{"id":92059,"date":"2024-03-21T14:43:50","date_gmt":"2024-03-21T05:43:50","guid":{"rendered":"https:\/\/www.silicloud.com\/ja\/blog\/%e3%82%b8%e3%83%a3%e3%83%90%e3%81%a7%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%82%92%e5%ae%9f%e8%a3%85%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95\/"},"modified":"2024-04-04T18:08:26","modified_gmt":"2024-04-04T09:08:26","slug":"%e3%82%b8%e3%83%a3%e3%83%90%e3%81%a7%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%82%92%e5%ae%9f%e8%a3%85%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/ja\/blog\/%e3%82%b8%e3%83%a3%e3%83%90%e3%81%a7%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%82%92%e5%ae%9f%e8%a3%85%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b8\u30e3\u30d0\u3067\u5e73\u8861\u4e8c\u5206\u6728\u3092\u5b9f\u88c5\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"

\u30d0\u30e9\u30f3\u30b9\u306e\u3068\u308c\u305f2\u5206\u6728\u3092\u5b9f\u73fe\u3059\u308b\u306b\u306f\u3001\u8d64\u9ed2\u6728\u3084AVL\u6728\u306a\u3069\u306e\u81ea\u5df1\u8abf\u65742\u5206\u63a2\u7d22\u6728\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u4ee5\u4e0b\u306bAVL\u6728\u3092\u4f7f\u3063\u3066\u30d0\u30e9\u30f3\u30b9\u306e\u3068\u308c\u305f2\u5206\u6728\u3092\u5b9f\u73fe\u3059\u308b\u30b3\u30fc\u30c9\u4f8b\u3092\u793a\u3059\u3002<\/p>\n

\/\/\u00a0AVL\u6811\u8282\u70b9\u7c7b\r\nclass\u00a0Node\u00a0{<\/pre>\n
int\u00a0val;<\/p>\n
 <\/p>\n
int\u00a0height;<\/p>\n
 <\/p>\n
Node\u00a0left;<\/p>\n
 <\/p>\n
Node\u00a0right;<\/p>\n
 <\/p>\n
Node(int\u00a0val)\u00a0{<\/p>\n
 <\/p>\n
this.val\u00a0=\u00a0val;<\/p>\n
 <\/p>\n
this.height\u00a0=\u00a01;<\/p>\n
 <\/p>\n
} } \/\/\u00a0\u5e73\u8861\u4e8c\u53c9\u6811\u7c7b class\u00a0AVLTree\u00a0{<\/p>\n
 <\/p>\n
private\u00a0Node\u00a0root;<\/p>\n
 <\/p>\n
\/\/\u00a0\u83b7\u53d6\u8282\u70b9\u7684\u9ad8\u5ea6<\/p>\n
 <\/p>\n
private\u00a0int\u00a0getHeight(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(node\u00a0==\u00a0null)\u00a0{<\/p>\n
 <\/p>\n
return\u00a00;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
return\u00a0node.height;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u66f4\u65b0\u8282\u70b9\u7684\u9ad8\u5ea6<\/p>\n
 <\/p>\n
private\u00a0void\u00a0updateHeight(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
node.height\u00a0=\u00a0Math.max(getHeight(node.left),\u00a0getHeight(node.right))\u00a0+\u00a01;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u83b7\u53d6\u8282\u70b9\u7684\u5e73\u8861\u56e0\u5b50<\/p>\n
 <\/p>\n
private\u00a0int\u00a0getBalanceFactor(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(node\u00a0==\u00a0null)\u00a0{<\/p>\n
 <\/p>\n
return\u00a00;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
return\u00a0getHeight(node.left)\u00a0–\u00a0getHeight(node.right);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u53f3\u65cb\u64cd\u4f5c<\/p>\n
 <\/p>\n
private\u00a0Node\u00a0rightRotate(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
Node\u00a0newRoot\u00a0=\u00a0node.left;<\/p>\n
 <\/p>\n
node.left\u00a0=\u00a0newRoot.right;<\/p>\n
 <\/p>\n
newRoot.right\u00a0=\u00a0node;<\/p>\n
 <\/p>\n
updateHeight(node);<\/p>\n
 <\/p>\n
updateHeight(newRoot);<\/p>\n
 <\/p>\n
return\u00a0newRoot;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u5de6\u65cb\u64cd\u4f5c<\/p>\n
 <\/p>\n
private\u00a0Node\u00a0leftRotate(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
Node\u00a0newRoot\u00a0=\u00a0node.right;<\/p>\n
 <\/p>\n
node.right\u00a0=\u00a0newRoot.left;<\/p>\n
 <\/p>\n
newRoot.left\u00a0=\u00a0node;<\/p>\n
 <\/p>\n
updateHeight(node);<\/p>\n
 <\/p>\n
updateHeight(newRoot);<\/p>\n
 <\/p>\n
return\u00a0newRoot;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u5e73\u8861\u8282\u70b9<\/p>\n
 <\/p>\n
