#61841 (Java21) No.308 素数は通れません

• 問題: No.308 素数は通れません
• ユーザー: Grenache
• 提出日時: 2015-12-01 20:33:20
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 62 ms / 1,000 ms
• コード長: 3,863 bytes
• コンパイル時間: 4,365 ms
• コンパイル使用メモリ: 79,888 KB
• 実行使用メモリ: 51,844 KB
• 最終ジャッジ日時: 2023-08-18 13:05:07
• 合計ジャッジ時間: 12,037 ms
• ジャッジサーバーID （参考情報）: judge11 / judge13

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	47 ms; 49,368 KB
testcase_01	AC	46 ms; 49,300 KB
testcase_02	AC	46 ms; 49,356 KB
testcase_03	AC	45 ms; 49,440 KB
testcase_04	AC	46 ms; 49,384 KB
testcase_05	AC	47 ms; 49,320 KB
testcase_06	AC	46 ms; 49,688 KB
testcase_07	AC	46 ms; 49,644 KB
testcase_08	AC	46 ms; 49,344 KB
testcase_09	AC	47 ms; 49,416 KB
testcase_10	AC	46 ms; 49,780 KB
testcase_11	AC	46 ms; 49,384 KB
testcase_12	AC	47 ms; 49,536 KB
testcase_13	AC	46 ms; 49,348 KB
testcase_14	AC	46 ms; 49,596 KB
testcase_15	AC	48 ms; 49,480 KB
testcase_16	AC	47 ms; 49,444 KB
testcase_17	AC	46 ms; 49,440 KB
testcase_18	AC	46 ms; 49,688 KB
testcase_19	AC	46 ms; 49,352 KB
testcase_20	AC	45 ms; 49,424 KB
testcase_21	AC	46 ms; 49,428 KB
testcase_22	AC	45 ms; 49,372 KB
testcase_23	AC	46 ms; 49,296 KB
testcase_24	AC	48 ms; 47,416 KB
testcase_25	AC	46 ms; 49,316 KB
testcase_26	AC	46 ms; 49,404 KB
testcase_27	AC	45 ms; 49,312 KB
testcase_28	AC	45 ms; 49,648 KB
testcase_29	AC	46 ms; 49,300 KB
testcase_30	AC	46 ms; 49,500 KB
testcase_31	AC	45 ms; 49,424 KB
testcase_32	AC	47 ms; 49,360 KB
testcase_33	AC	46 ms; 49,316 KB
testcase_34	AC	45 ms; 49,412 KB
testcase_35	AC	45 ms; 49,276 KB
testcase_36	AC	45 ms; 49,488 KB
testcase_37	AC	45 ms; 49,772 KB
testcase_38	AC	45 ms; 49,308 KB
testcase_39	AC	45 ms; 49,344 KB
testcase_40	AC	46 ms; 49,412 KB
testcase_41	AC	45 ms; 49,508 KB
testcase_42	AC	44 ms; 49,440 KB
testcase_43	AC	46 ms; 49,448 KB
testcase_44	AC	46 ms; 49,376 KB
testcase_45	AC	48 ms; 49,796 KB
testcase_46	AC	46 ms; 49,596 KB
testcase_47	AC	46 ms; 49,400 KB
testcase_48	AC	46 ms; 47,520 KB
testcase_49	AC	45 ms; 49,788 KB
testcase_50	AC	45 ms; 47,440 KB
testcase_51	AC	46 ms; 49,796 KB
testcase_52	AC	46 ms; 49,368 KB
testcase_53	AC	45 ms; 49,344 KB
testcase_54	AC	45 ms; 49,424 KB
testcase_55	AC	45 ms; 49,488 KB
testcase_56	AC	46 ms; 49,344 KB
testcase_57	AC	46 ms; 49,460 KB
testcase_58	AC	47 ms; 49,288 KB
testcase_59	AC	46 ms; 49,364 KB
testcase_60	AC	46 ms; 49,408 KB
testcase_61	AC	46 ms; 49,448 KB
testcase_62	AC	44 ms; 49,468 KB
testcase_63	AC	48 ms; 49,716 KB
testcase_64	AC	47 ms; 49,420 KB
testcase_65	AC	46 ms; 49,292 KB
testcase_66	AC	45 ms; 49,776 KB
testcase_67	AC	44 ms; 49,364 KB
testcase_68	AC	45 ms; 49,328 KB
testcase_69	AC	45 ms; 49,424 KB
testcase_70	AC	45 ms; 49,416 KB
testcase_71	AC	45 ms; 49,540 KB
testcase_72	AC	45 ms; 49,352 KB
testcase_73	AC	45 ms; 49,408 KB
testcase_74	AC	46 ms; 49,440 KB
testcase_75	AC	45 ms; 49,464 KB
testcase_76	AC	46 ms; 49,324 KB
testcase_77	AC	45 ms; 49,348 KB
testcase_78	AC	45 ms; 49,688 KB
testcase_79	AC	45 ms; 49,320 KB
testcase_80	AC	47 ms; 49,596 KB
testcase_81	AC	49 ms; 49,676 KB
testcase_82	AC	46 ms; 49,432 KB
testcase_83	AC	45 ms; 49,376 KB
testcase_84	AC	51 ms; 50,424 KB
testcase_85	AC	45 ms; 49,368 KB
testcase_86	AC	51 ms; 50,440 KB
testcase_87	AC	52 ms; 50,416 KB
testcase_88	AC	45 ms; 49,372 KB
testcase_89	AC	47 ms; 49,500 KB
testcase_90	AC	55 ms; 50,468 KB
testcase_91	AC	46 ms; 49,508 KB
testcase_92	AC	46 ms; 49,328 KB
testcase_93	AC	46 ms; 49,428 KB
testcase_94	AC	46 ms; 49,600 KB
testcase_95	AC	45 ms; 49,348 KB
testcase_96	AC	47 ms; 50,156 KB
testcase_97	AC	46 ms; 49,356 KB
testcase_98	AC	46 ms; 49,452 KB
testcase_99	AC	49 ms; 50,444 KB
testcase_100	AC	48 ms; 50,576 KB
testcase_101	AC	62 ms; 51,844 KB
testcase_102	AC	46 ms; 49,780 KB
testcase_103	AC	46 ms; 49,336 KB
testcase_104	AC	45 ms; 49,328 KB
testcase_105	AC	46 ms; 49,452 KB
testcase_106	AC	50 ms; 50,444 KB

