poj 1920 Towers of Hanoi
Time Limit: 3000MS | Memory Limit: 16000K | |
Total Submissions: 2213 | Accepted: 986 | |
Case Time Limit: 1000MS |
Description
According to an old myth, the monks at an ancient Tibetian monastery have been trying to solve an especially large instance of this problem with 47 disks for thousands of years. Since this requires at least 247 - 1 moves and the monks started out without a strategy, they messed it all up while still following the rules. Now they would like to have the disks stacked up neatly on any arbitrary peg using the minimum number of moves. But they all took a vow which forbids them to move the disks contrary to the rules. They want to know on which peg they should best stack the disks, and the minimum number of moves needed.
Write a program that solves this problem for the monks. Your program should also be able to handle any number N (0 < N <= 100 000) of disks. The numbers involved in the computation can become quite large. Because of that, the monks are only interested in the number of moves modulo 1 000 000.
Example
The following example can be solved in four moves.
Input
The (i + 2)-th line of the input file consists of integer numbers mi,1 . . .mi,si with 1 <= mi,j <= N, the sizes of the disks on peg i. The disks are given from bottom to top, thus mi,1 > mi,2 > . . . > mi,si .
Note that an empty stack is given by an empty line. The set of N disks have different sizes. All numbers are separated by a single space.
Output
Sample Input
7
2 1 4
2 1
3
7 6 5 4
Sample Output
3
4
Source
第一行输出一个数字表示集中到哪个柱子上,第二行输出一个数字表示最小步数模1000000
附上代码:
#include <iostream>
#include <cstdio>
#include <cstring>
using namespace std;
int main()
{
int T,i,j,n,m;
int a[],b[],c[];
while(~scanf("%d",&T))
{
for(i=; i<=; i++)
scanf("%d",&a[i]);
for(i=; i<=; i++)
{
for(j=; j<=a[i]; j++)
{
scanf("%d",&n);
b[n]=i; //记录每个盘子所在的柱子位置
}
}
c[]=;
for(i=; i<T; i++)
c[i+]=(c[i]*)%;
int s1=b[T],s2=b[T-],s=; //s1为最大的盘子位置,s2为第二大的盘子位置
for(i=T-; i>; i--,s2=b[i])
{
if(s1!=s2) //假如盘子不在正确的位置上,将其移动
{
s=(s+c[i-])%;
s1=-s1-s2; //记录剩余盘子新的位置
}
}
printf("%d\n%d\n",b[T],s);
}
return ;
}
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