hdu1548 A strange lift（bfs）

最新推荐文章于 2019-03-08 20:14:40 发布

Renl1000

最新推荐文章于 2019-03-08 20:14:40 发布

阅读量346

点赞数

CC 4.0 BY-SA版权

分类专栏： bfs

本文链接：https://blog.youkuaiyun.com/Renl1000/article/details/53237479

bfs 专栏收录该内容

2 篇文章

订阅专栏

本文介绍了一种使用广度优先搜索(BFS)解决特殊电梯问题的方法，旨在找到从起点到终点所需的最少按钮按压次数。电梯在每层楼有不同的上行和下行楼层数，通过BFS算法有效地寻找解决方案。

摘要生成于 C知道，由 DeepSeek-R1 满血版支持，前往体验 >

A strange lift

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 22088 Accepted Submission(s): 8070

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"?

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

题意：有1~n层楼，每层可以上或者下一定的距离，问从a楼到b楼最少需要上下几次电梯。

题解：简单的bfs找最小的次数，bfs搜索的层数就是最小的次数，搜索不到就说明不能到那一层，输出-1。搜索完一层标记一下就行了。

代码：

#include <cstdio>
#include <iostream>
#include <queue>
#include <cstring>
using namespace std;

int f[1000];
int flag[1000];
int step[1000];
int n;

void bfs(int a, int b)
{
	queue<int > q;
	q.push(a);
	flag[a] = 1;
	int t, next;
	while(!q.empty())
	{
		t = q.front();
		q.pop();
		if(t == b)
			break;
		next = t + f[t];
		if(next > 0 && next <= n && flag[next] == 0)
		{
			q.push(next);
			flag[next] = 1;
			step[next] = step[t] + 1; 
		}
		next = t - f[t];
		if(next > 0 && next <= n && flag[next] == 0)
		{
			q.push(next);
			flag[next] = 1;
			step[next] = step[t] + 1; 
		}
	}
}

int main()
{
	int a, b;
	while(cin >> n && n != 0)
	{
		cin >> a >> b;
		for(int i = 1; i <= n; i++)
		{
			cin >> f[i];
		}
		memset(flag,0,sizeof(flag));
		memset(step, 0, sizeof(step));
		bfs(a, b);
		if(flag[b])
			cout << step[b] << endl;
		else
			cout << "-1" << endl;
	}
	
	return 0;
}