From 1a911a55f5b2a68faa9f2e5c8d39877729f949f3 Mon Sep 17 00:00:00 2001
From: oncsr <khj20006@naver.com>
Date: Sat, 19 Jul 2025 18:46:45 +0900
Subject: [PATCH] =?UTF-8?q?[20250719]=20BOJ=20/=20D4=20/=20=EC=8A=B9?=
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---
 ...0 \354\212\271\355\230\204\354\235\264.md" | 184 ++++++++++++++++++
 1 file changed, 184 insertions(+)
 create mode 100644 "khj20006/202507/19 BOJ D4 \354\212\271\355\230\204\354\235\264\354\231\200 \354\212\271\355\230\204\354\235\264.md"

diff --git "a/khj20006/202507/19 BOJ D4 \354\212\271\355\230\204\354\235\264\354\231\200 \354\212\271\355\230\204\354\235\264.md" "b/khj20006/202507/19 BOJ D4 \354\212\271\355\230\204\354\235\264\354\231\200 \354\212\271\355\230\204\354\235\264.md"
new file mode 100644
index 00000000..a9d28914
--- /dev/null
+++ "b/khj20006/202507/19 BOJ D4 \354\212\271\355\230\204\354\235\264\354\231\200 \354\212\271\355\230\204\354\235\264.md"	
@@ -0,0 +1,184 @@
+```java
+import java.util.*;
+import java.io.*;
+
+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[] cost;
+    static List<int[]>[] graph;
+    static List<int[]> edges;
+    static int[] r, depth;
+    static int[][] parent, min;
+
+    public static int f(int x) {return x==r[x] ? x : (r[x]=f(r[x]));}
+
+    public static void main(String[] args) throws Exception {
+
+        io = new IOController();
+
+        init();
+        solve();
+
+        io.close();
+
+    }
+
+    public static void init() throws Exception {
+
+        N = io.nextInt();
+        M = io.nextInt();
+        cost = new int[N];
+        for(int i=0;i<N;i++) cost[i] = io.nextInt();
+        graph = new List[N*N];
+        r = new int[N*N];
+        depth = new int[N*N];
+        parent = new int[N*N+1][18];
+        min = new int[N*N+1][18];
+        for(int i=0;i<N*N;i++) {
+            graph[i] = new ArrayList<>();
+            r[i] = i;
+            int x = i/N, y = i%N;
+        }
+        edges = new ArrayList<>();
+        while(M-->0) {
+            int u = io.nextInt() - 1;
+            int v = io.nextInt() - 1;
+            for(int i=0;i<N;i++) {
+                int from = i*N + u;
+                int to = i*N + v;
+                int value = cost[i] * Math.max(cost[u], cost[v]);
+                edges.add(new int[]{from, to, value});
+
+                from = u*N + i;
+                to = v*N + i;
+                edges.add(new int[]{from, to, value});
+            }
+        }
+
+    }
+
+    static void solve() throws Exception {
+
+        constructMST();
+        dfs(0, N*N, 0);
+        constructSparseTable();
+
+        int Q = io.nextInt();
+        while(Q-->0) {
+            int u = io.nextInt() - 1;
+            int v = io.nextInt() - 1;
+            int from = u*N + v;
+            int to = v*N + u;
+
+            io.write(getMinValue(from, to) + "\n");
+        }
+
+    }
+
+    static void constructMST() {
+        Collections.sort(edges, (a,b) -> a[2]-b[2]);
+        for(int[] edge : edges) {
+            int a = edge[0], b = edge[1], c = edge[2];
+            int x = f(a), y = f(b);
+            if(x == y) continue;
+            r[x] = y;
+            graph[a].add(new int[]{b,c});
+            graph[b].add(new int[]{a,c});
+        }
+    }
+
+    static void dfs(int n, int p, int d) {
+        depth[n] = d;
+        parent[n][0] = p;
+        for(int[] e:graph[n]) if(e[0] != p) {
+            dfs(e[0], n, d+1);
+            min[e[0]][0] = e[1];
+        }
+    }
+
+    static void constructSparseTable() {
+        for(int k=1;k<18;k++) for(int i=0;i<N*N;i++) {
+            parent[i][k] = parent[parent[i][k-1]][k-1];
+            min[i][k] = Math.max(min[i][k-1], min[parent[i][k-1]][k-1]);
+        }
+    }
+
+    static int getMinValue(int a, int b) {
+        int depthDiff = Math.abs(depth[a] - depth[b]);
+        int result = 0;
+        for(int k=0;k<18;k++) if((depthDiff & (1<<k)) != 0) {
+            if(depth[a] > depth[b]) {
+                result = Math.max(result, min[a][k]);
+                a = parent[a][k];
+            }
+            else {
+                result = Math.max(result, min[b][k]);
+                b = parent[b][k];
+            }
+        }
+
+        for(int k=17;k>=0;k--) if(parent[a][k] != parent[b][k]) {
+            result = Math.max(result, Math.max(min[a][k], min[b][k]));
+            a = parent[a][k];
+            b = parent[b][k];
+        }
+        if(a != b) {
+            result = Math.max(result, Math.max(min[a][0], min[b][0]));
+        }
+
+        return result;
+
+    }
+
+}
+```