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2 초 512 MB 422 120 70 25.735%

문제

NSA는 점점 늘어나는 러시아어와 스페인어 번역 데이터와 전화 도청 파일의 용량 때문에, 데이터 센터의 용량을 최대 1 엑사바이트로 확장하려고 한다. 

NSA의 예산은 넉넉한 편이 아니기 때문에, 새 디스크를 구매할 수 없다. 따라서, 불필요한 데이터를 제거해 용량을 확보하려고 한다.

모든 서버는 네 디스크가 RAID-1을 이루고 있다. RAID-5로 방식을 바꿔 용량을 확보해보자.

현재 데이터 센터에는 총 n개의 RAID-1 세트가 있다. 각각의 세트 i는 크기가 Si인 디스크로 이루어져 있다. 이 세트는 데이터 Si GB를 보관할 수 있다. RAID-5 세트로 변환하면 보관할 수 있는 용량이 총 세 배가 된다. (3 · Si GB) 되도록 적은 용량을 RAID-5로 변환해 필요한 용량을 얻는 프로그램을 작성하시오.

디스크의 용량 S = 4이고, 저장 가능 용량은 4 GB (D0 ... D3)과 3 · 4 = 12 GB (D0 ... D11) 이다.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스의 수는 100개를 넘지 않는다.

각 테스트 케이스의 첫째 줄에는 RAID-1 세트의 수 n과 확보해야 하는 용량 e 가 주어진다. (1 ≤ n ≤ 100 and 0 ≤ e ≤ 109)

둘째 줄에는 각 세트의 크기 S1 ... Sn (1 ≤ Si ≤ 2 000)가 주어진다.

출력

각 테스트 케이스 마다 변환해야 하는 용량(GB)을 출력한다. 용량을 e만큼 더 확보할 수 없는 경우에는 “FULL”을 출력한다.

