結果

問題 No.308 素数は通れません
ユーザー threepipes_sthreepipes_s
提出日時 2015-12-05 10:10:33
言語 Java21
(openjdk 21)
結果
AC  
実行時間 91 ms / 1,000 ms
コード長 4,183 bytes
コンパイル時間 2,572 ms
コンパイル使用メモリ 77,444 KB
実行使用メモリ 53,524 KB
最終ジャッジ日時 2023-08-18 13:22:17
合計ジャッジ時間 10,686 ms
ジャッジサーバーID
(参考情報)
judge11 / judge12
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 44 ms
49,456 KB
testcase_01 AC 44 ms
49,636 KB
testcase_02 AC 43 ms
49,548 KB
testcase_03 AC 44 ms
49,624 KB
testcase_04 AC 44 ms
49,460 KB
testcase_05 AC 44 ms
49,548 KB
testcase_06 AC 44 ms
49,396 KB
testcase_07 AC 43 ms
49,552 KB
testcase_08 AC 44 ms
49,604 KB
testcase_09 AC 45 ms
49,548 KB
testcase_10 AC 45 ms
49,592 KB
testcase_11 AC 45 ms
49,764 KB
testcase_12 AC 44 ms
49,552 KB
testcase_13 AC 45 ms
49,640 KB
testcase_14 AC 45 ms
49,596 KB
testcase_15 AC 44 ms
49,400 KB
testcase_16 AC 44 ms
49,736 KB
testcase_17 AC 44 ms
49,528 KB
testcase_18 AC 44 ms
49,684 KB
testcase_19 AC 43 ms
49,600 KB
testcase_20 AC 44 ms
49,412 KB
testcase_21 AC 44 ms
49,528 KB
testcase_22 AC 44 ms
49,404 KB
testcase_23 AC 44 ms
49,736 KB
testcase_24 AC 44 ms
49,776 KB
testcase_25 AC 44 ms
49,536 KB
testcase_26 AC 44 ms
47,576 KB
testcase_27 AC 44 ms
49,780 KB
testcase_28 AC 43 ms
49,668 KB
testcase_29 AC 44 ms
49,624 KB
testcase_30 AC 44 ms
49,676 KB
testcase_31 AC 45 ms
49,760 KB
testcase_32 AC 50 ms
50,876 KB
testcase_33 AC 44 ms
49,744 KB
testcase_34 AC 45 ms
49,872 KB
testcase_35 AC 45 ms
49,756 KB
testcase_36 AC 45 ms
49,832 KB
testcase_37 AC 44 ms
49,564 KB
testcase_38 AC 44 ms
50,032 KB
testcase_39 AC 44 ms
49,844 KB
testcase_40 AC 43 ms
49,672 KB
testcase_41 AC 44 ms
49,732 KB
testcase_42 AC 45 ms
49,668 KB
testcase_43 AC 48 ms
49,792 KB
testcase_44 AC 44 ms
49,692 KB
testcase_45 AC 45 ms
50,060 KB
testcase_46 AC 44 ms
49,708 KB
testcase_47 AC 44 ms
49,564 KB
testcase_48 AC 45 ms
49,728 KB
testcase_49 AC 44 ms
49,780 KB
testcase_50 AC 44 ms
49,840 KB
testcase_51 AC 44 ms
49,844 KB
testcase_52 AC 44 ms
49,752 KB
testcase_53 AC 44 ms
49,624 KB
testcase_54 AC 44 ms
49,640 KB
testcase_55 AC 44 ms
50,028 KB
testcase_56 AC 44 ms
50,136 KB
testcase_57 AC 44 ms
49,832 KB
testcase_58 AC 44 ms
49,684 KB
testcase_59 AC 44 ms
49,740 KB
testcase_60 AC 44 ms
49,760 KB
testcase_61 AC 43 ms
49,944 KB
testcase_62 AC 44 ms
49,676 KB
testcase_63 AC 45 ms
49,864 KB
testcase_64 AC 44 ms
49,688 KB
testcase_65 AC 44 ms
49,556 KB
testcase_66 AC 44 ms
49,668 KB
testcase_67 AC 44 ms
49,792 KB
testcase_68 AC 44 ms
49,880 KB
testcase_69 AC 44 ms
49,840 KB
testcase_70 AC 44 ms
49,784 KB
testcase_71 AC 44 ms
49,668 KB
testcase_72 AC 44 ms
50,028 KB
testcase_73 AC 44 ms
49,776 KB
testcase_74 AC 43 ms
49,608 KB
testcase_75 AC 45 ms
49,736 KB
testcase_76 AC 56 ms
50,508 KB
testcase_77 AC 44 ms
49,712 KB
testcase_78 AC 44 ms
49,736 KB
testcase_79 AC 44 ms
49,560 KB
testcase_80 AC 60 ms
51,896 KB
testcase_81 AC 61 ms
50,828 KB
testcase_82 AC 45 ms
47,616 KB
testcase_83 AC 45 ms
49,744 KB
testcase_84 AC 72 ms
50,752 KB
testcase_85 AC 44 ms
49,764 KB
testcase_86 AC 71 ms
51,600 KB
testcase_87 AC 79 ms
51,536 KB
testcase_88 AC 44 ms
49,720 KB
testcase_89 AC 45 ms
49,880 KB
testcase_90 AC 80 ms
52,148 KB
testcase_91 AC 44 ms
49,560 KB
testcase_92 AC 44 ms
49,616 KB
testcase_93 AC 44 ms
49,936 KB
testcase_94 AC 44 ms
49,648 KB
testcase_95 AC 45 ms
50,132 KB
testcase_96 AC 45 ms
49,688 KB
testcase_97 AC 44 ms
49,840 KB
testcase_98 AC 45 ms
49,632 KB
testcase_99 AC 47 ms
50,492 KB
testcase_100 AC 47 ms
50,660 KB
testcase_101 AC 91 ms
53,524 KB
testcase_102 AC 44 ms
49,740 KB
testcase_103 AC 44 ms
49,700 KB
testcase_104 AC 45 ms
50,152 KB
testcase_105 AC 44 ms
49,612 KB
testcase_106 AC 47 ms
48,612 KB
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ソースコード

