結果

問題 No.3030 ミラー・ラビン素数判定法のテスト
ユーザー viral8viral8
提出日時 2023-07-12 20:46:25
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,389 ms / 9,973 ms
コード長 9,447 bytes
コンパイル時間 3,281 ms
コンパイル使用メモリ 83,076 KB
実行使用メモリ 66,776 KB
最終ジャッジ日時 2024-09-14 09:42:39
合計ジャッジ時間 9,834 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
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 57 ms
50,408 KB
testcase_01 AC 56 ms
49,988 KB
testcase_02 AC 62 ms
50,104 KB
testcase_03 AC 79 ms
51,180 KB
testcase_04 AC 1,389 ms
66,776 KB
testcase_05 AC 949 ms
65,472 KB
testcase_06 AC 636 ms
63,836 KB
testcase_07 AC 642 ms
52,240 KB
testcase_08 AC 631 ms
51,888 KB
testcase_09 AC 1,124 ms
52,816 KB
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 #

import java.io.InputStream;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.io.IOException;
import java.math.BigInteger;
import java.awt.Point;
import java.util.*;

public final class Main {

	private static final boolean autoFlush = false;
	private static final SimpleScanner sc = new SimpleScanner( System.in );
	private static final SimplePrinter out = new SimplePrinter( System.out, autoFlush );

	public static void main ( String[] args ) {

		int n = sc.nextInt();
		while(n-->0){
			long num = sc.nextLong();
			out.print(num);
			out.println(isPrime(num)?" 1":" 0");
		}

		out.close();
	}
	public static boolean isPrime(long n){
		n = Math.abs(n);
		if(n==2)
			return true;
		if(n==1||(n&1)==0)
			return false;
		long d = n-1;
		while((d&1)==0)
			d >>= 1;
		for(long a:new long[]{2,7,61,325,9375,28178,450775,9780504,1795265022}){
			if(a>=n)
				return true;
			long t = d;
			long y = bigModPow(a,t,n);
			while(t<n-1&&y!=1&&y!=n-1){
				y = bigModPow(y,2,n);
				t <<= 1;
			}
			if(y!=n-1&&(t&1)==0)
				return false;
		}
		return true;
	}
	private static long bigModPow(long a,long b,long m){
		return BigInteger.valueOf(a).modPow(BigInteger.valueOf(b),BigInteger.valueOf(m)).longValue();
	}
}
/*


             / ̄\
            |     |
             \_/
               |
          /  ̄   ̄  \
        /    \  /    \
     /      ⌒    ⌒      \      よくぞこの提出結果を開いてくれた
     |      (__人__)      |      褒美としてオプーナを買う権利をやる
     \       `⌒´       /   ☆
      /ヽ、--ー、__, -‐ ´  \─/
    / >     ヽ▼●▼<\       ||ー、.
   /ヽ、    \ i |。| |/  ヽ (ニ、`ヽ.
  l    ヽ     l |。| | r-、y `ニ  ノ \
  l     |     |ー─ |  ̄ l   `~ヽ_ノ__
      / ̄ ̄ ̄ ̄ヽ-'ヽ--'  / オープナ  /|
     | ̄ ̄ ̄ ̄ ̄ ̄|/|    | ̄ ̄ ̄ ̄ ̄ ̄|/| ______
 / ̄オプーナ/| ̄|__」/_オープナ /| ̄|__,」__      /|
| ̄ ̄ ̄ ̄ ̄|/オープナ ̄/ ̄ ̄ ̄ ̄|/オプーナ /|   /  |
| ̄ ̄ ̄ ̄ ̄| ̄ ̄ ̄ ̄ ̄|/l ̄ ̄ ̄ ̄| ̄ ̄ ̄ ̄ ̄|/| /
| ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄|
*/

/*////////////////////////////////////////////////
	* My Library *

	@author viral
*/////////////////////////////////////////////////
// MyScanner
final class SimpleScanner {
	final private int buff_size = 1 << 12;
	private final InputStream is;
	private final byte[] buff;
	private int point, length;

	public SimpleScanner ( InputStream is ) {
		this.is = is;
		buff = new byte[buff_size];
		point = length = 0;
	}

	private void reload () {
		do {
			try {
				length = is.read( buff, point = 0, buff_size );
			} catch ( IOException e ) {
				e.printStackTrace();
				System.exit( 1 );
			}
		} while ( length == -1 );
	}

	private byte read () {
		if ( point == length ) {
			reload();
		}
		return buff[point++];
	}

	public byte nextByte () {
		byte c = read();
		while ( c <= ' ' ) {
			c = read();
		}
		return c;
	}

	public int nextInt () {
		int ans = 0;
		byte c = read();
		while ( c <= ' ' ) {
			c = read();
		}
		boolean negate = c == '-';
		if ( c == '-' ) {
			c = read();
		}
		while ( '0' <= c && c <= '9' ) {
			ans = ans * 10 + c - '0';
			c = read();
		}
		return negate ? -ans : ans;
	}

	public long nextLong () {
		long ans = 0;
		byte c = read();
		while ( c <= ' ' ) {
			c = read();
		}
		boolean negate = c == '-';
		if ( c == '-' ) {
			c = read();
		}
		while ( '0' <= c && c <= '9' ) {
			ans = ans * 10 + c - '0';
			c = read();
		}
		return negate ? -ans : ans;
	}

	public char nextChar () {
		byte c = read();
		while ( c <= ' ' ) {
			c = read();
		}
		return ( char )c;
	}

