시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 (추가 시간 없음) 256 MB 22 15 14 70.000%

문제

당신을 포함한 N명의 참가자가 각자 자신의 장난감 자동차를 이용해 경주를 하는데, 트랙의 길이는 X 미터이다.

참가자는 1번부터 N번까지 번호가 매겨져 있고, 당신의 참가 번호는 N번이다.

i번 참가자의 자동차의 일반적인 속도는 V[i] meters per sec (m/s) 이며, 당신을 제외한 모든 참가자의 자동차는 출발점 부터 도착점까지 항상 일정한 속도로 움직인다.

단, 당신의 장난감 자동차는 특수 부스터가 있기 때문에, 처음 1초간 Z m/s 로 움직이도록 설정할 수 있다 (이 때 트랙의 나머지 거리는 V[N] m/s 로 일정한 속도로 움직인다).

경주 시작 전 정수 Z값을 고를 수 있으며, 이 값은 반드시 부스터 속도 한계치인 Y m/s 이하이어야 한다 (Z ≤ Y). 

당신은 꼭 이 경주에서 단독 1등을 하고 싶은데, 부스터를 지나치게 사용하면 의심 받을 수 있으니 단독 우승이 가능토록 하는 최소의 Z값을 구하고 싶다.

예를 들어 N = 3, X = 12, Y = 11 이라하고, V = [3, 2, 1] 이라 하자.

  • 1번 참가자의 자동차는 3 m/s의 일정한 속도로 움직여서 4초만에 경주를 마친다.
  • 2번 참가자의 자동차는 2 m/s의 일정한 속도로 움직여서 6초만에 경주를 마친다.
  • 3번 참가자인 당신의 경우 여러 가지 가능성이 있다.
    • 부스터를 사용하지 않으면 1 m/s의 일정한 속도로 움직여서 12초만에 경주를 마친다.
    • 부스터를 최대치로 사용하면 (Z = Y) 첫 1초간 11m를 이동하고, 나머지 1m를 1초간 주행해서 2초만에 경주를 마치며 단독 우승 할 수 있다.
    • 부스터를 조금 덜 사용하여 Z = 10미터를 1초만에 이동하면, 나머지 2m는 원래 속도로 이동하여 총 3초가 걸리고, 단독 우승할 수 있다.
    • 그보다 조금 덜 사용하여 Z = 9미터를 1초만에 이동하면, 나머지 3m는 원래 속도로 이동하여 총 4초가 걸리고, 1번 자동차와 같은 시간만큼 걸린다 (공동 우승).

위의 예제의 경우 단독 우승을 하기 위해 최소 10미터를 부스터를 사용하여 이동하여야 하므로, 원하는 답이 10이다.

입력으로 N, X, Y, 그리고 각 장난감 자동차의 속도 V가 주어졌을 때 단독 우승을 하기 위해 부스터를 사용해서 이동해야하는 최소한의 거리를 구하는 프로그램을 작성하시오.

입력

첫 줄에 테스트 케이스의 수 T가 주어진다.

각 테스트 케이스의 첫 줄에 N, X, Y가 공백으로 구분되어 주어진다.

둘째 줄에 N개의 정수가 공백으로 구분되어 주어지는데 이는 각 장난감 자동차의 속도 V[i]를 나타낸다.

출력

각 테스트 케이스에 대해 단독 우승을 위해 부스터를 사용해서 이동해야하는 최소한의 거리를 출력한다.

만약 부스터를 쓰지 않고도 단독 우승이 가능하다면 0을 출력한다.

부스터를 최대치로 사용하고도 단독 우승이 불가능하다면 -1을 출력한다.

