시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB1631007265.455%

문제

고대에 유명한 조각가인 오세준은 또다른 걸작을 만들기 위한 준비 작업을 하고 있다. 그래서 가로 세로 크기가 W1×H1, W2×H2, ... Wn×Hn인 직사각형 모양의 대리석 석판이 여러 장 필요한 상태이다.

얼마 전, 세준이는 커다란 직사각형 석판을 받았다. 그래서 이것을 원하는 크기에 해당하는 석판들로 쪼개고 싶어한다. 석판은 임의의 정수 위치에서 가로나 세로로 완전히 잘라서 두 개의 직사각형 모양으로 자를 수 있다. 하지만 작은 석판들을 붙여서 큰 판으로 만들 수는 없다. 또한, 석판에는 일정한 방향으로 무늬가 있기 때문에, 회전해서 원하는 크기를 만들 수는 없다. 다시 말해, A×B라는 크기로 잘랐다면 이것을 B×A라는 크기에 맞추어 사용할 수는 없다는 뜻이다. 석판에서 원하는 크기에 해당하는 면을 모두 잘라 낸 뒤, 어느 크기로도 쪼갤 수 없어 남게 된 면들은 버려진다. 세준이는 원판을 어떻게 자르면 이러한 손실을 가능한 한 줄일 수 있을지 알고 싶어한다.

가로 길이가 21이고 세로 길이가 11인 커다란 석판을 예로 들어 보자. 그리고 우리에게 필요한 석판 크기의 종류가 10×4, 6×2, 7×5, 그리고 15×10이라고 가정하자. 이 경우 석판을 아래 그림과 같이 자르면, 각 크기에 해당하는 석판을 각각 두 장, 세 장, 세 장씩 얻으면서 손실되는 영역의 넓이는 10으로 가장 작게 된다.

15×10의 크기는 한 장이라도 넣을 경우 전체의 손실이 너무 커지기 때문에, 만들기를 포기한 것이다. 한편으로, 가장 넓이가 작은 돌판만으로 여러 장을 잘라 낸다고 해도 손실을 이보다 줄일 수 없다는 것은, 손으로 따져 보면 금방 알 수 있다.

돌판의 원래 크기와 우리가 원하는 돌판 크기들을 입력 받은 뒤, 가장 효율적으로 돌판을 자르는 방법을 계산하여 그때 손실되는 최소한의 돌판 면적의 합을 구하는 프로그램을 작성하시오. 어느 크기의 돌판을 얼마나 얻느냐가 아니라, 어떻게 자르든 손실을 줄이는 것이 목적이다.

입력

첫 줄에는 대리석 원판의 크기를 나타내는 W(가로 길이), H(세로 길이)가 들어있다. 다음 줄에는 우리가 원하는 크기의 개수 N이 있고, 그다음 N줄에는 그 크기들이 역시 가로, 세로 순으로 들어있다. 1 ≤ W, H ≤ 600이고 0 < N ≤ 200이다. 잘라야 하는 크기는 가로· 세로 모두 1 이상이고 원판의 크기 이하이다.

출력

정수 하나를 출력한다. 원판을 가장 현명하게 잘랐을 때 손실되는 면적의 최솟값이다.

