시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB120459744748.324%

문제

당신은 세계적인 인간대포 서커스 공연자이다. 즉, 당신은 거대한 가짜 대포 안으로 기어올라가 먼 거리를 발사되며 사람들에게 기쁨을 주는 사람인 것이다. 오늘, 당신은 혼자가 아니다. 당신은 국제 인간대포 회의 겸 전시장에 와 있으며 이 곳에서는 수백명의 인간대포 전문가들이 서로의 경험을 공유하고 기술을 연마한다. 보통 당신의 서커스에서 당신은 한 대포만을 가지고 공연하는데 반해 이곳에서는 사용할 수 있는 수많은 대포가 있다.

여러 대포를 사용하면 회의장을 좀 더 편리하게 돌아다닐 수 있다. 만약 당신이 a장소에서 b장소까지 이동하려 한다면 a 부터 b까지 직선으로 걸어갈 수도 있고, 주변의 대포에 탑승해서 어딘가 다른 곳으로 발사되어 이동할 수도 있다. 발사되고 나면 내린 위치에서 도착점을 향해서 걸어갈 수도 있고, 다시 한 번 또 다른 대포를 이용하여 목적지에 더 빠르게 도착할 수도 있다. 그림 E.1처럼 배치된 지도에서 당신은 a에서 b로 이동하기 위하여 그림 E.2와 같은 경로로 걷거나 대포를 이용하여 움직일 수 있다. 화살표는 당신이 대포에서 발사되어 떨어진 점을 의미하며 직선은 당신이 달린 경로를 나타낸다.

그림 E.1

그림 E.2

당신은 5m/s의 속도로 달린다. 모든 대포는 당신을 당신이 원하는 임의의 방향으로 50m 날려줄 수 있다. 대포에 올라타고 발사되고 착륙하기까지는 정확히 2초가 걸린다. 대포는 장애물이 아니기 때문에 당신이 뛰는 도중에 대포가 있다면 점프해서 넘어가 마치 직선과 같이 움직일 수 있다. 당신의 현재 위치와 목적지의 위치, 그리고 대포들의 위치가 주어질 때 당신은 목적지에 가장 빨리가기 위한 경로를 알고 싶다.

입력

입력은 한 개의 길찾기 문제를 표현한다. 첫 줄에는 두 개의 실수가 입력되며 각각은 당신이 현재 위치한 X, Y좌표이다. 두 번째 줄에는 목적지의 X, Y좌표가 실수로 입력된다. 이어지는 줄에는 대포의 숫자 정수 n이 주어진다. 남은 n줄에는 한 줄에 대포 하나의 위치 정보가 주어지며, 이는 실수로 주어지는 X, Y 좌표이다. 모든 좌표는 미터로 측정되었으며 n의 값은 0 이상 100 이하이다. 입력으로 주어지는 모든 X, Y좌표는 0 이상 500 이하의 실수이고, 소수점 아래로 최대 두 자리까지만 주어진다.

출력

한 줄에 걸쳐 목적지에 다다르기 위해 가장 빠른 시간을 출력하라. 실제 답과 0.001초 미만의 차이는 정답으로 인정한다.