제한

  • 1 ≤ T ≤ 10
  • 2 ≤ N ≤ 1,000
  • 1 ≤ Y ≤ X ≤ 1,000,000
  • 1 ≤ V[i] ≤ 1,000,000

예제 입력 1

5
3 12 11
3 2 1
3 12 9
3 2 1
3 12 10
3 4 5
3 80 80
80 60 70
3 80 80
70 50 60

예제 출력 1

10
-1
0
-1
72
[{"problem_id":"19592","problem_lang":"0","title":"\uc7a5\ub09c\uac10 \uacbd\uc8fc","description":"<p>\ub2f9\uc2e0\uc744 \ud3ec\ud568\ud55c N\uba85\uc758 \ucc38\uac00\uc790\uac00 \uac01\uc790 \uc790\uc2e0\uc758 \uc7a5\ub09c\uac10 \uc790\ub3d9\ucc28\ub97c \uc774\uc6a9\ud574 \uacbd\uc8fc\ub97c \ud558\ub294\ub370, \ud2b8\ub799\uc758 \uae38\uc774\ub294 X \ubbf8\ud130\uc774\ub2e4.<\/p>\r\n\r\n<p>\ucc38\uac00\uc790\ub294 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\uace0, \ub2f9\uc2e0\uc758 \ucc38\uac00 \ubc88\ud638\ub294 N\ubc88\uc774\ub2e4.<\/p>\r\n\r\n<p>i\ubc88 \ucc38\uac00\uc790\uc758 \uc790\ub3d9\ucc28\uc758 \uc77c\ubc18\uc801\uc778 \uc18d\ub3c4\ub294 V[i] meters per sec (m\/s)&nbsp;\uc774\uba70, \ub2f9\uc2e0\uc744 \uc81c\uc678\ud55c \ubaa8\ub4e0 \ucc38\uac00\uc790\uc758 \uc790\ub3d9\ucc28\ub294 \ucd9c\ubc1c\uc810 \ubd80\ud130 \ub3c4\ucc29\uc810\uae4c\uc9c0 \ud56d\uc0c1 \uc77c\uc815\ud55c \uc18d\ub3c4\ub85c \uc6c0\uc9c1\uc778\ub2e4.<\/p>\r\n\r\n<p>\ub2e8, \ub2f9\uc2e0\uc758 \uc7a5\ub09c\uac10 \uc790\ub3d9\ucc28\ub294 \ud2b9\uc218 \ubd80\uc2a4\ud130\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0, \ucc98\uc74c 1\ucd08\uac04 Z m\/s \ub85c \uc6c0\uc9c1\uc774\ub3c4\ub85d \uc124\uc815\ud560 \uc218 \uc788\ub2e4 (\uc774 \ub54c \ud2b8\ub799\uc758 \ub098\uba38\uc9c0 \uac70\ub9ac\ub294 V[N] m\/s \ub85c \uc77c\uc815\ud55c \uc18d\ub3c4\ub85c \uc6c0\uc9c1\uc778\ub2e4).<\/p>\r\n\r\n<p>\uacbd\uc8fc \uc2dc\uc791 \uc804 \uc815\uc218 Z\uac12\uc744 \uace0\ub97c \uc218 \uc788\uc73c\uba70, \uc774 \uac12\uc740 \ubc18\ub4dc\uc2dc \ubd80\uc2a4\ud130 \uc18d\ub3c4 \ud55c\uacc4\uce58\uc778 Y m\/s \uc774\ud558\uc774\uc5b4\uc57c \ud55c\ub2e4 (Z &le; Y).&nbsp;<\/p>\r\n\r\n<p>\ub2f9\uc2e0\uc740 \uaf2d \uc774 \uacbd\uc8fc\uc5d0\uc11c \ub2e8\ub3c5 1\ub4f1\uc744 \ud558\uace0 \uc2f6\uc740\ub370, \ubd80\uc2a4\ud130\ub97c \uc9c0\ub098\uce58\uac8c \uc0ac\uc6a9\ud558\uba74 \uc758\uc2ec \ubc1b\uc744 \uc218 \uc788\uc73c\ub2c8 \ub2e8\ub3c5 \uc6b0\uc2b9\uc774 \uac00\ub2a5\ud1a0\ub85d \ud558\ub294 \ucd5c\uc18c\uc758 Z\uac12\uc744 \uad6c\ud558\uace0 \uc2f6\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 N = 3, X = 12, Y = 11 \uc774\ub77c\ud558\uace0, V = [3, 2, 1] \uc774\ub77c \ud558\uc790.<\/p>\r\n\r\n<ul>\r\n\t<li>1\ubc88 \ucc38\uac00\uc790\uc758 \uc790\ub3d9\ucc28\ub294 3 m\/s\uc758 \uc77c\uc815\ud55c \uc18d\ub3c4\ub85c \uc6c0\uc9c1\uc5ec\uc11c 4\ucd08\ub9cc\uc5d0 \uacbd\uc8fc\ub97c \ub9c8\uce5c\ub2e4.<\/li>\r\n\t<li>2\ubc88 \ucc38\uac00\uc790\uc758 \uc790\ub3d9\ucc28\ub294 2 m\/s\uc758 \uc77c\uc815\ud55c \uc18d\ub3c4\ub85c \uc6c0\uc9c1\uc5ec\uc11c 6\ucd08\ub9cc\uc5d0 \uacbd\uc8fc\ub97c \ub9c8\uce5c\ub2e4.<\/li>\r\n\t<li>3\ubc88 \ucc38\uac00\uc790\uc778 \ub2f9\uc2e0\uc758 \uacbd\uc6b0 \uc5ec\ub7ec \uac00\uc9c0 \uac00\ub2a5\uc131\uc774 \uc788\ub2e4.\r\n\t<ul>\r\n\t\t<li>\ubd80\uc2a4\ud130\ub97c \uc0ac\uc6a9\ud558\uc9c0 \uc54a\uc73c\uba74 1 m\/s\uc758 \uc77c\uc815\ud55c \uc18d\ub3c4\ub85c \uc6c0\uc9c1\uc5ec\uc11c 12\ucd08\ub9cc\uc5d0 \uacbd\uc8fc\ub97c \ub9c8\uce5c\ub2e4.