結果

問題 No.579 3 x N グリッド上のサイクルのサイズ(hard)
ユーザー 37zigen37zigen
提出日時 2017-10-22 20:22:31
言語 Java21
(openjdk 21)
結果
WA  
実行時間 -
コード長 4,761 bytes
コンパイル時間 2,545 ms
コンパイル使用メモリ 79,072 KB
実行使用メモリ 38,200 KB
最終ジャッジ日時 2024-11-21 13:53:55
合計ジャッジ時間 9,342 ms
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
(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 53 ms
36,736 KB
testcase_01 AC 53 ms
36,572 KB
testcase_02 AC 54 ms
36,668 KB
testcase_03 AC 54 ms
36,740 KB
testcase_04 AC 54 ms
36,176 KB
testcase_05 AC 54 ms
36,372 KB
testcase_06 AC 53 ms
36,900 KB
testcase_07 AC 53 ms
36,656 KB
testcase_08 AC 54 ms
36,208 KB
testcase_09 AC 55 ms
36,764 KB
testcase_10 AC 54 ms
36,476 KB
testcase_11 AC 55 ms
36,536 KB
testcase_12 AC 54 ms
36,348 KB
testcase_13 AC 55 ms
36,236 KB
testcase_14 AC 53 ms
36,652 KB
testcase_15 AC 54 ms
36,748 KB
testcase_16 AC 54 ms
36,520 KB
testcase_17 AC 55 ms
36,228 KB
testcase_18 AC 55 ms
36,636 KB
testcase_19 AC 55 ms
36,800 KB
testcase_20 AC 64 ms
36,728 KB
testcase_21 AC 67 ms
37,168 KB
testcase_22 AC 63 ms
36,780 KB
testcase_23 AC 67 ms
37,008 KB
testcase_24 AC 67 ms
36,792 KB
testcase_25 AC 67 ms
36,988 KB
testcase_26 AC 63 ms
37,020 KB
testcase_27 AC 70 ms
37,056 KB
testcase_28 AC 67 ms
36,824 KB
testcase_29 AC 74 ms
36,936 KB
testcase_30 AC 68 ms
37,096 KB
testcase_31 AC 67 ms
36,628 KB
testcase_32 AC 75 ms
36,884 KB
testcase_33 AC 76 ms
37,408 KB
testcase_34 AC 63 ms
36,776 KB
testcase_35 AC 68 ms
37,152 KB
testcase_36 AC 63 ms
36,900 KB
testcase_37 AC 68 ms
36,764 KB
testcase_38 AC 62 ms
37,012 KB
testcase_39 AC 68 ms
36,936 KB
testcase_40 AC 85 ms
37,724 KB
testcase_41 AC 85 ms
37,704 KB
testcase_42 AC 85 ms
37,628 KB
testcase_43 AC 86 ms
37,660 KB
testcase_44 AC 86 ms
37,956 KB
testcase_45 AC 87 ms
37,776 KB
testcase_46 AC 86 ms
37,920 KB
testcase_47 AC 86 ms
37,612 KB
testcase_48 AC 87 ms
37,820 KB
testcase_49 AC 87 ms
37,856 KB
testcase_50 AC 86 ms
37,524 KB
testcase_51 AC 87 ms
38,200 KB
testcase_52 AC 86 ms
37,916 KB
testcase_53 AC 88 ms
37,928 KB
testcase_54 AC 88 ms
37,812 KB
testcase_55 AC 87 ms
37,616 KB
testcase_56 AC 86 ms
37,684 KB
testcase_57 AC 87 ms
37,804 KB
testcase_58 AC 85 ms
37,920 KB
testcase_59 AC 86 ms
37,492 KB
testcase_60 WA -
testcase_61 WA -
testcase_62 WA -
testcase_63 WA -
testcase_64 WA -
testcase_65 WA -
testcase_66 WA -
testcase_67 WA -
testcase_68 WA -
testcase_69 WA -
testcase_70 WA -
testcase_71 WA -
testcase_72 WA -
testcase_73 WA -
testcase_74 WA -
testcase_75 WA -
testcase_76 WA -
testcase_77 WA -
testcase_78 WA -
testcase_79 WA -
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ソースコード

