#include <stdio.h>
#include <stdlib.h>
#include <iostream>
using namespace std;
const int maxvalue=100;
const int maxbit=100;
const int maxn=100;
struct haffnode
{
char ch; //节点值
int weight; //权重
int flag; //确定当前点有没有放入二叉树而使用的标记;
int parent; //双亲结点;
int leftchild; //左孩子
int rightchild; //右孩子
};
struct code
{
int bit[maxn];
int start;
int weight;
char ch; //存放结点值的霍夫曼编码
};
void haffman(int weight[],char text[],int n,haffnode hafftree[]) //hafftree属于还在建立的霍夫曼树;
{
int j,m1,m2,x1,x2,i;
for(i=0;i< 2*n-1;i++) //对霍夫曼树进行传值,初始化;
{
if(i < n) //只有n个结点;
{
hafftree[i].weight=weight[i]; //weight[],text[]在main函数中有定义;
hafftree[i].ch=text[i];
}
else
{
hafftree[i].weight=0;//没有定义的结点赋值为0;
hafftree[i].ch='#'; //没有对应的字符就置为'#'
}
hafftree[i].parent=0;
hafftree[i].flag=0;
hafftree[i].leftchild=-1;
hafftree[i].rightchild=-1;
}
for(i=0;i<n-1;i++)
{
m1=m2=maxvalue;
x1=x2=0; //x1,x2相当于左右结点;
for(j=0;j<n+i;j++)
{
if(hafftree[j].weight< m1 && hafftree[j].flag==0)//用flag来判断当前节点有没有放进霍夫曼树;
{
m2=m1;
x2=x1;
m1=hafftree[j].weight; //先找最小值;
x1=j;
}
else if(hafftree[j].weight< m2 && hafftree[j].flag==0)//作用同上;
{
m2=hafftree[j].weight;
x2=j;
}
}
hafftree[x1].parent=n+i; //最顶层结点,2n-1;
hafftree[x2].parent=n+i; //左右子树的父节点相同;
hafftree[x1].flag=1;
hafftree[x2].flag=1;
hafftree[n+i].weight=hafftree[x1].weight+hafftree[x2].weight;//最顶点的权重;
hafftree[n+i].leftchild=x1;
hafftree[n+i].rightchild=x2;
}
}
void haffmancode(haffnode hafftree[],int n,code haffcode[])
{
code cd;
int i,j;
int child,parent;
for(i=0;i<n;i++)
{
cd.start=n-1;
cd.weight=hafftree[i].weight;
cd.ch=hafftree[i].ch;
child=i;
parent=hafftree[child].parent;
while(parent!=0)
{
if(hafftree[parent].leftchild==child)
cd.bit[cd.start]=0;
else
cd.bit[cd.start]=1;
cd.start--;
child=parent;
parent=hafftree[child].parent;
}
for(j=cd.start+1;j< n;j++)
haffcode[i].bit[j]=cd.bit[j];
haffcode[i].start=cd.start;
haffcode[i].weight=cd.weight;
haffcode[i].ch=cd.ch;
}
}
void ccode(haffnode hafftree[],int n)
{
char a[1005];
cin>>a;
int i,j=0;
int m=2*n-2;
while(a[j]!='\0')
{
i=m;
while(hafftree[i].leftchild!=-1 && hafftree[i].rightchild!=-1)
{
if(a[j]=='0')
{
i=hafftree[i].leftchild;
}
else if(a[j]=='1')
{
i=hafftree[i].rightchild;
}
j++;
}
cout<<hafftree[i].ch;
}
}
int main( )
{
int n=8;
int weight[]={5,29,7,8,14,23,3,11};
char text[]={'a','b','c','d','e','f','g','h'};
haffnode myhafftree[maxvalue];
code myhaffcode[maxvalue];
haffman(weight,text,n,myhafftree);
haffmancode(myhafftree,n,myhaffcode);
ccode(myhafftree,n);
return 0;
}