Catch That Cow
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 27816 | Accepted: 8556 |
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.
Source
解题报告:
这道题其实挺简单的,但是好久没有写搜索题了,很不细心, ,哎!这道题的题意:就是在一条数轴上,求起始点到终点的最小步数,很显然得用BFS借助于队列;
#include#include #include using namespace std; const int N = 1000010; int visit[2 *N], queue[2 * N], step[2 * N], ans;//queue起到队列的作用 void BFS(int begin, int end) { int rear, front, a, b[3], i; rear = 0;//队列的尾 front = 0;//队列的头 rear ++; queue[rear] = begin;//初始化 while (front < rear) { front ++; a = queue[front]; if (a == end)//找到 { ans = step[a]; return ; } else { b[0] = a + 1; b[1] = a - 1; b[2] = 2 * a; for (i = 0; i <=2; ++i) { if (b[i] >= 0 && b[i] <= 1000000 && !visit[b[i]])//当时写的时候1000000写成了100000少写了一个零,Runtime Error好几次!! { visit[b[i]] = 1;//标记 rear ++; queue[rear] = b[i];//插到队尾 step[b[i]] = step[a] + 1;//步数加1 } } } } } int main() { int begin, end; while (scanf("%d%d", &begin, &end) != EOF) { memset(visit, 0, sizeof(visit)); memset(queue, 0, sizeof(queue)); memset(step, 0, sizeof(step)); visit[begin] = 1; BFS(begin, end); printf("%d\n", ans); } return 0; }
代码如下: