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 uwiuwi
提出日時 2018-03-02 17:18:30
言語 Java21
(openjdk 21)
結果
AC  
実行時間 4,994 ms / 9,973 ms
コード長 4,088 bytes
コンパイル時間 4,569 ms
コンパイル使用メモリ 88,956 KB
実行使用メモリ 42,216 KB
最終ジャッジ日時 2024-11-16 23:07:41
合計ジャッジ時間 18,368 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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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 85 ms
38,144 KB
testcase_01 AC 85 ms
38,288 KB
testcase_02 AC 87 ms
38,176 KB
testcase_03 AC 93 ms
38,184 KB
testcase_04 AC 2,473 ms
42,216 KB
testcase_05 AC 2,698 ms
41,988 KB
testcase_06 AC 873 ms
41,972 KB
testcase_07 AC 834 ms
42,100 KB
testcase_08 AC 844 ms
41,992 KB
testcase_09 AC 4,994 ms
42,168 KB
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ソースコード

diff # 

package etc;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class N3030 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		for(int T = ni();T > 0;T--){
			long n = nl();
			out.println(n + " " + (doMillorRabin(n) ? 1 : 0));
		}
	}
	
	public static boolean doMillorRabin(long n)
	{
		if(n <= 1)return false;
//		int[] P = {2, 7, 61}; // n<4759123141
		int[] P = {2,3,5,7,11,13,17,19,23,29,31,37}; // n=long
		int s = Long.numberOfTrailingZeros(n-1);
		long d = n-1>>s;
		outer:
		for(int a : P){
			if(a >= n)continue;
			
			long mul = a;
			long ad = 1;
			for(long e = d;e > 0;e>>>=1){
				if((e&1)==1)ad = mul(ad, mul, n);
				mul = mul(mul, mul, n);
			}
			if(ad == 1)continue;
			
			for(int r = 0;r < s;r++){
				if(ad == n-1)continue outer;
				ad = mul(ad, ad, n);
			}
			return false;
		}
		return true;
	}
	
	public static long mul(long a, long b, long mod)
	{
//		a %= mod; if(a < 0)a += mod;
//		b %= mod; if(b < 0)b += mod;
		long ret = 0;
		int x = 63-Long.numberOfLeadingZeros(b);
		for(;x >= 0;x--){
			ret += ret;
			if(Long.compareUnsigned(ret, mod) >= 0)ret -= mod;
			if(b<<~x<0){
				ret += a;
				if(Long.compareUnsigned(ret, mod) >= 0)ret -= mod;
			}
		}
		return ret;
	}

	
	void run() throws Exception
	{
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//		Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
//			@Override
//			public void run() {
//				long s = System.currentTimeMillis();
//				solve();
//				out.flush();
//				if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//			}
//		};
//		t.start();
//		t.join();
	}
	
	public static void main(String[] args) throws Exception { new N3030().run(); }
	
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
	
	private int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private double nd() { return Double.parseDouble(ns()); }
	private char nc() { return (char)skip(); }
	
	private String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		return a;
	}
	
	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private int[][] nmi(int n, int m) {
		int[][] map = new int[n][];
		for(int i = 0;i < n;i++)map[i] = na(m);
		return map;
	}
	
	private int ni() { return (int)nl(); }
	
	private long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}
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