結果

問題 No.1843 Tree ANDistance
ユーザー 遭難者遭難者
提出日時 2022-02-19 00:11:45
言語 Java21
(openjdk 21)
結果
AC  
実行時間 393 ms / 2,000 ms
コード長 18,604 bytes
コンパイル時間 4,044 ms
コンパイル使用メモリ 84,340 KB
実行使用メモリ 69,240 KB
最終ジャッジ日時 2023-09-11 20:19:35
合計ジャッジ時間 15,648 ms
ジャッジサーバーID
(参考情報)
judge11 / judge15
このコードへのチャレンジ
(要ログイン)

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 375 ms
68,552 KB
testcase_01 AC 386 ms
68,372 KB
testcase_02 AC 368 ms
68,408 KB
testcase_03 AC 393 ms
68,808 KB
testcase_04 AC 380 ms
68,076 KB
testcase_05 AC 343 ms
68,572 KB
testcase_06 AC 348 ms
69,240 KB
testcase_07 AC 381 ms
68,608 KB
testcase_08 AC 379 ms
68,396 KB
testcase_09 AC 352 ms
68,452 KB
testcase_10 AC 372 ms
68,256 KB
testcase_11 AC 391 ms
68,468 KB
testcase_12 AC 341 ms
68,516 KB
testcase_13 AC 344 ms
68,740 KB
testcase_14 AC 91 ms
52,280 KB
testcase_15 AC 92 ms
52,344 KB
testcase_16 AC 81 ms
51,552 KB
testcase_17 AC 79 ms
51,608 KB
testcase_18 AC 56 ms
50,640 KB
testcase_19 AC 98 ms
52,424 KB
testcase_20 AC 81 ms
51,780 KB
testcase_21 AC 44 ms
49,424 KB
testcase_22 AC 45 ms
49,568 KB
testcase_23 AC 46 ms
49,612 KB
testcase_24 AC 46 ms
49,860 KB
testcase_25 AC 45 ms
49,520 KB
testcase_26 AC 46 ms
49,396 KB
testcase_27 AC 46 ms
49,472 KB
testcase_28 AC 267 ms
64,584 KB
testcase_29 AC 247 ms
60,912 KB
testcase_30 AC 242 ms
60,416 KB
testcase_31 AC 275 ms
63,184 KB
testcase_32 AC 271 ms
65,408 KB
testcase_33 AC 206 ms
57,564 KB
testcase_34 AC 261 ms
64,888 KB
testcase_35 AC 45 ms
49,268 KB
testcase_36 AC 45 ms
49,356 KB
testcase_37 AC 45 ms
49,456 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

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

class Main {
    private static final void solve() {
        int n = sc.nextInt();
        var d = new DSU[30];
        for (int i = 0; i < 30; i++)
            d[i] = new DSU(n);
        for (int i = 1; i < n; i++) {
            int u = sc.nextInt() - 1;
            int v = sc.nextInt() - 1;
            int c = sc.nextInt();
            for (int j = 0; j < 30; j++) {
                if ((c & 1) == 1)
                    d[j].merge(u, v);
                c >>= 1;
            }
        }
        final int mod = (int) 1e9 + 7;
        long ans = 0;
        var a = new boolean[n];
        for (int j = 0; j < 30; j++) {
            Arrays.fill(a, false);
            long s = 0;
            for (int i = 0; i < n; i++) {
                int x = d[j].leader(i);
                if (a[x])
                    continue;
                a[x] = true;
                long t = d[j].size(x);
                s += t * (t - 1) / 2 % mod;
                s %= mod;
            }
            s *= 1L << j;
            s %= mod;
            ans += s;
            if (ans > mod)
                ans -= mod;
        }
        ou.println(ans);
    }

    public static void main(String[] args) {
        solve();
        ou.flush();
    }

    private static final ContestScanner sc = new ContestScanner(System.in);
    private static final ContestPrinter ou = new ContestPrinter(System.out);
}

class DSU {
    private int n;
    private int[] parentOrSize;

    public DSU(int n) {
        this.n = n;
        this.parentOrSize = new int[n];
        java.util.Arrays.fill(parentOrSize, -1);
    }

    int merge(int a, int b) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("a=" + a);
        if (!(0 <= b && b < n))
            throw new IndexOutOfBoundsException("b=" + b);

        int x = leader(a);
        int y = leader(b);
        if (x == y)
            return x;
        if (-parentOrSize[x] < -parentOrSize[y]) {
            int tmp = x;
            x = y;
            y = tmp;
        }
        parentOrSize[x] += parentOrSize[y];
        parentOrSize[y] = x;
        return x;
    }

    boolean same(int a, int b) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("a=" + a);
        if (!(0 <= b && b < n))
            throw new IndexOutOfBoundsException("b=" + b);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        if (parentOrSize[a] < 0) {
            return a;
        } else {
            parentOrSize[a] = leader(parentOrSize[a]);
            return parentOrSize[a];
        }
    }

    int size(int a) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("" + a);
        return -parentOrSize[leader(a)];
    }

