시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 832 18 15 29.412%

문제

네버랜드는 한국에서 가장 큰 규모를 자랑하는 동물원이다. 이번에 이 동물원은 야생 상태와 흡사한 생태 단지를 만들기 위해서 근처 부지를 구입했다.

동물원에서 가장 인기있는 동물은 원숭이이다. 원숭이는 점프하고 나무를 기어 오르는 것과 같은 기술을 이용해서 남녀노소 모든 방문객을 즐겁게 해준다.

원숭이는 크게 두 종으로 나눌 수 있다. 한 종은 나무를 오르고, 코코넛을 따는 것에 특화되어 있는 종이고, 다른 종은 코코넛을 여는데 특화되어있다.

첫 번째 원숭이 종은 총 N마리, 두 번째는 M마리가 있다. 번호는 둘다 모두 1부터 N까지 매겨져 있다.

첫 번째 종의 원숭이 중 k번째 원숭이는 오를 나무를 찾아 첫 코코넛을 따는데 Ak초가 걸린다. 이후에 Bk초마다 새로운 코코넛을 생산한다.

두 번째 종의 원숭이 중 k번째 원숭이는 코코넛을 여는 좋은 도구를 찾고, 첫 코코넛을 여는데 Ck초가 걸린다. 이후 Dk초마다 새로운 코코넛을 열 수 있다.

안타깝게도, 두 원숭이 종은 서로 사이가 좋지 않기 때문에 동시에 같은 장소에 있을 수 없다. 따라서, 동물원 사육사는 첫 번째 원숭이 종이 코코넛을 모두 따면 즉시 우리로 돌려 보내고 두 번째 종을 부를 것이다.

동물원 사육사는 첫 번째 종이 모든 코코넛을 따는 즉시 도착한다. 우리로 보내는 시간과 우리에서 원숭이를 불러오는 시간은 무시할 수 있을 만큼 매우 작다.

상근이는 두 번째 종을 매우 좋아한다. 하지만, 언제 가야 되는지를 모르고 있다. 원숭이가 생태 단지에 있는 전체 시간이 주어졌을 때, 언제 도착하면 두 번째 원숭이를 볼 수 있는지 구하는 프로그램을 작성하시오. 상근이는 전체 코코넛의 개수를 알 수 없다.

입력

첫째 줄에 원숭이가 생태 부지에 있는 전체 시간 T (1 ≤ T ≤ 1,000,000,000)가 주어진다.

둘째 줄에는 첫 번째 원숭이의 수 N이 주어진다. (1 ≤ N ≤ 100)

다음 N개 줄에는 k번째 원숭이의 정보 Ak와 Bk가 주어진다. (1 ≤ Ak, Bk ≤ 1,000,000,000)

다음 줄에는 두 번째 원숭이의 수 M이 주어진다. (1 ≤ M ≤ 100)

다음 M개 줄에는 k번째 원숭이의 정보 Ck와 Dk가 주어진다. (1 ≤ Ck, Dk, ≤ 1,000,000,000)

출력

첫째 줄에 첫 번째 종이 우리로 들어가는 시간이자 두 번째 종이 생태 단지로 들어오는 시간을 출력한다.

예제 입력 1

12
1
3 1
1
5 1

예제 출력 1

5

힌트

예제의 경우는 코코넛이 세 개 있는 경우다.

첫 번째 종은 한 마리다. 이 원숭이가 나무를 올라서 첫 코코넛을 따는데 걸리는 시간은 3초이다. 그 다음 4초에 두 번째 코코넛을 따며, 5초에 세 번째 코코넛을 딴다.

사육사는 문을 연지 5초가 지났을 때, 생태 단지에 들어와서 첫 원숭이를 우리로 돌려보내고 두 번째 종을 생태 단지로 불러온다. 이 시간부터 두 번째 종을 볼 수 있기 때문에 정답은 5이다.

문을 연 시간부터 10초가 지나면 도구를 찾고 첫 코코넛을 따고, 11초에 두 번째 코코넛, 12초에 세 번째 코코넛을 딴다. 이제 사육사가 들어와서 다시 원숭이를 우리로 돌려 보낸다.

