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  1. import java.util.Random;
  2.  
  3. public class Main {
  4.     public static void main(final String[] args) {
  5.         Tree t = Tree.leaf;
  6.  
  7.         for (final int i : sfl(seq(32), new java.util.Random()))
  8.             t = t.add(i);
  9.  
  10.         t.dump();
  11.     }
  12.  
  13.     public static int[] seq(final int c) {
  14.         final int[] a = new int[c];
  15.         for (int i = 0; i < c; i++)
  16.             a[i] = i;
  17.         return a;
  18.     }
  19.  
  20.     public static int[] sfl(final int[] a, final Random r) {
  21.         for (int i = a.length; i > 0; i--)
  22.             swap(a, i - 1, r.nextInt(i));
  23.         return a;
  24.     }
  25.  
  26.     public static void swap(final int[] a, final int i, final int j) {
  27.         final int t = a[i];
  28.         a[i] = a[j];
  29.         a[j] = t;
  30.     }
  31. }
  32.  
  33. abstract class Tree {
  34.     public static final Leaf leaf = Leaf.instance;
  35.  
  36.     public abstract Tree add(int v);
  37.     public abstract Tree del(int v);
  38.     public abstract void dump();
  39.     protected abstract Result add_(int v);
  40.     protected abstract Result del_(int v);
  41.     protected abstract Tree getLeft();
  42.     protected abstract Tree getRight();
  43.     protected abstract int getValue();
  44.     protected abstract int getHeight();
  45.     protected abstract void dump_(String s);
  46. }
  47.  
  48. class Leaf extends Tree {
  49.     public static final Leaf instance = new Leaf();
  50.  
  51.     private Leaf() {
  52.  
  53.     }
  54.  
  55.     @Override
  56.     public Tree add(final int v) {
  57.         return add_(v).node;
  58.     }
  59.  
  60.     @Override
  61.     protected Result add_(final int v) {
  62.         return new Result(false, new Node(v, 1, this, this));
  63.     }
  64.  
  65.     @Override
  66.     public Tree del(final int v) {
  67.         return del_(v).node;
  68.     }
  69.  
  70.     @Override
  71.     protected Result del_(final int v) {
  72.         throw new RuntimeException("not found");
  73.     }
  74.  
  75.     @Override
  76.     protected Tree getLeft() {
  77.         throw new RuntimeException("not implement");
  78.     }
  79.  
  80.     @Override
  81.     protected Tree getRight() {
  82.         throw new RuntimeException("not implement");
  83.     }
  84.  
  85.     @Override
  86.     protected int getValue() {
  87.         throw new RuntimeException("not implement");
  88.     }
  89.  
  90.     @Override
  91.     protected int getHeight() {
  92.         return 0;
  93.     }
  94.  
  95.     @Override
  96.     public void dump() {
  97.         dump_("");
  98.     }
  99.  
  100.     @Override
  101.     protected void dump_(final String s) {
  102.     }
  103. }
  104.  
  105. class Result {
  106.     final boolean balanced;
  107.     final Tree node;
  108.  
  109.     public Result(final boolean b, final Tree n) {
  110.         balanced = b;
  111.         node = n;
  112.     }
  113. }
  114.  
  115. class Node extends Tree {
  116.     final int value;
  117.     final int height;
  118.     final Tree left;
  119.     final Tree right;
  120.  
  121.     public Node(final int v, final int h, final Tree l, final Tree r) {
  122.         value = v;
  123.         height = h;
  124.         left = l;
  125.         right = r;
  126.     }
  127.  
  128.     @Override
  129.     protected Tree getLeft() {
  130.         return left;
  131.     }
  132.  
  133.     @Override
  134.     protected Tree getRight() {
  135.         return right;
  136.     }
  137.  
  138.     @Override
  139.     protected int getValue() {
  140.         return value;
  141.     }
  142.  
  143.     @Override
  144.     protected int getHeight() {
  145.         return height;
  146.     }
  147.  
  148.     @Override
  149.     public Tree add(final int v) {
  150.         return add_(v).node;
  151.     }
  152.  
  153.     @Override
  154.     protected Result add_(final int v) {
  155.         if (v < value)
  156.             return addFixL(left.add_(v));
  157.         else if (v > value)
  158.             return addFixR(right.add_(v));
  159.         else
  160.             throw new RuntimeException("not implement");
  161.     }
  162.  
  163.     @Override
  164.     public Tree del(final int v) {
  165.         return del_(v).node;
  166.     }
  167.  
  168.     @Override
  169.     protected Result del_(final int v) {
  170.         if (value == v) {
  171.             if (left == Leaf.instance)
  172.                 return new Result(false, right);
  173.             else if (right == Leaf.instance)
  174.                 return new Result(false, left);
  175.             else
  176.                 return (new Node(((Node) right).minValue(), height, left, right)).delFixR(((Node) right).delMin());
  177.         } else if (v < value)
  178.             return delFixL(left.del_(v));
  179.         else
  180.             return delFixR(right.del_(v));
  181.     }
  182.  
  183.     private int minValue() {
  184.         if (left == Leaf.instance)
  185.             return value;
  186.         else
  187.             return ((Node) left).minValue();
  188.     }
  189.  