ソースコード

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.Iterator;
import java.util.List;


public class Main_yukicoder308_1 {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        Printer pr = new Printer(System.out);

        String N = sc.next();

        if (N.length() <= 2) {
        	int n = Integer.parseInt(N);

        	boolean[] notprime = new boolean[n + 1];
        	notprime[1] = true;
        	for (int i = 2; i * i <= n; i++) {
        		if (!notprime[i]) {
        			for (int j = 2; i * j <= n; j++) {
        				notprime[i * j] = true;
        			}
        		}
        	}

        	for (int w = 2; w <= n; w++) {
        		if (dfs(w, n, notprime, pr)) {
        			pr.println(w);
        			break;
        		}
        	}
        } else {
        	int mod = 0;
        	for (int i = 0; i < N.length(); i++) {
        		mod = (10 * mod + (N.charAt(i) - '0')) % 8;
        	}

        	if (mod != 1) {
        		pr.println(8);
        	} else {
        		if (isPrime(N, 8)) {
        			pr.println(14);
        		} else {
            		pr.println(8);
        		}
        	}
        }

        pr.close();
        sc.close();
    }

	private static boolean isPrime(String N, int sub) {
		if (N.length() < 12) {
			long n = Long.parseLong(N);
			n -= sub;
			boolean prime = (n != 1);
			for (long i = 2; i * i <= n; i++) {
				if (n % i == 0) {
					prime = false;
					break;
				}
			}

			return prime;
		} else {
			BigInteger n = new BigInteger(N);
			n = n.subtract(new BigInteger(Integer.toString(sub)));

			return n.isProbablePrime(20);
		}
	}

	private static boolean dfs(int w, int n, boolean[] notprime, Printer pr) {
		int[] d = {w, 1, -1, -w};
		boolean[] used = new boolean[n + 1];

		Deque<Integer> st = new ArrayDeque<Integer>();
		Deque<List<Integer>> rt = new ArrayDeque<List<Integer>>();
		st.push(1);
		rt.push(new ArrayList<Integer>());
		used[1] = true;
		while (!st.isEmpty()) {
			int e = st.pop();
			List<Integer> tmprt = rt.pop();

			for (int i = 0; i < d.length; i++) {
				int tmp = e + d[i];

				if (tmp < 1 || tmp > n) {
					continue;
				}
				if (e % w == 0 && d[i] == 1) {
					continue;
				}
				if (e % w == 1 && d[i] == -1) {
					continue;
				}

				if (tmp == n) {
					tmprt.add(tmp);
//					pr.println(tmprt.toString());

					return true;
				}

				if (!used[tmp] && notprime[tmp]) {
					used[tmp] = true;
					st.push(tmp);
					List<Integer> tt = new ArrayList<Integer>(tmprt);
					tt.add(tmp);
					rt.push(tt);
				}
			}
		}

		return false;
	}

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;
		Iterator<String> it;

		Scanner (InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}

		String next() throws RuntimeException  {
			try {
				if (it == null || !it.hasNext()) {
					it = Arrays.asList(br.readLine().split(" ")).iterator();
				}
				return it.next();
			} catch (IOException e) {
				throw new IllegalStateException();
			}
		}

		int nextInt() throws RuntimeException {
			return Integer.parseInt(next());
		}

		long nextLong() throws RuntimeException {
			return Long.parseLong(next());
		}

		float nextFloat() throws RuntimeException {
			return Float.parseFloat(next());
		}

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

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new IllegalStateException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}