漢諾塔絕對是一個經(jīng)典的算法題目,雖然當年也講過,程序也不長,但是一直以來總覺得理解的不清楚,看程序也能明白什么意思,過一段時間程序忘了,想不起來的時候,就怎么都想不明白了,雖然說好像是那么回事,就是高不明白。借著前兩天做八皇后的東風,順便來理一下這個漢諾塔。園盤從上到下編號1, 2, ..., n,桿子從左至右A,B,C,A是from,C是to。我還是看了以前的java程序然后自己理解一下寫的C程序,幾乎沒有差別,當然寫的時候也忘了不少,第一遍出來錯誤的答案。程序如下:
#include
#define INIT_NUM 3
int count;
void hanoi(int n, char from, char to, char middle)
{
if (n > 0)
{
count++;
hanoi(n-1, from, middle, to);
printf("Move No.%-2d from %c to %c\n", n, from, to);
hanoi(n-1, middle, to, from);
}
}
int main(int argc, char *argv[])
{
int init = INIT_NUM;
if (argc==2)
init = atoi(argv[1]);
printf("A 是起始桿,C 是輔助桿,B 是目的桿。\n\n");
hanoi(init, 'A', 'C' , 'B');
printf("\nCount = %d", count);
return 0;
}
借著這股東風,我再順便寫一下排序的算法實現(xiàn),我只記得冒泡跟快速排序了,現(xiàn)在先寫一個冒泡排序吧:
#include
void show (int *p)
{
int i=0;
for (i=0 ;i<8 ;i++ )
{
printf("%3d ", p[i]);
}
printf("\n");
}
int main(int argc, char *argv[])
{
int p[] = {8, 9, 4, 5, 1, 7, 6, 0};
int i = 0;
int j = 0;
int tmp = 0;
for (i=0 ;i<8 ;i++ )
{
for (j=0 ;j<7-i ;j++ )
{
if (p[j] > p[j+1])
{
tmp = p[j];
p[j] = p[j+1];
p[j+1] = tmp;
}
}
printf("第%2d輪排序結(jié)束:", i+1);
show(p);
}
return 0;
}
#include
#define INIT_NUM 3
int count;
void hanoi(int n, char from, char to, char middle)
{
if (n > 0)
{
count++;
hanoi(n-1, from, middle, to);
printf("Move No.%-2d from %c to %c\n", n, from, to);
hanoi(n-1, middle, to, from);
}
}
int main(int argc, char *argv[])
{
int init = INIT_NUM;
if (argc==2)
init = atoi(argv[1]);
printf("A 是起始桿,C 是輔助桿,B 是目的桿。\n\n");
hanoi(init, 'A', 'C' , 'B');
printf("\nCount = %d", count);
return 0;
}
借著這股東風,我再順便寫一下排序的算法實現(xiàn),我只記得冒泡跟快速排序了,現(xiàn)在先寫一個冒泡排序吧:
#include
void show (int *p)
{
int i=0;
for (i=0 ;i<8 ;i++ )
{
printf("%3d ", p[i]);
}
printf("\n");
}
int main(int argc, char *argv[])
{
int p[] = {8, 9, 4, 5, 1, 7, 6, 0};
int i = 0;
int j = 0;
int tmp = 0;
for (i=0 ;i<8 ;i++ )
{
for (j=0 ;j<7-i ;j++ )
{
if (p[j] > p[j+1])
{
tmp = p[j];
p[j] = p[j+1];
p[j+1] = tmp;
}
}
printf("第%2d輪排序結(jié)束:", i+1);
show(p);
}
return 0;
}