From 098131d31f9fd5511a8691e07fef4722fc69b4fc Mon Sep 17 00:00:00 2001
From: oncsr <khj20006@naver.com>
Date: Sun, 13 Jul 2025 22:46:02 +0900
Subject: [PATCH] =?UTF-8?q?[20250713]=20BOJ=20/=20P4=20/=20Home=20Sweet=20?=
 =?UTF-8?q?Home=20/=20=EA=B6=8C=ED=98=81=EC=A4=80?=
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---
 khj20006/202507/13 BOJ P4 Home Sweet Home.md | 138 +++++++++++++++++++
 1 file changed, 138 insertions(+)
 create mode 100644 khj20006/202507/13 BOJ P4 Home Sweet Home.md

diff --git a/khj20006/202507/13 BOJ P4 Home Sweet Home.md b/khj20006/202507/13 BOJ P4 Home Sweet Home.md
new file mode 100644
index 00000000..bae5cda8
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+++ b/khj20006/202507/13 BOJ P4 Home Sweet Home.md	
@@ -0,0 +1,138 @@
+```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 final long INF = (long)1e18 + 7;
+
+    static int N, M, K;
+    static List<int[]>[] graph;
+
+    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();
+        K = io.nextInt();
+        graph = new ArrayList[N+1];
+        for (int i = 1; i <= N; i++) graph[i] = new ArrayList<>();
+        for (int i = 1; i <= M; i++) {
+            int a = io.nextInt();
+            int b = io.nextInt();
+            int c = io.nextInt();
+            graph[a].add(new int[]{b,c});
+            graph[b].add(new int[]{a,c});
+        }
+
+    }
+
+    static void solve() throws Exception {
+
+        // 다익스트라 돌리기
+        long[] dist = new long[N+1];
+        Arrays.fill(dist, INF);
+        PriorityQueue<long[]> pq = new PriorityQueue<>((a,b) -> Long.compare(a[0],b[0]));
+        dist[1] = 0;
+        pq.offer(new long[]{0,1});
+        while(!pq.isEmpty()) {
+            long[] cur = pq.poll();
+            int n = (int)cur[1];
+            long d = cur[0];
+            if(d > dist[n]) continue;
+            for(int[] e : graph[n]) {
+                if(dist[e[0]] > d + e[1]) {
+                    dist[e[0]] = d + e[1];
+                    pq.offer(new long[]{dist[e[0]], e[0]});
+                }
+            }
+        }
+
+        // dist 정렬
+        long[] arr = new long[N];
+        for(int i=1;i<=N;i++) arr[i-1] = dist[i];
+        Arrays.sort(arr);
+
+        // 단순 그래프를 만족하지 않는 경우 먼저 제외
+        long answer = 0;
+        for(int i=1;i<=N;i++) for(int[] e:graph[i]) {
+            int j = e[0], c = e[1];
+            if(i<j) continue;
+            answer -= Math.max(0L, (K - Math.abs(dist[i] - dist[j]) + 1));
+        }
+
+        // 답 구하기
+        long prevSum = 0;
+        int lastIndex = 0;
+        for(int i=1;i<N;i++) {
+            while(arr[i] - arr[lastIndex] > K) {
+                prevSum -= arr[lastIndex++];
+            }
+            answer += (long)(i-lastIndex)*(K-arr[i]+1) + prevSum;
+            prevSum += arr[i];
+        }
+
+        io.write(answer + "\n");
+
+    }
+
+}
+```