Catch That Cow

Time Limit: 5000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 8616    Accepted Submission(s): 2714

Problem Description
Farmer John has been informed of the location of a fugitive cow and wants to catch her immediately. He starts at a point N (0 ≤ N ≤ 100,000) on a number line and the cow is at a point K (0 ≤ K ≤ 100,000) on the same number line. Farmer John has two modes of transportation: walking and teleporting.

* Walking: FJ can move from any point X to the points X - 1 or X + 1 in a single minute
* Teleporting: FJ can move from any point X to the point 2 × X in a single minute.

If the cow, unaware of its pursuit, does not move at all, how long does it take for Farmer John to retrieve it?

 
Input
Line 1: Two space-separated integers: N and K
 
Output
Line 1: The least amount of time, in minutes, it takes for Farmer John to catch the fugitive cow.
 
Sample Input
5 17
 
Sample Output
4

Hint

The fastest way for Farmer John to reach the fugitive cow is to move along the following path: 5-10-9-18-17, which takes 4 minutes.

 

经典BFS,常规思路。

注意:

题目所给5 17和17 5答案是不一样的。我曾天真地认为需要进行一步swap,实际上是不需要的。

遍历到某点应判断是否越界,否则也会ACCESS_VIOLATION。

数组也要开大一点,否则也会ACCESS_VIOLATION。

(PS:我忘记修改判断是否越界时界限的大小。)

 #include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
using namespace std;
int vis[];
int stp[];
int n, k; void swap(int& a, int& b)
{
a = a ^ b;
b = a ^ b;
a = a ^ b;
} /*
int move(int sgn, int cur)
{
if(sgn == 1)
{
return cur + 1;
}
if(sgn == -1)
{
return cur - 1;
}
else
{
return cur * 2;
}
}
*/ void BFS(int ini)
{
int cur, now = ; //init
queue<int> q;
vis[ini] = ;
stp[ini] = ;
q.push(ini);
while(!q.empty())
{
cur = q.front();
q.pop();
for(int i = ; i < ; i++)
{
if(i == )
{
now = cur + ;
}
else if(i == )
{
now = cur - ;
}
else
{
now = cur * ;
} if(!vis[now] && now >= && now <= )
{
vis[now] = ;
q.push(now);
stp[now] = stp[cur] + ;
}
if(now == k)
{
printf("%d\n", stp[now]);
return ;
}
}
}
}
int main()
{
while(scanf("%d %d", &n, &k) != EOF && n+k)
{
memset(vis, , sizeof(vis));
memset(stp, , sizeof(stp));
if (n == k)
{
printf("0\n");
}
else
{
BFS(n);
}
}
return ;
}

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