  190.     private Result delMin() {
  191.         if (left == Leaf.instance)
  192.             return new Result(false, right);
  193.         else
  194.             return delFixL(((Node) left).delMin());
  195.     }
  196.  
  197.     private Result addFixL(final Result r) {
  198.         final Node n = new Node(value, height, r.node, right);
  199.         if (r.balanced)
  200.             return new Result(true, n);
  201.         else {
  202.             final Node nn = n.fixL_(0, 1);
  203.             return new Result(nn.left.getHeight() == nn.right.getHeight(), nn);
  204.         }
  205.     }
  206.  
  207.     private Result addFixR(final Result r) {
  208.         final Node n = new Node(value, height, left, r.node);
  209.         if (r.balanced)
  210.             return new Result(true, n);
  211.         else {
  212.             final Node nn = n.fixR_(0, 1);
  213.             return new Result(nn.left.getHeight() == nn.right.getHeight(), nn);
  214.         }
  215.     }
  216.  
  217.     private Result delFixR(final Result r) {
  218.         final Node n = new Node(value, height, left, r.node);
  219.         if (r.balanced)
  220.             return new Result(true, n);
  221.         else {
  222.             final Node nn = n.fixL_(-1, 0);
  223.             return new Result(nn.left.getHeight() != nn.right.getHeight(), nn);
  224.         }
  225.     }
  226.  
  227.     private Result delFixL(final Result r) {
  228.         final Node n = new Node(value, height, r.node, right);
  229.         if (r.balanced)
  230.             return new Result(true, n);
  231.         else {
  232.             final Node nn = n.fixR_(-1, 0);
  233.             return new Result(nn.left.getHeight() != nn.right.getHeight(), nn);
  234.         }
  235.     }
  236.  
  237.     private Node fixR_(final int b, final int u) {
  238.         switch (right.getHeight() - left.getHeight()) {
  239.         case 0:
  240.             return new Node(value, height + b, left, right);
  241.         case 1:
  242.             return new Node(value, height + u, left, right);
  243.         case 2:
  244.             return rotateLeft();
  245.         default:
  246.             throw new RuntimeException("invalid balance");
  247.         }
  248.     }
  249.  
  250.     private Node fixL_(final int b, final int u) {
  251.         switch (left.getHeight() - right.getHeight()) {
  252.         case 0:
  253.             return new Node(value, height + b, left, right);
  254.         case 1:
  255.             return new Node(value, height + u, left, right);
  256.         case 2:
  257.             return rotateRight();
  258.         default:
  259.             throw new RuntimeException("invalid balance");
  260.         }
  261.     }
  262.  
  263.     private Node rotateRight() {
  264.         final int h = right.getHeight();
  265.         switch (left.getLeft().getHeight() - left.getRight().getHeight()) {
  266.         case 1:
  267.             return rotateRight1(h + 2, h + 1);
  268.         case -1:
  269.             return rotateRight2(h + 2, h + 1, h + 1);
  270.         case 0:
  271.             return rotateRight1(h + 3, h + 2);
  272.         default:
  273.             throw new RuntimeException("invalid balance");
  274.         }
  275.     }
  276.  
  277.     private Node rotateLeft() {
  278.         final int h = left.getHeight();
  279.         switch (right.getRight().getHeight() - right.getLeft().getHeight()) {
  280.         case 1:
  281.             return rotateLeft1(h + 2, h + 1);
  282.         case -1:
  283.             return rotateLeft2(h + 2, h + 1, h + 1);
  284.         case 0:
  285.             return rotateLeft1(h + 3, h + 2);
  286.         default:
  287.             throw new RuntimeException("invalid balance");
  288.         }
  289.     }
  290.  
  291.     private Node rotateLeft1(final int nh, final int lh) {
  292.         return new Node(right.getValue(), nh, new Node(value, lh, left, right.getLeft()), right.getRight());
  293.     }
  294.  
  295.     private Node rotateLeft2(final int nh, final int lh, final int rh) {
  296.         final Node l = new Node(value, lh, left, right.getLeft().getLeft());
  297.         final Node r = new Node(right.getValue(), rh, right.getLeft().getRight(), right.getRight());
  298.         return new Node(right.getLeft().getValue(), nh, l, r);
  299.     }
  300.  
  301.     private Node rotateRight1(final int nh, final int rh) {
  302.         return new Node(left.getValue(), nh, left.getLeft(), new Node(value, rh, left.getRight(), right));
  303.     }
  304.  
  305.     private Node rotateRight2(final int nh, final int lh, final int rh) {
  306.         final Node l = new Node(left.getValue(), lh, left.getLeft(), left.getRight().getLeft());
  307.         final Node r = new Node(value, rh, left.getRight().getRight(), right);
  308.         return new Node(left.getRight().getValue(), nh, l, r);
  309.     }
  310.  
  311.     @Override
  312.     public void dump() {
  313.         dump_("");
  314.     }
  315.  
  316.     @Override
  317.     protected void dump_(final String s) {
  318.         right.dump_(s + "  ");
  319.         System.out.println(s + value);
  320.         left.dump_(s + "  ");
  321.     }
  322. }
  323.  
Success #stdin #stdout 0.07s 380160KB
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https://ideone.com/z72BlQ
language:
Java (12.0.1)
created:
10 years ago
visibility:
public

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