<\/li>\r\n\t\t<li>\ubd80\uc2a4\ud130\ub97c \ucd5c\ub300\uce58\ub85c \uc0ac\uc6a9\ud558\uba74 (Z = Y) \uccab 1\ucd08\uac04 11m\ub97c \uc774\ub3d9\ud558\uace0, \ub098\uba38\uc9c0 1m\ub97c 1\ucd08\uac04 \uc8fc\ud589\ud574\uc11c 2\ucd08\ub9cc\uc5d0 \uacbd\uc8fc\ub97c \ub9c8\uce58\uba70 \ub2e8\ub3c5 \uc6b0\uc2b9 \ud560 \uc218 \uc788\ub2e4.<\/li>\r\n\t\t<li>\ubd80\uc2a4\ud130\ub97c&nbsp;\uc870\uae08 \ub35c \uc0ac\uc6a9\ud558\uc5ec Z = 10\ubbf8\ud130\ub97c 1\ucd08\ub9cc\uc5d0&nbsp;\uc774\ub3d9\ud558\uba74, \ub098\uba38\uc9c0 2m\ub294 \uc6d0\ub798 \uc18d\ub3c4\ub85c \uc774\ub3d9\ud558\uc5ec \ucd1d 3\ucd08\uac00 \uac78\ub9ac\uace0, \ub2e8\ub3c5&nbsp;\uc6b0\uc2b9\ud560 \uc218 \uc788\ub2e4.<\/li>\r\n\t\t<li>\uadf8\ubcf4\ub2e4 \uc870\uae08 \ub35c \uc0ac\uc6a9\ud558\uc5ec Z = 9\ubbf8\ud130\ub97c 1\ucd08\ub9cc\uc5d0 \uc774\ub3d9\ud558\uba74, \ub098\uba38\uc9c0 3m\ub294 \uc6d0\ub798 \uc18d\ub3c4\ub85c \uc774\ub3d9\ud558\uc5ec \ucd1d 4\ucd08\uac00 \uac78\ub9ac\uace0, 1\ubc88 \uc790\ub3d9\ucc28\uc640 \uac19\uc740 \uc2dc\uac04\ub9cc\ud07c \uac78\ub9b0\ub2e4 (\uacf5\ub3d9 \uc6b0\uc2b9).<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>\uc704\uc758 \uc608\uc81c\uc758 \uacbd\uc6b0 \ub2e8\ub3c5 \uc6b0\uc2b9\uc744 \ud558\uae30 \uc704\ud574&nbsp;\ucd5c\uc18c 10\ubbf8\ud130\ub97c \ubd80\uc2a4\ud130\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc774\ub3d9\ud558\uc5ec\uc57c \ud558\ubbc0\ub85c, \uc6d0\ud558\ub294 \ub2f5\uc774 10\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c N, X, Y, \uadf8\ub9ac\uace0 \uac01 \uc7a5\ub09c\uac10 \uc790\ub3d9\ucc28\uc758 \uc18d\ub3c4 V\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c \ub2e8\ub3c5 \uc6b0\uc2b9\uc744 \ud558\uae30 \uc704\ud574 \ubd80\uc2a4\ud130\ub97c \uc0ac\uc6a9\ud574\uc11c \uc774\ub3d9\ud574\uc57c\ud558\ub294 \ucd5c\uc18c\ud55c\uc758 \uac70\ub9ac\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0 N, X, Y\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0 N\uac1c\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c0\ub294\ub370 \uc774\ub294 \uac01 \uc7a5\ub09c\uac10 \uc790\ub3d9\ucc28\uc758 \uc18d\ub3c4 V[i]\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ub2e8\ub3c5 \uc6b0\uc2b9\uc744 \uc704\ud574 \ubd80\uc2a4\ud130\ub97c \uc0ac\uc6a9\ud574\uc11c \uc774\ub3d9\ud574\uc57c\ud558\ub294 \ucd5c\uc18c\ud55c\uc758 \uac70\ub9ac\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d \ubd80\uc2a4\ud130\ub97c \uc4f0\uc9c0 \uc54a\uace0\ub3c4 \ub2e8\ub3c5 \uc6b0\uc2b9\uc774 \uac00\ub2a5\ud558\ub2e4\uba74 0\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubd80\uc2a4\ud130\ub97c \ucd5c\ub300\uce58\ub85c \uc0ac\uc6a9\ud558\uace0\ub3c4 \ub2e8\ub3c5 \uc6b0\uc2b9\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74 -1\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>1 &le; T &le; 10<\/li>\r\n\t<li>2 &le; N &le; 1,000<\/li>\r\n\t<li>1 &le; Y &le; X &le; 1,000,000<\/li>\r\n\t<li>1 &le; V[i] &le; 1,000,000<\/li>\r\n<\/ul>\r\n"},{"problem_id":"19592","problem_lang":"1","title":"Toy Race","description":"<p>You are participating in a toy race featuring toy racing&nbsp;cars, whose racing track is X meters long.