시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 14 3 3 50.000%

문제

상근이는 대서양 해안에 살고 있다. 어느 날 하늘을 쳐다보니 보름달이 떠 있었다. 보름달 일 때는 간만의 차가 커진다. 상근이는 비가 오지 않는 날을 선택해 해안선을 산책하려고 한다.

해안선을 산책하다가 밀물을 만나면 바닷물에 갇힐 수 있다. 따라서, 조류를 잘 살펴본 뒤에 산책 계획을 세워야 한다.

안전하게 산책을 하려면 간조일 때 산책을 하면 된다. 하지만, 문제는 이 해안이 돌로 이루어져 있다는 점이다. 돌에서 미끄러지면 다칠 수 있기 때문에, 상근이는 돌이 한 시간 전에 마른 상태가 되어야 돌 위로 올라갈 수 있다.

해변은 거의 대부분이 모래로 이루어져 있고, 그 위에 돌이 놓여져 있는 형태이다. 모든 구역은 마른 상태이거나 물에 잠겨있는 상태이다. 구역의 높이보다 물의 높이가 높아진 순간에 구역은 물에 잠기며, 인접한 구역의 높이와는 관계 없다.

해변은 10 × 10m 단위로 구역을 나눌 수 있고, 각 구역의 높이는 모두 알고 있다. 각 정사각형에 들어가려면, 인접한 네 정사각형에서 이동해야 한다. 또, 두 구역의 높이가 \(z_1\), \(z_2\)라고 할 때, 높이의 차이 \(\left| z_1 - z_2 \right| \)가 최대 1m인 경우에만 이동할 수 있다.

한 정사각형에서 다른 정사각형으로 갈 때, 걸리는 시간은 일정하며, 이 시간 동안 두 정사각형은 모두 마른 상태이어야 한다.

해수면의 높이는 여러 가지 요인에 의해 결정된다. 상근이는 물의 높이 \(v\)(미터)가 만조로 부터 지난 시간 \(t\)(시간)와 여러 가지 요인에 의해 결졍된 높이 \(a\)(미터)로 다음과 같이 나타낼 수 있다는 사실을 알게 되었다.

\[v=0.5a \cdot (\cos { (t \frac{2 \pi}{12}) } + 1 )\] 

상근이는 산책을 집에서 시작하고, 집에서 끝내려고 한다. 밀물이 몰려오기 전 까지 시간이 얼마 남지 않았기 때문에 0.0 ≤ t ≤ 12.0 시간 안에 산책을 마치려고 한다. 상근이는 얼마나 멀리 산책하러 나갈 수 있을까?

입력

첫째 줄에 두 실수 \(a\) (0.0 < \(a\) < 15.0) 과 한 정사각형을 지나가는데 걸리는 시간 \(m\) (0.1 ≤ \(m\) ≤ 60.0)이 주어진다. \(m\)의 단위는 초이다.

둘째 줄에는 네 정수  \(W\), \(H\), \(X\), \(Y\)이 주어진다. (1 ≤ \(W\),\(H\) ≤ 200, 0 ≤ \(X\) < \(W\), 0 ≤ \(Y\) < \(H\)) \(W\)와 \(H\)는 지도의 너비와 높이이고, \(X\)와 \(Y\)는 상근이의 집의 좌표 (\(X\),\(Y\)) 이다.

다음 \(H\)개 줄에는 \(W\)개의 정수가 공백으로 구분되어져서 주어진다. 각 정수는 각 10 × 10m 단위 정사각형의 높이이며, 가장 해수면의 높이가 낮았을 때가 기준이다. 단위는 밀리미터이다. 각 정사각형의 높이는 0보다 크며, 20,000을 넘지 않는다. 첫째 줄의 첫 번째 숫자가 (0,0)에 해당하며, 상근이의 집은 항상 마른 상태이다.

출력

첫째 줄에 상근이가 가장 멀리 갈 수 있는 곳과의 유클리드 거리를 출력한다. 두 정사각형 사이의 거리는 두 중심 사이의 거리로 계산할 수 있다. 상대/절대 오차가 10-6 이내인 경우에만 정답이다.

소수점 계산으로 생기는 오차를 막기 위해서 걷는 속도 \(0.999m\) < \(m' \) < \(1.001m\)인 \(m'\)인 경우에 정답과 같다.