    ArrayList<ArrayList<Integer>> groups() {
        int[] leaderBuf = new int[n];
        int[] groupSize = new int[n];
        for (int i = 0; i < n; i++) {
            leaderBuf[i] = leader(i);
            groupSize[leaderBuf[i]]++;
        }
        ArrayList<ArrayList<Integer>> result = new ArrayList<>(n);
        for (int i = 0; i < n; i++)
            result.add(new ArrayList<>(groupSize[i]));
        for (int i = 0; i < n; i++)
            result.get(leaderBuf[i]).add(i);
        result.removeIf(ArrayList::isEmpty);
        return result;
    }
}

final class ContestScanner {
    private final InputStream in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;

    public ContestScanner(InputStream in) {
        this.in = in;
    }

    public ContestScanner() {
        this(System.in);
    }

    private boolean hasNextByte() {
        if (ptr < buflen)
            return true;
        ptr = 0;
        try {
            buflen = in.read(buffer);
        } catch (IOException e) {
            e.printStackTrace();
        }
        return buflen > 0;
    }

    private int readByte() {
        return hasNextByte() ? buffer[ptr++] : -1;
    }

    private static boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }

    public boolean hasNext() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr]))
            ptr++;
        return hasNextByte();
    }

    public String next() {
        if (!hasNext())
            throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    public void nextThrow(int n) {
        for (int i = 0; i < n; i++)
            this.next();
    }

    public void nextThrow() {
        this.nextThrow(1);
    }

    public long nextLong() {
        if (!hasNext())
            throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b)
            throw new NumberFormatException();
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b))
                return minus ? -n : n;
            else
                throw new NumberFormatException();
            b = readByte();
        }
    }

    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
            throw new NumberFormatException();
        return (int) nl;
    }

    public double nextDouble() {
        return Double.parseDouble(next());
    }

    public boolean[] nextBoolean(char True) {
        String s = this.next();
        int n = s.length();
        boolean[] array = new boolean[n];
        for (int i = 0; i < n; i++)
            array[i] = s.charAt(i) == True;
        return array;
    }

    public long[] nextLongArray(int length) {
        long[] array = new long[length];
        for (int i = 0; i < length; i++)
            array[i] = this.nextLong();
        return array;
    }

    public long[] nextLongArray(int length, java.util.function.LongUnaryOperator map) {
        long[] array = new long[length];
        for (int i = 0; i < length; i++)
            array[i] = map.applyAsLong(this.nextLong());
        return array;
    }

    public long[] nextLongArray(int length, long[] a) {
        long[] array = new long[length + a.length];
        for (int i = 0; i < length; i++)
            array[i] = this.nextLong();
        for (int i = length; i < array.length; i++)
            array[i] = a[i - length];
        return array;
    }

    public int[] nextIntArray(int length) {
        int[] array = new int[length];
        for (int i = 0; i < length; i++)
            array[i] = this.nextInt();
        return array;
    }

    public int[] nextIntArray(int length, java.util.function.IntUnaryOperator map) {
        int[] array = new int[length];
        for (int i = 0; i < length; i++)
            array[i] = map.applyAsInt(this.nextInt());
        return array;
    }

    public int[] nextIntArray(int length, int[] array) {
        int n = length + array.length;
        int[] a = new int[n];
        for (int i = 0; i < length; i++)
            a[i] = this.nextInt();
        for (int i = length; i < n; i++)
            a[i] = array[i - length];
        return a;
    }

    public Integer[] nextIntegerArray(int length, java.util.function.IntUnaryOperator map) {
        Integer[] array = new Integer[length];
        for (int i = 0; i < length; i++)
            array[i] = map.applyAsInt(this.nextInt());
        return array;
    }

