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| 1 | +import java.util.*; |
| 2 | + |
| 3 | +abstract class Node implements Comparable<Node> { |
| 4 | + public int frequency; // the frequency of this tree |
| 5 | + public char data; |
| 6 | + public Node left, right; |
| 7 | + public Node(int freq) { |
| 8 | + frequency = freq; |
| 9 | + } |
| 10 | + |
| 11 | + // compares on the frequency |
| 12 | + public int compareTo(Node tree) { |
| 13 | + return frequency - tree.frequency; |
| 14 | + } |
| 15 | +} |
| 16 | + |
| 17 | +class HuffmanLeaf extends Node { |
| 18 | + |
| 19 | + |
| 20 | + public HuffmanLeaf(int freq, char val) { |
| 21 | + super(freq); |
| 22 | + data = val; |
| 23 | + } |
| 24 | +} |
| 25 | + |
| 26 | +class HuffmanNode extends Node { |
| 27 | + |
| 28 | + public HuffmanNode(Node l, Node r) { |
| 29 | + super(l.frequency + r.frequency); |
| 30 | + left = l; |
| 31 | + right = r; |
| 32 | + } |
| 33 | + |
| 34 | +} |
| 35 | + |
| 36 | + |
| 37 | +class Decoding { |
| 38 | + |
| 39 | +/* |
| 40 | + class Node |
| 41 | + public int frequency; // the frequency of this tree |
| 42 | + public char data; |
| 43 | + public Node left, right; |
| 44 | + |
| 45 | +*/ |
| 46 | + |
| 47 | + void decode(String s, Node root) |
| 48 | + { |
| 49 | + int n = s.length(); |
| 50 | + Node currentNode = root; |
| 51 | + StringBuilder decodedHuffString = new StringBuilder(); |
| 52 | + |
| 53 | + for(int i = 0; i < n; i++) |
| 54 | + { |
| 55 | + currentNode = (s.charAt(i) == '0')? currentNode.left : currentNode.right; |
| 56 | + |
| 57 | + if(currentNode.left == null && currentNode.right == null) |
| 58 | + { |
| 59 | + decodedHuffString = decodedHuffString.append(currentNode.data); |
| 60 | + currentNode = root; |
| 61 | + } |
| 62 | + } |
| 63 | + |
| 64 | + System.out.println(decodedHuffString.toString()); |
| 65 | + } |
| 66 | + |
| 67 | + |
| 68 | +} |
| 69 | + |
| 70 | + |
| 71 | +public class TreeHuffmanDecoding { |
| 72 | + |
| 73 | + // input is an array of frequencies, indexed by character code |
| 74 | + public static Node buildTree(int[] charFreqs) { |
| 75 | + |
| 76 | + PriorityQueue<Node> trees = new PriorityQueue<Node>(); |
| 77 | + // initially, we have a forest of leaves |
| 78 | + // one for each non-empty character |
| 79 | + for (int i = 0; i < charFreqs.length; i++) |
| 80 | + if (charFreqs[i] > 0) |
| 81 | + trees.offer(new HuffmanLeaf(charFreqs[i], (char)i)); |
| 82 | + |
| 83 | + assert trees.size() > 0; |
| 84 | + |
| 85 | + // loop until there is only one tree left |
| 86 | + while (trees.size() > 1) { |
| 87 | + // two trees with least frequency |
| 88 | + Node a = trees.poll(); |
| 89 | + Node b = trees.poll(); |
| 90 | + |
| 91 | + // put into new node and re-insert into queue |
| 92 | + trees.offer(new HuffmanNode(a, b)); |
| 93 | + } |
| 94 | + |
| 95 | + return trees.poll(); |
| 96 | + } |
| 97 | + |
| 98 | + public static Map<Character,String> mapA=new HashMap<Character ,String>(); |
| 99 | + |
| 100 | + public static void printCodes(Node tree, StringBuffer prefix) { |
| 101 | + |
| 102 | + assert tree != null; |
| 103 | + |
| 104 | + if (tree instanceof HuffmanLeaf) { |
| 105 | + HuffmanLeaf leaf = (HuffmanLeaf)tree; |
| 106 | + |
| 107 | + // print out character, frequency, and code for this leaf (which is just the prefix) |
| 108 | + //System.out.println(leaf.data + "\t" + leaf.frequency + "\t" + prefix); |
| 109 | + mapA.put(leaf.data,prefix.toString()); |
| 110 | + |
| 111 | + } else if (tree instanceof HuffmanNode) { |
| 112 | + HuffmanNode node = (HuffmanNode)tree; |
| 113 | + |
| 114 | + // traverse left |
| 115 | + prefix.append('0'); |
| 116 | + printCodes(node.left, prefix); |
| 117 | + prefix.deleteCharAt(prefix.length()-1); |
| 118 | + |
| 119 | + // traverse right |
| 120 | + prefix.append('1'); |
| 121 | + printCodes(node.right, prefix); |
| 122 | + prefix.deleteCharAt(prefix.length()-1); |
| 123 | + } |
| 124 | + } |
| 125 | + |
| 126 | + public static void main(String[] args) { |
| 127 | + Scanner input = new Scanner(System.in); |
| 128 | + |
| 129 | + String test= input.next(); |
| 130 | + |
| 131 | + // we will assume that all our characters will have |
| 132 | + // code less than 256, for simplicity |
| 133 | + int[] charFreqs = new int[256]; |
| 134 | + |
| 135 | + // read each character and record the frequencies |
| 136 | + for (char c : test.toCharArray()) |
| 137 | + charFreqs[c]++; |
| 138 | + |
| 139 | + // build tree |
| 140 | + Node tree = buildTree(charFreqs); |
| 141 | + |
| 142 | + // print out results |
| 143 | + printCodes(tree, new StringBuffer()); |
| 144 | + StringBuffer s = new StringBuffer(); |
| 145 | + |
| 146 | + for(int i = 0; i < test.length(); i++) { |
| 147 | + char c = test.charAt(i); |
| 148 | + s.append(mapA.get(c)); |
| 149 | + } |
| 150 | + |
| 151 | + //System.out.println(s); |
| 152 | + Decoding d = new Decoding(); |
| 153 | + d.decode(s.toString(), tree); |
| 154 | + |
| 155 | + } |
| 156 | +} |
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