HANOI塔問題的遞歸解

字號(hào):

HANOI塔問題是《數(shù)據(jù)結(jié)構(gòu)》中用來介紹遞歸算法的最典型的例題。
    本程序可同時(shí)將HANOI塔問題的解題步驟的中間結(jié)果顯示在屏幕上和保存在文本文件中。(后一點(diǎn)對(duì)于顯示結(jié)果很多無法在一屏中顯示時(shí),特別有用)
    程序思路很簡(jiǎn)單,看注釋就明白了。
    /*
    Name: hanoi2.c
    Author: zhuqing
    Description: HANOI塔問題的遞歸解
    Date: 06-08-03 11:44
    Copyright:
    */
    #include
    #define N 5
    /* 原柱,中間柱,目標(biāo)柱初值數(shù)組 */
    char a[]={'1','2','3','4','5'};
    char b[]={'0','0','0','0','0'};
    char c[]={'0','0','0','0','0'};
    int step=0;
    main()
    {
    FILE *fp;
    int i;
    if((fp=fopen("c:\\hanoi2.txt","w"))==NULL){
    printf("\nCannot open the file!\n");
    getch();
    exit(0);
    }
    printf("\n============ HANOI TOWER ============\n");
    print(N);
    fprint(N,fp);
    move(N,a,b,c,fp);
    fclose(fp);
    getch();
    }
    /* 遞歸函數(shù) */
    void move(int n,char a[],char b[],char c[],FILE* fp)
    {
    if(n>0){
    move(n-1,a,c,b,fp);
    c[n-1]=a[n-1];
    a[n-1]='0';
    print(N);
    fprint(N,fp);
    move(n-1,b,a,c,fp);
    }
    }
    /* 打印輸出結(jié)果到屏幕的函數(shù) */
    void print(n)
    int n;
    {
    int i;
    printf("\nSTEP%d",step++);
    printf("\na:");
    for(i=0;i    printf("%3c",a[i]);
    printf("\nb:");
    for(i=0;i    printf("%3c",b[i]);
    printf("\nc:");
    for(i=0;i    printf("%3c",c[i]);
    printf("\n-------------------------------------\n");
    }
    /* 打印輸出結(jié)果到文本文件的函數(shù) */
    void fprint(n,fp)
    int n;
    FILE *fp;
    {
    int i;
    fputs("\na:",fp);
    for(i=0;i    fputc(a[i],fp);
    fputs("\nb:",fp);
    for(i=0;i    fputc(b[i],fp);
    fputs("\nc:",fp);
    for(i=0;i    fputc(c[i],fp);
    fputs("\n-------------------------------------\n",fp);
    }