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78 changes: 78 additions & 0 deletions zinnnn37/202510/26 BOJ G4 Tree.md
Original file line number Diff line number Diff line change
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```java
import java.io.*;
import java.util.StringTokenizer;

public class BJ_13244_Tree {

private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private static final BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
private static final StringBuilder sb = new StringBuilder();
private static StringTokenizer st;

private static int T, N, M;
private static int[] parents;

public static void main(String[] args) throws IOException {
T = Integer.parseInt(br.readLine());

while (T-- > 0) {
init();
sol();
}
bw.write(sb.toString());
bw.flush();
bw.close();
br.close();
}

private static void init() throws IOException {
N = Integer.parseInt(br.readLine());
M = Integer.parseInt(br.readLine());

parents = new int[N + 1];
for (int i = 1; i < N + 1; i++) {
parents[i] = i;
}
}

private static void sol() throws IOException {
boolean isTree = true;
for (int i = 0; i < M; i++) {
st = new StringTokenizer(br.readLine());

int a = Integer.parseInt(st.nextToken());
int b = Integer.parseInt(st.nextToken());

if (!union(a, b)) {
isTree = false;
}
}

if (M != N - 1) {
isTree = false;
}
sb.append(isTree ? "tree\n" : "graph\n");
}

private static int find(int a) {
if (parents[a] == a) return a;

return parents[a] = find(parents[a]);
}

private static boolean union(int a, int b) {
int rootA = find(a);
int rootB = find(b);

if (rootA == rootB) return false;

if (rootA < rootB) {
parents[rootB] = rootA;
} else {
parents[rootA] = rootB;
}
return true;
}

}
```