예제 입력 1

25.0 100.0
190.0 57.5
4
125.0 67.5
75.0 125.0
45.0 72.5
185.0 102.5

예제 출력 1

19.984901
[{"problem_id":"10473","problem_lang":"0","title":"\uc778\uac04 \ub300\ud3ec","description":"<p>\ub2f9\uc2e0\uc740 \uc138\uacc4\uc801\uc778 \uc778\uac04\ub300\ud3ec \uc11c\ucee4\uc2a4 \uacf5\uc5f0\uc790\uc774\ub2e4. \uc989, \ub2f9\uc2e0\uc740 \uac70\ub300\ud55c \uac00\uc9dc \ub300\ud3ec \uc548\uc73c\ub85c \uae30\uc5b4\uc62c\ub77c\uac00 \uba3c \uac70\ub9ac\ub97c \ubc1c\uc0ac\ub418\uba70 \uc0ac\ub78c\ub4e4\uc5d0\uac8c \uae30\uc068\uc744 \uc8fc\ub294 \uc0ac\ub78c\uc778 \uac83\uc774\ub2e4. \uc624\ub298, \ub2f9\uc2e0\uc740 \ud63c\uc790\uac00 \uc544\ub2c8\ub2e4. \ub2f9\uc2e0\uc740 \uad6d\uc81c \uc778\uac04\ub300\ud3ec \ud68c\uc758 \uacb8 \uc804\uc2dc\uc7a5\uc5d0 \uc640 \uc788\uc73c\uba70 \uc774 \uacf3\uc5d0\uc11c\ub294 \uc218\ubc31\uba85\uc758 \uc778\uac04\ub300\ud3ec \uc804\ubb38\uac00\ub4e4\uc774 \uc11c\ub85c\uc758 \uacbd\ud5d8\uc744 \uacf5\uc720\ud558\uace0 \uae30\uc220\uc744 \uc5f0\ub9c8\ud55c\ub2e4. \ubcf4\ud1b5 \ub2f9\uc2e0\uc758 \uc11c\ucee4\uc2a4\uc5d0\uc11c \ub2f9\uc2e0\uc740 \ud55c \ub300\ud3ec\ub9cc\uc744 \uac00\uc9c0\uace0 \uacf5\uc5f0\ud558\ub294\ub370 \ubc18\ud574 \uc774\uacf3\uc5d0\uc11c\ub294 \uc0ac\uc6a9\ud560 \uc218 \uc788\ub294 \uc218\ub9ce\uc740 \ub300\ud3ec\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc5ec\ub7ec \ub300\ud3ec\ub97c \uc0ac\uc6a9\ud558\uba74 \ud68c\uc758\uc7a5\uc744 \uc880 \ub354 \ud3b8\ub9ac\ud558\uac8c \ub3cc\uc544\ub2e4\ub2d0 \uc218 \uc788\ub2e4. \ub9cc\uc57d \ub2f9\uc2e0\uc774 a\uc7a5\uc18c\uc5d0\uc11c b\uc7a5\uc18c\uae4c\uc9c0 \uc774\ub3d9\ud558\ub824 \ud55c\ub2e4\uba74 a \ubd80\ud130 b\uae4c\uc9c0 \uc9c1\uc120\uc73c\ub85c \uac78\uc5b4\uac08 \uc218\ub3c4 \uc788\uace0, \uc8fc\ubcc0\uc758 \ub300\ud3ec\uc5d0 \ud0d1\uc2b9\ud574\uc11c \uc5b4\ub518\uac00 \ub2e4\ub978 \uacf3\uc73c\ub85c \ubc1c\uc0ac\ub418\uc5b4 \uc774\ub3d9\ud560 \uc218\ub3c4 \uc788\ub2e4. \ubc1c\uc0ac\ub418\uace0 \ub098\uba74 \ub0b4\ub9b0 \uc704\uce58\uc5d0\uc11c \ub3c4\ucc29\uc810\uc744 \ud5a5\ud574\uc11c \uac78\uc5b4\uac08 \uc218\ub3c4 \uc788\uace0, \ub2e4\uc2dc \ud55c \ubc88 \ub610 \ub2e4\ub978 \ub300\ud3ec\ub97c \uc774\uc6a9\ud558\uc5ec \ubaa9\uc801\uc9c0\uc5d0 \ub354 \ube60\ub974\uac8c \ub3c4\ucc29\ud560 \uc218\ub3c4 \uc788\ub2e4. \uadf8\ub9bc E.1\ucc98\ub7fc \ubc30\uce58\ub41c \uc9c0\ub3c4\uc5d0\uc11c \ub2f9\uc2e0\uc740 a\uc5d0\uc11c b\ub85c \uc774\ub3d9\ud558\uae30 \uc704\ud558\uc5ec \uadf8\ub9bc E.2\uc640 \uac19\uc740 \uacbd\ub85c\ub85c \uac77\uac70\ub098 \ub300\ud3ec\ub97c \uc774\uc6a9\ud558\uc5ec \uc6c0\uc9c1\uc77c \uc218 \uc788\ub2e4. \ud654\uc0b4\ud45c\ub294 \ub2f9\uc2e0\uc774 \ub300\ud3ec\uc5d0\uc11c \ubc1c\uc0ac\ub418\uc5b4 \ub5a8\uc5b4\uc9c4 \uc810\uc744 \uc758\ubbf8\ud558\uba70 \uc9c1\uc120\uc740 \ub2f9\uc2e0\uc774 \ub2ec\ub9b0 \uacbd\ub85c\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/upload\/images2\/human1.png\" style=\"height:199px; width:305px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc