POJ 3278 Catch That Cow(bfs)
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 80273 | Accepted: 25290 |
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
Output
Sample Input
5 17
Sample Output
4
Hint
思路
题意:给定起点和终点,有三种走的方式,假设当前为 now,那么可以选择下一次到达 now - 1 或 now + 1 或 2*now,问起点到终点最少需要几步。
题解:bfs,下一个状态即为三种可选择的位置。
#include<iostream> #include<cstdio> #include<cstring> using namespace std; const int maxn = 100005; int step[maxn],que[maxn],vis[maxn]; int bfs(int st,int ed) { int E = 0,F = 0; que[F++] = st; vis[st] = 1; for (;;) { int now = que[E]; if (now == ed) return step[now]; if (now + 1 < maxn && !vis[now + 1]) step[now + 1] = step[now] + 1,vis[now + 1] = 1,que[F++] = now + 1; if (now - 1 >= 0 &&!vis[now - 1]) step[now - 1] = step[now] + 1,vis[now - 1] = 1,que[F++] = now - 1; if (2*now < maxn && !vis[2*now]) step[2*now] = step[now] + 1,vis[2*now] = 1,que[F++] = 2 * now; E++; } } int main() { int N,K; memset(vis,0,sizeof(vis)); scanf("%d%d",&N,&K); if (N >= K) printf("%d\n", N - K); else printf("%d\n",bfs(N,K)); return 0; }
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