시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

댐은 n개의 수문을 가지고 있다. 각각의 수문은 자체 용량과 물길을 가지고 있고, 하류에 영향을 줄 수 있다. 

수문이 열렸을 때, 영향을 받는 지역은 홍수의 위험이 있다. 수문에 의한 예상 피해액은 지역의 인구의 수와 면적으로 계산할 수 있다.

수문 Gi의 유량이 Fi m3/hour 이고, 피해 비용이 Ci라고 하자. 댐에는 물이 Vm3 만큼 저장되어 있고, 이 물을 T시간 이내에 모두 비워내야 하는 상황이다. 이 때, 수문을 어떻게 열어야 피해 비용이 최소가 되는지를 구하는 프로그램을 작성하시오.

예를 들어, 댐에 수문이 4개가 있고, 각 수문의 유량과 피해 비용이 아래와 같다고 하자.

수문 G1 G2 G3 G4
유량 (m3/hour) 720,000 50,000 130,000 1,200,000
비용 120,000 60,000 50,000 150,000

물 5백만 m3을 7시간 안에 비워내야 하는 경우에, G1을 7시간동안 열어 놓으면 되고, 비용은 120,000이 된다. 

물 5백만 m3을 30시간 안에 비워내야 하는 경우에는 G2를 29시간, G3를 28시간 동안 열어 놓으면 된다. 이 때의 비용은 110,000이 된다.

모든 수문은 항상 독립적으로 동작하며, 수문은 항상 1시간 단위만큼 열 수 있다.

입력

첫째 줄에 수문의 개수 n이 주어진다. (1 ≤ n ≤ 20) 다음 n개 줄에는 각 수문 Gi의 유량 (m3/hour) Fi와 피해 비용 Ci가 주어진다. 다음 줄에는 테스트 케이스의 수 m (1 ≤ m ≤ 50)이 주어진다. 다음 m개 줄에는 V와 T가 주어지며, 물 V m3을 T시간 이내에 비워내야 한다는 뜻이다. (1 ≤ Fi, V, Ci ≤ 109, 1 ≤ T ≤ 1000)

출력

각 테스트 케이스마다, 최소 비용을 예제 출력과 같이 출력한다. 만약 물 V를 T시간 이내에 비워낼 수 없으면 "IMPOSSIBLE"을 출력한다.

예제 입력 1

4
720000 120000
50000 60000
130000 50000
1200000 150000
3
5000000 7
5000000 30
63000000 24

예제 출력 1

Case 1: 120000
Case 2: 110000
Case 3: IMPOSSIBLE
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(1 &le; n &le; 20) \ub2e4\uc74c n\uac1c \uc904\uc5d0\ub294 \uac01 \uc218\ubb38 G<sub>i<\/sub>\uc758 \uc720\ub7c9 (m<sup>3<\/sup>\/hour) F<sub>i<\/sub>\uc640 \ud53c\ud574 \ube44\uc6a9 C<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 m (1 &le; m &le; 50)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c m\uac1c \uc904\uc5d0\ub294 V\uc640 T\uac00 \uc8fc\uc5b4\uc9c0\uba70, \ubb3c V m<sup>3<\/sup>\uc744 T\uc2dc\uac04 \uc774\ub0b4\uc5d0 \ube44\uc6cc\ub0b4\uc57c \ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. (1 &le; F<sub>i<\/sub>, V, C<sub>i<\/sub> &le; 10<sup>9<\/sup>, 1 &le; T &le; 1000)<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, \ucd5c\uc18c \ube44\uc6a9\uc744 \uc608\uc81c \ucd9c\ub825\uacfc \uac19\uc774 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \ubb3c V\ub97c T\uc2dc\uac04 \uc774\ub0b4\uc5d0 \ube44\uc6cc\ub0bc \uc218 \uc5c6\uc73c\uba74 &quot;IMPOSSIBLE&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5638","problem_lang":"1","title":"Water Gate Management","description":"<p>A dam has n water gates to let out water when necessary. Each water gate has its own capacity, water path and affected areas in the downstream. The affected areas may have a risk of flood when the water gate is open. The cost of potential damage caused by a water gate is measured in number calculated from the number of people and areas estimated to get affected.&nbsp;<\/p>\r\n\r\n<p>Suppose a water gate G<sub>i<\/sub> has the volumetric flow rate of F<sub>i<\/sub> m<sup>3<\/sup>\/hour and the damage cost of C<sub>i<\/sub>. In a certain situation, the dam has the volume V m<sup>3<\/sup> of water to flush out within T hours. Your task is to manage the opening of the water gates in order to get rid of at least the specified volume of water within a limited time in condition that the damage cost is minimized.&nbsp;<\/p>\r\n\r\n<p>For example, a dam has 4 water gates and their properties are shown in the following table.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:60%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:20%\">Water Gate<\/th>\r\n\t\t\t<th style=\"width:10%\">G<sub>1<\/sub><\/th>\r\n\t\t\t<th style=\"width:10%\">G<sub>2<\/sub><\/th>\r\n\t\t\t<th style=\"width:10%\">G<sub>3<\/sub><\/th>\r\n\t\t\t<th style=\"width:10%\">G<sub>4<\/sub><\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>Flow rate (m<sup>3<\/sup>\/hour)<\/td>\r\n\t\t\t<td>720,000<\/td>\r\n\t\t\t<td>50,000<\/td>\r\n\t\t\t<td>130,000<\/td>\r\n\t\t\t<td>1,200,000<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Cost<\/td>\r\n\t\t\t<td>120,000<\/td>\r\n\t\t\t<td>60,000<\/td>\r\n\t\t\t<td>50,000<\/td>\r\n\t\t\t<td>150,000<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Case 1: You have to flush out the water 5 million m<sup>3<\/sup> within 7 hours. The minimum cost will be 120,000 by letting the water gate G<sub>1<\/sub> open for 7 hours.&nbsp;<\/p>\r\n\r\n<p>Case 2: You have to flush out the water 5 million m<sup>3<\/sup> within 30 hours. The minimum cost will be 110,000 by letting the water gates G<sub>2<\/sub> and G<sub>3<\/sub> open, for example, G<sub>2<\/sub> is open for 29 hours and G<sub>3<\/sub> is open for 28 hours.&nbsp;<\/p>\r\n\r\n<p>Note that each water gate is independent and it can be open only in a unit of whole hour (no fraction of hour).&nbsp;<\/p>\r\n","input":"<p>The first line includes an integer n indicating number of water gates (1 &le; n &le; 20). Then the next n lines contain, in each line, two integers: F<sub>i<\/sub> and C<sub>i<\/sub> corresponding to the flow rate (m<sup>3<\/sup>\/hour) and the damage cost of the water gate G<sub>i<\/sub> respectively. The next line contains the number m which is the number of test cases (1 &le; m &le; 50). The following m lines contain, in each line, two integers: V and T corresponding to the volume (m<sup>3<\/sup>) of water to let out within T hours. 1 &le; F<sub>i<\/sub> ,V, C<sub>i<\/sub> &le; 10<sup>9<\/sup> , 1 &le; T &le; 1000)&nbsp;<\/p>\r\n","output":"<p>For each test case, print out the minimum cost in the exact format shown in the sample output below. If it is not possible to let out the water of volume V in T hours from the dam, print out &ldquo;IMPOSSIBLE&rdquo; (without quotation marks).&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]