結果

問題 No.1442 I-wate Shortest Path Problem
ユーザー tentententen
提出日時 2021-04-14 09:12:19
言語 Java21
(openjdk 21)
結果
AC  
実行時間 2,931 ms / 3,000 ms
コード長 4,670 bytes
コンパイル時間 2,360 ms
コンパイル使用メモリ 80,520 KB
実行使用メモリ 151,136 KB
最終ジャッジ日時 2024-06-30 10:03:11
合計ジャッジ時間 39,993 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 55 ms
50,456 KB
testcase_01 AC 52 ms
50,444 KB
testcase_02 AC 230 ms
56,664 KB
testcase_03 AC 397 ms
64,020 KB
testcase_04 AC 224 ms
56,936 KB
testcase_05 AC 163 ms
55,184 KB
testcase_06 AC 396 ms
61,232 KB
testcase_07 AC 202 ms
55,936 KB
testcase_08 AC 364 ms
60,752 KB
testcase_09 AC 295 ms
58,808 KB
testcase_10 AC 453 ms
63,584 KB
testcase_11 AC 414 ms
61,168 KB
testcase_12 AC 2,282 ms
132,792 KB
testcase_13 AC 1,094 ms
114,700 KB
testcase_14 AC 1,915 ms
128,148 KB
testcase_15 AC 1,807 ms
122,256 KB
testcase_16 AC 2,208 ms
126,552 KB
testcase_17 AC 2,906 ms
141,704 KB
testcase_18 AC 2,792 ms
132,564 KB
testcase_19 AC 2,447 ms
131,324 KB
testcase_20 AC 2,931 ms
135,468 KB
testcase_21 AC 2,779 ms
138,212 KB
testcase_22 AC 1,169 ms
143,640 KB
testcase_23 AC 2,230 ms
151,136 KB
testcase_24 AC 996 ms
117,300 KB
testcase_25 AC 2,227 ms
138,936 KB
testcase_26 AC 1,349 ms
131,868 KB
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ソースコード

diff # 

import java.io.*;
import java.util.*;

public class Main {
    static ArrayList<HashMap<Integer, Integer>> graph = new ArrayList<>();
    static int[] depths;
    static int[][] parents;
    static long[] costs;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int k = sc.nextInt();
        for (int i = 0; i < n + k; i++) {
            graph.add(new HashMap<>());
        }
        for (int i = 0; i < n -1; i++) {
            int a = sc.nextInt() - 1;
            int b = sc.nextInt() - 1;
            int c = sc.nextInt();
            graph.get(a).put(b, c);
            graph.get(b).put(a, c);
        }
        depths = new int[n];
        parents = new int[18][n];
        costs = new long[n];
        setParents(0, 0, 0, 0);
        for (int i = 1; i < 18; i++) {
            for (int j = 0; j < n; j++) {
                parents[i][j] = parents[i - 1][parents[i - 1][j]];
            }
        }
        int[] prices = new int[k];
        for (int i = 0; i < k; i++) {
            int count = sc.nextInt();
            prices[i] = sc.nextInt();
            for (int j = 0; j < count; j++) {
                int a = sc.nextInt() - 1;
                graph.get(i + n).put(a, 0);
                graph.get(a).put(i + n, prices[i]);
            }
        }
        long[][] values = new long[k][n + k];
        PriorityQueue<Path> queue = new PriorityQueue<>();
        for (int i = 0; i < k; i++) {
            queue.add(new Path(n + i, 0));
            Arrays.fill(values[i], Long.MAX_VALUE);
            while (queue.size() > 0) {
                Path p = queue.poll();
                if (values[i][p.idx] <= p.value) {
                    continue;
                }
                values[i][p.idx] = p.value;
                for (int x : graph.get(p.idx).keySet()) {
                    if (values[i][x] == Long.MAX_VALUE) {
                        queue.add(new Path(x, p.value + graph.get(p.idx).get(x)));
                    }
                }
            }
        }
        int q = sc.nextInt();
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < q; i++) {
            int left = sc.nextInt() - 1;
            int right = sc.nextInt() - 1;
            int lca = getLCA(left, right);
            long ans = costs[left] + costs[right] - costs[lca] * 2;
            for (int j = 0; j < k; j++) {
                ans = Math.min(ans, values[j][left] + values[j][right] + prices[j]);
            }
            sb.append(ans).append("\n");
        }
        System.out.print(sb);
    }
    
    static int getLCA(int left, int right) {
        if (depths[left] < depths[right]) {
            return getLCA(right, left);
        }
        for (int i = 17; i >= 0 && depths[left] > depths[right]; i--) {
            if (depths[left] - depths[right] >= (1 << i)) {
                left = parents[i][left];
            }
        }
        if (left == right) {
            return left;
        }
        for (int i = 17; i >= 0; i--) {
            if (parents[i][left] != parents[i][right]) {
                left = parents[i][left];
                right = parents[i][right];
            }
        }
        return parents[0][left];
    }
    
    static void setParents(int idx, int p, int d, long c) {
        parents[0][idx] = p;
        depths[idx] = d;
        costs[idx] = c;
        for (int x : graph.get(idx).keySet()) {
            if (x == p) {
                continue;
            }
            setParents(x, idx, d + 1, c + graph.get(idx).get(x));
        }
    }
    
    static class Path implements Comparable<Path> {
        int idx;
        long value;
        
        public Path (int idx, long value) {
            this.idx = idx;
            this.value = value;
        }
        
        public int compareTo(Path another) {
            if (value == another.value) {
                return 0;
            } else if (value < another.value) {
                return -1;
            } else {
                return 1;
            }
        }
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}
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