Problem Description
There is a strange lift.The lift can stop can at every floor as you want, and there is a number Ki(0 <= Ki <= N) on every floor.The lift have just two buttons: up and down.When you at floor i,if you press the button "UP" , you will go up Ki floor,i.e,you will
go to the i+Ki th floor,as the same, if you press the button "DOWN" , you will go down Ki floor,i.e,you will go to the i-Ki th floor. Of course, the lift can't go up high than N,and can't go down lower than 1. For example, there is a buliding with 5 floors,
and k1 = 3, k2 = 3,k3 = 1,k4 = 2, k5 = 5.Begining from the 1 st floor,you can press the button "UP", and you'll go up to the 4 th floor,and if you press the button "DOWN", the lift can't do it, because it can't go down to the -2 th floor,as you know ,the -2
th floor isn't exist.
Here comes the problem: when you is on floor A,and you want to go to floor B,how many times at least he havt to press the button "UP" or "DOWN"? |
Input
The input consists of several test cases.,Each test case contains two lines.
The first line contains three integers N ,A,B( 1 <= N,A,B <= 200) which describe above,The second line consist N integers k1,k2,....kn. A single 0 indicate the end of the input. |
Output
For each case of the input output a interger, the least times you have to press the button when you on floor A,and you want to go to floor B.If you can't reach floor B,printf "-1".
|
Sample Input
5 1 5
3 3 1 2 5
0
|
Sample Output
3
|
Recommend
8600
|
#include<iostream>
#include<queue>
using namespace std;
int dir[2]={-1,1};
int k[201];
bool visit[201];
int count1[201];
int N,A,B;
void bfs(int s)
{
queue<int> myqueue;
myqueue.push(s);
visit[s]=true;
count1[s]=0;
while(!myqueue.empty())
{
int p=myqueue.front();
myqueue.pop();
if(p==B)
{
cout<<count1[p]<<endl;
return;
}
for(int i=0;i<2;i++)
if(p+dir[i]*k[p]<=N&&p+dir[i]*k[p]>=1&&!visit[p+dir[i]*k[p]])
{
count1[p+dir[i]*k[p]]=count1[p]+1;
visit[p+dir[i]*k[p]]=1;
myqueue.push(p+dir[i]*k[p]);
}
}
cout<<-1<<endl;
}
int main()
{
freopen("in.txt","r",stdin);
while(cin>>N)
{
if(N==0)
break;
cin>>A>>B;
for(int i=1;i<=N;i++)
{
cin>>k[i];
}
memset(visit,false,sizeof(visit));
memset(count1,0,sizeof(count1));
bfs(A);
}
return 0;
}