import java.util.*;


public class Tree24
{
    /* =================================================
       Variables
       ================================================= */
    public Node root;
    public Node searchEndPos;

    /* =================================================
       Constructor
       ================================================= */
    public Tree24()
    {
       root = null;
    }


    /* =================================================
       keySearch(k, p):

	  if (k == p.e[i].key) then
	     return( entry p.e[i] )
	  else
	     return ( keySearch(k, proper subtree );
       ================================================= */
    Entry keySearch(String k, Node p)
    {
       searchEndPos = p;

       int i;

       for (i = 0; i < 3; i++)
       {
          if ( p.e[i] != null && k.compareTo( p.e[i].key ) < 0 )
          {
	     if ( p.child[i] != null )
	     {
//              System.out.println("Search subtree "+i+" of node " + p);
	        return( keySearch(k, p.child[i]) );    
	     }
          }

          if ( p.e[i] != null && k.compareTo( p.e[i].key ) == 0 )
          {
	     return( p.e[i] );    
          }

          if ( i == 2 || p.e[i+1] == null )
          {
	     if ( p.child[i] != null )
	     {
//              System.out.println("Search subtree "+i+" of node " + p);
	        return( keySearch(k, p.child[i+1]) );    
	     }
          }
       }

       return(null);   // To make Java happy...
    }


    /* ================================================
       get(k): return value associated with key k
       ================================================ */
    Integer get(String k)
    {
       Entry e;

       e = keySearch(k, root);

       if ( e == null )
	  return(null);
       else
	  return(e.value);
    }


    /* ================================================
       put(k): insert (k,v)
       ================================================ */
    Integer put(String k, Integer v)
    {
       Node  p;
       Entry e;


       /* ------------------------
	  Special case: empty tree
          ------------------------ */
       if ( root == null )
       {
          p = new Node();

	  p.e[0] = new Entry();

          p.e[0].key = k;
          p.e[0].value = v;

 	  root = p;
	  p.parent = p;          // Parent(root) == root

          return(null);
       }

       /* ------------------------
	  Other cases
          ------------------------ */
       e = keySearch(k, root);
		// keySearch sets "searchEndPos = last node visited

//     System.out.println("Last node visited = "+searchEndPos);

       /* ------------------------
	  key found, update value
          ------------------------ */
       if ( e != null && k.compareTo(e.key) == 0 )
       {
          Integer oldValue;

          System.out.print("*** Update value of " + k 
				+ " in node " + searchEndPos);

	  oldValue = e.value;
	  e.value = v;

	  return(oldValue);
       }

       /* ------------------------------------------
	  key not found:

              insert (k,v) in node "searchEndPos"
          ------------------------------------------ */
       e = new Entry(k,v);
       insertEntryInThisNode(e, null, searchEndPos);

       return(null);
    }


    /* =======================================================
       insertEntryInThisNode(e, rightSubTree, p):

          1. insert "e" and its "rightSubTree" in node p
	  2. if over flow, split and insert in parent
       ======================================================= */
    public void insertEntryInThisNode(Entry e, Node rightSubTree, Node p)
    {
       int i;
       Node q;

       if ( p.e[2] == null )
       {
          /* -----------------
             There is space
             ----------------- */
          insertEntryDirectlyInNode(e, rightSubTree, p);
       }
       else
       {
          /* --------------------------------
             There is no more space ....
             -------------------------------- */
          System.out.print("*** Split insert !");


          /* ==================================
	     Make a virtual node with 4 keys
	     ================================== */
          Entry[]  x_e     = new Entry[4];
          Node[]   x_child = new Node[5];

          x_child[0] = p.child[0];

	  i = 0;
	  while ( i < 3 && p.e[i].key.compareTo(e.key) < 0 )
	  {
	     x_e[i] = p.e[i];
	     x_child[i+1] = p.child[i+1];

	     i++;
          }

          /* ----------------------
	     Insert e at x_e[i]
	     ---------------------- */
	  x_e[i] = e;
	  x_child[i+1] = rightSubTree;

	  while ( i < 3 )
	  {
	     x_e[i+1] = p.e[i];
	     x_child[i+2] = p.child[i+1];

	     i++;
          }

          System.out.print(" ---- Transitional node = ");
          for (i=0; i<4; i++)
          {
             if ( i != 2 )
                System.out.print( x_e[i].key + " ");
             else
                System.out.print( "(" + x_e[i].key + ") ");
          }
          System.out.println();

