POJ 2418 Hardwood Species( AVL-Tree )


#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>


typedef struct AVLTree{

    char name[31];
    int nCount;
    int nHeight;

    struct AVLTree* pLeft;
    struct AVLTree* pRight;

}AVLTree;


int Max( int a, int b );
int Height( AVLTree* pNode );
AVLTree* Insert( char* s, AVLTree* pNode );
AVLTree* LLRotate( AVLTree* pNode );
AVLTree* RRRotate( AVLTree* pNode );
AVLTree* LRRotate( AVLTree* pNode );
AVLTree* RLRotate( AVLTree* pNode );
void PrintTree( AVLTree* pNode );

int n = 0;


int main(){

    char s[31];
    AVLTree* pRoot = NULL;

    while( gets( s ) != NULL ){

        pRoot = Insert( s, pRoot );
        n++;

    }

    PrintTree( pRoot );

    return 0;
}


int Max( int a, int b ){
    return ( a > b ) ? a : b;
}


int Height( AVLTree* pNode ){

    if( pNode == NULL )
        return -1;

    return pNode->nHeight;
}


AVLTree* Insert( char* s, AVLTree* pNode ){

    if( pNode == NULL ){
        pNode          = ( AVLTree* ) malloc( sizeof( AVLTree ) );
        strcpy( pNode->name, s );
        pNode->nCount  = 1;
        pNode->nHeight = 0;
        pNode->pLeft   = NULL;
        pNode->pRight  = NULL;
    }
    else if( strcmp( s, pNode->name ) == 0 ){
        pNode->nCount++;
    }
    else if( strcmp( s, pNode->name ) < 0 ){

        pNode->pLeft = Insert( s, pNode->pLeft );

        if( Height( pNode->pLeft ) - Height( pNode->pRight ) == 2 ){
            if( strcmp( s, pNode->pLeft->name ) < 0 ){
                pNode = LLRotate( pNode );
            }
            else{
                pNode = LRRotate( pNode );
            }
        }
    }
    else if( strcmp( s, pNode->name ) > 0 ){

        pNode->pRight = Insert( s, pNode->pRight );

        if( Height( pNode->pRight ) - Height( pNode->pLeft ) == 2 ){
            if( strcmp( s, pNode->pRight->name ) > 0 ){
                pNode = RRRotate( pNode );
            }
            else{
                pNode = RLRotate( pNode );
            }
        }

    }

    pNode->nHeight = Max( Height( pNode->pLeft ), Height( pNode->pRight ) ) + 1;

    return pNode;
}


AVLTree* LLRotate( AVLTree* pNode ){

    AVLTree* pNodeLeft = pNode->pLeft;
    pNode->pLeft       = pNodeLeft->pRight;
    pNodeLeft->pRight  = pNode;
    pNode->nHeight     = Max( Height( pNode->pLeft ),     Height( pNode->pRight ) ) + 1;
    pNodeLeft->nHeight = Max( Height( pNodeLeft->pLeft ), pNode->nHeight ) + 1;

    return pNodeLeft;

}


AVLTree* RRRotate( AVLTree* pNode ){

    AVLTree* pNodeRight = pNode->pRight;
    pNode->pRight       = pNodeRight->pLeft;
    pNodeRight->pLeft   = pNode;
    pNode->nHeight      = Max( Height( pNode->pLeft ),       Height( pNode->pRight ) ) + 1;
    pNodeRight->nHeight = Max( Height( pNodeRight->pRight ), pNode->nHeight ) + 1;

    return pNodeRight;

}


AVLTree* LRRotate( AVLTree* pNode ){

    pNode->pLeft = RRRotate( pNode->pLeft );

    return LLRotate( pNode );
}


AVLTree* RLRotate( AVLTree* pNode ){

    pNode->pRight = LLRotate( pNode->pRight );

    return RRRotate( pNode );
}


void PrintTree( AVLTree* pRoot ){

    if( pRoot == NULL )
        return;

    PrintTree( pRoot->pLeft );
    printf( "%s %.4f\n", pRoot->name, ( ( double )( pRoot->nCount ) / ( double )n ) * 100 );
    PrintTree( pRoot->pRight );

}


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