From d01fd41ad2b3ee7ee8ac205bfdab277a201951b1 Mon Sep 17 00:00:00 2001
From: oncsr <khj20006@naver.com>
Date: Tue, 9 Sep 2025 11:23:57 +0900
Subject: [PATCH] =?UTF-8?q?[20250909]=20BOJ=20/=20P2=20/=20Double=20Up=202?=
 =?UTF-8?q?=20/=20=EA=B6=8C=ED=98=81=EC=A4=80?=
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---
 khj20006/202509/09 BOJ P2 Double Up 2.md | 174 +++++++++++++++++++++++
 1 file changed, 174 insertions(+)
 create mode 100644 khj20006/202509/09 BOJ P2 Double Up 2.md

diff --git a/khj20006/202509/09 BOJ P2 Double Up 2.md b/khj20006/202509/09 BOJ P2 Double Up 2.md
new file mode 100644
index 00000000..8d959ddf
--- /dev/null
+++ b/khj20006/202509/09 BOJ P2 Double Up 2.md	
@@ -0,0 +1,174 @@
+```java
+import java.io.*;
+import java.util.*;
+
+class IOController {
+	BufferedReader br;
+	BufferedWriter bw;
+	StringTokenizer st;
+
+	public IOController() {
+		br = new BufferedReader(new InputStreamReader(System.in));
+		bw = new BufferedWriter(new OutputStreamWriter(System.out));
+		st = new StringTokenizer("");
+	}
+
+	String nextLine() throws Exception {
+		String line = br.readLine();
+		st = new StringTokenizer(line);
+		return line;
+	}
+
+	String nextToken() throws Exception {
+		while (!st.hasMoreTokens())
+			nextLine();
+		return st.nextToken();
+	}
+
+	int nextInt() throws Exception {
+		return Integer.parseInt(nextToken());
+	}
+
+	long nextLong() throws Exception {
+		return Long.parseLong(nextToken());
+	}
+
+	double nextDouble() throws Exception {
+		return Double.parseDouble(nextToken());
+	}
+
+	void close() throws Exception {
+		bw.flush();
+		bw.close();
+	}
+
+	void write(String content) throws Exception {
+		bw.write(content);
+	}
+
+}
+
+public class Main {
+
+	static IOController io;
+
+	//
+
+	static int N, M;
+	static int[] next, root, indeg;
+	static long[] cnt, origin;
+	static List<List<Integer>> cycles;
+	static boolean[] isCycle;
+
+	static int f(int x) {return x==root[x] ? x : (root[x]=f(root[x]));}
+
+	public static void main(String[] args) throws Exception {
+
+		io = new IOController();
+
+		N = io.nextInt();
+		M = io.nextInt();
+		next = new int[M];
+		origin = new long[M];
+		root = new int[M];
+		cnt = new long[M];
+		indeg = new int[M];
+		for(int i=0;i<M;i++) root[i] = i;
+		for(int i=0;i<M;i++) {
+			next[i] = (i*2)%M;
+			indeg[next[i]]++;
+			int x = f(i), y = f(next[i]);
+			if(x != y) root[x] = y;
+		}
+		for(int i=0;i<N;i++) cnt[io.nextInt()]++;
+
+		cycles = new ArrayList<>();
+		boolean[] vis = new boolean[M];
+		boolean[] vvis = new boolean[M];
+		int[] par = new int[M];
+		for(int i=0;i<M;i++) if(!vis[f(i)]) {
+			vis[f(i)] = true;
+			int n = i;
+			vvis[n] = true;
+			while(!vvis[next[n]]) {
+				par[next[n]] = n;
+				n = next[n];
+				vvis[n] = true;
+			}
+			List<Integer> list = new ArrayList<>();
+			int r = next[n];
+			list.add(r);
+			while(n != r) {
+				list.add(n);
+				n = par[n];
+			}
+			cycles.add(list);
+		}
+
+		isCycle = new boolean[M];
+		for(List<Integer> list : cycles) {
+			for(int i:list) isCycle[i] = true;
+		}
+
+		Queue<Integer> q = new ArrayDeque<>();
+		for(int i=0;i<M;i++) if(indeg[i] == 0) q.add(i);
+		while(!q.isEmpty()) {
+			int n = q.poll();
+			origin[next[n]] += origin[n] + cnt[n];
+			cnt[next[n]] += cnt[n];
+			if(!isCycle[next[n]]) {
+				if(--indeg[next[n]] == 0) q.add(next[n]);
+			}
+		}
+
+		long ans = Long.MAX_VALUE, S = 0;
+		for(List<Integer> list : cycles) {
+			long sum = 0, s = 0;
+			int zeroCnt = 0;
+			for(int i=0;i<list.size();i++) {
+				if(cnt[list.get(i)] == 0) zeroCnt++;
+				sum += (long)i * cnt[list.get(i)];
+				s += cnt[list.get(i)];
+			}
+			if(s < S) continue;
+
+			if(zeroCnt == list.size()-1) {
+				int nonzeroNum = 0;
+				for(int i:list) if(cnt[i] != 0) nonzeroNum = i;
+
+				long res = Long.MAX_VALUE;
+				for(int i=0;i<M;i++) if(f(i) == f(nonzeroNum)) {
+					if(cnt[i] == s) res = Math.min(res, origin[i]);
+				}
+
+				if(s > S) ans = res;
+				else ans = Math.min(ans, res);
+				S = s;
+				continue;
+			}
+
+			long res = sum;
+			for(int i=0;i<list.size()-1;i++) {
+				sum += (long)list.size() * cnt[list.get(i)] - s;
+				res = Math.min(res, sum);
+			}
+
+			long orgsum = 0;
+			for(int i:list) {
+				orgsum += origin[i];
+			}
+			res += orgsum;
+
+			if(s > S) ans = res;
+			else ans = Math.min(ans, res);
+			S = s;
+		}
+
+		io.write(S + " " + ans + "\n");
+
+		io.close();
+
+	}
+
+}
+```