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2 초 128 MB 194 61 43 33.333%

문제

네트워크에 연결되어 있는 컴퓨터들은 각각 하나의 IP 주소를 갖게 된다. 그리고 이러한 IP 주소를 갖는 컴퓨터들이 여러 개 모여서 하나의 IP 네트워크를 구성하게 된다. IP 네트워크는 ‘네트워크 주소’와 ‘네트워크 마스크’라는 두 개의 정보로 표현된다.

IP 주소는 네 개의 바이트로 구성되어 있으며, 각각을 10진수로 나타내고(앞에 0을 붙이지 않은 형태로) 사이에 점을 찍어 주소를 표현한다. 바이트이기 때문에 각각의 수는 0부터 255까지의 값을 갖게 된다. 네트워크 주소와 네트워크 마스크 역시 같은 형식으로 나타낸다.

IP 네트워크에 대해 올바르게 이해하기 위해서는 위와 같은 주소를 2진수로 이해하면 된다. 즉, 각각의 바이트를 8자리의 이진수로 나타내고, 이를 네 개 붙여놓은(앞에서부터) 32자리의 이진수를 생각해 보자. IP 네트워크에는 기본적으로 2^m 개의 컴퓨터(혹은 IP 주소)가 할당될 수 있다. 이 경우의 네트워크 주소는 앞의 32-m 자리가 임의의 수(0 또는 1)로 구성되어 있고, 뒤의 m자리는 0으로 채워지게 된다. 네트워크 마스크는 앞의 32-m 자리가 1로 채워져 있고, 뒤의 m자리는 0으로 채워지게 된다. 이와 같은 IP 네트워크에는 앞의 32-m 자리가 네트워크 주소와 일치하는 모든 IP들이 포함되게 된다.

예를 들어 네트워크 주소가 194.85.160.176이고, 네트워크 마스크가 255.255.255.248인 경우를 생각해 보자. 이 경우, 이 네트워크에는 194.85.160.176부터 194.85.160.183까지의 8개의 IP 주소가 포함된다.

어떤 네트워크에 속해있는 IP 주소들이 주어졌을 때, 네트워크 주소와 네트워크 마스크를 구해내는 프로그램을 작성하시오. 답이 여러 개인 경우에는 가장 크기가 작은(포함되는 IP 주소가 가장 적은, 즉 m이 최소인) 네트워크를 구하도록 한다.

입력

첫째 줄에 정수 n(1≤n≤1,000)이 주어진다. 다음 n개의 줄에는 각 컴퓨터의 IP 주소가 주어진다.

출력

첫째 줄에 네트워크 주소를, 둘째 줄에 네트워크 마스크를 출력한다.

