda e direita de um nodo. O caminho da raiz at ́e um caracter d ́a codificac ̧ a ̃ o do caracter. A implementac ̧ a ̃ o foi desenvolvida na linguagem Java.

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