예제 입력 1

2.0 10.0
3 3 0 0
2001 1000 100
1001 10000 200
100 0 0

예제 출력 1

20

예제 입력 2

4.0 30.0
6 2 2 0
73 1001 4001 1001 76 70
70 2001 3001 2001 72 71

예제 출력 2

22.36067977
[{"problem_id":"9247","problem_lang":"0","title":"\uc808\ubcbd \uac77\uae30","description":"<p>\uc0c1\uadfc\uc774\ub294 \ub300\uc11c\uc591 \ud574\uc548\uc5d0 \uc0b4\uace0 \uc788\ub2e4. \uc5b4\ub290 \ub0a0 \ud558\ub298\uc744 \uccd0\ub2e4\ubcf4\ub2c8 \ubcf4\ub984\ub2ec\uc774 \ub5a0 \uc788\uc5c8\ub2e4. \ubcf4\ub984\ub2ec \uc77c \ub54c\ub294 \uac04\ub9cc\uc758 \ucc28\uac00 \ucee4\uc9c4\ub2e4. \uc0c1\uadfc\uc774\ub294 \ube44\uac00 \uc624\uc9c0 \uc54a\ub294 \ub0a0\uc744 \uc120\ud0dd\ud574 \ud574\uc548\uc120\uc744 \uc0b0\ucc45\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud574\uc548\uc120\uc744 \uc0b0\ucc45\ud558\ub2e4\uac00 \ubc00\ubb3c\uc744 \ub9cc\ub098\uba74 \ubc14\ub2f7\ubb3c\uc5d0 \uac07\ud790 \uc218 \uc788\ub2e4. \ub530\ub77c\uc11c, \uc870\ub958\ub97c \uc798 \uc0b4\ud3b4\ubcf8 \ub4a4\uc5d0 \uc0b0\ucc45 \uacc4\ud68d\uc744 \uc138\uc6cc\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc548\uc804\ud558\uac8c \uc0b0\ucc45\uc744 \ud558\ub824\uba74 \uac04\uc870\uc77c \ub54c \uc0b0\ucc45\uc744 \ud558\uba74 \ub41c\ub2e4. \ud558\uc9c0\ub9cc, \ubb38\uc81c\ub294 \uc774 \ud574\uc548\uc774 \ub3cc\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4\ub294 \uc810\uc774\ub2e4. \ub3cc\uc5d0\uc11c \ubbf8\ub044\ub7ec\uc9c0\uba74 \ub2e4\uce60 \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, \uc0c1\uadfc\uc774\ub294 \ub3cc\uc774 \ud55c \uc2dc\uac04 \uc804\uc5d0 \ub9c8\ub978 \uc0c1\ud0dc\uac00 \ub418\uc5b4\uc57c \ub3cc \uc704\ub85c \uc62c\ub77c\uac08 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud574\ubcc0\uc740 \uac70\uc758 \ub300\ubd80\ubd84\uc774 \ubaa8\ub798\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \uadf8 \uc704\uc5d0 \ub3cc\uc774 \ub193\uc5ec\uc838 \uc788\ub294 \ud615\ud0dc\uc774\ub2e4. \ubaa8\ub4e0 \uad6c\uc5ed\uc740 \ub9c8\ub978 \uc0c1\ud0dc\uc774\uac70\ub098 \ubb3c\uc5d0 \uc7a0\uaca8\uc788\ub294 \uc0c1\ud0dc\uc774\ub2e4. \uad6c\uc5ed\uc758 \ub192\uc774\ubcf4\ub2e4 \ubb3c\uc758 \ub192\uc774\uac00 \ub192\uc544\uc9c4 \uc21c\uac04\uc5d0 \uad6c\uc5ed\uc740 \ubb3c\uc5d0 \uc7a0\uae30\uba70, \uc778\uc811\ud55c \uad6c\uc5ed\uc758 \ub192\uc774\uc640\ub294 \uad00\uacc4 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ud574\ubcc0\uc740 10 &times; 10m \ub2e8\uc704\ub85c \uad6c\uc5ed\uc744 \ub098\ub20c \uc218 \uc788\uace0, \uac01 \uad6c\uc5ed\uc758 \ub192\uc774\ub294 \ubaa8\ub450 \uc54c\uace0 \uc788\ub2e4. \uac01 \uc815\uc0ac\uac01\ud615\uc5d0 \ub4e4\uc5b4\uac00\ub824\uba74, \uc778\uc811\ud55c \ub124 \uc815\uc0ac\uac01\ud615\uc5d0\uc11c \uc774\ub3d9\ud574\uc57c \ud55c\ub2e4. \ub610, \ub450 \uad6c\uc5ed\uc758 \ub192\uc774\uac00 \\(z_1\\), \\(z_2\\)\ub77c\uace0 \ud560 \ub54c, \ub192\uc774\uc758 \ucc28\uc774 \\(\\left| z_1 - z_2 \\right| \\)\uac00 \ucd5c\ub300 1m\uc778 \uacbd\uc6b0\uc5d0\ub9cc \uc774\ub3d9\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud55c \uc815\uc0ac\uac01\ud615\uc5d0\uc11c \ub2e4\ub978 \uc815\uc0ac\uac01\ud615\uc73c\ub85c \uac08 \ub54c, \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 \uc77c\uc815\ud558\uba70, \uc774 \uc2dc\uac04 \ub3d9\uc548 \ub450 \uc815\uc0ac\uac01\ud615\uc740 \ubaa8\ub450 \ub9c8\ub978 \uc0c1\ud0dc\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud574\uc218\uba74\uc758 \ub192\uc774\ub294 \uc5ec\ub7ec \uac00\uc9c0 \uc694\uc778\uc5d0 \uc758\ud574 \uacb0\uc815\ub41c\ub2e4. \uc0c1\uadfc\uc774\ub294 \ubb3c\uc758 \ub192\uc774 \\(v\\)(\ubbf8\ud130)\uac00 \ub9cc\uc870\ub85c \ubd80\ud130 \uc9c0\ub09c \uc2dc\uac04 \\(t\\)(\uc2dc\uac04)\uc640 \uc5ec\ub7ec \uac00\uc9c0 \uc694\uc778\uc5d0 \uc758\ud574 \uacb0\uc84d\ub41c \ub192\uc774 \\(a\\)(\ubbf8\ud130)\ub85c \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uc54c\uac8c \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\\[v=0.5a \\cdot (\\cos { (t \\frac{2 \\pi}{12}) } + 1 )\\]&nbsp;<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc0b0\ucc45\uc744 \uc9d1\uc5d0\uc11c \uc2dc\uc791\ud558\uace0, \uc9d1\uc5d0\uc11c \ub05d\ub0b4\ub824\uace0 \ud55c\ub2e4. \ubc00\ubb3c\uc774 \ubab0\ub824\uc624\uae30 \uc804 \uae4c\uc9c0 \uc2dc\uac04\uc774 \uc5bc\ub9c8 \ub0a8\uc9c0 \uc54a\uc558\uae30 \ub54c\ubb38\uc5d0 0.0 &le; t &le; 12.0 \uc2dc\uac04 \uc548\uc5d0 \uc0b0\ucc45\uc744 \ub9c8\uce58\ub824\uace0 \ud55c\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc5bc\ub9c8\ub098 \uba40\ub9ac \uc0b0\ucc45\ud558\ub7ec \ub098\uac08 \uc218 \uc788\uc744\uae4c?<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub450 \uc2e4\uc218 \\(a\\) (0.0 &lt; \\(a\\) &lt; 15.0) \uacfc \ud55c \uc815\uc0ac\uac01\ud615\uc744 \uc9c0\ub098\uac00\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04 \\(m\\) (0.1 &le; \\(m\\) &le; 60.0)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \\(m\\)\uc758 \ub2e8\uc704\ub294 \ucd08\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \ub124 \uc815\uc218 &nbsp;\\(W\\), \\(H\\), \\(X\\), \\(Y\\)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; \\(W\\),\\(H\\) &le; 200, 0 &le; \\(X\\) &lt; \\(W\\), 0 &le; \\(Y\\) &lt; \\(H\\)) \\(W\\)\uc640 \\(H\\)\ub294 \uc9c0\ub3c4\uc758 \ub108\ube44\uc640 \ub192\uc774\uc774\uace0, \\(X\\)\uc640 \\(Y\\)\ub294 \uc0c1\uadfc\uc774\uc758 \uc9d1\uc758 \uc88c\ud45c (\\(X\\),\\(Y\\)) \uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \\(H\\)\uac1c \uc904\uc5d0\ub294 \\(W\\)\uac1c\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc838\uc11c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc815\uc218\ub294 \uac01 10 &times; 10m \ub2e8\uc704 \uc815\uc0ac\uac01\ud615\uc758 \ub192\uc774\uc774\uba70, \uac00\uc7a5 \ud574\uc218\uba74\uc758 \ub192\uc774\uac00 \ub0ae\uc558\uc744 \ub54c\uac00 \uae30\uc900\uc774\ub2e4. \ub2e8\uc704\ub294 \ubc00\ub9ac\ubbf8\ud130\uc774\ub2e4. \uac01 \uc815\uc0ac\uac01\ud615\uc758 \ub192\uc774\ub294 0\ubcf4\ub2e4 \ud06c\uba70, 20,000\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4. \uccab\uc9f8 \uc904\uc758 \uccab \ubc88\uc9f8 \uc22b\uc790\uac00 (0,0)\uc5d0 \ud574\ub2f9\ud558\uba70, \uc0c1\uadfc\uc774\uc758 \uc9d1\uc740 \ud56d\uc0c1 \ub9c8\ub978 \uc0c1\ud0dc\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uac00 \uac00\uc7a5 \uba40\ub9ac \uac08 \uc218 \uc788\ub294 \uacf3\uacfc\uc758 \uc720\ud074\ub9ac\ub4dc \uac70\ub9ac\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub450 \uc815\uc0ac\uac01\ud615 \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 \ub450 \uc911\uc2ec \uc0ac\uc774\uc758 \uac70\ub9ac\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\ub2e4. \uc0c1\ub300\/\uc808\ub300 \uc624\ucc28\uac00 10-6 \uc774\ub0b4\uc778 \uacbd\uc6b0\uc5d0\ub9cc \uc815\ub2f5\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc18c\uc218\uc810 \uacc4\uc0b0\uc73c\ub85c \uc0dd\uae30\ub294 \uc624\ucc28\ub97c \ub9c9\uae30 \uc704\ud574\uc11c \uac77\ub294 \uc18d\ub3c4 \\(0.999m\\) &lt; \\(m&#39; \\) &lt; \\(1.001m\\)\uc778 \\(m&#39;\\)\uc778 \uacbd\uc6b0\uc5d0 \uc815\ub2f5\uacfc \uac19\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9247","problem_lang":"1","title":"Cliff Walk","description":"<p>One morning last summer, Charlotte was watching the moon and the sun and observed that the moon was full. As she lives along the Atlantic coast she knows that this means a larger variation in the tide compared to \ufb01rst and last quarter. With no rain in the air, it seemed like a perfect week for walks at the beach by the cliffs.