{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: \r\u003cbr\u003e\u003cblockquote\u003eEvery even number greater than 4 can be\r\u003cbr\u003ewritten as the sum of two odd prime numbers. \u003c/blockquote\u003e\r\u003cbr\u003eFor example: \r\u003cbr\u003e\u003cblockquote\u003e8 \u003d 3 + 5. Both 3 and 5 are odd prime numbers. \r\u003cbr\u003e20 \u003d 3 + 17 \u003d 7 + 13. \r\u003cbr\u003e42 \u003d 5 + 37 \u003d 11 + 31 \u003d 13 + 29 \u003d 19 + 23. \u003c/blockquote\u003e\r\u003cbr\u003eToday it is still unproven whether the conjecture is right. (Oh wait, I have the proof of course, but it is too long to write it on the margin of this page.) \r\u003cbr\u003eAnyway, your task is now to verify Goldbach\u0027s conjecture for all even numbers less than a million.\r\u003cbr\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The input will contain one or more test cases. \r\u003cbr\u003eEach test case consists of one even integer n with 6 \u0026lt;\u003d n \u0026lt; 1000000. \r\u003cbr\u003eInput will be terminated by a value of 0 for n. "}},{"title":"Output","value":{"format":"HTML","content":"For each test case, print one line of the form n \u003d a + b, where a and b are odd primes. Numbers and operators should be separated by exactly one blank like in the sample output below. If there is more than one pair of odd primes adding up to n, choose the pair where the difference b - a is maximized. If there is no such pair, print a line saying \"Goldbach\u0027s conjecture is wrong.\" "}},{"title":"Sample","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e8\r\n20\r\n42\r\n0\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e8 \u003d 3 + 5\r\n20 \u003d 3 + 17\r\n42 \u003d 5 + 37\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}