結果
問題 | No.534 フィボナッチフィボナッチ数 |
ユーザー |
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提出日時 | 2023-07-28 10:06:10 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 59 ms / 2,000 ms |
コード長 | 3,578 bytes |
コンパイル時間 | 2,631 ms |
コンパイル使用メモリ | 92,172 KB |
実行使用メモリ | 37,280 KB |
最終ジャッジ日時 | 2024-10-05 21:32:29 |
合計ジャッジ時間 | 6,219 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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ファイルパターン | 結果 |
---|---|
other | AC * 42 |
ソースコード
import java.io.*;import java.util.*;import java.util.stream.*;public class Main {static final int MOD1 = 1000000007;static final int MOD2 = 2000000016;static HashMap<Integer, Integer> dp = new HashMap<>();public static void main(String[] args) throws Exception {Scanner sc = new Scanner();long n = sc.nextLong();long[][][] matrix2 = new long[60][2][2];matrix2[0] = new long[][]{{0, 1}, {1, 1}};for (int i = 1; i < 60; i++) {for (int a = 0; a < 2; a++) {for (int b = 0; b < 2; b++) {for (int c = 0; c < 2; c++) {matrix2[i][a][c] += matrix2[i - 1][a][b] * matrix2[i - 1][b][c] % MOD2;matrix2[i][a][c] %= MOD2;}}}}long[] ans2 = new long[]{0, 1};for (int i = 59; i >= 0; i--) {if (n < (1L << i)) {continue;}n -= (1L << i);long[] next = new long[2];for (int a = 0; a < 2; a++) {for (int b = 0; b < 2; b++) {next[a] += matrix2[i][a][b] * ans2[b] % MOD2;next[a] %= MOD2;}}ans2 = next;}long k = ans2[0];long[][][] matrix1 = new long[40][2][2];matrix1[0] = new long[][]{{0, 1}, {1, 1}};for (int i = 1; i < 40; i++) {for (int a = 0; a < 2; a++) {for (int b = 0; b < 2; b++) {for (int c = 0; c < 2; c++) {matrix1[i][a][c] += matrix1[i - 1][a][b] * matrix1[i - 1][b][c] % MOD1;matrix1[i][a][c] %= MOD1;}}}}long[] ans1 = new long[]{0, 1};for (int i = 39; i >= 0; i--) {if (k < (1L << i)) {continue;}k -= (1L << i);long[] next = new long[2];for (int a = 0; a < 2; a++) {for (int b = 0; b < 2; b++) {next[a] += matrix1[i][a][b] * ans1[b] % MOD1;next[a] %= MOD1;}}ans1 = next;}System.out.println(ans1[0]);}}class Utilities {static String arrayToLineString(Object[] arr) {return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));}static String arrayToLineString(int[] arr) {return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));}}class Scanner {BufferedReader br = new BufferedReader(new InputStreamReader(System.in));StringTokenizer st = new StringTokenizer("");StringBuilder sb = new StringBuilder();public Scanner() throws Exception {}public int nextInt() throws Exception {return Integer.parseInt(next());}public long nextLong() throws Exception {return Long.parseLong(next());}public double nextDouble() throws Exception {return Double.parseDouble(next());}public int[] nextIntArray() throws Exception {return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();}public String next() throws Exception {while (!st.hasMoreTokens()) {st = new StringTokenizer(br.readLine());}return st.nextToken();}}