시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

정수론 중간고사를 마치고 집으로 돌아온 상근이는 패닉에 빠졌다. 유일하게 공부를 하지 않은 것이 오일러 피 함수(Euler's totient function, \(\varphi \))였는데, 그 함수에 관한 문제만 나왔기 때문이다. 상근이는 너무 억울했고, 직접 Totient 함수를 만들기로 했다.

정수론에서 양의 정수의 소인수는 그 정수를 나머지 없이 나눌 수 있는 소수이다. 상근이는 n ≥ 2에서 함수 F(n)을 곱이 n이 되는 감소하지 않는 소수의 리스트로 정의했다. 예를 들어, F(8) = «2,2,2», F(60) = «2,2,3,5», F(71) = «71» 이다. O(n)은 F(n)의 길이이다. 예를 들어, O(8) = 3, O(60) = 4, O(71) = 1 이 된다. 마지막으로, 양의 정수에 대해서 \(p(n)\)을 다음과 같이 정의했다.

\(p(n) = \begin{cases} 0 & \text{if } n = 1 \\ -1 & \text{if } n \text{ is a prime number} \\ O(n) & \text {otherwise} \end{cases}\)

아래 표에는 \(p(n)\)의 첫 20개 값이 나와있다.

a ≤ b를 만족하는 두 양의 정수 a와 b에 대해서, 상근이는 자신의 Totient 함수인 \(\varphi(a,b)\)를 다음과 같이 정의했다.

\(\varphi (a,b)= ( \sum _{ k=a }^{ b }{ p(k) }  )  - (b-a+1)\)

예를 들어, \(\varphi(1,4) = -4\), \(\varphi(16,16) = 3\), \(\varphi(8,12) = 4\) 이다.

구간 [L, U]가 주어졌을 때, 가장 큰 값을 갖는 \(\varphi\)를 찾는 프로그램을 작성하시오.

즉, L ≤ U를 만족하는 두 양의 정수 L과 U가 주어졌을 때, 가장 큰 \(\varphi(a,b)\) (L ≤ a ≤ b ≤ U) 를 찾는 프로그램을 작성하시오. 예를 들어, 구간 [1,20]에서 가장 큰 \(\varphi\)는 7이다. (\(\varphi(8,16)\))

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 한 줄로 이루어져 있고, L과 U가 주어진다. (1 ≤ L ≤ U < 1,000,000)

입력의 마지막 줄에는 -1이 두 개 주어진다.

출력

각 테스트 케이스마다 주어진 구간 [L, U]에서 찾을 수 있는 가장 큰 \(\varphi\) 값을 출력한다.