    public Integer[] nextIntegerArray(int length) {
        Integer[] array = new Integer[length];
        for (int i = 0; i < length; i++)
            array[i] = this.nextInt();
        return array;
    }

    public double[] nextDoubleArray(int length) {
        double[] array = new double[length];
        for (int i = 0; i < length; i++)
            array[i] = this.nextDouble();
        return array;
    }

    public double[] nextDoubleArray(int length, java.util.function.DoubleUnaryOperator map) {
        double[] array = new double[length];
        for (int i = 0; i < length; i++)
            array[i] = map.applyAsDouble(this.nextDouble());
        return array;
    }

    public String[] nextArray(int length) {
        String[] array = new String[length];
        for (int i = 0; i < length; i++)
            array[i] = this.next();
        return array;
    }

    public long[][] nextLongMatrix(int height, int width) {
        long[][] mat = new long[height][width];
        for (int h = 0; h < height; h++)
            for (int w = 0; w < width; w++)
                mat[h][w] = this.nextLong();
        return mat;
    }

    public long[][] nextLongMatrix(int height, int width, java.util.function.LongUnaryOperator map) {
        long[][] mat = new long[height][width];
        for (int h = 0; h < height; h++)
            for (int w = 0; w < width; w++)
                mat[h][w] = map.applyAsLong(this.nextLong());
        return mat;
    }

    public int[][] nextIntMatrix(int height, int width) {
        int[][] mat = new int[height][width];
        for (int h = 0; h < height; h++)
            for (int w = 0; w < width; w++)
                mat[h][w] = this.nextInt();
        return mat;
    }

    public int[][] nextIntMatrix(int height, int width, java.util.function.IntUnaryOperator map) {
        int[][] mat = new int[height][width];
        for (int h = 0; h < height; h++)
            for (int w = 0; w < width; w++)
                mat[h][w] = map.applyAsInt(this.nextInt());
        return mat;
    }

    public double[][] nextDoubleMatrix(int height, int width) {
        double[][] mat = new double[height][width];
        for (int h = 0; h < height; h++)
            for (int w = 0; w < width; w++)
                mat[h][w] = this.nextDouble();
        return mat;
    }

    public boolean[][] nextBooleanMatrix(int height, int width, char True) {
        boolean[][] mat = new boolean[height][width];
        for (int h = 0; h < height; h++) {
            String s = this.next();
            for (int w = 0; w < width; w++)
                mat[h][w] = s.charAt(w) == True;
        }
        return mat;
    }

    public char[][] nextCharMatrix(int height, int width) {
        char[][] mat = new char[height][width];
        for (int h = 0; h < height; h++) {
            String s = this.next();
            for (int w = 0; w < width; w++)
                mat[h][w] = s.charAt(w);
        }
        return mat;
    }
}

final class ContestPrinter extends PrintWriter {
    public ContestPrinter(PrintStream stream) {
        super(stream);
    }

    public ContestPrinter() {
        super(System.out);
    }

    private static String dtos(double x, int n) {
        StringBuilder sb = new StringBuilder();
        if (x < 0) {
            sb.append('-');
            x = -x;
        }
        x += Math.pow(10, -n) / 2;
        sb.append((long) x);
        sb.append(".");
        x -= (long) x;
        for (int i = 0; i < n; i++) {
            x *= 10;
            sb.append((int) x);
            x -= (int) x;
        }
        return sb.toString();
    }

    @Override
    public void print(float f) {
        super.print(dtos(f, 20));
    }

    @Override
    public void println(float f) {
        super.println(dtos(f, 20));
    }

    @Override
    public void print(double d) {
        super.print(dtos(d, 20));
    }

    @Override
    public void println(double d) {
        super.println(dtos(d, 20));
    }

    public void printlnArray(String[] array) {
        for (String i : array)
            super.println(i);
    }

    public void printSpace(Object... o) {
        int n = o.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(o[i]);
            super.print(" ");
        }
        super.println(o[n]);
    }

    public void println(Object... o) {
        int n = o.length - 1;
        for (int i = 0; i < n; i++)
            super.print(o[i]);
        super.println(o[n]);
    }

    public void printYN(boolean o) {
        super.println(o ? "Yes" : "No");
    }

    public void print(Object... o) {
        int n = o.length - 1;
        for (int i = 0; i < n; i++)
            super.print(o[i]);
        super.print(o[n]);
    }

    public void printArray(Object[] array) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(array[i]);
            super.print(" ");
        }
        super.println(array[n]);
    }

