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문제

항구를 운영하는 상근이는 컨테이너 박스를 보관할 주차장을 건설하려고 한다.

상근이의 항구가 있는 지역은 진흙진 땅이기 때문에, 단단한 땅을 만드는 비용이 매우 비싸다. 따라서, 상근이는 필요 이상으로 주차장을 크게 만들지 않으려고 한다.

컨테이너의 크기는 길이 40미터 너비 8미터이다. 한 컨테이너를 다른 컨테이너 위에 쌓을 수 있고, 최대 5개까지 쌓을 수 있다. 한 행에 있는 컨테이너 사이에는 공간이 4미터 필요하다. 또, 행과 행 사이에는 공간이 2미터가 필요하다. 모든 컨테이너는 같은 방향으로 놓여져야 한다.

주차장의 크기는 직사각형이어야 한다. 상근이가 원하는 수용 가능 컨테이너의 수가 주어졌을 때, 가장 좋은 주차장의 크기를 구하는 프로그램을 작성하시오. 먼저, 주차장의 면적이 작아야 하며, 되도록 정사각형과 가까워야 한다.

예를 들어, 아래와 같이 총 컨테이너 박스가 쌓인 것이 8개 있는 형태를 보관하는 가장 좋은 주차장의 크기는 92 × 42 = 3864이다.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스의 개수는 최대 100개이다. 각각의 테스트 케이스는 한 줄로 이루어져 있으며, 상근이가 원하는 주차장의 수용 가능 컨테이너 수 n이 주어진다. n은 양의 정수이며, 1012보다 작거나 같다.

출력

각 테스트 케이스마다 가장 좋은 주차장의 길이와 너비를 (길이 ≥ 너비)와 면적을 출력한다. 가능한 정답이 여러가지인 경우에는 넓이가 가장 작은 것을 출력하며, 넓이가 같은 것도 여러가지인 경우에는 길이 - 너비가 가장 작은 것을 출력한다.

예제 출력 형식을 참고한다.

예제 입력 1

6
1
15
22
29
36
43

예제 출력 1

48 X 12 = 576
48 X 32 = 1536
52 X 48 = 2496
92 X 32 = 2944
92 X 42 = 3864
136 X 32 = 4352
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The containers are piled up as they arrive. Then the huge cargo ships arrive, each one capable of carrying thousands of containers. The containers are loaded into the ships that will bring them to far away shores. Or the other way round, containers are brought in over sea, piled up, and transported to the hinterland one by one. Anyway, a huge parking lot is needed, to store the containers waiting for further transportation.<\/p>\r\n\r\n<p>Building the new container terminal at the mouth of the river was a good choice. But there are disadvantages as well. The ground is very muddy, and building on \ufb01rm ground would have been substantially cheaper. It will be important to build the parking lot not larger than necessary.<\/p>\r\n\r\n<p>A container is 40 feet long and 8 feet wide. Containers are stacked, but a stack will be at most \ufb01ve containers high. The stacks are organized in rows. Next to a container stack, and between two container stacks (along the long side of the containers) a space of 2 feet is needed for catching the containers. Next to a row of stacks, and between two stacks (along the short side of the containers) a space of 4 feet is needed for the crane that lifts the containers. All containers are placed in the same direction, as the cranes can not make turns on the parking lot.<\/p>\r\n\r\n<p>The parking lot should be rectangular. Given the required capacity of the parking lot, what will be the best dimension for the parking lot? In the \ufb01rst place the area should be minimal. The second condition is that the parking lot should be as square as possible.<\/p>\r\n\r\n<p>Below you see a plan for a parking lot with a capacity of 8 stacks. Two rows of four containers each turns out to be the best solution here, with a total area of 92 &times; 42 = 3864.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/container.png\" style=\"height:229px; width:468px\" \/><\/p>\r\n\r\n<p>A parking lot with 8 container stacks.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","input":"<p>On the \ufb01rst line one positive number: the number of testcases, at most 100. After that per testcase:<\/p>\r\n\r\n<p>A single positive integer n (n &le; 10<sup>12<\/sup>) on a single line: the required capacity (number of containers) for the parking lot.<\/p>\r\n","output":"<p>Per testcase:<\/p>\r\n\r\n<ul>\r\n\t<li>A single line, containing the length, width (length &ge; width) and area of the optimal solution. 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출처

ACM-ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2007 C번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: myungwoo