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为什么筛选法还慢一些啊?

Posted by wskwsk at 2010-06-28 13:47:43 on Problem 2262

import java.util.Scanner;

public class Main {

	private static int[] prime = new int[] { 2, 3, 5, 7, 11, 13, 17, 19, 23,
			29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
			101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163,
			167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
			239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311,
			313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389,
			397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463,
			467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563,
			569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641,
			643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727,
			733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821,
			823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907,
			911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 };

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

		while (sc.hasNextInt()) {
			int n = sc.nextInt();

			if (n == 0)
				break;

			boolean flag = false;

			for (int i = 2; i < n;) {

				// if (isPrime(i) && isPrime(n - i)) {
				if (isPrime(i) && isPrime(n - i)) {
					flag = true;
					System.out.println(n + " = " + i + " + " + (n - i));
					break;
				}
				if (i == 2)
					i++;
				else
					i += 2;
			}
			if (!flag)
				System.out.println("Goldbach's conjecture is wrong.");
		}
	}

	static boolean isPrime(int num) {
		// int q = (int) Math.sqrt((double) num);
		// for (int i = 2; i <= q; ++i) {
		// if (num % i == 0)
		// return false;
		// }
		// boolean b = true;
		for (int i = 0; i < 168; i++) {
			if (prime[i] >= num)
				break;
			else if (num % prime[i] == 0) {
				return false;
			}
		}
		return true;
	}

}

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