문제
흐즈로는 어느 날 2차원 메타버스를 방문하였습니다. 2차원 메타버스에서 두 점 사이의 거리는 유클리드 거리 $d(A,B)=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}$로 정의합니다. 메타버스에는 $n$개의 국가가 있는데, 각 국가는 한 점 $(x_i,y_i)$로 구성되어 있습니다. 메타버스 세계의 평화 협정에 따라 서로 다른 두 국가가 같은 점을 차지하지 않으며, 어떤 세 국가도 한 직선 위에 있지 않습니다. 흐즈로는 2차원 메타버스에서 세계 일주를 하면 재미있을 것으로 생각하였습니다. 흐즈로의 세계 일주는 다음과 같은 규칙을 따릅니다.
우선 한 국가를 임의로 정합니다. 흐즈로는 그 국가에서 시작해 모든 국가를 한 번씩 지난 뒤 시작한 국가로 돌아옵니다. 국가와 국가 사이를 이동할 때는 두 국가 사이의 최단 경로를 따라 이동합니다. 이때 이동한 거리의 합이 세계 일주의 비용 이 됩니다.
이미 본 것을 다시 봐야 한다면 흐즈로는 지루함을 호소할 것입니다. 따라서 세계 일주 중에 이미 지난 점을 다시 지날 수 없습니다. 이는 국가에 해당하지 않는 점도 포함합니다. 단, 모든 국가를 지난 후 시작한 국가에 도착하는 시점은 예외로 둡니다.
흐즈로는 이 규칙에 따라 세계 일주를 할 수 있을지 궁금했습니다. 흐즈로가 세계 일주를 할 수 있는지 판단하고, 할 수 있다면 세계 일주의 최소 비용을 출력해 주세요.
출력
흐즈로가 규칙에 따라 세계 일주를 할 수 있다면, 그 최소 비용을 한 줄에 출력합니다. 규칙에 따른 세계 일주가 불가능하다면, $-1$을 한 줄에 출력합니다.
문제의 정답과 출력 간의 절대 오차 또는 상대 오차가 10ドル^{-6}$ 이하일 경우 정답으로 인정됩니다.
예제 출력 1
복사
8.944271909999
$(0,1) \ \to \ (2,0) \ \to \ (0,-1) \ \to \ (-2,0) \ \to \ (0,1)$의 경로를 따르면 비용은 4ドル\sqrt{5} \approx 8.944271909999$가 됩니다. 비용을 4ドル\sqrt{5}$보다 작게 만들 수 없으므로 정답은 4ドル\sqrt{5}$가 됩니다.
이때, $(0,1) \ \to \ (0,-1) \ \to \ (2,0) \ \to \ (-2,0) \ \to \ (0,1)$의 경로는 $(0,0)$을 두 번 지나게 되므로 규칙에 어긋납니다.
[{"problem_id":"31219","problem_lang":"0","title":"\uc138\uacc4 \uc77c\uc8fc","description":"<p>\ud750\uc988\ub85c\ub294 \uc5b4\ub290 \ub0a0 2\ucc28\uc6d0 \uba54\ud0c0\ubc84\uc2a4\ub97c \ubc29\ubb38\ud558\uc600\uc2b5\ub2c8\ub2e4. 2\ucc28\uc6d0 \uba54\ud0c0\ubc84\uc2a4\uc5d0\uc11c \ub450 \uc810 \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 \uc720\ud074\ub9ac\ub4dc \uac70\ub9ac $d(A,B)=\\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}$\ub85c \uc815\uc758\ud569\ub2c8\ub2e4. \uba54\ud0c0\ubc84\uc2a4\uc5d0\ub294 $n$\uac1c\uc758 \uad6d\uac00\uac00 \uc788\ub294\ub370, \uac01 \uad6d\uac00\ub294 \ud55c \uc810 $(x_i,y_i)$\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \uba54\ud0c0\ubc84\uc2a4 \uc138\uacc4\uc758 \ud3c9\ud654 \ud611\uc815\uc5d0 \ub530\ub77c \uc11c\ub85c \ub2e4\ub978 \ub450 \uad6d\uac00\uac00 \uac19\uc740 \uc810\uc744 \ucc28\uc9c0\ud558\uc9c0 \uc54a\uc73c\uba70, \uc5b4\ub5a4 \uc138 \uad6d\uac00\ub3c4 \ud55c \uc9c1\uc120 \uc704\uc5d0 \uc788\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ud750\uc988\ub85c\ub294 2\ucc28\uc6d0 \uba54\ud0c0\ubc84\uc2a4\uc5d0\uc11c \uc138\uacc4 \uc77c\uc8fc\ub97c \ud558\uba74 \uc7ac\ubbf8\uc788\uc744 \uac83\uc73c\ub85c \uc0dd\uac01\ud558\uc600\uc2b5\ub2c8\ub2e4. \ud750\uc988\ub85c\uc758 \uc138\uacc4 \uc77c\uc8fc\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc744 \ub530\ub985\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc6b0\uc120 \ud55c \uad6d\uac00\ub97c \uc784\uc758\ub85c \uc815\ud569\ub2c8\ub2e4. \ud750\uc988\ub85c\ub294 \uadf8 \uad6d\uac00\uc5d0\uc11c \uc2dc\uc791\ud574 \ubaa8\ub4e0 \uad6d\uac00\ub97c \ud55c \ubc88\uc529 \uc9c0\ub09c \ub4a4 \uc2dc\uc791\ud55c \uad6d\uac00\ub85c \ub3cc\uc544\uc635\ub2c8\ub2e4. \uad6d\uac00\uc640 \uad6d\uac00 \uc0ac\uc774\ub97c \uc774\ub3d9\ud560 \ub54c\ub294 \ub450 \uad6d\uac00 \uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ub530\ub77c \uc774\ub3d9\ud569\ub2c8\ub2e4. \uc774\ub54c \uc774\ub3d9\ud55c \uac70\ub9ac\uc758 \ud569\uc774 \uc138\uacc4 \uc77c\uc8fc\uc758 <strong>\ube44\uc6a9<\/strong>\uc774 \ub429\ub2c8\ub2e4.