시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 256 MB 26 5 5 19.231%

문제

최근 뚜르 드 프랑스에서는 길거리에 돌아다니는 강아지와 자전거가 부딛혀 선수가 상해를 입는 사건이 큰 이슈이다. 이 문제에서 당시는 강아지 맥스의 시점을 이해해보고자 한다. 어디선가 나는 향긋한 냄새를 맡은 맥스는 길 건너편에 맛있어보이는 토끼가 있는 것을 발견했다. 맥스는 도로를 가로질러 달리기로 했다. 당신은 맥스가 주어진 시간에 도로를 건너기 시작할 때 무사히 건널 수 있을지를 확인해야 한다.

도로의 폭은 10미터이고 도로는 직선형태이다. 맥스는 도로를 수직으로 가로질러 달릴 것이다. 맥스는 일정한 속도 M m/sec(0 < M < 20)으로 달린다. 맥스의 몸은 지름이 1미터인 원으로 표현될 수 있다. 아래 그림을 참고하라.

모든 자전거들은 도로 가운데에서 직선으로 달리며 모두 동일한 속도 B m/sec(0 < B < 40)으로 달린다. 각각의 자전거는 길이 2미터의 선분으로 표현된다. 각 자전거는 앞 자전의 뒷부분과 뒷 자전거의 시작부분에 2미터의 간격을 가지고 달리고 있다. 만약 어떤 시점에 맥스를 나타내는 원이 어떤 자전거에 닿거나 교차한다면 충돌이 일어 날 것이다.

t = 0일 때, 맥스는 달리기를 시작하고자 하는 곳에 서 있다(맥스는 정확히 도로 밖 경계에 서 있다). 또한 t = 0일 때, 가장 앞 자전거의 앞부분과 맥스가 건너고자 하는 곳은 수직으로 D미터 떨어져있다. 자전거는 10 대가 연달아 올 것이다.

그림 K.1 t = 0일 때의 상황

입력

입력의 첫 줄에는 테스트 케이스의 숫자 N(1 <= N <= 40)이 주어진다.

각각의 테스트 케이스는 네 줄에 걸쳐 주어진다.

  • 맥스의 속도 실수 M(0 < M < 20)
  • 자전거들의 속도 실수 B(0 < B < 40)
  • 첫 자전거의 앞부분과 맥스가 달려나가고자 하는곳의 수직거리 실수 D(0 <= D <= 50)
  • 맥스가 달려나가기를 시작하고자 하는 시간 실수 T(0 <= T <= 20)

출력

각 문제에 대해서 한 줄에 걸쳐 "Max beats the first bicycle"(맥스가 첫 자전거의 앞을 지나서 토끼에 도달한 경우), "Max crosses safely after bicycle k"(1 <= k <= 10, 맥스가 특정 자전거 사이 혹은 마지막 자전거 뒤로 도로를 건넌 경우), 혹은 "Collision with bicycle k"(1 <= k <= 10, 맥스가 특정 자전거와 충돌했을 경우)를 출력한다. 만약 여러개의 충돌이 일어난다면 가장 첫 충돌을 보고한다.

