結果
問題 | No.194 フィボナッチ数列の理解(1) |
ユーザー | Grenache |
提出日時 | 2016-06-08 22:45:44 |
言語 | Java21 (openjdk 21) |
結果 |
AC
|
実行時間 | 193 ms / 5,000 ms |
コード長 | 3,021 bytes |
コンパイル時間 | 4,579 ms |
コンパイル使用メモリ | 85,968 KB |
実行使用メモリ | 52,188 KB |
最終ジャッジ日時 | 2024-04-17 10:58:25 |
合計ジャッジ時間 | 11,104 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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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 | 115 ms
41,180 KB |
testcase_01 | AC | 125 ms
41,052 KB |
testcase_02 | AC | 162 ms
41,364 KB |
testcase_03 | AC | 124 ms
41,284 KB |
testcase_04 | AC | 146 ms
41,376 KB |
testcase_05 | AC | 141 ms
41,680 KB |
testcase_06 | AC | 146 ms
41,720 KB |
testcase_07 | AC | 156 ms
41,580 KB |
testcase_08 | AC | 120 ms
41,364 KB |
testcase_09 | AC | 148 ms
41,796 KB |
testcase_10 | AC | 126 ms
41,488 KB |
testcase_11 | AC | 138 ms
41,492 KB |
testcase_12 | AC | 144 ms
41,432 KB |
testcase_13 | AC | 129 ms
41,520 KB |
testcase_14 | AC | 122 ms
41,316 KB |
testcase_15 | AC | 162 ms
41,420 KB |
testcase_16 | AC | 155 ms
42,116 KB |
testcase_17 | AC | 127 ms
41,268 KB |
testcase_18 | AC | 158 ms
41,408 KB |
testcase_19 | AC | 162 ms
41,320 KB |
testcase_20 | AC | 158 ms
49,228 KB |
testcase_21 | AC | 193 ms
50,272 KB |
testcase_22 | AC | 151 ms
49,100 KB |
testcase_23 | AC | 158 ms
42,384 KB |
testcase_24 | AC | 173 ms
45,752 KB |
testcase_25 | AC | 170 ms
48,672 KB |
testcase_26 | AC | 176 ms
48,384 KB |
testcase_27 | AC | 148 ms
45,812 KB |
testcase_28 | AC | 154 ms
42,712 KB |
testcase_29 | AC | 170 ms
52,188 KB |
testcase_30 | AC | 161 ms
41,568 KB |
testcase_31 | AC | 118 ms
41,220 KB |
testcase_32 | AC | 140 ms
41,680 KB |
testcase_33 | AC | 145 ms
41,500 KB |
testcase_34 | AC | 140 ms
41,516 KB |
testcase_35 | AC | 142 ms
41,308 KB |
testcase_36 | AC | 157 ms
41,676 KB |
testcase_37 | AC | 126 ms
41,412 KB |
testcase_38 | AC | 162 ms
41,312 KB |
testcase_39 | AC | 145 ms
41,580 KB |
ソースコード
import java.io.*; import java.util.*; public class Main_yukicoder194 { public static void main(String[] args) { Scanner sc = new Scanner(System.in); Printer pr = new Printer(System.out); int n = sc.nextInt(); long k = sc.nextLong(); if (k <= 1_000_000) { int[] f = new int[(int)k + 1]; int[] s = new int[(int)k + 1]; for (int i = 1; i <= k; i++) { if (i <= n) { f[i] = sc.nextInt(); } else { f[i] = (s[i - 1] - s[i - n - 1] + MOD) % MOD; } s[i] = (s[i - 1] + f[i]) % MOD; } pr.printf("%d %d\n", f[(int)k], s[(int)k]); } else { int[] a = new int[n + 1]; for (int i = 0; i < n; i++) { a[i] = sc.nextInt(); a[n] += a[i]; } int[][] x = new int[n + 1][n + 1]; for (int i = 0; i < n - 1; i++) { x[i][i + 1] = 1; } Arrays.fill(x[n - 1], 1); x[n - 1][n] = 0; Arrays.fill(x[n], 1); long loop = k - n; while (loop > 0) { if (loop % 2 == 1) { a = Matrix.mul(x, a); } x = Matrix.mul(x, x); loop /= 2; } pr.printf("%d %d\n", a[n - 1], a[n]); } pr.close(); sc.close(); } private static final int MOD = 1_000_000_007; private static class Matrix { static int[] mul(int[][] x, int[] a) { int n = a.length; int[] b = new int[n]; for (int i = 0; i < n; i++) { long tmp = 0; for (int j = 0; j < n; j++) { tmp += (long)x[i][j] * a[j]; tmp %= MOD; } b[i] = (int)tmp; } return b; } static int[][] mul(int[][] x, int[][] x2) { int n = x[0].length; int[][] b = new int[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { long tmp = 0; for (int k = 0; k < n; k++) { tmp += (long)x[i][k] * x2[k][j]; tmp %= MOD; } b[i][j] = (int)tmp; } } return b; } } @SuppressWarnings("unused") private static class Scanner { BufferedReader br; Iterator<String> it; Scanner (InputStream in) { br = new BufferedReader(new InputStreamReader(in)); } String next() throws RuntimeException { try { if (it == null || !it.hasNext()) { it = Arrays.asList(br.readLine().split(" ")).iterator(); } return it.next(); } catch (IOException e) { throw new IllegalStateException(); } } int nextInt() throws RuntimeException { return Integer.parseInt(next()); } long nextLong() throws RuntimeException { return Long.parseLong(next()); } float nextFloat() throws RuntimeException { return Float.parseFloat(next()); } double nextDouble() throws RuntimeException { return Double.parseDouble(next()); } void close() { try { br.close(); } catch (IOException e) { // throw new IllegalStateException(); } } } private static class Printer extends PrintWriter { Printer(PrintStream out) { super(out); } } }