	public String next () {
		StringBuilder ans = new StringBuilder();
		byte c = read();
		while ( c <= ' ' ) {
			c = read();
		}
		while ( c > ' ' ) {
			ans.append( ( char )c );
			c = read();
		}
		return ans.toString();
	}

	public byte[] nextByte ( int n ) {
		byte[] ans = new byte[n];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextByte();
		}
		return ans;
	}

	public int[] nextInt ( int n ) {
		int[] ans = new int[n];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextInt();
		}
		return ans;
	}

	public long[] nextLong ( int n ) {
		long[] ans = new long[n];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextLong();
		}
		return ans;
	}

	public String[] next ( int n ) {
		String[] ans = new String[n];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = next();
		}
		return ans;
	}

	public byte[][] nextByte ( int n, int m ) {
		byte[][] ans = new byte[n][];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextByte( m );
		}
		return ans;
	}

	public int[][] nextInt ( int n, int m ) {
		int[][] ans = new int[n][];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextInt( m );
		}
		return ans;
	}

	public long[][] nextLong ( int n, int m ) {
		long[][] ans = new long[n][];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextLong( m );
		}
		return ans;
	}

	public String[][] next ( int n, int m ) {
		String[][] ans = new String[n][];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = next( m );
		}
		return ans;
	}

	public char[] nextCharArray () {
		return next().toCharArray();
	}

	public char[][] nextCharArray ( int n ) {
		char[][] ans = new char[n][];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextCharArray();
		}
		return ans;
	}

	public int[][] nextGraph ( int N, int M ) {
		if ( M == 0 ) {
			return new int[N + 1][0];
		}
		int[][] ans = new int[N + 1][];
		int[] count = new int[N + 1];
		int[][] path = nextInt( M, 2 );
		for ( int[] temp: path ) {
			++count[temp[0]];
			++count[temp[1]];
		}
		for ( int i = 1; i <= N; ++i ) {
			ans[i] = new int[count[i]];
		}
		for ( int[] temp: path ) {
			ans[temp[0]][--count[temp[0]]] = temp[1];
			ans[temp[1]][--count[temp[1]]] = temp[0];
		}
		ans[0] = new int[0];
		return ans;
	}

	public Point nextPoint () {
		return new Point( nextInt(), nextInt() );
	}

	public Point[] nextPoint ( int n ) {
		Point[] ans = new Point[n];
		for ( int i = 0; i < n; ++i ) {
			ans[i] = nextPoint();
		}
		return ans;
	}

	public void close () {
		try {
			is.close();
		} catch ( IOException e ) {
			e.printStackTrace();
			System.exit( 1 );
		}
	}
}

// MyPrinter
final class SimplePrinter extends PrintWriter {
	public SimplePrinter ( PrintStream os ) {
		super( os );
	}

	public SimplePrinter ( PrintStream os, boolean bool ) {
		super( os, bool );
	}

	public void println ( int[] array ) {
		println( array, ' ' );
	}

	public void println ( int[] array, String str ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( str );
			print( array[i] );
		}
		println();
	}

	public void println ( int[] array, char c ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( c );
			print( array[i] );
		}
		println();
	}

	public void println ( int[][] array ) {
		println( array, ' ' );
	}

	public void println ( int[][] arrays, String str ) {
		for ( int[] array: arrays ) {
			println( array, str );
		}
	}

	public void println ( int[][] arrays, char c ) {
		for ( int[] array: arrays ) {
			println( array, c );
		}
	}

	public void println ( long[] array ) {
		println( array, ' ' );
	}

	public void println ( long[] array, String str ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( str );
			print( array[i] );
		}
		println();
	}

	public void println ( long[] array, char c ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( c );
			print( array[i] );
		}
		println();
	}

	public void println ( long[][] array ) {
		println( array, ' ' );
	}

	public void println ( long[][] arrays, String str ) {
		for ( long[] array: arrays ) {
			println( array, str );
		}
	}

	public void println ( long[][] arrays, char c ) {
		for ( long[] array: arrays ) {
			println( array, c );
		}
	}

	public void println ( char[] cs, String str ) {
		print( cs[0] );
		for ( int i = 1; i < cs.length; ++i ) {
			print( str );
			print( cs[i] );
		}
		println();
	}

	public void println ( char[] cs, char c ) {
		print( cs[0] );
		for ( int i = 1; i < cs.length; ++i ) {
			print( c );
			print( cs[i] );
		}
		println();
	}

	public void println ( char[][] cs ) {
		for ( char[] c: cs ) {
			println( c );
		}
	}

	public void println ( char[][] cs, String str ) {
		print( cs[0] );
		for ( int i = 1; i < cs.length; ++i ) {
			print( str );
			print( cs[i] );
		}
		println();
	}

	public void println ( char[][] cs, char c ) {
		print( cs[0] );
		for ( int i = 1; i < cs.length; ++i ) {
			print( c );
			print( cs[i] );
		}
		println();
	}

	public <E> void println ( E[] array ) {
		println( array, ' ' );
	}

	public <E> void println ( E[] array, String str ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( str );
			print( array[i] );
		}
		println();
	}

	public <E> void println ( E[] array, char c ) {
		print( array[0] );
		for ( int i = 1; i < array.length; ++i ) {
			print( c );
			print( array[i] );
		}
		println();
	}

	public <E> void println ( E[][] arrays ) {
		println( arrays, ' ' );
	}

	public <E> void println ( E[][] arrays, String str ) {
		for ( E[] array: arrays ) {
			println( array, str );
		}
	}

	public <E> void println ( E[][] arrays, char c ) {
		for ( E[] array: arrays ) {
			println( array, c );
		}
	}
}
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