[{"problem_id":"2962","problem_lang":"0","title":"\ub3d9\ubb3c\uc6d0 \ud655\uc7a5","description":"<p>\r\n\t\ub124\ubc84\ub79c\ub4dc\ub294 \ud55c\uad6d\uc5d0\uc11c \uac00\uc7a5 \ud070 \uaddc\ubaa8\ub97c \uc790\ub791\ud558\ub294 \ub3d9\ubb3c\uc6d0\uc774\ub2e4. \uc774\ubc88\uc5d0 \uc774 \ub3d9\ubb3c\uc6d0\uc740 \uc57c\uc0dd \uc0c1\ud0dc\uc640 \ud761\uc0ac\ud55c \uc0dd\ud0dc \ub2e8\uc9c0\ub97c \ub9cc\ub4e4\uae30 \uc704\ud574\uc11c \uadfc\ucc98 \ubd80\uc9c0\ub97c \uad6c\uc785\ud588\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub3d9\ubb3c\uc6d0\uc5d0\uc11c \uac00\uc7a5 \uc778\uae30\uc788\ub294 \ub3d9\ubb3c\uc740 \uc6d0\uc22d\uc774\uc774\ub2e4. \uc6d0\uc22d\uc774\ub294 \uc810\ud504\ud558\uace0 \ub098\ubb34\ub97c \uae30\uc5b4 \uc624\ub974\ub294 \uac83\uacfc \uac19\uc740 \uae30\uc220\uc744 \uc774\uc6a9\ud574\uc11c \ub0a8\ub140\ub178\uc18c \ubaa8\ub4e0 \ubc29\ubb38\uac1d\uc744 \uc990\uac81\uac8c \ud574\uc900\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc6d0\uc22d\uc774\ub294 \ud06c\uac8c \ub450 \uc885\uc73c\ub85c \ub098\ub20c \uc218 \uc788\ub2e4. \ud55c \uc885\uc740 \ub098\ubb34\ub97c \uc624\ub974\uace0, \ucf54\ucf54\ub11b\uc744 \ub530\ub294 \uac83\uc5d0 \ud2b9\ud654\ub418\uc5b4 \uc788\ub294 \uc885\uc774\uace0, \ub2e4\ub978 \uc885\uc740 \ucf54\ucf54\ub11b\uc744 \uc5ec\ub294\ub370 \ud2b9\ud654\ub418\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uccab \ubc88\uc9f8 \uc6d0\uc22d\uc774 \uc885\uc740 \ucd1d N\ub9c8\ub9ac, \ub450 \ubc88\uc9f8\ub294 M\ub9c8\ub9ac\uac00 \uc788\ub2e4. \ubc88\ud638\ub294 \ub458\ub2e4 \ubaa8\ub450 1\ubd80\ud130 N\uae4c\uc9c0 \ub9e4\uaca8\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uccab \ubc88\uc9f8 \uc885\uc758 \uc6d0\uc22d\uc774 \uc911 k\ubc88\uc9f8 \uc6d0\uc22d\uc774\ub294 \uc624\ub97c \ub098\ubb34\ub97c \ucc3e\uc544 \uccab \ucf54\ucf54\ub11b\uc744 \ub530\ub294\ub370 A<sub>k<\/sub>\ucd08\uac00 \uac78\ub9b0\ub2e4. \uc774\ud6c4\uc5d0 B<sub>k<\/sub>\ucd08\ub9c8\ub2e4 \uc0c8\ub85c\uc6b4 \ucf54\ucf54\ub11b\uc744 \uc0dd\uc0b0\ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub450 \ubc88\uc9f8 \uc885\uc758 \uc6d0\uc22d\uc774 \uc911 k\ubc88\uc9f8 \uc6d0\uc22d\uc774\ub294 \ucf54\ucf54\ub11b\uc744 \uc5ec\ub294 \uc88b\uc740 \ub3c4\uad6c\ub97c \ucc3e\uace0, \uccab \ucf54\ucf54\ub11b\uc744 \uc5ec\ub294\ub370 C<sub>k<\/sub>\ucd08\uac00 \uac78\ub9b0\ub2e4. \uc774\ud6c4 D<sub>k<\/sub>\ucd08\ub9c8\ub2e4 \uc0c8\ub85c\uc6b4 \ucf54\ucf54\ub11b\uc744 \uc5f4 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc548\ud0c0\uae5d\uac8c\ub3c4, \ub450 \uc6d0\uc22d\uc774 \uc885\uc740 \uc11c\ub85c \uc0ac\uc774\uac00 \uc88b\uc9c0 \uc54a\uae30 \ub54c\ubb38\uc5d0 \ub3d9\uc2dc\uc5d0 \uac19\uc740 \uc7a5\uc18c\uc5d0 \uc788\uc744 \uc218 \uc5c6\ub2e4. \ub530\ub77c\uc11c, \ub3d9\ubb3c\uc6d0 \uc0ac\uc721\uc0ac\ub294 \uccab \ubc88\uc9f8 \uc6d0\uc22d\uc774 \uc885\uc774 \ucf54\ucf54\ub11b\uc744 \ubaa8\ub450 \ub530\uba74 \uc989\uc2dc \uc6b0\ub9ac\ub85c \ub3cc\ub824 \ubcf4\ub0b4\uace0 \ub450 \ubc88\uc9f8 \uc885\uc744 \ubd80\ub97c \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub3d9\ubb3c\uc6d0 \uc0ac\uc721\uc0ac\ub294 \uccab \ubc88\uc9f8 \uc885\uc774 \ubaa8\ub4e0 \ucf54\ucf54\ub11b\uc744 \ub530\ub294 \uc989\uc2dc \ub3c4\ucc29\ud55c\ub2e4. \uc6b0\ub9ac\ub85c \ubcf4\ub0b4\ub294 \uc2dc\uac04\uacfc \uc6b0\ub9ac\uc5d0\uc11c \uc6d0\uc22d\uc774\ub97c \ubd88\ub7ec\uc624\ub294 \uc2dc\uac04\uc740 \ubb34\uc2dc\ud560 \uc218 \uc788\uc744 \ub9cc\ud07c \ub9e4\uc6b0 \uc791\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \ub450 \ubc88\uc9f8 \uc885\uc744 \ub9e4\uc6b0 \uc88b\uc544\ud55c\ub2e4. \ud558\uc9c0\ub9cc, \uc5b8\uc81c \uac00\uc57c \ub418\ub294\uc9c0\ub97c \ubaa8\ub974\uace0 \uc788\ub2e4. \uc6d0\uc22d\uc774\uac00 \uc0dd\ud0dc \ub2e8\uc9c0\uc5d0 \uc788\ub294 \uc804\uccb4 \uc2dc\uac04\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc5b8\uc81c \ub3c4\ucc29\ud558\uba74 \ub450 \ubc88\uc9f8 \uc6d0\uc22d\uc774\ub97c \ubcfc \uc218 \uc788\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc0c1\uadfc\uc774\ub294 \uc804\uccb4 \ucf54\ucf54\ub11b\uc758 \uac1c\uc218\ub97c \uc54c \uc218 \uc5c6\ub2e4.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \uc6d0\uc22d\uc774\uac00 \uc0dd\ud0dc \ubd80\uc9c0\uc5d0 \uc788\ub294 \uc804\uccb4 \uc2dc\uac04 T (1 &le; T &le; 1,000,000,000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub458\uc9f8 \uc904\uc5d0\ub294 \uccab \ubc88\uc9f8 \uc6d0\uc22d\uc774\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 100)<\/p>\r\n\r\n<p>\r\n\t\ub2e4\uc74c N\uac1c \uc904\uc5d0\ub294 k\ubc88\uc9f8 \uc6d0\uc22d\uc774\uc758 \uc815\ubcf4 A<sub>k<\/sub>\uc640 B<sub>k<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; A<sub>k<\/sub>, B<sub>k<\/sub> &le; 1,000,000,000)<\/p>\r\n\r\n<p>\r\n\t\ub2e4\uc74c \uc904\uc5d0\ub294 \ub450 \ubc88\uc9f8 \uc6d0\uc22d\uc774\uc758 \uc218 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; M &le; 100)<\/p>\r\n\r\n<p>\r\n\t\ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 k\ubc88\uc9f8 \uc6d0\uc22d\uc774\uc758 \uc815\ubcf4 C<sub>k<\/sub>\uc640 D<sub>k<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; C<sub>k<\/sub>, D<sub>k<\/sub>, &le; 1,000,000,000)<\/p>\r\n","output":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \uccab \ubc88\uc9f8 \uc885\uc774 \uc6b0\ub9ac\ub85c \ub4e4\uc5b4\uac00\ub294 \uc2dc\uac04\uc774\uc790 \ub450 \ubc88\uc9f8 \uc885\uc774 \uc0dd\ud0dc \ub2e8\uc9c0\ub85c \ub4e4\uc5b4\uc624\ub294 \uc2dc\uac04\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"\r\n<p>\r\n\t\uc608\uc81c\uc758 \uacbd\uc6b0\ub294 \ucf54\ucf54\ub11b\uc774 \uc138 \uac1c \uc788\ub294 \uacbd\uc6b0\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uccab \ubc88\uc9f8 \uc885\uc740 \ud55c \ub9c8\ub9ac\ub2e4. \uc774 \uc6d0\uc22d\uc774\uac00 \ub098\ubb34\ub97c \uc62c\ub77c\uc11c \uccab \ucf54\ucf54\ub11b\uc744 \ub530\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 3\ucd08\uc774\ub2e4. \uadf8 \ub2e4\uc74c 4\ucd08\uc5d0 \ub450 \ubc88\uc9f8 \ucf54\ucf54\ub11b\uc744 \ub530\uba70, 5\ucd08\uc5d0 \uc138 \ubc88\uc9f8 \ucf54\ucf54\ub11b\uc744 \ub534\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0ac\uc721\uc0ac\ub294 \ubb38\uc744 \uc5f0\uc9c0 5\ucd08\uac00 \uc9c0\ub0ac\uc744 \ub54c, \uc0dd\ud0dc \ub2e8\uc9c0\uc5d0 \ub4e4\uc5b4\uc640\uc11c \uccab \uc6d0\uc22d\uc774\ub97c \uc6b0\ub9ac\ub85c \ub3cc\ub824\ubcf4\ub0b4\uace0 \ub450 \ubc88\uc9f8 \uc885\uc744 \uc0dd\ud0dc \ub2e8\uc9c0\ub85c \ubd88\ub7ec\uc628\ub2e4. \uc774 \uc2dc\uac04\ubd80\ud130 \ub450 \ubc88\uc9f8 \uc885\uc744 \ubcfc \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc815\ub2f5\uc740 5\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ubb38\uc744 \uc5f0 \uc2dc\uac04\ubd80\ud130 10\ucd08\uac00 \uc9c0\ub098\uba74 \ub3c4\uad6c\ub97c \ucc3e\uace0 \uccab \ucf54\ucf54\ub11b\uc744 \ub530\uace0, 11\ucd08\uc5d0 \ub450 \ubc88\uc9f8 \ucf54\ucf54\ub11b, 12\ucd08\uc5d0 \uc138 \ubc88\uc9f8 \ucf54\ucf54\ub11b\uc744 \ub534\ub2e4. \uc774\uc81c \uc0ac\uc721\uc0ac\uac00 \ub4e4\uc5b4\uc640\uc11c \ub2e4\uc2dc \uc6d0\uc22d\uc774\ub97c \uc6b0\ub9ac\ub85c \ub3cc\ub824 \ubcf4\ub0b8\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2962","problem_lang":"1","title":"SVADA","description":"<p>The local zoo has acquired a large open garden in which animals may freely move as in their natural habitats and entertain visitors with their usual shenanigans.&nbsp;<\/p>\r\n\r\n<p>The most popular animals are monkeys. With their climbing and jumping and other skills, they delight old and young visitors alike.&nbsp;<\/p>\r\n\r\n<p>One species of monkey has specialized in climbing tall trees and picking off coconuts. Another species has specialized in breaking them open.&nbsp;<\/p>\r\n\r\n<p>There are N monkeys of the first type (numbered 1 through N) and M monkeys of the second type (numbered 1 through M).&nbsp;<\/p>\r\n\r\n<p>Monkey k of the first type takes A<sub>k<\/sub> seconds to find a good spot on the tree, after which it picks off its first coconut. After that the monkey produces a new coconut every B<sub>k<\/sub> seconds.&nbsp;<\/p>\r\n\r\n<p>Monkey k of the second type takes C<sub>k<\/sub> seconds to find a good tool for opening the coconuts, after which it opens its first coconut. After that the monkey opens another coconut every D<sub>k<\/sub> seconds.&nbsp;<\/p>\r\n\r\n<p>Unfortunately, the second type of monkey is extremely aggressive so the two types may not be in the garden at the same time. Therefore, zoo keepers will chase away the first type of monkeys as soon as they have picked off all the coconuts. Similarly, if monkeys of the same type stay too long after opening all the coconuts, fights will ensue. Because of that, zoo keepers will send them away as soon as they have opened all the coconuts.