結果

問題 No.718 行列のできるフィボナッチ数列道場 (1)
ユーザー hiromi_ayase
提出日時 2018-07-27 23:48:23
言語 Java
(openjdk 23)
結果
AC  
実行時間 71 ms / 2,000 ms
コード長 3,702 bytes
コンパイル時間 2,390 ms
コンパイル使用メモリ 89,980 KB
実行使用メモリ 38,652 KB
最終ジャッジ日時 2024-07-05 06:03:26
合計ジャッジ時間 4,639 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 20
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 #
プレゼンテーションモードにする

public class Main {
  private static void solve() {
    long n = nl();
    int[][] a = {{1, 1}, {1, 0}};
    int[] v = {1, 0};
    
    int mod = 1000000000 + 7;
    long x = pow(a, v, n, mod)[0];
    long y = pow(a, v, n - 1, mod)[0];
    System.out.println(x * y % mod);
  }
  public static int[] pow(int[][] A, int[] v, long e, int mod)
  {
      int[][] MUL = A;
      for(int i = 0;i < v.length;i++)v[i] %= mod;
      for(;e > 0;e>>>=1) {
          if((e&1)==1)v = mul(MUL, v, mod);
          MUL = p2(MUL, mod);
      }
      return v;
  }
  
  
  // int matrix * int vector
  public static int[] mul(int[][] A, int[] v, int mod)
  {
      int m = A.length;
      int n = v.length;
      int[] w = new int[m];
      for(int i = 0;i < m;i++){
          long sum = 0;
          for(int k = 0;k < n;k++){
              sum += (long)A[i][k] * v[k];
              sum %= mod;
          }
          w[i] = (int)sum;
      }
      return w;
  }
  public static int[][] p2(int[][] A, int mod)
  {
      int n = A.length;
      int[][] C = new int[n][n];
      for(int i = 0;i < n;i++){
          for(int j = 0;j < n;j++){
              long sum = 0;
              for(int k = 0;k < n;k++){
                  sum += (long)A[i][k] * A[k][j];
                  sum %= mod;
              }
              C[i][j] = (int)sum;
          }
      }
      return C;
  }
  public static void main(String[] args) {
    new Thread(null, new Runnable() {
      @Override
      public void run() {
        long start = System.currentTimeMillis();
        String debug = args.length > 0 ? args[0] : null;
        if (debug != null) {
          try {
            is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
          } catch (Exception e) {
            throw new RuntimeException(e);
          }
        }
        reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
        solve();
        out.flush();
        tr((System.currentTimeMillis() - start) + "ms");
      }
    }, "", 64000000).start();
  }
  private static java.io.InputStream is = System.in;
  private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
  private static java.util.StringTokenizer tokenizer = null;
  private static java.io.BufferedReader reader;
  public static String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }
  private static double nd() {
    return Double.parseDouble(next());
  }
  private static long nl() {
    return Long.parseLong(next());
  }
  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }
  private static char[] ns() {
    return next().toCharArray();
  }
  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++)
      a[i] = nl();
    return a;
  }
  private static int[][] ntable(int n, int m) {
    int[][] table = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[i][j] = ni();
      }
    }
    return table;
  }
  private static int[][] nlist(int n, int m) {
    int[][] table = new int[m][n];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[j][i] = ni();
      }
    }
    return table;
  }
  private static int ni() {
    return Integer.parseInt(next());
  }
  private static void tr(Object... o) {
    if (is != System.in)
      System.out.println(java.util.Arrays.deepToString(o));
  }
}
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