AcWing 240. 食物链(Weighted disjoint set union) Described by Java
A difficult problem is about weighted disjoint set union, to maintain another array distance[] to describe the distance from x to p[x]. And the problem.
Like a tree , the distance from the leaves to root represents the category(0, 1, 2) and the upper can be surplus 3. So the situations: if handle is 1: to check if two number is in one category, if not, res++ if handle is 2: to check the category . Both need to be updated, complexity. We can browse the code:
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; public class Main { static BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); static PrintWriter pw = new PrintWriter(System.out); static final int N = 50010; static int p[] = new int[N], d[] = new int[N], n, k; public static int find(int x) { if (p[x] != x) { int t = find(p[x]); d[x] += d[p[x]]; p[x] = t; } return p[x]; } public static void main(String[] rags) throws IOException { String[] s = br.readLine().split(" "); n = Integer.parseInt(s[0]); k = Integer.parseInt(s[1]); for (int i = 1; i <= n; i++) p[i] = i; int res = 0; while (k-- > 0) { String ss[] = br.readLine().split(" "); int t = Integer.parseInt(ss[0]); int x = Integer.parseInt(ss[1]); int y = Integer.parseInt(ss[2]); if (x > n || y > n) res++; else { int px = find(x), py = find(y); if (t == 1) { if (px == py && (d[x] - d[y]) % 3 != 0) res++; else { if (px != py) { p[px] = py; d[px] = d[y] - d[x]; } } } else { if (px == py && (d[x] - 1 - d[y]) % 3 != 0) res++; else { if (px != py) { p[px] = py; d[px] = d[y] + 1 - d[x]; } } } } } pw.println(res); pw.flush(); br.close(); } }
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