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| 1 | +```java |
| 2 | + |
| 3 | +import java.io.*; |
| 4 | +import java.util.*; |
| 5 | +public class Main { |
| 6 | + private static final int EMPTY = 0; |
| 7 | + private static final int RED = 1; |
| 8 | + private static final int BLUE = -1; |
| 9 | + |
| 10 | + static int N, M; |
| 11 | + static int[][] arr; |
| 12 | + static int[] palette; |
| 13 | + static Queue<int[]> queue = new LinkedList<>(); |
| 14 | + |
| 15 | + public static void main(String[] args) throws IOException { |
| 16 | + BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 17 | + int T = Integer.parseInt(br.readLine()); |
| 18 | + |
| 19 | + for (int t = 0; t < T; t++) { |
| 20 | + StringTokenizer st = new StringTokenizer(br.readLine()); |
| 21 | + N = nextInt(st); |
| 22 | + M = nextInt(st); |
| 23 | + arr = new int[N+1][N+1]; |
| 24 | + palette = new int[N+1]; |
| 25 | + |
| 26 | + for (int i = 0; i < M; i++) { |
| 27 | + st = new StringTokenizer(br.readLine()); |
| 28 | + int x = nextInt(st); |
| 29 | + int y = nextInt(st); |
| 30 | + |
| 31 | + arr[x][y] = 1; |
| 32 | + arr[y][x] = 1; |
| 33 | + } |
| 34 | + boolean isImpossible = false; |
| 35 | + for (int i = 1; i < N+1; i++) { |
| 36 | + if (palette[i] == EMPTY) { |
| 37 | + if (!bfs(i)) { |
| 38 | + System.out.println("impossible"); |
| 39 | + isImpossible = true; |
| 40 | + break; |
| 41 | + } |
| 42 | + } |
| 43 | + } |
| 44 | + if (!isImpossible) { |
| 45 | + System.out.println("possible"); |
| 46 | + } |
| 47 | + } |
| 48 | + } |
| 49 | + |
| 50 | + private static boolean bfs(int i) { |
| 51 | + palette[i] = RED; |
| 52 | + queue.add(new int[]{i, RED}); |
| 53 | + while (!queue.isEmpty()) { |
| 54 | + int[] target = queue.poll(); |
| 55 | + |
| 56 | + for (int j = 1; j < N+1; j++) { |
| 57 | + if(arr[target[0]][j] == 1) { |
| 58 | + if (palette[j] == target[1]) { |
| 59 | + queue.clear(); |
| 60 | + return false; |
| 61 | + } |
| 62 | + if (palette[j] == EMPTY) { |
| 63 | + palette[j] = -target[1]; |
| 64 | + queue.add(new int[]{j, -target[1]}); |
| 65 | + } |
| 66 | + } |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | + return true; |
| 71 | + } |
| 72 | + |
| 73 | + private static int nextInt(StringTokenizer st) { |
| 74 | + return Integer.parseInt(st.nextToken()); |
| 75 | + } |
| 76 | +} |
| 77 | +``` |
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