diff #

import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.NoSuchElementException;

public class Main {
	public static void main(String[] args) {
		// long t = System.currentTimeMillis();
		new Main().run();
		// System.err.println(System.currentTimeMillis() - t);
	}

	final long MOD = 1_000_000_000 + 7;

	void run() {
		Scanner sc = new Scanner();
		int n = sc.nextInt();
		String[] s = new String[] { "0000000000", "0034534306", "1023400005", "2032334000", "3043243450", "1003423000",
				"2004332300", "1000403205", "2030000340", "0000300004" };
		long[][] B = new long[10][10];
		long[][] A = new long[10][10];
		for (int i = 0; i < 10; ++i) {
			for (int j = 0; j < 10; ++j) {
				B[i][j] = (int) (s[i].charAt(j) - '0');
				if (B[i][j] > 0)
					++A[i][j];
			}
		}
		++A[0][0];
		++A[1][1];

		long[][] mat = new long[20][20];
		long[][] mat2 = new long[20][10];
		long[][] mat3 = new long[10][10];
		for (int i = 0; i < 10; ++i) {
			mat2[i][i] = 1;
			for (int j = 0; j < 10; ++j) {
				mat[i][j] = A[i][j];
				mat[i + 10][j + 10] = A[i][j];
				mat[i + 10][j] = B[i][j];
			}
		}
		mat = pow(mat, n + 1);
		mat = mul(mat, mat2);

		for (int i = 0; i < 10; ++i) {
			for (int j = 0; j < 10; ++j) {
				mat3[i][j] = mat[i + 10][j];
			}
		}

		long[][] v = new long[10][1];
		v[0][0] = 1;
		v = mul(mat3, v);
		System.out.println(v[1][0]);
	}

	long[][] pow(long[][] a, long n) {
		long[][] ret = new long[a.length][a.length];
		for (int i = 0; i < ret.length; ++i)
			ret[i][i] = 1;
		long[][] p = new long[a.length][a.length];
		for (int i = 0; i < a.length; ++i) {
			for (int j = 0; j < a[i].length; ++j) {
				p[i][j] = a[i][j];
			}
		}
		for (; n > 0; n >>= 1, p = mul(p, p)) {
			if (n % 2 == 1)
				ret = mul(ret, p);
		}
		return ret;
	}

	long[][] mul(long[][] a, long[][] b) {
		long[][] ret = new long[a.length][b[0].length];
		for (int i = 0; i < a.length; ++i) {
			for (int j = 0; j < b[i].length; ++j) {
				for (int k = 0; k < a[i].length; ++k) {
					ret[i][j] = (ret[i][j] + a[i][k] * b[k][j] % MOD) % MOD;
				}
			}
		}
		return ret;
	}

	long[][] add(long[][] a, long[][] b) {
		if (a.length != b.length || a[0].length != b[0].length)
			throw new AssertionError();
		long[][] ret = new long[a.length][a[0].length];
		for (int i = 0; i < a.length; ++i) {
			for (int j = 0; j < a[i].length; ++j) {
				ret[i][j] = (a[i][j] + b[i][j]) % MOD;
			}
		}
		return ret;
	}

	static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

	class Scanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private boolean isPrintableChar(int c) {
			return 33 <= c && c <= 126;
		}

		private void skipUnprintable() {
			while (hasNextByte() && !isPrintableChar(buffer[ptr]))
				ptr++;
		}

		public boolean hasNext() {
			skipUnprintable();
			return hasNextByte();
		}

		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (isPrintableChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}

		public int nextInt() {
			if (!hasNext())
				throw new NoSuchElementException();
			int n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}

		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			long n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}
	}
}
0