結果

問題 No.2125 Inverse Sum
ユーザー 遭難者遭難者
提出日時 2021-05-13 15:35:15
言語 Java21
(openjdk 21)
結果
AC  
実行時間 379 ms / 2,000 ms
コード長 17,831 bytes
コンパイル時間 3,992 ms
コンパイル使用メモリ 94,120 KB
実行使用メモリ 58,956 KB
最終ジャッジ日時 2024-09-20 01:29:15
合計ジャッジ時間 8,460 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
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 106 ms
52,844 KB
testcase_01 AC 97 ms
51,264 KB
testcase_02 AC 66 ms
50,952 KB
testcase_03 AC 71 ms
50,896 KB
testcase_04 AC 103 ms
51,996 KB
testcase_05 AC 117 ms
51,692 KB
testcase_06 AC 68 ms
50,960 KB
testcase_07 AC 99 ms
51,736 KB
testcase_08 AC 98 ms
51,376 KB
testcase_09 AC 95 ms
51,052 KB
testcase_10 AC 70 ms
50,884 KB
testcase_11 AC 93 ms
51,220 KB
testcase_12 AC 101 ms
51,624 KB
testcase_13 AC 95 ms
51,448 KB
testcase_14 AC 124 ms
53,004 KB
testcase_15 AC 94 ms
51,592 KB
testcase_16 AC 105 ms
52,860 KB
testcase_17 AC 106 ms
53,128 KB
testcase_18 AC 96 ms
51,108 KB
testcase_19 AC 93 ms
51,368 KB
testcase_20 AC 106 ms
53,060 KB
testcase_21 AC 107 ms
51,644 KB
testcase_22 AC 111 ms
51,696 KB
testcase_23 AC 69 ms
50,924 KB
testcase_24 AC 103 ms
52,252 KB
testcase_25 AC 104 ms
51,308 KB
testcase_26 AC 66 ms
50,656 KB
testcase_27 AC 379 ms
58,756 KB
testcase_28 AC 347 ms
58,956 KB
testcase_29 AC 304 ms
57,792 KB
testcase_30 AC 96 ms
51,704 KB
testcase_31 AC 347 ms
58,856 KB
testcase_32 AC 161 ms
53,776 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 void solve(ContestScanner sc, ContestPrinter ou) {
        long p = sc.nextLong();
        long q = sc.nextLong();
        a = new ArrayList<Long>();
        b = new ArrayList<Integer>();
        var ans = new ArrayList<Point>();
        a.clear();
        b.clear();
        f(q).forEach((i, j) -> {
            a.add(i);
            b.add(j + 1);
        });
        long s = 1;
        for (int i : b)
            s *= i;
        int n = a.size();
        for (int i = 0; i < s; i++) {
            long ii = i;
            long k = 1;
            for (int j = 0; j < n; j++) {
                k *= pow(a.get(j), ii % b.get(j));
                ii /= b.get(j);
            }
            if ((q + k) % p == 0 && (q + q * q / k) % p == 0 && (q + k) / p > 0 && (q + q * q / k) / p > 0)
                ans.add(new Point((q + k) / p, (q + q * q / k) / p));
        }
        Collections.sort(ans, Point::compareTo);
        ou.println(ans.size());
        ou.printlnArray(ans);
    }

    private static long pow(long a, long b) {
        if (b == 0)
            return 1;
        if ((b & 1) == 0)
            return pow(a * a, b >> 1);
        return a * pow(a, b - 1);
    }

    private static ArrayList<Long> a = new ArrayList<Long>();
    private static ArrayList<Integer> b = new ArrayList<Integer>();

    static HashMap<Long, Integer> f(long a) {
        var h = new HashMap<Long, Integer>();
        for (long i = 2; i * i <= a; i++) {
            if (a % i == 0) {
                int c = 0;
                while (a % i == 0) {
                    c++;
                    a /= i;
                }
                h.put(i, c << 1);
            }
        }
        if (a != 1)
            h.put(a, 2);
        return h;
    }

    public static void main(String[] args) {
        var sc = new ContestScanner();
        var ou = new ContestPrinter();
        solve(sc, ou);
        ou.flush();
        ou.close();
    }
}

class Point {
    long x;
    long y;

    Point(long x, long y) {
        this.x = x;
        this.y = y;
    }

    Point(Point p) {
        this.x = p.x;
        this.y = p.y;
    }

    @Override
    public boolean equals(Object o) {
        if (o == this)
            return true;
        if (o.getClass() != this.getClass())
            return false;
        Point p = (Point) o;
        return this.x == p.x && this.y == p.y;
    }

    @Override
    public int hashCode() {
        long result = x;
        result = 31 * result + y;
        return (int) result;
    }

    @Override
    public String toString() {
        return this.x + " " + this.y;
    }

    public int compareTo(Point p) {
        if (this.x > p.x)
            return 1;
        if (this.x < p.x)
            return -1;
        return 0;
    }
}

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();
        }
        if (buflen <= 0)
            return false;
        return true;
    }

    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 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;
    }

    public char[][] nextCharMatrix(int height, int width, int h, int w, char c) {
        char[][] mat = new char[height + 2 * h][width + 2 * w];
        for (int i = 0; i < height; i++) {
            String s = this.next();
            for (int j = 0; j < width; j++)
                mat[i + h][j + w] = s.charAt(j);
        }
        for (int i = 0; i < h; i++)
            for (int j = 0; j < 2 * w + width; j++)
                mat[i][j] = c;
        for (int i = h + height; i < 2 * h + height; i++)
            for (int j = 0; j < 2 * w + width; j++)
                mat[i][j] = c;
        for (int i = h; i < h + height; i++) {
            for (int j = 0; j < w; j++)
                mat[i][j] = c;
            for (int j = w + width; j < 2 * w + width; j++)
                mat[i][j] = c;
        }
        return mat;
    }

    public boolean[][] nextBooleanMatrix(int height, int width, int h, int w, char c) {
        boolean[][] mat = new boolean[height + 2 * h][width + 2 * w];
        for (int i = 0; i < height; i++) {
            String s = this.next();
            for (int j = 0; j < width; j++)
                mat[i + h][j + w] = s.charAt(j) == c;
        }
        return mat;
    }
}

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 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 printArray(int[] 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(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(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;
        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) {
        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) {
        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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