結果

問題 No.147 試験監督(2)
ユーザー ぴろずぴろず
提出日時 2015-02-09 00:25:13
言語 Java21
(openjdk 21)
結果
WA  
実行時間 -
コード長 7,747 bytes
コンパイル時間 3,858 ms
コンパイル使用メモリ 78,428 KB
実行使用メモリ 62,148 KB
最終ジャッジ日時 2023-09-05 13:25:20
合計ジャッジ時間 8,217 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
このコードへのチャレンジ
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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 WA -
testcase_01 WA -
testcase_02 WA -
testcase_03 AC 46 ms
49,708 KB
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ソースコード

diff #

package no147;

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;

public class Main {
	static int MAX = 80000;
	static long MOD = 1000000007;
	static BigInteger MODBI = BigInteger.valueOf(MOD);
	public static void main(String[] args) {
		IO io = new IO();

		int n = io.nextInt();
		long ans = 1;
		for(int i=0;i<n;i++) {
			long c = io.nextLong();
			long d = new BigInteger(io.next()).mod(MODBI).longValue();
			long c2 = fibmod(c + 2, MOD);
			ans = ans * modpow(c2,d,MOD) % MOD;
		}
		System.out.println(ans);
	}

	public static long modpow(long x,long n,long mod) {
		long res = 1;
		while(n > 0) {
			if ((n & 1) > 0) {
				res = (res * x) % mod;
			}
			x = (x * x) % mod;
			n/=2;
		}
		return res;
	}

	static long[][] fm = {{1,1},{1,0}};
	static MatrixMod f = new MatrixMod(fm);
	public static long fibmod(long n,long mod) {
		return MatrixMod.pow(f, n).a[0][1];
	}
}

class MatrixMod {
	public static final long MOD = Main.MOD;
	public long[][] a;
	public MatrixMod(long[][] a) {
		if (a.length == 0 || a[0].length == 0) {
			throw new RuntimeException("Unexpected size matrix");
		}
		this.a = a;
	}
	public MatrixMod(long[] vector) {
		this(new long[vector.length][1]);
		for(int i=0;i<vector.length;i++) {
			a[i][0] = vector[i];
		}
	}
	public MatrixMod(int rows,int columns) {
		this(new long[rows][columns]);
	}
	public MatrixMod(int idMatrixSize) {
		this(new long[idMatrixSize][idMatrixSize]);
		for(int i=0;i<idMatrixSize;i++) {
			a[i][i] = 1;
		}
	}
	public MatrixMod set(MatrixMod A) {
		this.a = A.a;
		return this;
	}
	public int rows() {
		return a.length;
	}
	public int columns() {
		return a[0].length;
	}
	public static MatrixMod add(MatrixMod A,MatrixMod B) {
		if (A.rows() != B.rows() || A.columns() != B.columns()) {
			throw new RuntimeException("Undefined addition");
		}
		MatrixMod C = new MatrixMod(A.rows(),A.columns());
		for(int i=0;i<A.rows();i++) {
			for(int j=0;j<A.columns();j++) {
				C.a[i][j] = (A.a[i][j] + B.a[i][j]) % MOD;
			}
		}
		return C;
	}
	public static MatrixMod multiply(MatrixMod A,long c) {
		for(int i=0;i<A.rows();i++) {
			for(int j=0;j<A.columns();j++) {
				A.a[i][j] = (A.a[i][j] * c) % MOD;
			}
		}
		return A;
	}
	public static MatrixMod multiply(MatrixMod A,MatrixMod B) {
		if (A.columns() != B.rows()) {
			throw new RuntimeException("Undefined multiplicaiton");
		}
		MatrixMod C = new MatrixMod(A.rows(),B.columns());
		for(int i=0;i<A.rows();i++) {
			for(int j=0;j<B.columns();j++) {
				for(int k=0;k<A.columns();k++) {
					C.a[i][j] = (C.a[i][j] + A.a[i][k] * B.a[k][j]) % MOD;
				}
			}
		}
		return C;
	}
	public static MatrixMod pow(MatrixMod A,long n) {
		if (A.rows() != A.columns()) {
			throw new RuntimeException("Undefined multiplicaiton");
		}
		MatrixMod M = A.clone();
		MatrixMod X = new MatrixMod(A.rows());
		while(n>0) {
			if (n%2==1) {
				X.multiplyRightToThis(M);
			}
			n/=2;
			if (n>0) {
				M.multiplyRightToThis(M);
			}
		}
		return X;
	}
	public MatrixMod addToThis(MatrixMod B) {
		set(add(this,B));
		return this;
	}
	public MatrixMod multiplyThis(long c) {
		set(multiply(this, c));
		return this;
	}
	public MatrixMod multiplyRightToThis(MatrixMod B) {
		set(multiply(this,B));
		return this;
	}
	public MatrixMod powThis(int n) {
		set(pow(this, n));
		return this;
	}
	public MatrixMod clone() {
		MatrixMod A = new MatrixMod(rows(), columns());
		for(int i=0;i<rows();i++) {
			for(int j=0;j<columns();j++) {
				A.a[i][j] = a[i][j];
			}
		}
		return A;
	}
	public int hashCode() {
		int hashcode = 0;
		for(int i=0;i<rows();i++) {
			hashcode ^= Arrays.hashCode(a[i]);
		}
		return hashcode;
	}
	public boolean equals(Object o) {
		if (!(o instanceof MatrixMod)) {
			return false;
		}
		MatrixMod A = (MatrixMod) o;
		if (this.rows() != A.rows() || this.columns() != A.columns()) {
			return false;
		}
		for(int i=0;i<A.rows();i++) {
			if (!Arrays.equals(a[i], A.a[i])) {
				return false;
			}
		}
		return true;
	}
	public String toString() {
		return Arrays.deepToString(a);
	}
}

class IO extends PrintWriter {
	private final InputStream in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;

	public IO() { this(System.in);}
	public IO(InputStream source) { super(System.out); this.in = source;}
	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;}
	private static boolean isNewLine(int c) { return c == '\n' || c == '\r';}
	private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
	private void skipNewLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++;}
	public boolean hasNext() { skipUnprintable(); return hasNextByte();}
	public boolean hasNextLine() { skipNewLine(); 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 char[] nextCharArray(int len) {
		char[] s = new char[len];
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		int i = 0;
		int b = readByte();
		while(isPrintableChar(b)) {
			if (i == len) {
				throw new InputMismatchException();
			}
			s[i++] = (char) b;
			b = readByte();
		}
		return s;
	}
	public String nextLine() {
		if (!hasNextLine()) {
			throw new NoSuchElementException();
		}
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(!isNewLine(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 char nextChar() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		return (char) readByte();
	}
	public double nextDouble() { return Double.parseDouble(next());}
	public int[] arrayInt(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}
	public long[] arrayLong(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}
	public double[] arrayDouble(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}
	public void arrayInt(int[]... a) {for(int i=0;i<a[0].length;i++) for(int j=0;j<a.length;j++) a[j][i] = nextInt();}
	public int[][] matrixInt(int n,int m) { int[][] a = new int[n][m]; for(int i=0;i<n;i++) a[i] = arrayInt(m); return a;}
	public char[][] charMap(int n,int m) { char[][] a = new char[n][m]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}
	public void close() {
		super.close();
		try {
			in.close();
		} catch (IOException e) {}
	}
}
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