結果

問題 No.1112 冥界の音楽
コンテスト
ユーザー 37zigen
提出日時 2019-11-24 02:49:01
言語 Java
(openjdk 23)
結果
AC  
実行時間 121 ms / 2,000 ms
コード長 3,865 bytes
コンパイル時間 2,443 ms
コンパイル使用メモリ 78,540 KB
実行使用メモリ 39,232 KB
最終ジャッジ日時 2024-10-11 21:17:58
合計ジャッジ時間 6,080 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 34
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 # 

// 制約侵害を確認

import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.HashSet;
import java.util.NoSuchElementException;

public class Main {

	final long MOD = (long) 1e9 + 7;

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

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

	// O(K^6 log(N))
	void run() {
		FastScanner sc = new FastScanner();
		int K = sc.nextInt();
		int M = sc.nextInt();
		long N = sc.nextLong();
		if (!(1 <= K && K <= 6 && 1 <= M && M <= K * K * K && 3 <= N && N <= 1e18))
			throw new AssertionError();
		int[] P = new int[M];
		int[] Q = new int[M];
		int[] R = new int[M];
		long[][] mat = new long[K * K][K * K];
		HashSet<Long> set = new HashSet<>();
		for (int i = 0; i < M; ++i) {
			P[i] = sc.nextInt();
			Q[i] = sc.nextInt();
			R[i] = sc.nextInt();
			if (!(1 <= P[i] && P[i] <= K && 1 <= Q[i] && Q[i] <= K && 1 <= R[i] && R[i] <= K))
				throw new AssertionError();
			--P[i];
			--Q[i];
			--R[i];
			long key = ((long) P[i] << 20) | ((long) Q[i] << 10) | ((long) R[i]);
			if (set.contains(key))
				throw new AssertionError();
			else
				set.add(key);
			mat[K * R[i] + Q[i]][K * Q[i] + P[i]] = 1;
		}
		long[][] vec = new long[K * K][1];
		for (int i = 0; i < K; ++i) {
			vec[K * i + 0][0] = 1;
		}
		vec = mul(pow(mat, N - 2), vec);
		long ans = 0;
		for (int i = 0; i < K; ++i) {
			ans += vec[K * 0 + i][0];
			ans %= MOD;
		}
		System.out.println(ans);
	}

	public static void main(String[] args) throws FileNotFoundException {
		new Main().run();
	}

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

class FastScanner {
	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 static boolean isPrintableChar(int c) {
		return 33 <= c && c <= 126;
	}

	public boolean hasNext() {
		while (hasNextByte() && !isPrintableChar(buffer[ptr]))
			ptr++;
		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 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();
		}
	}

	public int nextInt() {
		long nl = nextLong();
		if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
			throw new NumberFormatException();
		return (int) nl;
	}

	public double nextDouble() {
		return Double.parseDouble(next());
	}
}
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