예제 입력 1

3
2 500
500 500
4 2400
400 600 700 1000
2 1000
10 10

예제 출력 1

500
1300
FULL

힌트

  • 첫 번째 예제의 경우에, RAID 세트 하나를 변환하면 된다. 새로운 용량은 1500 + 500 = 2000 GB가 된다.
  • 두 번째 예제는 600 GB와 700 GB 디스크를 변환하면 400 + 600 + 700 + 1000 = 2700 GB, 400 + 1800 + 2100 + 1000 = 5300 GB가 된다. 다른 변환은 모두 비효율적이다.
  • 세 번째 예제의 경우는 필요한 용량을 확보할 수 없다.
[{"problem_id":"9327","problem_lang":"0","title":"\uc6a9\ub7c9 \ud655\ubcf4","description":"<p>NSA\ub294 \uc810\uc810 \ub298\uc5b4\ub098\ub294 \ub7ec\uc2dc\uc544\uc5b4\uc640 \uc2a4\ud398\uc778\uc5b4 \ubc88\uc5ed \ub370\uc774\ud130\uc640 \uc804\ud654 \ub3c4\uccad \ud30c\uc77c\uc758 \uc6a9\ub7c9 \ub54c\ubb38\uc5d0, \ub370\uc774\ud130 \uc13c\ud130\uc758 \uc6a9\ub7c9\uc744 \ucd5c\ub300 1 \uc5d1\uc0ac\ubc14\uc774\ud2b8\ub85c \ud655\uc7a5\ud558\ub824\uace0 \ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>NSA\uc758 \uc608\uc0b0\uc740 \ub109\ub109\ud55c \ud3b8\uc774 \uc544\ub2c8\uae30 \ub54c\ubb38\uc5d0, \uc0c8 \ub514\uc2a4\ud06c\ub97c \uad6c\ub9e4\ud560 \uc218 \uc5c6\ub2e4. \ub530\ub77c\uc11c, \ubd88\ud544\uc694\ud55c \ub370\uc774\ud130\ub97c \uc81c\uac70\ud574 \uc6a9\ub7c9\uc744 \ud655\ubcf4\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc11c\ubc84\ub294 \ub124 \ub514\uc2a4\ud06c\uac00 RAID-1\uc744 \uc774\ub8e8\uace0 \uc788\ub2e4. RAID-5\ub85c \ubc29\uc2dd\uc744 \ubc14\uafd4 \uc6a9\ub7c9\uc744 \ud655\ubcf4\ud574\ubcf4\uc790.<\/p>\r\n\r\n<p>\ud604\uc7ac \ub370\uc774\ud130 \uc13c\ud130\uc5d0\ub294 \ucd1d n\uac1c\uc758 RAID-1 \uc138\ud2b8\uac00 \uc788\ub2e4. \uac01\uac01\uc758 \uc138\ud2b8 i\ub294 \ud06c\uae30\uac00 S<sub>i<\/sub>\uc778 \ub514\uc2a4\ud06c\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uc774 \uc138\ud2b8\ub294 \ub370\uc774\ud130 S<sub>i<\/sub> GB\ub97c \ubcf4\uad00\ud560 \uc218 \uc788\ub2e4. RAID-5 \uc138\ud2b8\ub85c \ubcc0\ud658\ud558\uba74 \ubcf4\uad00\ud560 \uc218 \uc788\ub294 \uc6a9\ub7c9\uc774 \ucd1d \uc138 \ubc30\uac00 \ub41c\ub2e4. (3 &middot; S<sub>i<\/sub> GB) \ub418\ub3c4\ub85d \uc801\uc740 \uc6a9\ub7c9\uc744 RAID-5\ub85c \ubcc0\ud658\ud574 \ud544\uc694\ud55c \uc6a9\ub7c9\uc744 \uc5bb\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/raid.png\" style=\"height:111px; line-height:1.6em; width:463px\" \/><\/p>\r\n\r\n<p>\ub514\uc2a4\ud06c\uc758 \uc6a9\ub7c9 S = 4\uc774\uace0, \uc800\uc7a5 \uac00\ub2a5 \uc6a9\ub7c9\uc740 4 GB (D0 ... D3)\uacfc 3 &middot; 4 = 12 GB (D0 ... D11) \uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218\ub294 100\uac1c\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 RAID-1 \uc138\ud2b8\uc758 \uc218 n\uacfc \ud655\ubcf4\ud574\uc57c \ud558\ub294 \uc6a9\ub7c9 e \uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;(1 &le; n &le; 100 and 0 &le; e &le; 10<sup>9<\/sup>)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc138\ud2b8\uc758 \ud06c\uae30&nbsp;S<sub>1<\/sub>&nbsp;... S<sub>n<\/sub>&nbsp;(1 &le; S<sub>i<\/sub>&nbsp;&le; 2 000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ub9c8\ub2e4 \ubcc0\ud658\ud574\uc57c \ud558\ub294 \uc6a9\ub7c9(GB)\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc6a9\ub7c9\uc744 e\ub9cc\ud07c \ub354 \ud655\ubcf4\ud560 \uc218 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 &ldquo;<code>FULL<\/code>&rdquo;\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<ul>\r\n\t<li>\uccab \ubc88\uc9f8 \uc608\uc81c\uc758 \uacbd\uc6b0\uc5d0, RAID \uc138\ud2b8 \ud558\ub098\ub97c \ubcc0\ud658\ud558\uba74 \ub41c\ub2e4. \uc0c8\ub85c\uc6b4 \uc6a9\ub7c9\uc740 1500 + 500 = 2000 GB\uac00 \ub41c\ub2e4.<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uc608\uc81c\ub294 600 GB\uc640 700 GB \ub514\uc2a4\ud06c\ub97c \ubcc0\ud658\ud558\uba74&nbsp;400 + 600 + 700 + 1000 = 2700 GB, 400 + 1800 + 2100 + 1000 = 5300 GB\uac00 \ub41c\ub2e4. \ub2e4\ub978 \ubcc0\ud658\uc740 \ubaa8\ub450 \ube44\ud6a8\uc728\uc801\uc774\ub2e4.<\/li>\r\n\t<li>\uc138 \ubc88\uc9f8 \uc608\uc81c\uc758 \uacbd\uc6b0\ub294 \ud544\uc694\ud55c \uc6a9\ub7c9\uc744 \ud655\ubcf4\ud560 \uc218 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9327","problem_lang":"1","title":"Just Enough Space","description":"<p>After a PR mishap with a former employee, the NSA might need to increase storage in one of their datacenters: the Russian and Spanish translators have a backlog, and the captured phone conversations need to be stored in the meantime. Up to 1 exabyte of data needs to be stored. Unfortunately, there is currently no extra storage available at all.<\/p>\r\n\r\n<p>Due to budget limitations, it is not possible to immediately buy new disks, and the system administrator (you) wants to solve this by reducing the data redundancy. For performance and reliability, all data is currently on large RAID-1 sets of four disks in each server. More data can be stored by converting some of these sets to the slower RAID-5 technique.<\/p>\r\n\r\n<p>Speci\ufb01cally, there are currently n RAID-1 sets. Each set i is built using disks of size S<sub>i<\/sub>, and this set can hold S<sub>i<\/sub> GB of data. If you convert one set to RAID-5, it can hold three times as much data: 3 &middot; S<sub>i<\/sub> GB. You want to convert as few GBs of storage as possible.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/raid.png\" style=\"height:111px; width:463px\" \/><\/p>\r\n\r\n<p>Disks with size S = 4, capacity respectively 4 GB (D0 ... D3) and 3&nbsp;&middot;&nbsp;4 = 12 GB (D0 ... D11).<\/p>\r\n","input":"<p>On the \ufb01rst line one positive number: the number of test cases, at most 100. After that per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with two space-separated integers n and e (1 &le; n &le; 100 and 0 &le; e &le; 10<sup>9<\/sup>): the number of RAID-1 sets, and the amount of extra space in GB required, respectively.<\/li>\r\n\t<li>one line with n space-separated integers S<sub>1<\/sub> ... S<sub>n<\/sub> (1 &le; S<sub>i<\/sub> &le; 2 000): the sizes of all raid sets in GB.<\/li>\r\n<\/ul>\r\n","output":"<p>Per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with an integer: the number of GB you need to convert, or the string &ldquo;<code>FULL<\/code>&rdquo; if not enough diskspace can be freed.<\/li>\r\n<\/ul>\r\n","hint":"<ul>\r\n\t<li>In the \ufb01rst example, it is enough to convert one RAID-set: the new capacity is then 1500 + 500 = 2000 GB.<\/li>\r\n\t<li>In the second example, converting the 600 GB and 700 GB disks will increase the storage from 400 + 600 + 700 + 1000 = 2700 GB to 400 + 1800 + 2100 + 1000 = 5300 GB, enough to store the extra 2400 GB of data. All other conversions are less ef\ufb01cient.<\/li>\r\n\t<li>In the third example there is no way to come up with the required amount of free disk space.<\/li>\r\n<\/ul>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]