private\u00a0Node\u00a0balance(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(node\u00a0==\u00a0null)\u00a0{<\/p>\n
 <\/p>\n
return\u00a0null;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
updateHeight(node);<\/p>\n
 <\/p>\n
int\u00a0balanceFactor\u00a0=\u00a0getBalanceFactor(node);<\/p>\n
 <\/p>\n
if\u00a0(balanceFactor\u00a0>\u00a01)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(getBalanceFactor(node.left)\u00a0>=\u00a00)\u00a0{<\/p>\n
 <\/p>\n
return\u00a0rightRotate(node);<\/p>\n
 <\/p>\n
}\u00a0else\u00a0{<\/p>\n
 <\/p>\n
node.left\u00a0=\u00a0leftRotate(node.left);<\/p>\n
 <\/p>\n
return\u00a0rightRotate(node);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
}\u00a0else\u00a0if\u00a0(balanceFactor\u00a0<\u00a0-1)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(getBalanceFactor(node.right)\u00a0<=\u00a00)\u00a0{<\/p>\n
 <\/p>\n
return\u00a0leftRotate(node);<\/p>\n
 <\/p>\n
}\u00a0else\u00a0{<\/p>\n
 <\/p>\n
node.right\u00a0=\u00a0rightRotate(node.right);<\/p>\n
 <\/p>\n
return\u00a0leftRotate(node);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
return\u00a0node;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u63d2\u5165\u8282\u70b9<\/p>\n
 <\/p>\n
public\u00a0void\u00a0insert(int\u00a0val)\u00a0{<\/p>\n
 <\/p>\n
root\u00a0=\u00a0insert(root,\u00a0val);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
private\u00a0Node\u00a0insert(Node\u00a0node,\u00a0int\u00a0val)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(node\u00a0==\u00a0null)\u00a0{<\/p>\n
 <\/p>\n
return\u00a0new\u00a0Node(val);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
if\u00a0(val\u00a0<\u00a0node.val)\u00a0{<\/p>\n
 <\/p>\n
node.left\u00a0=\u00a0insert(node.left,\u00a0val);<\/p>\n
 <\/p>\n
}\u00a0else\u00a0if\u00a0(val\u00a0>\u00a0node.val)\u00a0{<\/p>\n
 <\/p>\n
node.right\u00a0=\u00a0insert(node.right,\u00a0val);<\/p>\n
 <\/p>\n
}\u00a0else\u00a0{<\/p>\n
 <\/p>\n
\/\/\u00a0\u5982\u679c\u6811\u4e2d\u5df2\u7ecf\u5b58\u5728\u76f8\u540c\u503c\u7684\u8282\u70b9\uff0c\u5219\u4e0d\u8fdb\u884c\u63d2\u5165<\/p>\n
 <\/p>\n
return\u00a0node;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
return\u00a0balance(node);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
\/\/\u00a0\u4e2d\u5e8f\u904d\u5386<\/p>\n
 <\/p>\n
public\u00a0void\u00a0inorderTraversal()\u00a0{<\/p>\n
 <\/p>\n
inorderTraversal(root);<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
private\u00a0void\u00a0inorderTraversal(Node\u00a0node)\u00a0{<\/p>\n
 <\/p>\n
if\u00a0(node\u00a0==\u00a0null)\u00a0{<\/p>\n
 <\/p>\n
return;<\/p>\n
 <\/p>\n
}<\/p>\n
 <\/p>\n
inorderTraversal(node.left);<\/p>\n
 <\/p>\n
System.out.print(node.val\u00a0+\u00a0”\u00a0“);<\/p>\n
 <\/p>\n
inorderTraversal(node.right);<\/p>\n
 <\/p>\n
} } \/\/\u00a0\u6d4b\u8bd5\u4ee3\u7801 public\u00a0class\u00a0Main\u00a0{<\/p>\n
 <\/p>\n
public\u00a0static\u00a0void\u00a0main(String[]\u00a0args)\u00a0{<\/p>\n
 <\/p>\n
AVLTree\u00a0tree\u00a0=\u00a0new\u00a0AVLTree();<\/p>\n
 <\/p>\n
tree.insert(3);<\/p>\n
 <\/p>\n
tree.insert(2);<\/p>\n
 <\/p>\n
tree.insert(1);<\/p>\n
 <\/p>\n
 <\/p>\n
 <\/p>\n
tree.inorderTraversal();\u00a0\u00a0\/\/\u00a0\u8f93\u51fa\uff1a1\u00a02\u00a03<\/p>\n
 <\/p>\n
} }<\/p>\n
<\/pre>\n
\u5e73\u88612\u5206\u6728\u306e\u4ee3\u8868\u7684\u306a\u5b9f\u88c5\u3067\u3042\u308bAVL\u6728\u306e\u4f5c\u6210\u30b5\u30f3\u30d7\u30eb\u30b3\u30fc\u30c9\u3067\u3059\u3002\u30ce\u30fc\u30c9\u306e\u633f\u5165\u3068\u305d\u306e\u518d\u69cb\u7bc9\u3001\u4e2d\u9806\u5de1\u56de\u306e\u5b9f\u88c5\u3092\u542b\u3093\u3067\u3044\u307e\u3059\u3002\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u4fee\u6b63\u3001\u62e1\u5f35\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
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