시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 284 76 55 35.948%

문제

동물원에서 막 탈출한 원숭이 한 마리가 세상구경을 하고 있다. 그 원숭이는 좀 특이한 원숭이였다. 어떤 것도 꿰뚫어볼 수 있는 날카로운 눈을 가진 기이한 원숭이였다. 부드러운 눈을 가진 멍멍이는 언제나 날카로운 눈을 가진 원숭이를 부러워했지만 한편으로는 매우 질투했다.

어느 날 멍멍이는 원숭이의 날카로운 눈이 너무 샘나서 원숭이를 직접 패고 싶었지만 날카로운 눈으로 찌를까봐 무서워서 때리지는 못하고 대신, 원숭이에게 문제 하나를 던져주었다. 그 문제는 다음과 같다.

정수가 여러 개 모여 있는 정수더미가 있다. 그 안에 어떤 특정한 정수 하나만 홀수개 존재하고 나머지 정수는 모두 짝수개 존재한다. 정수더미 속에서 날카로운 눈을 이용해 홀수개 존재하는 정수를 찾아야 하는 문제이다.

근데 멍멍이가 문제를 전달해 주려다가 생각해보니 정수더미 안에 정수가 적게 있으면 문제가 너무 쉬워지게 되는 것이다. 그래서 정수더미안에 정수를 무지막지하게 많이 넣기로 했다. 정수더미가 주어졌을 때, 그 안에 홀수개 존재하는 정수를 찾는 프로그램을 작성하시오.

입력

첫째 줄에 입력의 개수 N이 주어진다. N은 1이상 20,000이하인 수이다. 그 다음 줄부터 N줄에 걸쳐 세 개의 정수 A, C, B가 주어지는데, 이것은 A, A+B, A+2B, ..., A+kB (단, A+kB ≦ C) 의 정수들이 정수더미 안에 있다는 것을 나타낸다. A, B, C는 1보다 크거나 같고 2,147,483,647보다 작거나 같은 정수이다. 정수더미는 N개의 입력이 나타내는 정수들을 모두 포함한다.

출력

첫째 줄에 정수 두 개를 출력하는데, 첫 번째는 홀수개 존재하는 정수를 출력하고, 두 번째는 그 정수가 몇 개 들어있는지 출력한다. 만약 홀수개 존재하는 정수가 없다면 NOTHING을 출력한다.

예제 입력 1

4
1 10 1
4 4 1
1 5 1
6 10 1

예제 출력 1

4 3

힌트

예제로 주어진 정수더미안에는 4가 3개, 4를 제외한 나머지 수들은 각각 2개씩 들어있다. 따라서 답은 “4 3” 이 된다.

