시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 256 MB 23 5 4 25.000%

문제

운동선수 유라의 코치 민혁이는 체력 측정을 위해서 유라에게 l 미터 달리기를 시키려고 한다. 유라는 v1 m/s 이상 v2 m/s 이하의 일정한 속력으로 달린다.

타이머를 이용하여 유라의 기록을 측정하려던 참에, 민혁이는 타이머를 갖고 오는 것을 잊어버렸다. 유라의 속력을 측정하는 것에 차질이 생긴 민혁이는 다른 방법을 이용하여 유라의 속력을 측정해야 한다.

민혁이는 특정 시점에 시작점과 도착점 사이의 특정 지역에 가서 유라가 이미 왔는지 확인할 수 있다. 이런 방식으로 몇 번 확인하다 보면 +-t/2 m/s의 오차 범위를 감안한 유라의 속력을 구할 수 있다.

민혁이가 특정 지점에 가서 유라의 도달 여부를 확인하는 데 최소 s초의 시간이 걸린다. 따라서 유라가 달리기를 시작한 후 s초 동안은 유라의 도달 여부를 확인할 수 없으며, 유라의 도달 여부를 확인한 후 그 다음 s초 동안 역시 유라의 도달 여부를 확인할 수 없다.

민혁이는 최악의 경우에도 최소한의 확인으로 유라의 속력을 측정하려고 한다. 민혁이를 도와 유라의 속력을 측정하는 전략을 짜는 프로그램을 작성하여라.

입력

입력의 첫 번째 줄에는 테스트 케이스의 수 c (1 ≤ c ≤ 100)가 주어진다.

두 번째 줄부터 c개의 줄에는 정수 l, v1, v2, t, s (1 ≤ l, v1, v2, t, s ≤ 109, v1 < v2)가 주어진다.

출력

각 테스트 케이스에 대해서 답을 한 줄에 하나씩 출력한다.

만약 민혁이가 오차 범위 내에서 유라의 속력을 구할 수 없다면 'impossible'을 출력한다. 그렇지 않은 경우 민혁이가 유라의 속력을 구하기 위한 최소 확인 수를 출력한다.