	  /* ==================
	     Distribute keys
	     ================== */

	  p.child[0] = x_child[0];
	  p.e[0]     = x_e[0];
	  p.child[1] = x_child[1];
	  p.e[1]     = x_e[1];
	  p.child[2] = x_child[2];
	  p.e[2]     = null;
	  p.child[3] = null;

	  q = new Node();

	  q.child[0] = x_child[3];
	  q.e[0]     = x_e[3];
	  q.child[1] = x_child[4];

          if ( p == root )
	  {
             /* Split root */
	     Node newRoot = new Node();

	     newRoot.child[0] = p;
	     newRoot.e[0] = x_e[2];
	     newRoot.child[1] = q;

	     p.parent = newRoot;
	     q.parent = newRoot;

	     root = newRoot;
	  }
	  else
	  {
             System.out.println("****** Recurse !");

	     q.parent = p.parent;
	     insertEntryInThisNode(x_e[2], q, p.parent);
	  }
       }
    }


    /* =======================================================
       insertEntryDirectlyInNode(e, rightChild, p):

          Node p:                   e[2] == null for sure

             c[0]  c[1]  c[2]  c[3]
             |  |  |  |  |  |  |  |
                e[0]  e[1]  e[2]

        Let i = the proper entry

        Set: 
		e[i] = e

        (Copy the child pointers also)
        ======================================================= */
	    
    public void insertEntryDirectlyInNode(Entry e, Node rightChild, Node p)
    {
       int i;

       System.out.println("Insert " + e.key + " in node " + p);

       /* ------------------------------------
          Node p:

             c[0]  c[1]  c[2]  c[3]
             |  |  |  |  |  |  |  |
                e[0]  e[1]  e[2]

          e[2] == null for sure
          ------------------------------------ */
       
       if ( p.e[1] == null || p.e[1].key.compareTo(e.key) > 0 )
       {
//        System.out.println("Copy e[2] -> e[1]");

	  p.e[2] = p.e[1];
	  p.child[3] = p.child[2];
       }
       else
       {
//        System.out.println("Insert " + e.key + " in entry 2 of" + p);

          p.e[2] = e;
	  p.child[3] = rightChild;
	  return;
       }

       if ( p.e[0] == null || p.e[0].key.compareTo(e.key) > 0 )
       {
//        System.out.println("Copy e[1] -> e[0]");

	  p.e[1] = p.e[0];
	  p.child[2] = p.child[1];
       }
       else
       {
//        System.out.println("Insert " + e.key + " in entry 1 of" + p);

          p.e[1] = e;
	  p.child[2] = rightChild;
	  return;
       }

//     System.out.println("Insert " + e.key + " in entry 0 of" + p);
       p.e[0] = e;
       p.child[1] = rightChild;

       if ( rightChild != null )
       {
	  rightChild.parent = p;
       }
    }


    /* =================================================
       printTree()
       ================================================= */

    void padding ( String s, int n )
    {
       int i;
 
       for ( i = 0; i < n; i++ )
          System.out.print( s );
    }


    void printSub (Node p, int id, int level ) 
    {
       int i;

       if ( p == null)
          return;

 
       if ( p.child[3] != null )
       {
          printSub ( p.child[3], 3, level + 1 );
       }

       if ( p.child[2] != null )
       {
          printSub ( p.child[2], 2, level + 1 );
       }

       if ( p.child[2] != null )
       {
          padding( "             ", level );
          System.out.println("" + id + ":" + p);
 
          if ( p.child[1] != null )
          {
             printSub ( p.child[1], 1, level + 1 );
          }
       }
       else
       {
          if ( p.child[1] != null )
          {
             printSub ( p.child[1], 1, level + 1 );
          }

          padding( "             ", level );
          System.out.println("" + id + ":" + p);
       }

       if ( p.child[0] != null )
       {
          printSub ( p.child[0], 0, level + 1 );
//        System.out.println();
       }
    }

    public void printTree()
    {
       printSub( root, 0, 0);
    }
 
}