結果
問題 | No.3037 Restricted Lucas (Hard) |
ユーザー | tanzaku |
提出日時 | 2018-04-01 23:04:33 |
言語 | Java21 (openjdk 21) |
結果 |
AC
|
実行時間 | 177 ms / 2,000 ms |
コード長 | 2,749 bytes |
コンパイル時間 | 2,529 ms |
コンパイル使用メモリ | 79,132 KB |
実行使用メモリ | 42,632 KB |
最終ジャッジ日時 | 2024-06-26 06:05:10 |
合計ジャッジ時間 | 4,251 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
(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 | 140 ms
41,076 KB |
testcase_01 | AC | 177 ms
42,368 KB |
testcase_02 | AC | 168 ms
42,544 KB |
testcase_03 | AC | 177 ms
42,600 KB |
testcase_04 | AC | 177 ms
42,580 KB |
testcase_05 | AC | 166 ms
42,632 KB |
testcase_06 | AC | 164 ms
42,344 KB |
ソースコード
import java.io.PrintWriter; import java.math.BigInteger; import java.util.Arrays; import java.util.Scanner; public class Main { void solveTestcase(final Scanner in, final PrintWriter out) { long n = in.nextLong(); out.println(fib(n, mod)); } static int zero; static int one; static BigInteger mod; static { one = Math.abs(~zero); mod = BigInteger.TEN.pow(BigInteger.TEN.subtract(BigInteger.ONE).intValue()); mod = mod.add(BigInteger.TEN).subtract(BigInteger.ONE).subtract(BigInteger.ONE).subtract(BigInteger.ONE); } void solve() { try (final PrintWriter out = new PrintWriter(System.out)) { try (final Scanner in = new Scanner(System.in)) { int t = in.nextInt(); while (t > zero) { t = dec(t); solveTestcase(in, out); } } } } public static void main(String[] args) { new Main().solve(); } static BigInteger[][] mulmat(BigInteger[][] a, BigInteger[][] b, BigInteger mod) { final int n = a.length; final int v = b.length; final int m = b[zero].length; BigInteger[][] res = new BigInteger[n][m]; for(int i = zero; i < n; i = inc(i)) for(int j = zero; j < m; j = inc(j)) res[i][j] = BigInteger.ZERO; for(int i = zero; i < n; i = inc(i)) for(int k = zero; k < v; k = inc(k)) { final BigInteger aa = a[i][k]; for(int j = zero; j < m; j = inc(j)) { res[i][j] = res[i][j].add(aa.multiply(b[k][j])); } } for(int i = zero; i < n; i = inc(i)) for(int j = zero; j < m; j = inc(j)) res[i][j] = res[i][j].mod(mod); return res; } static int inc(int x) { return BigInteger.valueOf(x).add(BigInteger.ONE).intValue(); } static int dec(int x) { return BigInteger.valueOf(x).subtract(BigInteger.ONE).intValue(); } static BigInteger[][] powmat(long r, BigInteger mod, BigInteger[][] mat) { final int n = mat.length; BigInteger[][] x = new BigInteger[n][n]; for(int i = zero; i < n; i = inc(i)) { for (int j = zero; j < n; j = inc(j)) { x[i][j] = BigInteger.ZERO; } } for(int i = zero; i < n; i = inc(i)) { x[i][i] = BigInteger.ONE; } for(;r > zero; r >>>= BigInteger.ONE.intValue()) { if((r&one) == one) { x = mulmat(x, mat, mod); } mat = mulmat(mat, mat, mod); } return x; } static BigInteger fib(long n, BigInteger mod) { BigInteger[][] mat = new BigInteger[][]{ new BigInteger[]{BigInteger.ONE, BigInteger.ONE,}, new BigInteger[]{BigInteger.ONE, BigInteger.ZERO,}, }; BigInteger[][] matmat = new BigInteger[][]{ new BigInteger[]{BigInteger.ONE,}, new BigInteger[]{BigInteger.valueOf(inc(one)),}, }; return mulmat(powmat(n, mod, mat), matmat, mod)[one][zero]; } static void dump(Object...objects) { System.err.println(Arrays.deepToString(objects)); } }