結果

問題 No.1521 Playing Musical Chairs Alone
ユーザー shojin_proshojin_pro
提出日時 2021-05-28 22:17:28
言語 Java21
(openjdk 21)
結果
AC  
実行時間 976 ms / 2,000 ms
コード長 6,190 bytes
コンパイル時間 4,501 ms
コンパイル使用メモリ 79,972 KB
実行使用メモリ 46,812 KB
最終ジャッジ日時 2024-11-07 09:47:16
合計ジャッジ時間 27,081 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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 785 ms
46,488 KB
testcase_01 AC 849 ms
46,488 KB
testcase_02 AC 849 ms
46,488 KB
testcase_03 AC 787 ms
46,596 KB
testcase_04 AC 804 ms
46,432 KB
testcase_05 AC 849 ms
46,672 KB
testcase_06 AC 864 ms
46,560 KB
testcase_07 AC 893 ms
46,540 KB
testcase_08 AC 872 ms
46,636 KB
testcase_09 AC 849 ms
46,548 KB
testcase_10 AC 838 ms
46,492 KB
testcase_11 AC 894 ms
46,652 KB
testcase_12 AC 849 ms
46,812 KB
testcase_13 AC 892 ms
46,476 KB
testcase_14 AC 868 ms
46,512 KB
testcase_15 AC 899 ms
46,524 KB
testcase_16 AC 902 ms
46,688 KB
testcase_17 AC 887 ms
46,592 KB
testcase_18 AC 889 ms
46,524 KB
testcase_19 AC 867 ms
46,684 KB
testcase_20 AC 887 ms
46,692 KB
testcase_21 AC 892 ms
46,600 KB
testcase_22 AC 849 ms
46,540 KB
testcase_23 AC 902 ms
46,680 KB
testcase_24 AC 850 ms
46,580 KB
testcase_25 AC 976 ms
46,684 KB
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ソースコード

diff # 

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

public class Main {
    static FastScanner sc = new FastScanner(System.in);
    static PrintWriter pw = new PrintWriter(System.out);
    static StringBuilder sb = new StringBuilder();
    static long mod = (long) 1e9 + 7;
    public static void main(String[] args) throws Exception {
        solve();
        pw.flush();
    }
    public static void solve() {
        int N = sc.nextInt();
        int K = sc.nextInt();
        int L = sc.nextInt();
        Matrix matrixA = new Matrix();
        for(int i = 0; i < N; i++){
            for(int j = 1; j <= L; j++){
                matrixA.x[i][(i+j)%N] = 1;
            }
        }
        matrixA = powers(matrixA,K);
        for(int i = 0; i < N; i++){
            pw.println(matrixA.x[0][i]);
        }
    }
    
    public static Matrix multiply(Matrix A, Matrix B) {
        // A × B を求める
        Matrix C = new Matrix();
        C.sz = A.sz;
        for (int i = 0; i < C.sz; i++) {
            for (int j = 0; j < C.sz; j++)
                C.x[i][j] = 0;
        }
        for (int i = 0; i < A.sz; i++) {
            for (int j = 0; j < A.sz; j++) {
                for (int k = 0; k < A.sz; k++) {
                    C.x[i][k] += A.x[i][j] * B.x[j][k];
                    C.x[i][k] %= mod;
                }
            }
        }
        return C;
    }

    public static Matrix powers(Matrix A, long T) {
        // A の T 乗を求める
        Matrix[] E = new Matrix[64];
        Matrix F = new Matrix();
        E[0] = A;
        for (int i = 1; i < 62; i++) {
            E[i] = multiply(E[i - 1], E[i - 1]);
        }

        F.sz = E[0].sz;
        for (int i = 0; i < F.sz; i++) {
            for (int j = 0; j < F.sz; j++) {
                if (i == j)
                    F.x[i][j] = 1;
                if (i != j)
                    F.x[i][j] = 0;
            }
        }

        for (int i = 62; i >= 0; i--) {
            if ((T >> i) % 2 != 0) {
                F = multiply(F, E[i]);
            }
        }
        return F;
    }

    static int MAX_N = 100;

    static class Matrix {
        int sz = MAX_N;
        long[][] x;

        public Matrix() {
            x = new long[MAX_N][MAX_N];
        }
    }
    

    static class GeekInteger {
        public static void save_sort(int[] array) {
            shuffle(array);
            Arrays.sort(array);
        }

        public static int[] shuffle(int[] array) {
            int n = array.length;
            Random random = new Random();
            for (int i = 0, j; i < n; i++) {
                j = i + random.nextInt(n - i);
                int randomElement = array[j];
                array[j] = array[i];
                array[i] = randomElement;
            }
            return array;
        }

        public static void save_sort(long[] array) {
            shuffle(array);
            Arrays.sort(array);
        }

        public static long[] shuffle(long[] array) {
            int n = array.length;
            Random random = new Random();
            for (int i = 0, j; i < n; i++) {
                j = i + random.nextInt(n - i);
                long randomElement = array[j];
                array[j] = array[i];
                array[i] = randomElement;
            }
            return array;
        }

    }
}

class Combination {
    final static long mod = (long) 1e9 + 7;
    private static long[] fact, ifact;

    public Combination(int n) {
        fact = new long[n + 1];
        ifact = new long[n + 1];
        fact[0] = 1;
        long ln = n;
        for (long i = 1; i <= ln; ++i) {
            int ii = (int) i;
            fact[ii] = fact[ii - 1] % mod * i % mod;
        }
        ifact[n] = pow(fact[n], this.mod - 2);
        for (int i = n; i >= 1; --i) {
            int ii = (int) i;
            ifact[ii - 1] = ifact[ii] % mod * i % mod;
        }
    }

    public static long comb(int n, int k) {
        if (k < 0 || k > n)
            return 0;
        return fact[n] % mod * ifact[k] % mod * ifact[n - k] % mod;
    }

    public static long perm(int n, int k) {
        return comb(n, k) * fact[k] % mod;
    }

    public static long pow(long a, long b) {
        long ret = 1;
        long tmp = a;
        while (b > 0) {
            if ((b & 1) == 1) {
                ret = (ret * tmp) % mod;
            }
            tmp = (tmp * tmp) % mod;
            b = b >> 1;
        }
        return ret;
    }
}

class FastScanner {
    private BufferedReader reader = null;
    private StringTokenizer tokenizer = null;

    public FastScanner(InputStream in) {
        reader = new BufferedReader(new InputStreamReader(in));
        tokenizer = null;
    }

    public FastScanner(FileReader in) {
        reader = new BufferedReader(in);
        tokenizer = null;
    }

    public String next() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public String nextLine() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                return reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken("\n");
    }

    public long nextLong() {
        return Long.parseLong(next());
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

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

    public String[] nextArray(int n) {
        String[] a = new String[n];
        for (int i = 0; i < n; i++)
            a[i] = next();
        return a;
    }

    public int[] nextIntArray(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = nextInt();
        return a;
    }

    public long[] nextLongArray(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++)
            a[i] = nextLong();
        return a;
    }
}
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