汉诺塔是一个源于印度古老传说的益智玩具。据说大梵天创造世界的时候做了三根金刚石柱子,在一根柱子上从下往上按照大小顺序摞着64片黄金圆盘,大梵天命令僧侣把圆盘移到另一根柱子上,并且规定:在小圆盘上不能放大圆盘,每次只能移动一个圆盘。当所有圆盘都移到另一根柱子上时,世界就会毁灭。
请编写程序,输入汉诺塔圆片的数量,输出移动汉诺塔的步骤。假定圆盘从小到大编号为1, 2, ...
#include <iostream>
using namespace std;
void hanoi(int n, char from, char to, char aux)
{
if (n == 1)
{
cout << "1: " << from << " -> " << to << endl;
return;
}
hanoi(n - 1, from, aux, to);
cout << n << ": " << from << " -> " << to << endl;
hanoi(n - 1, aux, to, from);
}
int main()
{
int n;
cin>>n;
char a,b,c;
cin>>a>>b>>c;
hanoi(n, a, c, b);
return 0;
}
using namespace std;
void hanoi(int n, char from, char to, char aux)
{
if (n == 1)
{
cout << "1: " << from << " -> " << to << endl;
return;
}
hanoi(n - 1, from, aux, to);
cout << n << ": " << from << " -> " << to << endl;
hanoi(n - 1, aux, to, from);
}
int main()
{
int n;
cin>>n;
char a,b,c;
cin>>a>>b>>c;
hanoi(n, a, c, b);
return 0;
}