E.1<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/upload\/images2\/human2.png\" style=\"height:200px; width:299px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\uadf8\ub9bc E.2<\/p>\r\n\r\n<p>\ub2f9\uc2e0\uc740 5m\/s\uc758 \uc18d\ub3c4\ub85c \ub2ec\ub9b0\ub2e4. \ubaa8\ub4e0 \ub300\ud3ec\ub294 \ub2f9\uc2e0\uc744 \ub2f9\uc2e0\uc774 \uc6d0\ud558\ub294 \uc784\uc758\uc758 \ubc29\ud5a5\uc73c\ub85c 50m \ub0a0\ub824\uc904 \uc218 \uc788\ub2e4. \ub300\ud3ec\uc5d0 \uc62c\ub77c\ud0c0\uace0 \ubc1c\uc0ac\ub418\uace0 \ucc29\ub959\ud558\uae30\uae4c\uc9c0\ub294 \uc815\ud655\ud788 2\ucd08\uac00 \uac78\ub9b0\ub2e4. \ub300\ud3ec\ub294 \uc7a5\uc560\ubb3c\uc774 \uc544\ub2c8\uae30 \ub54c\ubb38\uc5d0 \ub2f9\uc2e0\uc774 \ub6f0\ub294 \ub3c4\uc911\uc5d0 \ub300\ud3ec\uac00 \uc788\ub2e4\uba74 \uc810\ud504\ud574\uc11c \ub118\uc5b4\uac00 \ub9c8\uce58 \uc9c1\uc120\uacfc \uac19\uc774 \uc6c0\uc9c1\uc77c \uc218 \uc788\ub2e4. \ub2f9\uc2e0\uc758 \ud604\uc7ac \uc704\uce58\uc640 \ubaa9\uc801\uc9c0\uc758 \uc704\uce58, \uadf8\ub9ac\uace0 \ub300\ud3ec\ub4e4\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc9c8 \ub54c \ub2f9\uc2e0\uc740 \ubaa9\uc801\uc9c0\uc5d0 \uac00\uc7a5 \ube68\ub9ac\uac00\uae30 \uc704\ud55c \uacbd\ub85c\ub97c \uc54c\uace0 \uc2f6\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \ud55c \uac1c\uc758 \uae38\ucc3e\uae30 \ubb38\uc81c\ub97c \ud45c\ud604\ud55c\ub2e4. \uccab \uc904\uc5d0\ub294 \ub450 \uac1c\uc758 \uc2e4\uc218\uac00 \uc785\ub825\ub418\uba70 \uac01\uac01\uc740 \ub2f9\uc2e0\uc774 \ud604\uc7ac \uc704\uce58\ud55c X, Y\uc88c\ud45c\uc774\ub2e4. \ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 \ubaa9\uc801\uc9c0\uc758 X, Y\uc88c\ud45c\uac00 \uc2e4\uc218\ub85c \uc785\ub825\ub41c\ub2e4. \uc774\uc5b4\uc9c0\ub294 \uc904\uc5d0\ub294 \ub300\ud3ec\uc758 \uc22b\uc790 \uc815\uc218 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub0a8\uc740 n\uc904\uc5d0\ub294 \ud55c \uc904\uc5d0 \ub300\ud3ec \ud558\ub098\uc758 \uc704\uce58 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c0\uba70, \uc774\ub294 \uc2e4\uc218\ub85c \uc8fc\uc5b4\uc9c0\ub294 X, Y \uc88c\ud45c\uc774\ub2e4. \ubaa8\ub4e0 \uc88c\ud45c\ub294 \ubbf8\ud130\ub85c \uce21\uc815\ub418\uc5c8\uc73c\uba70 n\uc758 \uac12\uc740 0 \uc774\uc0c1 100 \uc774\ud558\uc774\ub2e4.&nbsp;\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294&nbsp;\ubaa8\ub4e0 X, Y\uc88c\ud45c\ub294 0 \uc774\uc0c1 500 \uc774\ud558\uc758 \uc2e4\uc218\uc774\uace0,&nbsp;\uc18c\uc218\uc810 \uc544\ub798\ub85c \ucd5c\ub300 \ub450 \uc790\ub9ac\uae4c\uc9c0\ub9cc \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\ud55c \uc904\uc5d0 \uac78\uccd0 \ubaa9\uc801\uc9c0\uc5d0 \ub2e4\ub2e4\ub974\uae30 \uc704\ud574 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac04\uc744 \ucd9c\ub825\ud558\ub77c. \uc2e4\uc81c \ub2f5\uacfc 0.001\ucd08 \ubbf8\ub9cc\uc758 \ucc28\uc774\ub294 \uc815\ub2f5\uc73c\ub85c \uc778\uc815\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"10473","problem_lang":"1","title":"Human Cannonball Run","description":"<p>You are a world-famous circus performer, a human cannonball. This