    public void printlnArray(Object[] array) {
        for (Object i : array)
            super.println(i);
    }

    public void printArray(int[] array, String separator) {
        int n = array.length - 1;
        if (n == -1)
            return;
        for (int i = 0; i < n; i++) {
            super.print(array[i]);
            super.print(separator);
        }
        super.println(array[n]);
    }

    public void printArray(int[] array) {
        this.printArray(array, " ");
    }

    public void printArray(Integer[] array) {
        this.printArray(array, " ");
    }

    public void printArray(Integer[] array, String separator) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(array[i]);
            super.print(separator);
        }
        super.println(array[n]);
    }

    public void printlnArray(int[] array) {
        for (int i : array)
            super.println(i);
    }

    public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(map.applyAsInt(array[i]));
            super.print(separator);
        }
        super.println(map.applyAsInt(array[n]));
    }

    public void printlnArray(int[] array, java.util.function.IntUnaryOperator map) {
        for (int i : array)
            super.println(map.applyAsInt(i));
    }

    public void printlnArray(long[] array, java.util.function.LongUnaryOperator map) {
        for (long i : array)
            super.println(map.applyAsLong(i));
    }

    public void printArray(int[] array, java.util.function.IntUnaryOperator map) {
        this.printArray(array, " ", map);
    }

    public void printArray(long[] array, String separator) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(array[i]);
            super.print(separator);
        }
        super.println(array[n]);
    }

    public void printArray(long[] array) {
        this.printArray(array, " ");
    }

    public void printlnArray(long[] array) {
        for (long i : array)
            super.println(i);
    }

    public void printArray(double[] array) {
        printArray(array, " ");
    }

    public void printArray(double[] array, String separator) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(array[i]);
            super.print(separator);
        }
        super.println(array[n]);
    }

    public void printlnArray(double[] array) {
        for (double i : array)
            super.println(i);
    }

    public void printArray(boolean[] array, String a, String b) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++)
            super.print((array[i] ? a : b) + " ");
        super.println(array[n] ? a : b);
    }

    public void printArray(boolean[] array) {
        this.printArray(array, "Y", "N");
    }

    public void printArray(char[] array) {
        for (char c : array)
            this.print(c);
        this.println();
    }

    public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) {
        int n = array.length - 1;
        for (int i = 0; i < n; i++) {
            super.print(map.applyAsLong(array[i]));
            super.print(separator);
        }
        super.println(map.applyAsLong(array[n]));
    }

    public void printArray(long[] array, java.util.function.LongUnaryOperator map) {
        this.printArray(array, " ", map);
    }

    public void printArray(ArrayList<?> array) {
        this.printArray(array, " ");
    }

    public void printArray(ArrayList<?> array, String separator) {
        int n = array.size() - 1;
        if (n == -1)
            return;
        for (int i = 0; i < n; i++) {
            super.print(array.get(i).toString());
            super.print(separator);
        }
        super.println(array.get(n).toString());
    }

    public void printlnArray(ArrayList<?> array) {
        int n = array.size();
        for (int i = 0; i < n; i++)
            super.println(array.get(i).toString());
    }

    public void printArray(int[][] array) {
        for (int[] a : array)
            this.printArray(a);
    }

    public void printArray(int[][] array, java.util.function.IntUnaryOperator map) {
        for (int[] a : array)
            this.printArray(a, map);
    }

    public void printArray(long[][] array) {
        int n = array.length;
        if (n == 0)
            return;
        int m = array[0].length - 1;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++)
                super.print(array[i][j] + " ");
            super.println(array[i][m]);
        }
    }

    public void printArray(long[][] array, java.util.function.LongUnaryOperator map) {
        int n = array.length;
        if (n == 0)
            return;
        int m = array[0].length - 1;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                super.print(map.applyAsLong(array[i][j]));
                super.print(" ");
            }
            super.println(map.applyAsLong(array[i][m]));
        }
    }

    public void printArray(boolean[][] array) {
        int n = array.length;
        if (n == 0)
            return;
        int m = array[0].length - 1;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++)
                super.print(array[i][j] ? "○ " : "× ");
            super.println(array[i][m] ? "○" : "×");
        }
    }

    public void printArray(char[][] array) {
        int n = array.length;
        if (n == 0)
            return;
        int m = array[0].length;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++)
                super.print(array[i][j]);
            super.println();
        }
    }
}
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