예제 입력 1

3
5.0
5.0
5.0
0.0
5.0
5.0
6.3
0.0
5.0
5.0
0.0
5.9

예제 출력 1

Collision with bicycle 1
Max beats the first bicycle
Max crosses safely after bicycle 9
[{"problem_id":"10479","problem_lang":"0","title":"\ub530\ub974\ub989 \ub530\ub974\ub989","description":"<p>\ucd5c\uadfc \ub69c\ub974 \ub4dc \ud504\ub791\uc2a4\uc5d0\uc11c\ub294 \uae38\uac70\ub9ac\uc5d0 \ub3cc\uc544\ub2e4\ub2c8\ub294 \uac15\uc544\uc9c0\uc640 \uc790\uc804\uac70\uac00 \ubd80\ub51b\ud600 \uc120\uc218\uac00 \uc0c1\ud574\ub97c \uc785\ub294 \uc0ac\uac74\uc774 \ud070 \uc774\uc288\uc774\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c \ub2f9\uc2dc\ub294 \uac15\uc544\uc9c0 \ub9e5\uc2a4\uc758 \uc2dc\uc810\uc744 \uc774\ud574\ud574\ubcf4\uace0\uc790 \ud55c\ub2e4. \uc5b4\ub514\uc120\uac00 \ub098\ub294 \ud5a5\uae0b\ud55c \ub0c4\uc0c8\ub97c \ub9e1\uc740 \ub9e5\uc2a4\ub294 \uae38 \uac74\ub108\ud3b8\uc5d0 \ub9db\uc788\uc5b4\ubcf4\uc774\ub294 \ud1a0\ub07c\uac00 \uc788\ub294 \uac83\uc744 \ubc1c\uacac\ud588\ub2e4. \ub9e5\uc2a4\ub294 \ub3c4\ub85c\ub97c \uac00\ub85c\uc9c8\ub7ec \ub2ec\ub9ac\uae30\ub85c \ud588\ub2e4. \ub2f9\uc2e0\uc740 \ub9e5\uc2a4\uac00 \uc8fc\uc5b4\uc9c4 \uc2dc\uac04\uc5d0 \ub3c4\ub85c\ub97c \uac74\ub108\uae30 \uc2dc\uc791\ud560 \ub54c \ubb34\uc0ac\ud788 \uac74\ub110 \uc218 \uc788\uc744\uc9c0\ub97c \ud655\uc778\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\ub85c\uc758 \ud3ed\uc740 10\ubbf8\ud130\uc774\uace0 \ub3c4\ub85c\ub294 \uc9c1\uc120\ud615\ud0dc\uc774\ub2e4. \ub9e5\uc2a4\ub294 \ub3c4\ub85c\ub97c \uc218\uc9c1\uc73c\ub85c \uac00\ub85c\uc9c8\ub7ec \ub2ec\ub9b4 \uac83\uc774\ub2e4. \ub9e5\uc2a4\ub294 \uc77c\uc815\ud55c \uc18d\ub3c4 M m\/sec(0 &lt; M &lt; 20)\uc73c\ub85c \ub2ec\ub9b0\ub2e4. \ub9e5\uc2a4\uc758 \ubab8\uc740 \uc9c0\ub984\uc774 1\ubbf8\ud130\uc778 \uc6d0\uc73c\ub85c \ud45c\ud604\ub420 \uc218 \uc788\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc744 \ucc38\uace0\ud558\ub77c.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc790\uc804\uac70\ub4e4\uc740 \ub3c4\ub85c \uac00\uc6b4\ub370\uc5d0\uc11c \uc9c1\uc120\uc73c\ub85c \ub2ec\ub9ac\uba70 \ubaa8\ub450 \ub3d9\uc77c\ud55c \uc18d\ub3c4 B m\/sec(0 &lt; B &lt; 40)\uc73c\ub85c \ub2ec\ub9b0\ub2e4. \uac01\uac01\uc758 \uc790\uc804\uac70\ub294 \uae38\uc774 2\ubbf8\ud130\uc758 \uc120\ubd84\uc73c\ub85c \ud45c\ud604\ub41c\ub2e4. \uac01 \uc790\uc804\uac70\ub294 \uc55e \uc790\uc804\uc758 \ub4b7\ubd80\ubd84\uacfc \ub4b7 \uc790\uc804\uac70\uc758 \uc2dc\uc791\ubd80\ubd84\uc5d0 2\ubbf8\ud130\uc758 \uac04\uaca9\uc744 \uac00\uc9c0\uace0 \ub2ec\ub9ac\uace0 \uc788\ub2e4. \ub9cc\uc57d \uc5b4\ub5a4 \uc2dc\uc810\uc5d0 \ub9e5\uc2a4\ub97c \ub098\ud0c0\ub0b4\ub294 \uc6d0\uc774 \uc5b4\ub5a4 \uc790\uc804\uac70\uc5d0 \ub2ff\uac70\ub098 \uad50\ucc28\ud55c\ub2e4\uba74 \ucda9\ub3cc\uc774 \uc77c\uc5b4 \ub0a0 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>t = 0\uc77c \ub54c, \ub9e5\uc2a4\ub294 \ub2ec\ub9ac\uae30\ub97c \uc2dc\uc791\ud558\uace0\uc790 \ud558\ub294 \uacf3\uc5d0 \uc11c \uc788\ub2e4(\ub9e5\uc2a4\ub294 \uc815\ud655\ud788 \ub3c4\ub85c \ubc16 \uacbd\uacc4\uc5d0 \uc11c \uc788\ub2e4). \ub610\ud55c t = 0\uc77c \ub54c, \uac00\uc7a5 \uc55e \uc790\uc804\uac70\uc758 \uc55e\ubd80\ubd84\uacfc \ub9e5\uc2a4\uac00 \uac74\ub108\uace0\uc790 \ud558\ub294 \uacf3\uc740 \uc218\uc9c1\uc73c\ub85c D\ubbf8\ud130 \ub5a8\uc5b4\uc838\uc788\ub2e4. \uc790\uc804\uac70\ub294 10 \ub300\uac00 \uc5f0\ub2ec\uc544 \uc62c \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images2\/yikes.png\" style=\"height:265px; width:453px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc K.1 t = 0\uc77c \ub54c\uc758 \uc0c1\ud669<\/p>\r\n","input":"<p><span style=\"line-height:1.6em\">\uc785\ub825\uc758 \uccab \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc22b\uc790 N(1 &lt;= N &lt;= 40)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/span><\/p>\r\n\r\n<p>\uac01\uac01\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub124 \uc904\uc5d0 \uac78\uccd0 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub9e5\uc2a4\uc758 \uc18d\ub3c4 \uc2e4\uc218 M(0 &lt; M &lt; 20)<\/li>\r\n\t<li>\uc790\uc804\uac70\ub4e4\uc758 \uc18d\ub3c4 \uc2e4\uc218 B(0 &lt; B &lt; 40)<\/li>\r\n\t<li>\uccab \uc790\uc804\uac70\uc758 \uc55e\ubd80\ubd84\uacfc \ub9e5\uc2a4\uac00 \ub2ec\ub824\ub098\uac00\uace0\uc790 \ud558\ub294\uacf3\uc758 \uc218\uc9c1\uac70\ub9ac \uc2e4\uc218 D(0 &lt;= D &lt;= 50)<\/li>\r\n\t<li>\ub9e5\uc2a4\uac00 \ub2ec\ub824\ub098\uac00\uae30\ub97c \uc2dc\uc791\ud558\uace0\uc790 \ud558\ub294 \uc2dc\uac04 \uc2e4\uc218 T(0 &lt;= T &lt;= 20)<\/li>\r\n<\/ul>\r\n","output":"<p>\uac01 \ubb38\uc81c\uc5d0 \ub300\ud574\uc11c \ud55c \uc904\uc5d0 \uac78\uccd0 &quot;Max beats the first bicycle&quot;(\ub9e5\uc2a4\uac00 \uccab \uc790\uc804\uac70\uc758 \uc55e\uc744 \uc9c0\ub098\uc11c \ud1a0\ub07c\uc5d0 \ub3c4\ub2ec\ud55c \uacbd\uc6b0), &quot;Max crosses safely after bicycle k&quot;(1 &lt;= k &lt;= 10, \ub9e5\uc2a4\uac00 \ud2b9\uc815 \uc790\uc804\uac70 \uc0ac\uc774 \ud639\uc740 \ub9c8\uc9c0\ub9c9 \uc790\uc804\uac70 \ub4a4\ub85c \ub3c4\ub85c\ub97c \uac74\ub10c \uacbd\uc6b0), \ud639\uc740 &quot;Collision with bicycle k&quot;(1 &lt;= k &lt;= 10, \ub9e5\uc2a4\uac00 \ud2b9\uc815 \uc790\uc804\uac70\uc640 \ucda9\ub3cc\ud588\uc744 \uacbd\uc6b0)\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \uc5ec\ub7ec\uac1c\uc758 \ucda9\ub3cc\uc774 \uc77c\uc5b4\ub09c\ub2e4\uba74 \uac00\uc7a5 \uccab \ucda9\ub3cc\uc744 \ubcf4\uace0\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10479","problem_lang":"1","title":"Yikes \u2013 Bikes!","description":"<p>In recent years the riders in the Tour de France bicycle race have been having problems with dogs running in the road, causing expensive damage to bicycles and serious injuries to riders. In this problem you will take the point of view of a dog named Max. Just as the peloton approaches, Max notices a juicy rabbit in the field on the opposite side of the road. He decides to make a dash across the road. Your task is to determine if Max will safely cross the road if he begins his dash at a given time.<\/p>\r\n\r\n<p>The road is ten meters wide and straight in this part of the country. Max&rsquo;s dash will be in a straight line at ninety degrees to the road&rsquo;s center line. He will run at a constant speed of M (0 &lt; M &lt; 20) meters per second. His body can be represented by a circle of diameter one meter projected onto the road surface. See the diagram below.<\/p>\r\n\r\n<p>All the cyclists are in single file racing down the center line of the road, all at the same speed, B (0 &lt; B &lt; 40) meters per second. Each bicycle can be represented by a line segment of length two meters. Its projection onto the road&rsquo;s surface is collinear with the center line of the road. The bicycles are spaced such that their projections form a dashed line with a distance of two meters between the end of one line segment and the beginning of the next. If, at any time during Max&rsquo;s dash, his circle touches or is intersected by one or more line segments representing the bicycles, a collision will occur.<\/p>\r\n\r\n<p>Assume that at t = 0, Max is in position to begin his dash (His circle is completely on the sidewalk, with the edge of the road collinear with one edge of Max&rsquo;s circle). Assume also that, at t = 0, the front endpoint of the line segment used to represent the lead bicycle is exactly D meters from the line that Max will take to cross the highway. There are 10 cyclists in the peloton.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images2\/yikes.png\" style=\"height:265px; width:453px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">Figure K.1: Initial Setup for Max&rsquo;s Dash<\/p>\r\n","input":"<p>aInput begins with a positive integer N (1 &le; N &le; 40) giving the number of problem sets to follow.<\/p>\r\n\r\n<p>Then, follows four lines for each problem set, each line containing one value as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>a real number M (0 &lt; M &lt; 20) giving Max&rsquo;s speed in meters per second, then<\/li>\r\n\t<li>a real number B (0 &lt; B &lt; 40) giving the speed of the cyclists in meters per second, then<\/li>\r\n\t<li>a real number D (0 &le; D &le; 50) giving the distance in meters between the front of the lead bicycle at t = 0 and the line that Max will use to dash across the highway<\/li>\r\n\t<li>a real number T (0 &le; T &le; 20) giving the start time in seconds of Max&rsquo;s dash<\/li>\r\n<\/ul>\r\n","output":"<p>For each problem set output a single line giving one of the phrases, &ldquo;Max beats the first bicycle&rdquo;, &ldquo;Max crosses safely after bicycle k&rdquo;, (1&le; k &le; 10), or &ldquo;Collision with bicycle k&rdquo; (1 &le; k &le; 10). If multiple collisions could occur, report only the first.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]