<\/li>\r\n\t<li>\uc774\ubbf8 \ubcf8 \uac83\uc744 \ub2e4\uc2dc \ubd10\uc57c \ud55c\ub2e4\uba74 \ud750\uc988\ub85c\ub294 \uc9c0\ub8e8\ud568\uc744 \ud638\uc18c\ud560 \uac83\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc138\uacc4 \uc77c\uc8fc \uc911\uc5d0 \uc774\ubbf8 \uc9c0\ub09c \uc810\uc744 \ub2e4\uc2dc \uc9c0\ub0a0 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4. <strong>\uc774\ub294 \uad6d\uac00\uc5d0 \ud574\ub2f9\ud558\uc9c0 \uc54a\ub294 \uc810\ub3c4 \ud3ec\ud568\ud569\ub2c8\ub2e4.<\/strong> \ub2e8, \ubaa8\ub4e0 \uad6d\uac00\ub97c \uc9c0\ub09c \ud6c4 \uc2dc\uc791\ud55c \uad6d\uac00\uc5d0 \ub3c4\ucc29\ud558\ub294 \uc2dc\uc810\uc740 \uc608\uc678\ub85c \ub461\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ud750\uc988\ub85c\ub294 \uc774 \uaddc\uce59\uc5d0 \ub530\ub77c \uc138\uacc4 \uc77c\uc8fc\ub97c \ud560 \uc218 \uc788\uc744\uc9c0 \uad81\uae08\ud588\uc2b5\ub2c8\ub2e4. \ud750\uc988\ub85c\uac00 \uc138\uacc4 \uc77c\uc8fc\ub97c \ud560 \uc218 \uc788\ub294\uc9c0 \ud310\ub2e8\ud558\uace0, \ud560 \uc218 \uc788\ub2e4\uba74 \uc138\uacc4 \uc77c\uc8fc\uc758 \ucd5c\uc18c \ube44\uc6a9\uc744 \ucd9c\ub825\ud574 \uc8fc\uc138\uc694.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uad6d\uac00\uc758 \uac1c\uc218 $n$\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. ($3 \\le n \\le 10$)<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\ubd80\ud130 $n$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uac01 \uc904\uc5d0 \uad6d\uac00\uac00 \ucc28\uc9c0\ud558\ub294 \uc810\uc758 \uc88c\ud45c\uc5d0 \ud574\ub2f9\ud558\ub294 \ub450 \uc815\uc218 $x_i$\uc640 $y_i$\uac00 \uacf5\ubc31\uc73c\ub85c \ubd84\ub9ac\ub418\uc5b4 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. ($-10^6 \\le x_i,y_i \\le 10^6$)<\/p>\r\n\r\n<p>\uc11c\ub85c \ub2e4\ub978 \ub450 \uad6d\uac00\uac00 \uac19\uc740 \uc810\uc744 \ucc28\uc9c0\ud558\uc9c0 \uc54a\uc73c\uba70, \uc5b4\ub5a4 \uc138 \uad6d\uac00\ub3c4 \ud55c \uc9c1\uc120 \uc704\uc5d0 \uc788\uc9c0 \uc54a\uc74c\uc774 \ubcf4\uc7a5\ub429\ub2c8\ub2e4.<\/p>\r\n","output":"<p>\ud750\uc988\ub85c\uac00 \uaddc\uce59\uc5d0 \ub530\ub77c \uc138\uacc4 \uc77c\uc8fc\ub97c \ud560 \uc218 \uc788\ub2e4\uba74, \uadf8 \ucd5c\uc18c \ube44\uc6a9\uc744 \ud55c \uc904\uc5d0 \ucd9c\ub825\ud569\ub2c8\ub2e4. <strong>\uaddc\uce59\uc5d0 \ub530\ub978 \uc138\uacc4 \uc77c\uc8fc\uac00 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74, $-1$\uc744 \ud55c \uc904\uc5d0 \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/strong><\/p>\r\n\r\n<p>\ubb38\uc81c\uc758 \uc815\ub2f5\uacfc \ucd9c\ub825 \uac04\uc758 \uc808\ub300 \uc624\ucc28 \ub610\ub294 \uc0c1\ub300 \uc624\ucc28\uac00 $10^{-6}$ \uc774\ud558\uc77c \uacbd\uc6b0 \uc815\ub2f5\uc73c\ub85c \uc778\uc815\ub429\ub2c8\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>$(0,1) \\ \\to \\ (2,0) \\ \\to \\ (0,-1) \\ \\to \\ (-2,0) \\ \\to \\ (0,1)$\uc758 \uacbd\ub85c\ub97c \ub530\ub974\uba74 \ube44\uc6a9\uc740 $4\\sqrt{5} \\approx 8.944271909999$\uac00 \ub429\ub2c8\ub2e4. \ube44\uc6a9\uc744 $4\\sqrt{5}$\ubcf4\ub2e4 \uc791\uac8c \ub9cc\ub4e4 \uc218 \uc5c6\uc73c\ubbc0\ub85c \uc815\ub2f5\uc740 $4\\sqrt{5}$\uac00 \ub429\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub54c, $(0,1) \\ \\to \\ (0,-1) \\ \\to \\ (2,0) \\ \\to \\ (-2,0) \\ \\to \\ (0,1)$\uc758 \uacbd\ub85c\ub294 $(0,0)$\uc744 \ub450 \ubc88 \uc9c0\ub098\uac8c \ub418\ubbc0\ub85c \uaddc\uce59\uc5d0 \uc5b4\uae0b\ub0a9\ub2c8\ub2e4.