Description
Farmer John has been informed of the location of a fugitive cow and wants to catch her immediately. He starts at a pointN (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 orX
+ 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 andKOutput
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
USACO 2007 Open Silver題目大意:農夫在n的位置,牛在k的位置,牛不動,若農夫任意時間在X,農夫可走到X+1,X-1,2*X三個位置,問農夫幾次可抓到牛
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.Queue;
import java.util.Scanner;
public class POJ3278_ieayoio {
public static boolean[] f;
public static void main(String[] args) {
Scanner cin = new Scanner(System.in);
while (cin.hasNext()) {
int n = cin.nextInt();
int k = cin.nextInt();
System.out.println(bfs(n, k));
}
}
static int bfs(int n, int k) {
// Queue queue = new LinkedList();
Queue queue = new ArrayDeque();
f = new boolean[100010];
Arrays.fill(f, true);//標記是否曾走過
Node node = new Node(n, 0);
f[n] = false;
queue.offer(node);//初始值直接入隊
while (!queue.isEmpty()) {
node = queue.poll();//出隊
if (node.location == k) {
return node.step;
}
Node el;
if (node.location < k && f[node.location + 1]) {
el = new Node(node.location + 1, node.step + 1);
f[node.location + 1] = false;
queue.offer(el);
}
if (node.location - 1 >= 0 && f[node.location - 1]) {
el = new Node(node.location - 1, node.step + 1);
f[node.location - 1] = false;
queue.offer(el);
}
//當node.location大於k是只能選擇後退
//node.location * 2 <= 100000是坐標軸的范圍,開始沒加就Runtime Error了
if (node.location < k && node.location * 2 <= 100000
&& f[node.location * 2]) {
el = new Node(node.location * 2, node.step + 1);
f[node.location * 2] = false;
queue.offer(el);
}
}
return node.step;
}
}
class Node {
int location;//位置
int step;//步數
Node(int location, int step) {
this.location = location;
this.step = step;
}
}