means that you climb into a big, fake cannon and launch yourself great distances to delight young and old alike. Today, you&rsquo;re not alone. You are at the international human cannonball conference and exposition, where hundreds of similar circus performers have gathered together to share their experiences and practice their craft. While you normally have just one cannon to work with, at the conference there are usually lots of cannons to examine and try out.<\/p>\r\n\r\n<p>The availability of several cannons creates some interesting opportunities for navigating the conference. If you want to travel quickly from point a to point b, you could just run straight from a to b, or, you could run to a nearby cannon and launch yourself somewhere else. From there, you can continue to run toward your destination or you can continue to use cannons in an effort to get to your destination more quickly. With cannons positioned like Figure E.1, you could follow a path like the one in Figure E.2 to get from a to b. The arrows show places where you launched yourself out of a cannon, and the lines show where you ran to the next cannon or to your destination.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images2\/human1.png\" style=\"height:199px; width:305px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure E.1: Illustration of the sample input.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images2\/human2.png\" style=\"height:200px; width:299px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure E.2: A suboptimal solution.<\/p>\r\n\r\n<p>You run at a rate of 5 meters per second. All cannons launch you a distance of 50 meters, in any direction you&rsquo;d like. Climbing into a cannon, launching yourself and landing takes a total of 2 seconds. Cannons are not obstacles; if a cannon is in your way, you can jump over or run around it without it slowing you down. Given your current location, a desired destination and the positions of available cannons, you want to plan how to get to the destination as quickly as possible.<\/p>\r\n","input":"<p>The input describes a single navigation problem. The first line gives a pair of real numbers, the X and Y coordinates where you&rsquo;re currently located. The next line give the real-valued X and Y coordinates of the location you&rsquo;d like to reach. This is followed by a line with an integer, n, the number of cannons available. The remaining n input lines each contain a pair of real values giving the X and Y coordinates for a cannon. All coordinates are measured in meters, and the value of n will be between 0 and 100, inclusive.<\/p>\r\n","output":"<p>Print a single line of output, the total number of seconds required to reach your destination as quickly as possible. Your answer must be accurate to within 0.001 seconds.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > North America > North America Qualification Contest > ACM-ICPC North America Qualifier 2014 E번

  • 문제를 번역한 사람: tae
  • 문제를 만든 사람: David Sturgill