結果

問題 No.793 うし数列 2
ユーザー GrenacheGrenache
提出日時 2019-04-27 23:41:17
言語 Java
(openjdk 23)
結果
AC  
実行時間 142 ms / 2,000 ms
コード長 2,068 bytes
コンパイル時間 3,740 ms
コンパイル使用メモリ 78,092 KB
実行使用メモリ 41,724 KB
最終ジャッジ日時 2024-11-30 02:08:35
合計ジャッジ時間 7,765 ms
ジャッジサーバーID
(参考情報)
judge1 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 21
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

import java.io.*;
import java.util.Scanner;
public class Main_yukicoder793 {
private static Scanner sc;
private static Printer pr;
private static void solve() {
final int MOD = 1_000_000_007;
long n = sc.nextLong();
int[] a = {10, 1};
int[][] x = {
{10, 0},
{1, 0},
};
long ans = f(x, a, n, MOD);
int[] b = {3, 0, 1};
int[][] xx = {
{10, 0, 3},
{0, 10, 3},
{0, 0, 1},
};
ans += f(xx, b, n, MOD);
ans %= MOD;
pr.println(ans);
}
private static long f(int[][] x, int[] a, long n, int MOD) {
long loop = n;
while (loop > 0) {
if (loop % 2 == 1) {
a = Matrix.mul(x, a, MOD);
}
x = Matrix.mul(x, x, MOD);
loop /= 2;
}
return a[1];
}
static class Matrix {
static int[] mul(int[][] a, int[] x, int MOD) {
int m = a.length;
int n = a[0].length;
if (n != x.length) {
throw new IllegalArgumentException();
}
int[] y = new int[m];
for (int i = 0; i < m; i++) {
long tmp = 0;
for (int j = 0; j < n; j++) {
tmp += (long)a[i][j] * x[j];
tmp %= MOD;
}
y[i] = (int)tmp;
}
return y;
}
static int[][] mul(int[][] a, int[][] a2, int MOD) {
int m = a.length;
int n = a2[0].length;
int l = a[0].length;
if (l != a2.length) {
throw new IllegalArgumentException();
}
int[][] y = new int[m][n];
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
long tmp = 0;
for (int k = 0; k < l; k++) {
tmp += (long)a[i][k] * a2[k][j];
tmp %= MOD;
}
y[i][j] = (int)tmp;
}
}
return y;
}
static int[][] getI(int n) {
int[][] mat = new int[n][];
for (int i = 0; i < n; i++) {
mat[i] = new int[n];
mat[i][i] = 1;
}
return mat;
}
}
// ---------------------------------------------------
public static void main(String[] args) {
sc = new Scanner(System.in);
pr = new Printer(System.out);
solve();
pr.close();
sc.close();
}
static class Printer extends PrintWriter {
Printer(OutputStream out) {
super(out);
}
}
}
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