第六章-树和二叉树

1、1第六章第六章 树和二叉树树和二叉树2第六章第六章 树和二叉树树和二叉树3第六章第六章 树和二叉树树和二叉树4第六章第六章 树和二叉树树和二叉树5第六章第六章 树和二叉树树和二叉树67ABCDEFGHIJKLMA AB BC CD DE EF FG GH HI IJ JK KL LMM8IJFKLGMCCDBEAI IJ JF FK KL LG GMMCCDBEA9ABCDEFGHIJKLMA AB BC CD DE EF FG GH HI IJ JK KL LMM1011ABCDEFGHIJKLMA AB BC CD DE EF FG GH HI IJ JK KL LMM1213414151

2、61718192021222324252627n2log282930313233 单支树单支树343536373839404142F F( ( ( (根根结结点点根根结结点点) ) ) )( ( ( (右右子子树树右右子子树树) ) ) )( ( ( (左左子子树树左左子子树树) ) ) )A AG GE ED DC CB BF F F F( ( ( (根根结结点点根根结结点点) ) ) )( ( ( (右右子子树树右右子子树树) ) ) )( ( ( (左左子子树树左左子子树树) ) ) )A AG GE ED DC CB B( ( ( (根根结结点点根根结结点点) ) ) )( ( ( (

3、右右子子树树右右子子树树) ) ) )( ( ( (左左子子树树左左子子树树) ) ) )A A A AG G G GE E E ED D D DC C C CB B B B 434445/-abcd图1 (a-b)/(c+d)/-abcd/-ab-abcdcd图1 (a-b)/(c+d)/bca-+d图2 a-(b/c+d)/bca-+d/bc/bca-+d图2 a-(b/c+d)/bca-+d图3 a-b/c+d/bca-+d/bc/bca-+d图3 a-b/c+d46/-abcd图1 (a-b)/(c+d)/-abcd/-ab-abcdcd图1 (a-b)/(c+d)4748AEBCDF

4、HIGJAEBCDFHIGJABECDHIGJAABECDHIGJF49ABFGCEDHIJABFGCEDHIJABECDFGJHIABECDFGJHI50515253545556-+/a*b-efcd先序遍历：先序遍历：中序遍历：后序遍历：后序遍历：层次遍历：-+ a * b - c d / e f-+a*b-cd/ef- +a *b - c d/e f-+a*b-c d/e f5758596061lchildltagdatartag rchildlchildltagdatartag rchild6263646566676869707172737475767778798081 A B C D

5、 E F G H I829 A0 B1 C1 D 2 E 2 F3 G5 H 5 I5 IACBHGFED8384858687888990919293949596BCEDAGFKIJH97miilE110niiilwWPL9899100101分数05960697079808990100比例数0.05015040030010分数05960697079808990100比例数0.05015040030010a60a70a80a90badpassgeneralgoodexcellentYYYYNNNNa60a70a80a90badpassgeneralgoodexcellenta60a70a80a9

6、0badpassgeneralgoodexcellentYYYYNNNN70=a8080=a9060=a70a60generalgoodpassbadexcellentYYYYNNNN70=a8080=a9060=a70a60generalgoodpassbadexcellent70=a8080=a9060=a70a60generalgoodpassbadexcellentYYYYNNNN102a80a70a90a60generalbadpassgoodexcellentYYYYNNNa80a70a90a60generalbadpassgoodexcellentYYYYNNN103104105

7、10640403030606015155 5 10101515303030305 5 1010151540404040303015155 5 1010151540403030303015155 5 10101515哈夫曼树中权值小的结点离根远权值大的结点离根近40401001003030606015155 5 101015153030107108109110111112113114115116117118119120 0 1 0 0123456781 00 0 0 00 1 0 10 0 11 10 0 0 10 1 11211 15 50 00 00 02 225250 00 00 03 3

8、3 30 00 00 04 46 60 00 00 05 510100 00 00 06 611110 00 00 07 736360 00 00 08 84 40 00 00 09 90 00 00 010100 00 00 011110 00 00 012120 00 00 013130 00 00 014140 00 00 015150 00 00 0weightparent lchild rchild1 15 510100 00 02 2252514140 00 03 33 39 90 00 04 46 610100 00 05 5101011110 00 06 6111112120 00 07 7363614140 00 08 84 49 90 00 09 97 711113 38 81010111112121 14 41111171713135 59 91212222214146 61010131339391515111112121