예제 입력 1

3
194.85.160.177
194.85.160.183
194.85.160.178

예제 출력 1

194.85.160.176
255.255.255.248
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IP \ub124\ud2b8\uc6cc\ud06c\ub294 &lsquo;\ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c&rsquo;\uc640 &lsquo;\ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c&rsquo;\ub77c\ub294 \ub450 \uac1c\uc758 \uc815\ubcf4\ub85c \ud45c\ud604\ub41c\ub2e4.<\/p>\r\n<p>IP \uc8fc\uc18c\ub294 \ub124 \uac1c\uc758 \ubc14\uc774\ud2b8\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uc73c\uba70, \uac01\uac01\uc744 10\uc9c4\uc218\ub85c \ub098\ud0c0\ub0b4\uace0(\uc55e\uc5d0 0\uc744 \ubd99\uc774\uc9c0 \uc54a\uc740 \ud615\ud0dc\ub85c) \uc0ac\uc774\uc5d0 \uc810\uc744 \ucc0d\uc5b4 \uc8fc\uc18c\ub97c \ud45c\ud604\ud55c\ub2e4. \ubc14\uc774\ud2b8\uc774\uae30 \ub54c\ubb38\uc5d0 \uac01\uac01\uc758 \uc218\ub294 0\ubd80\ud130 255\uae4c\uc9c0\uc758 \uac12\uc744 \uac16\uac8c \ub41c\ub2e4. \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\uc640 \ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c \uc5ed\uc2dc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n<p>IP \ub124\ud2b8\uc6cc\ud06c\uc5d0 \ub300\ud574 \uc62c\ubc14\ub974\uac8c \uc774\ud574\ud558\uae30 \uc704\ud574\uc11c\ub294 \uc704\uc640 \uac19\uc740 \uc8fc\uc18c\ub97c 2\uc9c4\uc218\ub85c \uc774\ud574\ud558\uba74 \ub41c\ub2e4. \uc989, \uac01\uac01\uc758 \ubc14\uc774\ud2b8\ub97c 8\uc790\ub9ac\uc758 \uc774\uc9c4\uc218\ub85c \ub098\ud0c0\ub0b4\uace0, \uc774\ub97c \ub124 \uac1c \ubd99\uc5ec\ub193\uc740(\uc55e\uc5d0\uc11c\ubd80\ud130) 32\uc790\ub9ac\uc758 \uc774\uc9c4\uc218\ub97c \uc0dd\uac01\ud574 \ubcf4\uc790. IP \ub124\ud2b8\uc6cc\ud06c\uc5d0\ub294 \uae30\ubcf8\uc801\uc73c\ub85c 2^m \uac1c\uc758 \ucef4\ud4e8\ud130(\ud639\uc740 IP \uc8fc\uc18c)\uac00 \ud560\ub2f9\ub420 \uc218 \uc788\ub2e4. \uc774 \uacbd\uc6b0\uc758 \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\ub294 \uc55e\uc758 32-m \uc790\ub9ac\uac00 \uc784\uc758\uc758 \uc218(0 \ub610\ub294 1)\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uace0, \ub4a4\uc758 m\uc790\ub9ac\ub294 0\uc73c\ub85c \ucc44\uc6cc\uc9c0\uac8c \ub41c\ub2e4. \ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c\ub294 \uc55e\uc758 32-m \uc790\ub9ac\uac00 1\ub85c \ucc44\uc6cc\uc838 \uc788\uace0, \ub4a4\uc758 m\uc790\ub9ac\ub294 0\uc73c\ub85c \ucc44\uc6cc\uc9c0\uac8c \ub41c\ub2e4. \uc774\uc640 \uac19\uc740 IP \ub124\ud2b8\uc6cc\ud06c\uc5d0\ub294 \uc55e\uc758 32-m \uc790\ub9ac\uac00 \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\uc640 \uc77c\uce58\ud558\ub294 \ubaa8\ub4e0 IP\ub4e4\uc774 \ud3ec\ud568\ub418\uac8c \ub41c\ub2e4.<\/p>\r\n<p>\uc608\ub97c \ub4e4\uc5b4 \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\uac00 194.85.160.176\uc774\uace0, \ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c\uac00 255.255.255.248\uc778 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574 \ubcf4\uc790. \uc774 \uacbd\uc6b0, \uc774 \ub124\ud2b8\uc6cc\ud06c\uc5d0\ub294 194.85.160.176\ubd80\ud130 194.85.160.183\uae4c\uc9c0\uc758 8\uac1c\uc758 IP \uc8fc\uc18c\uac00 \ud3ec\ud568\ub41c\ub2e4.<\/p>\r\n<p>\uc5b4\ub5a4 \ub124\ud2b8\uc6cc\ud06c\uc5d0 \uc18d\ud574\uc788\ub294 IP \uc8fc\uc18c\ub4e4\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\uc640 \ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c\ub97c \uad6c\ud574\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub2f5\uc774 \uc5ec\ub7ec \uac1c\uc778 \uacbd\uc6b0\uc5d0\ub294 \uac00\uc7a5 \ud06c\uae30\uac00 \uc791\uc740(\ud3ec\ud568\ub418\ub294 IP \uc8fc\uc18c\uac00 \uac00\uc7a5 \uc801\uc740, \uc989 m\uc774 \ucd5c\uc18c\uc778) \ub124\ud2b8\uc6cc\ud06c\ub97c \uad6c\ud558\ub3c4\ub85d \ud55c\ub2e4.<\/p>","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc815\uc218 n(1&le;n&le;1,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c n\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \ucef4\ud4e8\ud130\uc758 IP \uc8fc\uc18c\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub124\ud2b8\uc6cc\ud06c \uc8fc\uc18c\ub97c, \ub458\uc9f8 \uc904\uc5d0 \ub124\ud2b8\uc6cc\ud06c \ub9c8\uc2a4\ud06c\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2064","problem_lang":"1","title":"IP Networks","description":"<p>Alex is administrator of IP networks. His clients have a bunch of individual IP addresses and he decided to group all those IP addresses into the smallest possible IP network.<\/p>\r\n\r\n<p>Each IP address is a 4-byte number that is written byte-by-byte in a decimal dot-separated notation &ldquo;byte0.byte1.byte2.byte3&rdquo; (quotes are added for clarity). Each byte is written as a decimal number from 0 to 255 (inclusive) without extra leading zeroes.<\/p>\r\n\r\n<p>IP network is described by two 4-byte numbers &mdash; network address and network mask. Both network address and network mask are written in the same notation as IP addresses.<\/p>\r\n\r\n<p>In order to understand the meaning of network address and network mask you have to consider their binary representation. Binary representation of IP address, network address, and network mask consists of 32 bits: 8 bits for byte0 (most significant to least significant), followed by 8 bits for byte1, followed by 8 bits for byte2, and followed by 8 bits for byte3.<\/p>\r\n\r\n<p>IP network contains a range of 2n IP addresses where 0 &le; n &le; 32. Network mask always has 32 &minus; n first bits set to one, and n last bits set to zero in its binary representation. Network address has arbitrary 32 &minus; n first bits, and n last bits set to zero in its binary representation. IP network contains all IP addresses whose 32 &minus; n first bits are equal to 32 &minus; n first bits of network address with arbitrary n last bits. We say that one IP network is smaller than the other IP network if it contains fewer IP addresses.<\/p>\r\n\r\n<p>For example, IP network with network address 194.85.160.176 and network mask 255.255.255.248 contains 8 IP addresses from 194.85.160.176 to 194.85.160.183 (inclusive).<\/p>\r\n","input":"<p>The first line of the input file contains a single integer number m (1 &le; m &le; 1000). The following m lines contain IP addresses, one address on a line. Each IP address may appear more than once in the input file.<\/p>\r\n","output":"<p>Write to the output file two lines that describe the smallest possible IP network that contains all IP addresses from the input file. Write network address on the first line and network mask on the second line.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]