&nbsp;<\/p>\r\n\r\n<p>The zoo keepers first arrive immediately after all coconuts have been picked, and again immediately after the monkeys open them all. The time needed for monkeys to enter or leave the garden is also negligibly small.&nbsp;<\/p>\r\n\r\n<p>Tomislav especially likes the second type of monkey, but can never guess when to arrive in order to see them. Help him calculate the time when the second type arrives if he knows the total time that monkeys spent in the garden, but does not know the number of coconuts in the garden.&nbsp;<\/p>\r\n","input":"<p>The first line contains the integer T (1 &le; T &le; 1 000 000 000), the total time that monkeys spent in the garden, in seconds.&nbsp;<\/p>\r\n\r\n<p>The next line contains the integer N (1 &le; N &le; 100), the number of monkeys of the first type.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains two integers A<sub>k<\/sub> and B<sub>k<\/sub> (1 &le; A<sub>k<\/sub>, B<sub>k<\/sub> &le; 1 000 000 000), how fast monkey k of the first type is.&nbsp;<\/p>\r\n\r\n<p>The next line contains the integer M (1 &le; M &le; 100), the number of monkeys of the second type.&nbsp;<\/p>\r\n\r\n<p>Each of the following M lines contains two integers C<sub>k<\/sub> and D<sub>k<\/sub> (1 &le; C<sub>k<\/sub>, D<sub>k<\/sub> &le; 1 000 000 000), how fast monkey k of the second type is.<\/p>\r\n","output":"<p>Output the number of seconds between the arrival of the first type of monkeys and the arrival of the second type.<\/p>\r\n","hint":"<p>In the example, it turns out there are three coconuts in the garden:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>The monkey of the first type picks off the first coconut 3 seconds after the garden was opened.&nbsp;<\/li>\r\n\t<li>The monkey picks off the second coconut 4 seconds after the garden is opened.&nbsp;<\/li>\r\n\t<li>The monkey picks off the third coconut 5 seconds after the garden is opened.&nbsp;<\/li>\r\n\t<li>Zoo keepers come in and escort the monkey out. The monkey of the second type arrives. The output is 5 because this is when Tomislav wants to arrive.&nbsp;<\/li>\r\n\t<li>The monkey of the second type opens the first coconut 10 seconds after the garden was opened.&nbsp;<\/li>\r\n\t<li>The monkey opens the second coconut 11 seconds after the garden was opened.&nbsp;<\/li>\r\n\t<li>The monkey opens the third coconut 12 seconds after the garden was opened.&nbsp;<\/li>\r\n\t<li>Zoo keepers come in and escort the monkey out.&nbsp;<\/li>\r\n<\/ul>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2008/2009 > Contest #2 4번

  • 문제를 번역한 사람: baekjoon
  • 데이터를 추가한 사람: doju