예제 입력 1

3
1000 1 30 1 1
60 2 10 2 5
59 2 10 2 5

예제 출력 1

5
3
impossible
[{"problem_id":"10790","problem_lang":"0","title":"\ub2ec\ub9ac\uae30","description":"<p>\uc6b4\ub3d9\uc120\uc218 \uc720\ub77c\uc758 \ucf54\uce58 \ubbfc\ud601\uc774\ub294 \uccb4\ub825 \uce21\uc815\uc744 \uc704\ud574\uc11c&nbsp;\uc720\ub77c\uc5d0\uac8c l&nbsp;\ubbf8\ud130 \ub2ec\ub9ac\uae30\ub97c&nbsp;\uc2dc\ud0a4\ub824\uace0 \ud55c\ub2e4. \uc720\ub77c\ub294 v<sub>1<\/sub> m\/s \uc774\uc0c1 v<sub>2<\/sub> m\/s \uc774\ud558\uc758 \uc77c\uc815\ud55c \uc18d\ub825\uc73c\ub85c \ub2ec\ub9b0\ub2e4.<\/p>\r\n\r\n<p>\ud0c0\uc774\uba38\ub97c \uc774\uc6a9\ud558\uc5ec \uc720\ub77c\uc758 \uae30\ub85d\uc744 \uce21\uc815\ud558\ub824\ub358 \ucc38\uc5d0, \ubbfc\ud601\uc774\ub294 \ud0c0\uc774\uba38\ub97c \uac16\uace0 \uc624\ub294 \uac83\uc744 \uc78a\uc5b4\ubc84\ub838\ub2e4. \uc720\ub77c\uc758 \uc18d\ub825\uc744 \uce21\uc815\ud558\ub294 \uac83\uc5d0 \ucc28\uc9c8\uc774 \uc0dd\uae34 \ubbfc\ud601\uc774\ub294 \ub2e4\ub978 \ubc29\ubc95\uc744 \uc774\uc6a9\ud558\uc5ec \uc720\ub77c\uc758 \uc18d\ub825\uc744 \uce21\uc815\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubbfc\ud601\uc774\ub294 \ud2b9\uc815 \uc2dc\uc810\uc5d0 \uc2dc\uc791\uc810\uacfc \ub3c4\ucc29\uc810 \uc0ac\uc774\uc758 \ud2b9\uc815 \uc9c0\uc5ed\uc5d0 \uac00\uc11c \uc720\ub77c\uac00 \uc774\ubbf8 \uc654\ub294\uc9c0 \ud655\uc778\ud560 \uc218 \uc788\ub2e4. \uc774\ub7f0 \ubc29\uc2dd\uc73c\ub85c \uba87 \ubc88 \ud655\uc778\ud558\ub2e4 \ubcf4\uba74 +-t\/2 m\/s\uc758&nbsp;\uc624\ucc28 \ubc94\uc704\ub97c \uac10\uc548\ud55c&nbsp;\uc720\ub77c\uc758 \uc18d\ub825\uc744 \uad6c\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubbfc\ud601\uc774\uac00 \ud2b9\uc815&nbsp;\uc9c0\uc810\uc5d0 \uac00\uc11c \uc720\ub77c\uc758 \ub3c4\ub2ec \uc5ec\ubd80\ub97c \ud655\uc778\ud558\ub294 \ub370 \ucd5c\uc18c s\ucd08\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \ub530\ub77c\uc11c \uc720\ub77c\uac00 \ub2ec\ub9ac\uae30\ub97c \uc2dc\uc791\ud55c \ud6c4 s\ucd08 \ub3d9\uc548\uc740 \uc720\ub77c\uc758&nbsp;\ub3c4\ub2ec \uc5ec\ubd80\ub97c \ud655\uc778\ud560 \uc218 \uc5c6\uc73c\uba70, \uc720\ub77c\uc758 \ub3c4\ub2ec \uc5ec\ubd80\ub97c \ud655\uc778\ud55c \ud6c4 \uadf8 \ub2e4\uc74c s\ucd08 \ub3d9\uc548&nbsp;\uc5ed\uc2dc \uc720\ub77c\uc758 \ub3c4\ub2ec \uc5ec\ubd80\ub97c \ud655\uc778\ud560 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubbfc\ud601\uc774\ub294 \ucd5c\uc545\uc758 \uacbd\uc6b0\uc5d0\ub3c4&nbsp;\ucd5c\uc18c\ud55c\uc758 \ud655\uc778\uc73c\ub85c \uc720\ub77c\uc758 \uc18d\ub825\uc744 \uce21\uc815\ud558\ub824\uace0 \ud55c\ub2e4. \ubbfc\ud601\uc774\ub97c \ub3c4\uc640 \uc720\ub77c\uc758 \uc18d\ub825\uc744 \uce21\uc815\ud558\ub294 \uc804\ub7b5\uc744 \uc9dc\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec\ub77c.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 c&nbsp;(1 &le; c &le; 100)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\ubd80\ud130 c\uac1c\uc758 \uc904\uc5d0\ub294 \uc815\uc218&nbsp;l, v<sub>1<\/sub>, v<sub>2<\/sub>, t,&nbsp;s (1 &le; l, v<sub>1<\/sub>, v<sub>2<\/sub>, t, s &le; 10<sup>9<\/sup>, v<sub>1<\/sub>&nbsp;&lt; v<sub>2<\/sub>)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c \ub2f5\uc744 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d&nbsp;\ubbfc\ud601\uc774\uac00 \uc624\ucc28 \ubc94\uc704 \ub0b4\uc5d0\uc11c&nbsp;\uc720\ub77c\uc758 \uc18d\ub825\uc744 \uad6c\ud560 \uc218 \uc5c6\ub2e4\uba74 &#39;impossible&#39;\uc744 \ucd9c\ub825\ud55c\ub2e4. \uadf8\ub807\uc9c0 \uc54a\uc740 \uacbd\uc6b0&nbsp;\ubbfc\ud601\uc774\uac00 \uc720\ub77c\uc758 \uc18d\ub825\uc744 \uad6c\ud558\uae30 \uc704\ud55c \ucd5c\uc18c \ud655\uc778 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10790","problem_lang":"1","title":"Pipe Stream","description":"<p>Your hometown has hired some contractors &ndash; including you! &ndash; to manage its municipal pipe network. They built the network, at great expense, to supply Flubber to every home in town. Unfortunately, nobody has found a use for Flubber yet, but never mind. It was a Flubber network or a fire department, and honestly, houses burn down so rarely, a fire department hardly seems necessary.<\/p>\r\n\r\n<p>In the possible event that somebody somewhere decides they want some Flubber, they would like to know how quickly it will flow through the pipes. Measuring its rate of flow is your job.<\/p>\r\n\r\n<p>You have access to one of the pipes connected to the network. The pipe is l meters long, and you can start the flow of Flubber through this pipe at a time of your choosing. You know that it flows with a constant real-valued speed, which is at least v<sub>1<\/sub> meters\/second and at most v<sub>2<\/sub> meters\/second. You want to estimate this speed with an absolute error of at most t\/2 meters\/second.<\/p>\r\n\r\n<p>Unfortunately, the pipe is opaque, so the only thing you can do is to knock on the pipe at any point along its length, that is, in the closed real-valued range [0, l]. Listening to the sound of the knock will tell you whether or not the Flubber has reached that point. You are not infinitely fast. Your first knock must be at least s seconds after starting the flow, and there must be at least s seconds between knocks.<\/p>\r\n\r\n<p>Determine a strategy that will require the fewest knocks, in the worst case, to estimate how fast the Flubber is flowing. Note that in some cases the desired estimation might be impossible (for example, if the Flubber reaches the end of the pipe too quickly).<\/p>\r\n","input":"<p>The input consists of multiple test cases. The first line of input contains an integer c (1 &le; c &le; 100), the number of test cases. Each of the next c lines describes one test case. Each test case contains the five integers l, v<sub>1<\/sub>, v<sub>2<\/sub>, t and s (1 &le; l, v<sub>1<\/sub>, v<sub>2<\/sub>, t, s &le; 10<sup>9<\/sup> and v<sub>1<\/sub> &lt; v<sub>2<\/sub>), which are described above.<\/p>\r\n","output":"<p>For each test case, display the minimal number of knocks required to estimate the flow speed in the worst case. If it might be impossible to measure the flow speed accurately enough, display impossible instead.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > World Finals > 2015 World Finals G번