A strange lift
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 7965 Accepted Submission(s): 3002
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 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"?
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"?
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.
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
题目大意。有一个奇怪的电梯。每层楼会给出一个数字ki由题目给出。你只能上ki楼或下ki楼。当然不能超过楼层的限制。上天入地是不行滴。
问从A到B层最少按多少次按钮
#include <stdio.h>
#include<string.h>
int maps[250][250],dis[250],ok[250];//点下的单源最短路要的东西
int n;
int INF=100000000;
void dijk()
{
int i,t,p,mi;
t=n;
while(t--)
{
mi=INF;
for(i=1; i<=n; i++)
{
if(mi>dis[i]&&!ok[i])
{
mi=dis[i];
p=i;
}
}
ok[p]=1;
for(i=1; i<=n; i++)
{
if(!ok[i]&&maps[p][i]+dis[p]<dis[i])
dis[i]=maps[p][i]+dis[p];
}
}
}
int main()
{
int i,j,a,b,d,up,down;
while(scanf("%d",&n),n)
{
memset(ok,0,sizeof ok);
scanf("%d%d",&a,&b);
for(i=1; i<=n; i++)//必要的初始化
{
dis[i]=INF;
for(j=1; j<=n; j++)
{
if(i==j)
maps[i][j]=0;
maps[i][j]=INF;
}
}
for(i=1; i<=n; i++)
{
scanf("%d",&d);
up=i+d;//记录两层楼是否相通
down=i-d;
if(up<=n)
maps[i][up]=1;//相通的话按一下就行了
if(down>=1)
maps[i][down]=1;
}
dis[a]=0;
dijk();
if(dis[b]!=INF)
printf("%d\n",dis[b]);
else
printf("-1\n");
}
return 0;
}