共计 2951 个字符,预计需要花费 8 分钟才能阅读完成。
起因
最近口试遇到好几道题目 大抵题意都是某点登程上、下、左、右行走给出不同的条件判断是否能走到起点,个别咱们都会想到 DFS/BFS 套用模板解决。
然而求走到起点的某个条件,往往会波及的条件的最值,这时候就须要将 BFS 中的队列 -> Queue 替换成优先级队列 PriorityQueue 主动将属性值排序
(上面题解均基于 BFS)
题目 1
题意: 给定一个地图 长 x 宽都是 n,还有一个陷入陷阱所需的等待时间 k。
- 有三种标记 0、1、# 别离代表 空地、墙、陷阱。每次能够抉择上下左右方向进行走,走空地没处罚,走陷阱须要期待 k 秒能够持续走,遇到墙则不能走;
- 从左上点登程,达到右下点,若能达到询问最短时间. 若不能到达右下点则输入 ”No solution”
- 通过 PriorityQueue 实现小顶堆 对 Node 实现按工夫升序,这样队列每次弹出的都是 time 最小的 Node
public class GoTrap {
static class Node implements Comparable {
int x;
int y;
int time;
public Node(int x, int y, int time) {
this.x = x;
this.y = y;
this.time = time;
}
public Node() {}
@Override
public int compareTo(Object o) {return this.time - ((Node) o).time;
}
}
static int n;
static int k;
static char[][] map;
static int[][] go = {{0, -1}, {1, 0}, {-1, 0}, {0, 1}};
public static void main(String[] args) {Scanner sc = new Scanner(System.in);
n = sc.nextint();
k = sc.nextint();
map = new char[n + 1][n + 1];
for (int i = 1; i <= n; i++) {String str = sc.next();
for (int j = 1; j <= n; j++) {map[i][j] = str.charAt(j - 1);
}
}
int val = bfs();
if (val == -1) {System.out.println("No solution");
} else {System.out.println(val);
}
}
private static int bfs() {Boolean[][] vis = new Boolean[n + 1][n + 1];
PriorityQueue<Node> queue = new PriorityQueue<>();
queue.offer(new Node(1, 1, 0));
while (!queue.isEmpty()) {Node node = queue.poll();
if (node.x == n && node.y == n) {return node.time;}
for (int i = 0; i < 4; i++) {int tx = node.x + go[i][0];
int ty = node.y + go[i][1];
if (check(new Node(tx, ty, 0)) && !vis[tx][ty]) {if (map[tx][ty] == '0') {queue.offer(new Node(tx, ty, node.time + 1));
vis[tx][ty] = true;
} else if (map[tx][ty] == '#') {queue.offer(new Node(tx, ty, node.time + k + 1));
vis[tx][ty] = true;
}
}
}
}
return -1;
}
private static Boolean check(Node node) {return node.x > 0 && node.x <= n && node.y > 0 && node.y <= n;}
}
题目 2
- 小昆虫在 N M 的迷宫中,每次能够朝上、下、左、右走一步,只有走出任一边界就算走出迷宫,“@”代表初始地位,“.”代表空地 可通行,“”代表可毁坏的障碍物
- 从初始地位登程 若能走出输入最小毁坏阻碍数,否则输入 -1
- 同理构建小顶堆,Node 按毁坏阻碍数 count 升序
public class mg {
static class Node implements Comparator<Node> {
int x;
int y;
int count;
public Node(int x, int y, int count) {
this.x = x;
this.y = y;
this.count = count;
}
public Node() {}
@Override
public int compare(Node o1, Node o2) {return o1.count - o2.count;}
}
static Scanner scanner = new Scanner(System.in);
static int n;
static int m;
static int[][] dir = {{0, -1}, {1, 0}, {-1, 0}, {0, 1}};
static int ex = -1;
static int ey = -1;
static char[][] map;
static int cnt;
public static void main(String[] args) {int total = scanner.nextint();
while (total-- > 0) {n = scanner.nextint();
m = scanner.nextint();
map = new char[n][m];
scanner.nextLine();
for (int i = 0; i < n; i++) {map[i] = scanner.nextLine().toCharArray();
for (int j = 0; j < m; j++) {if (map[i][j] == '@') {
ex = i;
ey = j;
}
}
}
int val = bfs(ex, ey);
System.out.println(val);
}
}
static int bfs(int x, int y) {Boolean[][] visit = new Boolean[n][m];
Queue<Node> queue = new PriorityQueue<>(new Node());
queue.add(new Node(x, y, 0));
Node next = new Node();
while (!queue.isEmpty()) {Node node = queue.poll();
visit[node.x][node.y] = true;
if (node.x + 1 > n - 1 || node.x - 1 < 0 || node.y + 1 > m - 1 || node.y - 1 < 0) {return node.count;}
for (int i = 0; i < 4; i++) {next.x = node.x + dir[i][0];
next.y = node.y + dir[i][1];
if (!visit[next.x][next.y]) {if (map[next.x][next.y]=='*') {queue.add(new Node(next.x,next.y,next.count+1));
} else if (map[next.x][next.y]=='.') {queue.add(new Node(next.x,next.y,next.count));
}
}
}
}
return -1;
}
}
正文完