<\/p>\r\n\r\n<p>The tide is dangerous when walking at the beach between the sea and the cliff wall. As the water rises, you may get trapped. Therefore it is important to plan the walk according to the behaviour of the tide.<\/p>\r\n\r\n<p>One simple way of cliff walk planning is just to start walking and turn around at low tide. The problem is that on a rocky beach, you want the rocks to dry for one hour before entering them. It could therefore actually be safe to continue the walk a bit further even after low tide. Note that the beach is mostly made of sand and the rocks have many cracks in them, so we assume that all areas are \ufb02ooded or drained at the exact moment when the tide reaches their height, irrespective of the heights of the neighbouring areas.<\/p>\r\n\r\n<p>The beach has been surveyed and a map is available where each 10 &times; 10m square has a certain height. Each square can only be entered from the four neighbouring squares to the north, south, east and west. It is only possible to pass between two squares of height \\(z_1\\), \\(z_2\\) if the absolute height difference \\(\\left| z_1 - z_2 \\right| \\) is at most 1 meter. Charlotte walks in such a way that it takes a constant amount of time to pass from one square to another and during the whole time period both squares must be dry. Charlotte can also decide to stay at a square for any amount of time.<\/p>\r\n\r\n<p>The tide behaves differently at different places on the Earth depending on the sea bottom, coast line etc. Charlotte knows that it is possible to approximate the tide&rsquo;s water level \\(v\\) in meters as \\(v=0.5a \\cdot (\\cos { (t \\frac{2 \\pi}{12}) } + 1 )\\), where \\(t\\) is time in hours since the last high tide and \\(a\\) is height in meters depending on the location, time of the year, etc.<\/p>\r\n\r\n<p>Charlotte will start and \ufb01nish her walk at her home. She limits her time away from home to only one tide interval, so you may assume that 0.0 &le; \\(t\\) &le; 12.0. How far from home is she able to get and still return safely back?<\/p>\r\n","input":"<p>The first line of the input contains two floating point numbers \\(a\\), 0.0 &lt; \\(a\\) &lt; 15.0, and \\(m\\), 0.1 &le; \\(m\\) &le; 60.0, the number of seconds it takes to pass one square on the map. The second line contains four integers \\(W\\), \\(H\\), \\(X\\) and \\(Y\\) where 1 &le; \\(W\\),\\(H\\) &le; 200, 0 &le; \\(X\\) &lt; \\(W\\) and 0 &le; \\(Y\\) &lt; \\(H\\). \\(W\\) and \\(H\\) are the width and height of the map of the coast, \\(X\\) and \\(Y\\) describes the coordinate (\\(X\\),\\(Y\\)) of Charlotte&#39;s home.<\/p>\r\n\r\n<p>The follow \\(H\\) lines each containing \\(W\\) space separated integers, describing the height in millimetres of each 10 &times; 10m surveyed square compared to extreme low tide. You can assume that the height of each square will be at least 0 and at most 20 000 milimetres. The \ufb01rst number on the \ufb01rst line corresponds to coordinate (0, 0). Charlotte&rsquo;s home will always be dry.<\/p>\r\n","output":"<p>Output one line with the maximum Euclidean distance that Charlotte can get from home. The distance between two squares should be measured between their centers. The answer is considered correct if it has an absolute or relative error of at most 10<sup>-6<\/sup>.<\/p>\r\n\r\n<p>To avoid problems with \ufb02oating point numbers, the result is guaranteed to be the same for all walking speeds \\(m&#39;\\) where \\(0.999m\\) &lt; \\(m&#39;&nbsp;\\) &lt; \\(1.001m\\).<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]