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package class14;
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// 这个文件课上没有讲
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// 原理和课上讲的完全一样
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// 最大的区别就是这个文件实现的并查集是用数组结构，而不是map结构
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// 请务必理解这个文件的实现，而且还提供了测试链接
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// 提交如下的code，并把"Code06_UnionFind"这个类名改成"Main"
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// 在测试链接里可以直接通过
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// 请同学们务必参考如下代码中关于输入、输出的处理
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// 这是输入输出处理效率很高的写法
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// 测试链接 : https://www.nowcoder.com/questionTerminal/e7ed657974934a30b2010046536a5372
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import java.io.BufferedReader;
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import java.io.IOException;
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import java.io.InputStreamReader;
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import java.io.OutputStreamWriter;
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import java.io.PrintWriter;
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import java.io.StreamTokenizer;
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public class Code06_UnionFind {
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public static int MAXN = 1000001;
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public static int[] father = new int[MAXN];
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public static int[] size = new int[MAXN];
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public static int[] help = new int[MAXN];
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// 初始化并查集
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public static void init(int n) {
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for (int i = 0; i <= n; i++) {
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father[i] = i;
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size[i] = 1;
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}
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}
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// 从i开始寻找集合代表点
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public static int find(int i) {
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int hi = 0;
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while (i != father[i]) {
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help[hi++] = i;
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i = father[i];
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}
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for (hi--; hi >= 0; hi--) {
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father[help[hi]] = i;
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}
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return i;
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}
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// 查询x和y是不是一个集合
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public static boolean isSameSet(int x, int y) {
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return find(x) == find(y);
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}
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// x所在的集合，和y所在的集合，合并成一个集合
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public static void union(int x, int y) {
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int fx = find(x);
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int fy = find(y);
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if (fx != fy) {
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if (size[fx] >= size[fy]) {
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size[fx] += size[fy];
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father[fy] = fx;
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} else {
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size[fy] += size[fx];
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father[fx] = fy;
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}
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}
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}
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public static void main(String[] args) throws IOException {
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BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
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StreamTokenizer in = new StreamTokenizer(br);
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PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
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while (in.nextToken() != StreamTokenizer.TT_EOF) {
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int n = (int) in.nval;
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init(n);
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in.nextToken();
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int m = (int) in.nval;
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for (int i = 0; i < m; i++) {
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in.nextToken();
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int op = (int) in.nval;
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in.nextToken();
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int x = (int) in.nval;
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in.nextToken();
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int y = (int) in.nval;
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if (op == 1) {
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out.println(isSameSet(x, y) ? "Yes" : "No");
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out.flush();
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} else {
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union(x, y);
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}
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}
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}
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}
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}
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