<\/p>\r\n\r\n<p>Participants are labeled from 1 to N, and your label is N.<\/p>\r\n\r\n<p>Participant i&#39;s toy car&#39;s regular speed is V[i] meters per second (m\/s), and all toy cars (but yours) always move at the same speed throughout the race.<\/p>\r\n\r\n<p>Your toy car has a special fuel booster (simply, &quot;booster&quot;) in it, and it can be configured to move at Z meters per second for the first 1 second of a race (the toy car would then move at V[N] m\/s for the&nbsp;remaining distance).<\/p>\r\n\r\n<p>You can set the integer value for Z prior to the race, and this value must be no greater than the maximum speed Y of the booster&nbsp;(that is, Z &le; Y).<\/p>\r\n\r\n<p>You want to make sure you are the only winner in this race, but you don&#39;t want to raise suspicions by using too much of a booster -- hence, you want to find the smallest Z that will let you win the race alone.<\/p>\r\n\r\n<p>For instance, suppose that N = 3, X = 12, Y = 11, and V = [3, 2, 1].<\/p>\r\n\r\n<ul>\r\n\t<li>Participant 1&#39;s car moves at 3 m\/s, and finishes the race in 4 seconds.<\/li>\r\n\t<li>Participant 2&#39;s car moves at 2 m\/s, and finishes the race in 6 seconds.<\/li>\r\n\t<li>Participant 3 (you) have a couple of options.\r\n\t<ul>\r\n\t\t<li>If you don&#39;t use the booster at all, your car moves at&nbsp;1 m\/s, and finishes the race in 12 seconds.<\/li>\r\n\t\t<li>If you use the booster at maximum speed (Z = Y), then your car moves 11 m for the first second, and travels&nbsp;the remaining 1 m for 1 second. You&#39;d win the race alone.<\/li>\r\n\t\t<li>If you use the booster a bit less with Z = 10, then your care moves 10 m for the first second, and travels the remaining 2 m for 2 seconds. You&#39;d win the race alone.<\/li>\r\n\t\t<li>If you use the booster a bit less with Z = 9, then you&#39;d finish the race in 4 seconds. There&#39;ll be two winners -- participant 1 and participant 3.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>In this example you will need Z &ge; 10 in order to win the race alone, so the answer is 10.<\/p>\r\n\r\n<p>Given N, X, Y, and V[i]&#39;s, compute the smallest integer value Z that allows you to win the race alone.<\/p>\r\n","input":"<p>The first line will contain T, the number of test cases.<\/p>\r\n\r\n<p>For each test case, the first line will contain N, X, and Y separated by a whitespace.<\/p>\r\n\r\n<p>The second line will contain N integers separated by a whitespace, representing each car&#39;s speed (V[i]).<\/p>\r\n","output":"<p>For each test case, output the smallest Z which is the distance that your car will travel using the booster.&nbsp;<\/p>\r\n\r\n<p>If you can win the race alone without using the booster, output 0.<\/p>\r\n\r\n<p>If you can&#39;t win the race even if you use the booster at maximum capacity, output -1.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; T &le; 10<\/li>\r\n\t<li>2 &le; N &le; 1,000<\/li>\r\n\t<li>1 &le; Y &le; X &le; 1,000,000<\/li>\r\n\t<li>1 &le; V[i] &le; 1,000,000&nbsp;<\/li>\r\n<\/ul>\r\n"}]