結果

問題 No.1442 I-wate Shortest Path Problem
ユーザー tentententen
提出日時 2023-02-02 11:53:04
言語 Java21
(openjdk 21)
結果
AC  
実行時間 2,374 ms / 3,000 ms
コード長 5,158 bytes
コンパイル時間 4,402 ms
コンパイル使用メモリ 90,800 KB
実行使用メモリ 125,820 KB
最終ジャッジ日時 2023-09-14 18:40:40
合計ジャッジ時間 37,816 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge14
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 46 ms
49,644 KB
testcase_01 AC 46 ms
47,812 KB
testcase_02 AC 219 ms
56,588 KB
testcase_03 AC 381 ms
60,904 KB
testcase_04 AC 201 ms
56,244 KB
testcase_05 AC 142 ms
55,240 KB
testcase_06 AC 381 ms
60,944 KB
testcase_07 AC 184 ms
56,152 KB
testcase_08 AC 360 ms
61,352 KB
testcase_09 AC 314 ms
60,852 KB
testcase_10 AC 468 ms
61,872 KB
testcase_11 AC 402 ms
60,788 KB
testcase_12 AC 2,163 ms
113,716 KB
testcase_13 AC 942 ms
93,052 KB
testcase_14 AC 1,493 ms
102,496 KB
testcase_15 AC 1,223 ms
95,376 KB
testcase_16 AC 1,617 ms
98,168 KB
testcase_17 AC 2,327 ms
102,720 KB
testcase_18 AC 2,374 ms
102,864 KB
testcase_19 AC 1,976 ms
101,932 KB
testcase_20 AC 2,310 ms
103,280 KB
testcase_21 AC 2,341 ms
104,400 KB
testcase_22 AC 907 ms
113,916 KB
testcase_23 AC 2,166 ms
125,820 KB
testcase_24 AC 805 ms
95,384 KB
testcase_25 AC 1,913 ms
110,780 KB
testcase_26 AC 1,085 ms
102,580 KB
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ソースコード

diff # 

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

public class Main {
    static ArrayList<ArrayList<Path>> graph = new ArrayList<>();
    static int[] depths;
    static int[][] parents;
    static long[] lengths;
    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 ArrayList<>());
        }
        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).add(new Path(b, c));
            graph.get(b).add(new Path(a, c));
        }
        depths = new int[n];
        parents = new int[17][n];
        lengths = new long[n];
        setDepth(0, 0, 0, 0);
        for (int i = 1; i < 17; i++) {
            for (int j = 0; j < n; j++) {
                parents[i][j] = parents[i - 1][parents[i - 1][j]];
            }
        }
        int[] frights = new int[k];
        for (int i = 0; i < k; i++) {
            int m = sc.nextInt();
            frights[i] = sc.nextInt();
            for (int j = 0; j < m; j++) {
                int x = sc.nextInt() - 1;
                graph.get(x).add(new Path(n + i, frights[i]));
                graph.get(n + i).add(new Path(x, 0));
            }
        }
        long[][] costs = new long[k][n + k];
        PriorityQueue<Path> queue = new PriorityQueue<>();
        for (int i = 0; i < k; i++) {
            Arrays.fill(costs[i], Long.MAX_VALUE);
            queue.add(new Path(n + i, 0));
            while (queue.size() > 0) {
                Path p = queue.poll();
                if (costs[i][p.idx] <= p.value) {
                    continue;
                }
                costs[i][p.idx] = p.value;
                for (Path x : graph.get(p.idx)) {
                    queue.add(new Path(x.idx, p.value + x.value));
                }
            }
        }
        int q = sc.nextInt();
        StringBuilder sb = new StringBuilder();
        while (q-- > 0) {
            int left = sc.nextInt() - 1;
            int right = sc.nextInt() - 1;
            int lca = getLCA(left, right);
            long ans = lengths[left] + lengths[right] - lengths[lca] * 2;
            for (int i = 0; i < k; i++) {
                ans = Math.min(ans, costs[i][left] + costs[i][right] + frights[i]);
            }
            sb.append(ans).append("\n");
        }
        System.out.print(sb);
    }
    
    static void setDepth(int idx, int p, int d, long v) {
        depths[idx] = d;
        parents[0][idx] = p;
        lengths[idx] = v;
        for (Path x : graph.get(idx)) {
            if (x.idx == p) {
                continue;
            }
            setDepth(x.idx, idx, d + 1, v + x.value);
        }
    }
    
    static int getLCA(int a, int b) {
        if (depths[a] < depths[b]) {
            return getLCA(b, a);
        }
        for (int i = 16; i >= 0; i--) {
            if (depths[a] - depths[b] < (1 << i)) {
                continue;
            }
            a = parents[i][a];
        }
        if (a == b) {
            return a;
        }
        for (int i = 16; i >= 0; i--) {
            if (parents[i][a] != parents[i][b]) {
                a = parents[i][a];
                b = parents[i][b];
            }
        }
        return parents[0][a];
    }
    
    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 Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}
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