[{"problem_id":"1637","problem_lang":"0","title":"\ub0a0\uce74\ub85c\uc6b4 \ub208","description":"<p>\ub3d9\ubb3c\uc6d0\uc5d0\uc11c \ub9c9 \ud0c8\ucd9c\ud55c \uc6d0\uc22d\uc774 \ud55c \ub9c8\ub9ac\uac00 \uc138\uc0c1\uad6c\uacbd\uc744 \ud558\uace0 \uc788\ub2e4. \uadf8 \uc6d0\uc22d\uc774\ub294 \uc880 \ud2b9\uc774\ud55c \uc6d0\uc22d\uc774\uc600\ub2e4. \uc5b4\ub5a4 \uac83\ub3c4 \uaff0\ub6ab\uc5b4\ubcfc \uc218 \uc788\ub294 \ub0a0\uce74\ub85c\uc6b4 \ub208\uc744 \uac00\uc9c4 \uae30\uc774\ud55c \uc6d0\uc22d\uc774\uc600\ub2e4. \ubd80\ub4dc\ub7ec\uc6b4 \ub208\uc744 \uac00\uc9c4 \uba4d\uba4d\uc774\ub294 \uc5b8\uc81c\ub098 \ub0a0\uce74\ub85c\uc6b4 \ub208\uc744 \uac00\uc9c4 \uc6d0\uc22d\uc774\ub97c \ubd80\ub7ec\uc6cc\ud588\uc9c0\ub9cc \ud55c\ud3b8\uc73c\ub85c\ub294 \ub9e4\uc6b0 \uc9c8\ud22c\ud588\ub2e4.<\/p>\r\n<p>\uc5b4\ub290 \ub0a0 \uba4d\uba4d\uc774\ub294 \uc6d0\uc22d\uc774\uc758 \ub0a0\uce74\ub85c\uc6b4 \ub208\uc774 \ub108\ubb34 \uc0d8\ub098\uc11c \uc6d0\uc22d\uc774\ub97c \uc9c1\uc811 \ud328\uace0 \uc2f6\uc5c8\uc9c0\ub9cc \ub0a0\uce74\ub85c\uc6b4 \ub208\uc73c\ub85c \ucc0c\ub97c\uae4c\ubd10 \ubb34\uc11c\uc6cc\uc11c \ub54c\ub9ac\uc9c0\ub294 \ubabb\ud558\uace0 \ub300\uc2e0, \uc6d0\uc22d\uc774\uc5d0\uac8c \ubb38\uc81c \ud558\ub098\ub97c \ub358\uc838\uc8fc\uc5c8\ub2e4. \uadf8 \ubb38\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n<p>\uc815\uc218\uac00 \uc5ec\ub7ec \uac1c \ubaa8\uc5ec \uc788\ub294 \uc815\uc218\ub354\ubbf8\uac00 \uc788\ub2e4. \uadf8 \uc548\uc5d0 \uc5b4\ub5a4 \ud2b9\uc815\ud55c \uc815\uc218 \ud558\ub098\ub9cc \ud640\uc218\uac1c \uc874\uc7ac\ud558\uace0 \ub098\uba38\uc9c0 \uc815\uc218\ub294 \ubaa8\ub450 \uc9dd\uc218\uac1c \uc874\uc7ac\ud55c\ub2e4. \uc815\uc218\ub354\ubbf8 \uc18d\uc5d0\uc11c \ub0a0\uce74\ub85c\uc6b4 \ub208\uc744 \uc774\uc6a9\ud574 \ud640\uc218\uac1c \uc874\uc7ac\ud558\ub294 \uc815\uc218\ub97c \ucc3e\uc544\uc57c \ud558\ub294 \ubb38\uc81c\uc774\ub2e4.<\/p>\r\n<p>\uadfc\ub370 \uba4d\uba4d\uc774\uac00 \ubb38\uc81c\ub97c \uc804\ub2ec\ud574 \uc8fc\ub824\ub2e4\uac00 \uc0dd\uac01\ud574\ubcf4\ub2c8 \uc815\uc218\ub354\ubbf8 \uc548\uc5d0 \uc815\uc218\uac00 \uc801\uac8c \uc788\uc73c\uba74 \ubb38\uc81c\uac00 \ub108\ubb34 \uc26c\uc6cc\uc9c0\uac8c \ub418\ub294 \uac83\uc774\ub2e4. \uadf8\ub798\uc11c \uc815\uc218\ub354\ubbf8\uc548\uc5d0 \uc815\uc218\ub97c \ubb34\uc9c0\ub9c9\uc9c0\ud558\uac8c \ub9ce\uc774 \ub123\uae30\ub85c \ud588\ub2e4. \uc815\uc218\ub354\ubbf8\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uadf8 \uc548\uc5d0 \ud640\uc218\uac1c \uc874\uc7ac\ud558\ub294 \uc815\uc218\ub97c \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc785\ub825\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. N\uc740 1\uc774\uc0c1 20,000\uc774\ud558\uc778 \uc218\uc774\ub2e4. \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130 N\uc904\uc5d0 \uac78\uccd0 \uc138 \uac1c\uc758 \uc815\uc218 A, C, B\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\uac83\uc740 A, A+B, A+2B, ..., A+kB (\ub2e8, A+kB \u2266 C) \uc758 \uc815\uc218\ub4e4\uc774 \uc815\uc218\ub354\ubbf8 \uc548\uc5d0 \uc788\ub2e4\ub294 \uac83\uc744 \ub098\ud0c0\ub0b8\ub2e4. A, B, C\ub294 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0 2,147,483,647\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc740 \uc815\uc218\uc774\ub2e4. \uc815\uc218\ub354\ubbf8\ub294 N\uac1c\uc758 \uc785\ub825\uc774 \ub098\ud0c0\ub0b4\ub294 \uc815\uc218\ub4e4\uc744 \ubaa8\ub450 \ud3ec\ud568\ud55c\ub2e4.<\/p>","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc815\uc218 \ub450 \uac1c\ub97c \ucd9c\ub825\ud558\ub294\ub370, \uccab \ubc88\uc9f8\ub294 \ud640\uc218\uac1c \uc874\uc7ac\ud558\ub294 \uc815\uc218\ub97c \ucd9c\ub825\ud558\uace0, \ub450 \ubc88\uc9f8\ub294 \uadf8 \uc815\uc218\uac00 \uba87 \uac1c \ub4e4\uc5b4\uc788\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \ud640\uc218\uac1c \uc874\uc7ac\ud558\ub294 \uc815\uc218\uac00 \uc5c6\ub2e4\uba74 NOTHING\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>","hint":"<p>\uc608\uc81c\ub85c \uc8fc\uc5b4\uc9c4 \uc815\uc218\ub354\ubbf8\uc548\uc5d0\ub294 4\uac00 3\uac1c, 4\ub97c \uc81c\uc678\ud55c \ub098\uba38\uc9c0 \uc218\ub4e4\uc740 \uac01\uac01 2\uac1c\uc529 \ub4e4\uc5b4\uc788\ub2e4. \ub530\ub77c\uc11c \ub2f5\uc740 &ldquo;4 3&rdquo; \uc774 \ub41c\ub2e4.<\/p>","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1637","problem_lang":"1","title":"Showstopper","description":"<p>Data-mining huge data sets can be a painful and long lasting process if we are not aware of tiny patterns existing within those data sets.&nbsp;<\/p>\r\n\r\n<p>One reputable company has recently discovered a tiny bug in their hardware video processing solution and they are trying to create software workaround. To achieve maximum performance they use their chips in pairs and all data objects in memory should have even number of references. Under certain circumstances this rule became violated and exactly one data object is referred by odd number of references. They are ready to launch product and this is the only showstopper they have. They need YOU to help them resolve this critical issue in most efficient way.&nbsp;<\/p>\r\n\r\n<p>Can you help them?&nbsp;<\/p>\r\n","input":"<p>Input file consists from multiple data sets separated by one or more empty lines.&nbsp;<\/p>\r\n\r\n<p>Each data set represents a sequence of 32-bit (positive) integers (references) which are stored in compressed way.&nbsp;<\/p>\r\n\r\n<p>Each line of input set consists from three single space separated 32-bit (positive) integers X Y Z and they represent following sequence of references: X, X+Z, X+2*Z, X+3*Z, &hellip;, X+K*Z, &hellip;(while (X+K*Z)&lt;=Y).&nbsp;<\/p>\r\n\r\n<p>Your task is to data-mine input data and for each set determine weather data were corrupted, which reference is occurring odd number of times, and count that reference.<\/p>\r\n","output":"<p>For each input data set you should print to standard output new line of text with either &ldquo;no corruption&rdquo; (low case) or two integers separated by single space (first one is reference that occurs odd number of times and second one is count of that reference).&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]