예제 입력 1

21 11
4
10 4
6 2
7 5
15 10

예제 출력 1

10
[{"problem_id":"1691","problem_lang":"0","title":"\uc11d\ud310","description":"<p>\uace0\ub300\uc5d0 \uc720\uba85\ud55c \uc870\uac01\uac00\uc778 \uc624\uc138\uc900\uc740 \ub610\ub2e4\ub978 \uac78\uc791\uc744 \ub9cc\ub4e4\uae30 \uc704\ud55c \uc900\ube44 \uc791\uc5c5\uc744 \ud558\uace0 \uc788\ub2e4. \uadf8\ub798\uc11c \uac00\ub85c \uc138\ub85c \ud06c\uae30\uac00 W<sub>1<\/sub>&times;H<sub>1<\/sub>, W<sub>2<\/sub>&times;H<sub>2<\/sub>, ... W<sub>n<\/sub>&times;H<sub>n<\/sub>\uc778 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc758 \ub300\ub9ac\uc11d \uc11d\ud310\uc774 \uc5ec\ub7ec \uc7a5 \ud544\uc694\ud55c \uc0c1\ud0dc\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc5bc\ub9c8 \uc804, \uc138\uc900\uc774\ub294 \ucee4\ub2e4\ub780 \uc9c1\uc0ac\uac01\ud615 \uc11d\ud310\uc744 \ubc1b\uc558\ub2e4. \uadf8\ub798\uc11c \uc774\uac83\uc744 \uc6d0\ud558\ub294 \ud06c\uae30\uc5d0 \ud574\ub2f9\ud558\ub294 \uc11d\ud310\ub4e4\ub85c \ucabc\uac1c\uace0 \uc2f6\uc5b4\ud55c\ub2e4. \uc11d\ud310\uc740 \uc784\uc758\uc758 \uc815\uc218 \uc704\uce58\uc5d0\uc11c \uac00\ub85c\ub098 \uc138\ub85c\ub85c \uc644\uc804\ud788 \uc798\ub77c\uc11c \ub450 \uac1c\uc758 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc73c\ub85c \uc790\ub97c \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc \uc791\uc740 \uc11d\ud310\ub4e4\uc744 \ubd99\uc5ec\uc11c \ud070 \ud310\uc73c\ub85c \ub9cc\ub4e4 \uc218\ub294 \uc5c6\ub2e4. \ub610\ud55c, \uc11d\ud310\uc5d0\ub294 \uc77c\uc815\ud55c \ubc29\ud5a5\uc73c\ub85c \ubb34\ub2ac\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0, \ud68c\uc804\ud574\uc11c \uc6d0\ud558\ub294 \ud06c\uae30\ub97c \ub9cc\ub4e4 \uc218\ub294 \uc5c6\ub2e4. \ub2e4\uc2dc \ub9d0\ud574, A&times;B\ub77c\ub294 \ud06c\uae30\ub85c \uc798\ub790\ub2e4\uba74 \uc774\uac83\uc744 B&times;A\ub77c\ub294 \ud06c\uae30\uc5d0 \ub9de\ucd94\uc5b4 \uc0ac\uc6a9\ud560 \uc218\ub294 \uc5c6\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc11d\ud310\uc5d0\uc11c \uc6d0\ud558\ub294 \ud06c\uae30\uc5d0 \ud574\ub2f9\ud558\ub294 \uba74\uc744 \ubaa8\ub450 \uc798\ub77c \ub0b8 \ub4a4, \uc5b4\ub290 \ud06c\uae30\ub85c\ub3c4 \ucabc\uac24 \uc218 \uc5c6\uc5b4 \ub0a8\uac8c \ub41c \uba74\ub4e4\uc740 \ubc84\ub824\uc9c4\ub2e4. \uc138\uc900\uc774\ub294 \uc6d0\ud310\uc744 \uc5b4\ub5bb\uac8c \uc790\ub974\uba74 \uc774\ub7ec\ud55c \uc190\uc2e4\uc744 \uac00\ub2a5\ud55c \ud55c \uc904\uc77c \uc218 \uc788\uc744\uc9c0 \uc54c\uace0 \uc2f6\uc5b4\ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/25f5dc52-e7b1-4477-b28b-66cb229b36cf\/-\/preview\/\" style=\"width: 263px; height: 141px;\" \/><\/p>\r\n\r\n<p>\uac00\ub85c \uae38\uc774\uac00 21\uc774\uace0 \uc138\ub85c \uae38\uc774\uac00 11\uc778 \ucee4\ub2e4\ub780 \uc11d\ud310\uc744 \uc608\ub85c \ub4e4\uc5b4 \ubcf4\uc790. \uadf8\ub9ac\uace0 \uc6b0\ub9ac\uc5d0\uac8c \ud544\uc694\ud55c \uc11d\ud310 \ud06c\uae30\uc758 \uc885\ub958\uac00 10&times;4, 6&times;2, 7&times;5, \uadf8\ub9ac\uace0 15&times;10\uc774\ub77c\uace0 \uac00\uc815\ud558\uc790. \uc774 \uacbd\uc6b0 \uc11d\ud310\uc744 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\uc774 \uc790\ub974\uba74, \uac01 \ud06c\uae30\uc5d0 \ud574\ub2f9\ud558\ub294 \uc11d\ud310\uc744 \uac01\uac01 \ub450 \uc7a5, \uc138 \uc7a5, \uc138 \uc7a5\uc529 \uc5bb\uc73c\uba74\uc11c \uc190\uc2e4\ub418\ub294 \uc601\uc5ed\uc758 \ub113\uc774\ub294 10\uc73c\ub85c \uac00\uc7a5 \uc791\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>15&times;10\uc758 \ud06c\uae30\ub294 \ud55c \uc7a5\uc774\ub77c\ub3c4 \ub123\uc744 \uacbd\uc6b0 \uc804\uccb4\uc758 \uc190\uc2e4\uc774 \ub108\ubb34 \ucee4\uc9c0\uae30 \ub54c\ubb38\uc5d0, \ub9cc\ub4e4\uae30\ub97c \ud3ec\uae30\ud55c \uac83\uc774\ub2e4. \ud55c\ud3b8\uc73c\ub85c, \uac00\uc7a5 \ub113\uc774\uac00 \uc791\uc740 \ub3cc\ud310\ub9cc\uc73c\ub85c \uc5ec\ub7ec \uc7a5\uc744 \uc798\ub77c \ub0b8\ub2e4\uace0 \ud574\ub3c4 \uc190\uc2e4\uc744 \uc774\ubcf4\ub2e4 \uc904\uc77c \uc218 \uc5c6\ub2e4\ub294 \uac83\uc740, \uc190\uc73c\ub85c \ub530\uc838 \ubcf4\uba74 \uae08\ubc29 \uc54c \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub3cc\ud310\uc758 \uc6d0\ub798 \ud06c\uae30\uc640 \uc6b0\ub9ac\uac00 \uc6d0\ud558\ub294 \ub3cc\ud310 \ud06c\uae30\ub4e4\uc744 \uc785\ub825 \ubc1b\uc740 \ub4a4, \uac00\uc7a5 \ud6a8\uc728\uc801\uc73c\ub85c \ub3cc\ud310\uc744 \uc790\ub974\ub294 \ubc29\ubc95\uc744 \uacc4\uc0b0\ud558\uc5ec \uadf8\ub54c \uc190\uc2e4\ub418\ub294 \ucd5c\uc18c\ud55c\uc758 \ub3cc\ud310 \uba74\uc801\uc758 \ud569\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc5b4\ub290 \ud06c\uae30\uc758 \ub3cc\ud310\uc744 \uc5bc\ub9c8\ub098 \uc5bb\ub290\ub0d0\uac00 \uc544\ub2c8\ub77c, \uc5b4\ub5bb\uac8c \uc790\ub974\ub4e0 \uc190\uc2e4\uc744 \uc904\uc774\ub294 \uac83\uc774 \ubaa9\uc801\uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0\ub294 \ub300\ub9ac\uc11d \uc6d0\ud310\uc758 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b4\ub294 W(\uac00\ub85c \uae38\uc774), H(\uc138\ub85c \uae38\uc774)\uac00 \ub4e4\uc5b4\uc788\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \uc6b0\ub9ac\uac00 \uc6d0\ud558\ub294 \ud06c\uae30\uc758 \uac1c\uc218 N\uc774 \uc788\uace0, \uadf8\ub2e4\uc74c N\uc904\uc5d0\ub294 \uadf8 \ud06c\uae30\ub4e4\uc774 \uc5ed\uc2dc \uac00\ub85c, \uc138\ub85c \uc21c\uc73c\ub85c \ub4e4\uc5b4\uc788\ub2e4. 1 &le; W, H &le; 600\uc774\uace0 0 &lt; N &le; 200\uc774\ub2e4. \uc798\ub77c\uc57c \ud558\ub294 \ud06c\uae30\ub294 \uac00\ub85c&middot; \uc138\ub85c \ubaa8\ub450 1 \uc774\uc0c1\uc774\uace0 \uc6d0\ud310\uc758 \ud06c\uae30 \uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uc815\uc218 \ud558\ub098\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc6d0\ud310\uc744 \uac00\uc7a5 \ud604\uba85\ud558\uac8c \uc798\ub790\uc744 \ub54c \uc190\uc2e4\ub418\ub294 \uba74\uc801\uc758 \ucd5c\uc19f\uac12\uc774\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"1691","problem_lang":"1","title":"Phidias","description":"<p>Famous ancient Greek sculptor Phidias is making preparations to build another marvelous monument. For this purpose he needs rectangular marble plates of sizes W<sub>1<\/sub>&nbsp;&times; H<sub>1<\/sub>, W<sub>2<\/sub>&nbsp;&times; H<sub>2<\/sub>, ... W<sub>N<\/sub>&nbsp;&times; H<sub>N<\/sub>.