A strange lift
2016-05-30 20:51
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[align=left]Problem Description[/align]
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 are on floor A,and you want to go to floor B,how many times at least he has to press the button "UP" or "DOWN"?
[align=left]Input[/align]
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.
[align=left]Output[/align]
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".
[align=left]Sample Input[/align]
5 1 5
3 3 1 2 5
0
[align=left]Sample Output[/align]
3
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 are on floor A,and you want to go to floor B,how many times at least he has to press the button "UP" or "DOWN"?
[align=left]Input[/align]
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.
[align=left]Output[/align]
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".
[align=left]Sample Input[/align]
5 1 5
3 3 1 2 5
0
[align=left]Sample Output[/align]
3
AC代码:
#include<iostream> #include<cstring> #include<queue> using namespace std; int T,N,A,B; int mp[220],f[220]; void BFS(){ queue<int>q; q.push(A); f[A]=1; int t; while(!q.empty()){ t=q.front(); q.pop(); if(t==B)break; int next=t+mp[t]; if(next>=1&&next<=B&&f[next]==0){ q.push(next); f[next]=f[t]+1; } next=t-mp[t]; if(next>=0&&next<=B&&f[next]==0){ q.push(next); f[next]=f[t]+1; } } if(t!=B) f[B]=0; } int main() { int i,j; while(cin>>N){ if(N==0)break; cin>>A>>B; for(i=1;i<=N;i++) cin>>mp[i]; memset(f,0,sizeof(f)); BFS(); cout<<f[B]-1<<endl; } return 0; }
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