예제 입력 1

1 5
1 20
10 20
900000 901000
-1 -1

예제 출력 1

1. 1
2. 7
3. 5
4. 2551
[{"problem_id":"4924","problem_lang":"0","title":"\uc815\uc218\ub860 \uc2eb\uc5b4","description":"<p>\uc815\uc218\ub860 \uc911\uac04\uace0\uc0ac\ub97c \ub9c8\uce58\uace0 \uc9d1\uc73c\ub85c \ub3cc\uc544\uc628 \uc0c1\uadfc\uc774\ub294 \ud328\ub2c9\uc5d0 \ube60\uc84c\ub2e4. \uc720\uc77c\ud558\uac8c \uacf5\ubd80\ub97c \ud558\uc9c0 \uc54a\uc740 \uac83\uc774 \uc624\uc77c\ub7ec \ud53c \ud568\uc218(Euler&#39;s totient function, \\(\\varphi \\))\uc600\ub294\ub370, \uadf8 \ud568\uc218\uc5d0 \uad00\ud55c \ubb38\uc81c\ub9cc \ub098\uc654\uae30 \ub54c\ubb38\uc774\ub2e4. \uc0c1\uadfc\uc774\ub294 \ub108\ubb34 \uc5b5\uc6b8\ud588\uace0, \uc9c1\uc811 Totient \ud568\uc218\ub97c \ub9cc\ub4e4\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc815\uc218\ub860\uc5d0\uc11c \uc591\uc758 \uc815\uc218\uc758 \uc18c\uc778\uc218\ub294 \uadf8 \uc815\uc218\ub97c \ub098\uba38\uc9c0 \uc5c6\uc774 \ub098\ub20c \uc218 \uc788\ub294 \uc18c\uc218\uc774\ub2e4. \uc0c1\uadfc\uc774\ub294 n &ge; 2\uc5d0\uc11c \ud568\uc218 F(n)\uc744 \uacf1\uc774 n\uc774 \ub418\ub294 \uac10\uc18c\ud558\uc9c0 \uc54a\ub294 \uc18c\uc218\uc758 \ub9ac\uc2a4\ud2b8\ub85c \uc815\uc758\ud588\ub2e4. \uc608\ub97c \ub4e4\uc5b4, F(8) = &laquo;2,2,2&raquo;, F(60) = &laquo;2,2,3,5&raquo;, F(71) = &laquo;71&raquo; \uc774\ub2e4. O(n)\uc740 F(n)\uc758 \uae38\uc774\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, O(8) = 3, O(60) = 4, O(71) = 1 \uc774 \ub41c\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc591\uc758 \uc815\uc218\uc5d0 \ub300\ud574\uc11c \\(p(n)\\)\uc744 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud588\ub2e4.<\/p>\r\n\r\n<p>\\(p(n) = \\begin{cases} 0 &amp; \\text{if } n = 1 \\\\ -1 &amp; \\text{if } n \\text{ is a prime number} \\\\ O(n) &amp; \\text {otherwise} \\end{cases}\\)<\/p>\r\n\r\n<p>\uc544\ub798 \ud45c\uc5d0\ub294 \\(p(n)\\)\uc758 \uccab 20\uac1c \uac12\uc774 \ub098\uc640\uc788\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/pn.png\" style=\"height:64px; width:558px\" \/><\/p>\r\n\r\n<p>a &le; b\ub97c \ub9cc\uc871\ud558\ub294 \ub450 \uc591\uc758 \uc815\uc218 a\uc640 b\uc5d0 \ub300\ud574\uc11c, \uc0c1\uadfc\uc774\ub294 \uc790\uc2e0\uc758 Totient \ud568\uc218\uc778 \\(\\varphi(a,b)\\)\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud588\ub2e4.<\/p>\r\n\r\n<p>\\(\\varphi (a,b)= ( \\sum _{ k=a }^{ b }{ p(k) } &nbsp;) &nbsp;- (b-a+1)\\)<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \\(\\varphi(1,4) = -4\\), \\(\\varphi(16,16) = 3\\), \\(\\varphi(8,12) = 4\\) \uc774\ub2e4.<\/p>\r\n\r\n<p>\uad6c\uac04 [L, U]\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac00\uc7a5 \ud070 \uac12\uc744 \uac16\ub294 \\(\\varphi\\)\ub97c \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc989, L &le; U\ub97c \ub9cc\uc871\ud558\ub294 \ub450 \uc591\uc758 \uc815\uc218 L\uacfc U\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac00\uc7a5 \ud070 \\(\\varphi(a,b)\\) (L &le; a &le; b &le; U) \ub97c \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc608\ub97c \ub4e4\uc5b4, \uad6c\uac04 [1,20]\uc5d0\uc11c \uac00\uc7a5 \ud070 \\(\\varphi\\)\ub294 7\uc774\ub2e4. (\\(\\varphi(8,16)\\))<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, L\uacfc U\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; L &le; U &lt; 1,000,000)<\/p>\r\n\r\n<p>\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 -1\uc774 \ub450 \uac1c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \uc8fc\uc5b4\uc9c4 \uad6c\uac04 [L, U]\uc5d0\uc11c \ucc3e\uc744 \uc218 \uc788\ub294 \uac00\uc7a5 \ud070 \\(\\varphi\\) \uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4924","problem_lang":"1","title":"Johnny Hates Number Theory","description":"<p>Johnny hates Number Theory! Actually, back in 2002, we came to know that Johnny couldn&rsquo;t count and in 2005 we knew that Johnny couldn&rsquo;t yet add. (But we did know in 2003 that Johnny was street smart enough to solve di\ufb03cult graph problems!) Why Johnny decided to study Number Theory is incomprehensible to us.<\/p>\r\n\r\n<p>Anyhow, back to Johnny. Johnny just failed his comprehensive exam and that was all because of Euler&rsquo;s Totient function (\\(\\varphi\\)). Johnny is so angry that he decides to create his own Totient function. Here&rsquo;s how he described it to his advisor:<\/p>\r\n\r\n<p>In number theory, the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder. Johnny de\ufb01nes function F(n), for n &ge; 2, to be the non-decreasing list of prime numbers whose product is n. For example, F(8) = \u0004&laquo;2,2,2&raquo;\u0005, F(60) = \u0004&laquo;2,2,3,5&raquo;\u0005, and F(71) = \u0004&laquo;71&raquo;\u0005 (71 is a prime.) Let O(n) be the length of the list F(n) (i.e. its ordinal.) For example, O(8) = 3, O(60) = 4, and O(71) = 1. Johnny also de\ufb01nes function \\(p(n)\\) over positive integers as follows:<\/p>\r\n\r\n<p>\\(p(n) = \\begin{cases} 0 &amp; \\text{if } n = 1 \\\\ -1 &amp; \\text{if } n \\text{ is a prime number} \\\\ O(n) &amp; \\text {otherwise} \\end{cases}\\)<\/p>\r\n\r\n<p>The following table illustrates \\(p(n)\\) for the \ufb01rst twenty positive integers:<\/p>\r\n\r\n<p>rmfla<\/p>\r\n\r\n<p>Given two positive integers a and b where a &le; b, Johnny de\ufb01nes his very own Totient function \\(\\varphi(a,b)\\) as follows:<\/p>\r\n\r\n<p>\\(\\varphi (a,b)= ( \\sum _{ k=a }^{ b }{ p(k) } &nbsp;) &nbsp;- (b-a+1)\\)<\/p>\r\n\r\n<p>For example, \\(\\varphi(1,4) = -4\\), \\(\\varphi(16,16) = 3\\), and \\(\\varphi(8,12) = 4\\).<\/p>\r\n\r\n<p>For his dissertation, Johnny needs a program that determines the maximal \\(\\varphi\\) within a given range [L, U]. In other words, given two positive integers L, U such that L &le; U, the program must \ufb01nd the maximum \\(\\varphi(a, b)\\) where L &le; a &le; b &le; U. For example, the maximal \\(\\varphi\\) within the range [1,20] is 7 (which is \\(\\varphi(8,16)\\).)<\/p>\r\n\r\n<p>Write the program Johnny needs!<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. Each test case is speci\ufb01ed on a single line. Each test case is speci\ufb01ed using two positive integers L and U separated by one or more spaces, and satisfying the following property: 1 &le; L &le; U &lt; 1,000,000<\/p>\r\n\r\n<p>The end of the test cases is indicated by a line made of two -1&rsquo;s. That last line is is not part of the test cases.<\/p>\r\n","output":"<p>For each test case, output the result on a single line using the following format:<\/p>\r\n\r\n<p>k.result<\/p>\r\n\r\n<p>Where k is the test case number (starting at 1,) and result is the maximal \\(\\varphi\\) that can be found within the range [L, U].<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]