poj 1915 KnightMoves(bfs)
Time Limit: 1000MS | Memory Limit: 30000K | |
Total Submissions: 24094 | Accepted: 11364 |
Description
Mr Somurolov, fabulous chess-gamer indeed, asserts that no one else but him can move knights from one position to another so fast. Can you beat him?
The Problem
Your task is to write a program to calculate the minimum number of moves needed for a knight to reach one point from another, so that you have the chance to be faster than Somurolov.
For people not familiar with chess, the possible knight moves are shown in Figure 1.
Input
Next follow n scenarios. Each scenario consists of three lines containing integer numbers. The first line specifies the length l of a side of the chess board (4 <= l <= 300). The entire board has size l * l. The second and third line contain pair of integers {0, ..., l-1}*{0, ..., l-1} specifying the starting and ending position of the knight on the board. The integers are separated by a single blank. You can assume that the positions are valid positions on the chess board of that scenario.
Output
Sample Input
3
8
0 0
7 0
100
0 0
30 50
10
1 1
1 1
Sample Output
5
28
0
分析:简单BFS,分8个方向遍历。
Java AC 代码
import java.util.LinkedList;
import java.util.Queue;
import java.util.Scanner; public class Main { static int chessLength; static int dx[] = {-2, -2, -1, -1, 1, 1, 2, 2};
static int dy[] = {1, -1, 2, -2, 2, -2, 1, -1}; static Point original, goal; static Queue<Point> queue; static boolean marked[][]; static int steps[][]; public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int testNumber = sc.nextInt(); for(int i = 1; i <= testNumber; i++) {
chessLength = sc.nextInt();
original = new Point(sc.nextInt(), sc.nextInt());
goal = new Point(sc.nextInt(), sc.nextInt());
marked = new boolean[chessLength][chessLength];
steps = new int[chessLength][chessLength];
queue = new LinkedList<Point> ();
bfs();
System.out.println(steps[goal.row][goal.col]);
}
} public static void bfs() {
queue.add(original);
marked[original.row][original.col] = true;
steps[original.row][original.col] = 0; while(!queue.isEmpty()) {
Point head = queue.poll();
for(int i = 0; i < 8; i++) {
int _row = head.row + dy[i];
int _col = head.col + dx[i];
if(_row >= 0 && _row < chessLength && _col >= 0 && _col < chessLength && !marked[_row][_col]) {
queue.add(new Point(_row, _col));
marked[_row][_col] = true;
steps[_row][_col] = steps[head.row][head.col] + 1;
}
}
if(marked[goal.row][goal.col])
return;
}
}
} class Point {
int row;
int col;
public Point(int row, int col) {
this.row = row;
this.col = col;
}
}
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