diff #

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayDeque;
import java.util.BitSet;
import java.util.HashMap;
import java.util.Queue;
 
public class Main {
	public static void main(String[] args) throws NumberFormatException,
	IOException {Solve solve = new Solve();solve.solve();}
}
class Solve{
	void solve() throws NumberFormatException, IOException{
		ContestScanner in = new ContestScanner();
		Writer out = new Writer();
//		if(exp()) return;
		BigInteger bi = new BigInteger(in.readLine());
		if(bi.compareTo(BigInteger.valueOf(40L))>=0){
			if(bi.mod(BigInteger.valueOf(8)).equals(BigInteger.valueOf(1))
					&& bi.add(BigInteger.valueOf(-8)).isProbablePrime(100)) System.out.println(14);
			else System.out.println(8);
			return;
		}
		BitSet p = prime(50);
		int n = bi.intValue();
		for(int w=3; w<n; w++){
			final int h = (n+w-1)/w;
			boolean[][] map = new boolean[h][w];
			for(int i=0; i<n; i++){
				final int y = i/w;
				final int x = i%w;
				map[y][x] = p.get(i+1);
			}
			if(n%w!=0) for(int i=n%w; i<w; i++){
				map[h-1][i] = true;
			}
//			for(int i=0; i<h; i++){
//				for(int j=0; j<w; j++){
//					System.out.print(map[i][j]?'X':'.');
//				}
//				System.out.println();
//			}
//			System.out.println();
			if(check(map, n-1)){
				System.out.println(w);
				return;
			}
		}
		System.out.println(n-1);
	}
	
	boolean exp(){
		int n = 100;
		BitSet p = prime(n);
		for(int i=1; i<=n; i++){
			if(p.get(i)) System.out.print('X');
			else System.out.print('.');
			if(i%8==0) System.out.println();
		}
		return true;
	}
	
	final int[] dx = {0, 1, 0, -1};
	final int[] dy = {1, 0, -1, 0};
	boolean check(boolean[][] map, int goal){
		final int h = map.length;
		final int w = map[0].length;
		Queue<Integer> qu = new ArrayDeque<>();
		qu.add(0);
		BitSet used = new BitSet(h*w);
		while(!qu.isEmpty()){
			int p = qu.poll();
			if(used.get(p)) continue;
			used.set(p);
			if(goal==p) return true;
			final int y = p/w;
			final int x = p%w;
			for(int i=0; i<4; i++){
				final int ny = dy[i]+y;
				final int nx = dx[i]+x;
				if(ny<0||ny>=h||nx<0||nx>=w||map[ny][nx])
					continue;
				qu.add(ny*w+nx);
			}
		}
		return false;
	}
	
	public static BitSet prime(int max){
		// こちらを使うように
		BitSet prime = new BitSet(max+1);
		prime.set(2, max+1);
		for(int i=2; i!=-1 && i*i<=max; i=prime.nextSetBit(i+1))
			for(int j=i*2; j<=max; j+=i) prime.clear(j);
		return prime;
	}
}
 
class MultiSet<T> extends HashMap<T, Integer>{
	@Override
	public Integer get(Object key){return containsKey(key)?super.get(key):0;}
	public void add(T key,int v){put(key,get(key)+v);}
	public void add(T key){put(key,get(key)+1);}
}
class Timer{
	long time;
	public void set(){time = System.currentTimeMillis();}
	public long stop(){return System.currentTimeMillis()-time;}
}
class Writer extends PrintWriter{
	public Writer(String filename) throws IOException
	{super(new BufferedWriter(new FileWriter(filename)));}
	public Writer() throws IOException{super(System.out);}
}
class ContestScanner {
	private BufferedReader reader;
	private String[] line;
	private int idx;
	public ContestScanner() throws FileNotFoundException 
	{reader = new BufferedReader(new InputStreamReader(System.in));}
	public ContestScanner(String filename) throws FileNotFoundException
	{reader = new BufferedReader(new InputStreamReader(new FileInputStream(filename)));}
	public String nextToken() throws IOException {
		if (line == null || line.length <= idx) {
			line = reader.readLine().trim().split(" ");
			idx = 0;
		}
		return line[idx++];
	}
	public String readLine() throws IOException{return reader.readLine();}
	public long nextLong() throws IOException, NumberFormatException
	{return Long.parseLong(nextToken());}
	public int nextInt() throws NumberFormatException, IOException
	{return (int) nextLong();}
	public double nextDouble() throws NumberFormatException, IOException 
	{return Double.parseDouble(nextToken());}
}
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