<\/p>\r\n"},{"problem_id":"31219","problem_lang":"1","title":"World Tour","description":"<p>Recently, Chromate visited the 2-dimensional metaverse. On the 2-dimensional metaverse, distance between two points is defined as the Euclidean distance $d(A,B)=\\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}$. There are $n$ nations on the metaverse, each of which consists of one point $(x_i,y_i)$. Due to the Metaverse Peace Agreement, no two nations occupy the same point, and no three nations lie on the same straight line. Chromate thought that it would be fun to do a world tour on the metaverse. Chromate&#39;s world tour follows the rules stated below.<\/p>\r\n\r\n<ul>\r\n\t<li>First, select one nation arbitrarily. Starting from that nation, Chromate will visit every nation exactly once, and return to the first nation visited. While moving from nation to nation, he will always follow the path of shortest distance. Here, the total distance of the path is called the <strong>cost<\/strong> of the world tour.<\/li>\r\n\t<li>If Chromate has to see whatever he already saw, he will suffer from boredom. Therefore, during the world tour, Chromate cannot visit the same point twice. <strong>This includes points not occupied by any nation.<\/strong> Exceptionally, visiting the same point a second time is allowed only at the time returning to the first nation after visiting every single nation.<\/li>\r\n<\/ul>\r\n\r\n<p>Chromate is wondering if he can successfully finish his world tour according to the rules. Decide whether it is possible to finish a world tour according to the rules, and if it is possible, output the minimum cost of the world tour.<\/p>\r\n","input":"<p>On the first line, a single integer $n$ &mdash; the number of nations &mdash; is given. ($3 \\le n \\le 10$)<\/p>\r\n\r\n<p>Each of the following $n$ lines contains&nbsp;$x_i$ and $y_i$, representing the coordinates of each nation. ($-10^6 \\le x_i,y_i \\le 10^6$)<\/p>\r\n\r\n<p>It is guaranteed that no two nations occupy the same point, and no three nations lie on the same straight line.<\/p>\r\n","output":"<p>If Chromate can successfully finish his world tour according to the rules, output the minimum cost of the world tour on one line. <strong>Otherwise, output $-1$ on one line.<\/strong><\/p>\r\n\r\n<p>The output will be considered correct if either the absolute or relative error compared to the optimal answer is no greater than $10^{-6}$.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>If Chromate follows the path&nbsp;$(0,1) \\ \\to \\ (2,0) \\ \\to \\ (0,-1) \\ \\to \\ (-2,0) \\ \\to \\ (0,1)$, the cost becomes&nbsp;$4\\sqrt{5} \\approx&nbsp;8.944271909999$. As the cost cannot be strictly smaller than $4\\sqrt{5}$, the answer is&nbsp;$4\\sqrt{5}$.<\/p>\r\n\r\n<p>Here, the path&nbsp;$(0,1) \\ \\to \\ (0,-1) \\ \\to \\ (2,0) \\ \\to \\ (-2,0) \\ \\to \\ (0,1)$ is against the rules because it passes the point $(0,0)$ twice.<\/p>\r\n"}]