&nbsp;<\/p>\r\n\r\n<p>Recently, Phidias has received a large rectangular marble slab. He wants to cut the slab to obtain plates of the desired sizes. Any piece of marble (the slab or the plates cut from it) can be cut either horizontally or vertically into two rectangular plates with integral widths and heights, cutting completely through that piece. This is the only way to cut pieces and pieces cannot be joined together. Since the marble has a pattern on it, the plates cannot be rotated: if Phidias cuts a plate of size A &times; B then it cannot be used as a plate of size B&nbsp;&times; A unless A&nbsp;&times; B. He can make zero or more plates of each desired size. A marble plate is wasted if it is not of any of the desired sizes after all cuts are completed. Phidias wonders how to cut the initial slab so that as little of it as possible will be wasted.&nbsp;<\/p>\r\n\r\n<p>As an example, assume that in the figure below the width of the original slab is 21 and the height of the original slab is 11, and the desired plate sizes are 10&nbsp;&times; 4, 6&nbsp;&times; 2, 7&nbsp;&times; 5, and 15&nbsp;&times; 10. The minimum possible area wasted is 10, and the figure shows one sequence of cuts with total waste area of size 10.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/25f5dc52-e7b1-4477-b28b-66cb229b36cf\/-\/preview\/\" style=\"width: 263px; height: 141px;\" \/><\/p>\r\n\r\n<p>Your task is to write a program that, given the size of the original slab and the desired plate sizes, calculates the minimum total area of the original slab that must be wasted.<\/p>\r\n","input":"<p>The first line of input contains two integers: first W, the width of the original slab, and then H, the height of the original slab. The second line contains one integer N: the number of desired plate sizes. The following N lines contain the desired plate sizes. Each of these lines contains two integers: first the width Wi and then the height Hi of that desired plate size (1 &le; i &le; N).<\/p>\r\n","output":"<p>The output is to contain one line with a single integer: the minimum total area of the original slab that must be wasted.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; W &le; 600<\/li>\r\n\t<li>1 &le; H &le; 600<\/li>\r\n\t<li>0 &lt; N &le; 200<\/li>\r\n\t<li>1 &le; W<sub>i<\/sub> &le; W<\/li>\r\n\t<li>1 &le; H<sub>i<\/sub> &le; H<\/li>\r\n<\/ul>\r\n"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2004 > Day 2 4번