시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 512 MB 17 16 14 93.333%

문제

여기, 특이한 방법으로 정렬을 하려고 하는 사람이 있다.

그리고 그의 이름은 존 시나!!!!

CENA.png

알고리즘 전문이 아닌 존 시나는 자신만의 방법으로 수를 정렬하려고 한다. 존 시나가 정렬할 배열에는 1부터 N까지의 자연수가 하나씩 들어있다. 우선 존 시나는 배열 안에서 몇 개의 원소를 골라 "You can't see me"라고 발언한다. 그 후 선택한 원소에 동시에 파이브 너클 셔플을 날린다. 그러면 선택한 원소들이 큰 대미지를 입으며 순서가 무작위로 섞이게 된다.

존 시나는 섞을 원소를 선택할 때 최적의 전략을 사용하고자 한다. 즉, 정렬하는 데 필요한 파이브 너클 셔플 횟수의 기대값을 최소화하려고 한다. (동시에 사용하는 파이브 너클 셔플은 하나로 친다.) 그 기대값은 얼마일까?

입력

첫 줄에 테스트케이스의 개수 T가 주어진다. 각 테스트케이스는 두 줄로 이루어져 있다. 첫 줄에는 배열의 길이 N이 주어진다. 두 번째 줄에는 배열의 원소가 차례대로 주어진다.

1 ≤ T ≤ 100이고, 1 ≤ N ≤ 10이다. 배열에는 1부터 N까지의 자연수가 하나씩 있다.

출력

각 줄에 테스트케이스 번호 x와 최소 기대값 y를 Case #x: y의 형태로 출력한다. y는 반올림하여 소수점 아래 6자리까지 출력한다.

예제 입력 1

3
2
2 1
3
1 3 2
4
2 1 4 3

예제 출력 1

Case #1: 2.000000
Case #2: 2.000000
Case #3: 4.000000

힌트

케이스 #1: 존 시나는 두 원소를 모두 선택하여 파이브 너클 셔플을 날린다. 1/2의 확률로 배열이 정렬되고, 1/2의 확률로 그대로 있으므로 기대값은 2가 된다.

케이스 #2: 존 시나는 3과 2를 선택하여 파이브 너클 셔플을 날린다. #1과 마찬가지로 기대값은 2가 된다.

케이스 #3: 존 시나는 2와 1을 선택하여 파이브 너클 셔플을 날린다. #1과 마찬가지로 이때까지의 기대값은 2가 된다. 그 후 4와 3을 선택하여 파이브 너클 셔플을 날리면 총 기대값은 4가 된다.

[{"problem_id":"12515","problem_lang":"0","title":"\ucc54\ud53c\uc5b8\uc18c\ud2b8 (Small)","description":"<p>\uc5ec\uae30, \ud2b9\uc774\ud55c \ubc29\ubc95\uc73c\ub85c \uc815\ub82c\uc744 \ud558\ub824\uace0 \ud558\ub294 \uc0ac\ub78c\uc774 \uc788\ub2e4.<\/p>\r\n\r\n<p><strong><em>\uadf8\ub9ac\uace0 \uadf8\uc758 \uc774\ub984\uc740 \uc874 \uc2dc\ub098!!!!<\/em><\/strong><\/p>\r\n\r\n<p><img alt=\"CENA.png\" src=\"https:\/\/upload.acmicpc.net\/0a735ed4-7f4a-4536-8ec0-35ae4611fbf5\/-\/preview\/\" \/><\/p>\r\n\r\n<p>\uc54c\uace0\ub9ac\uc998 \uc804\ubb38\uc774 \uc544\ub2cc \uc874 \uc2dc\ub098\ub294 \uc790\uc2e0\ub9cc\uc758 \ubc29\ubc95\uc73c\ub85c \uc218\ub97c \uc815\ub82c\ud558\ub824\uace0 \ud55c\ub2e4. \uc874 \uc2dc\ub098\uac00 \uc815\ub82c\ud560 \ubc30\uc5f4\uc5d0\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc758 \uc790\uc5f0\uc218\uac00 \ud558\ub098\uc529 \ub4e4\uc5b4\uc788\ub2e4. \uc6b0\uc120 \uc874 \uc2dc\ub098\ub294 \ubc30\uc5f4 \uc548\uc5d0\uc11c \uba87 \uac1c\uc758 \uc6d0\uc18c\ub97c \uace8\ub77c &quot;You can&#39;t see me&quot;\ub77c\uace0 \ubc1c\uc5b8\ud55c\ub2e4. \uadf8 \ud6c4 \uc120\ud0dd\ud55c \uc6d0\uc18c\uc5d0 \ub3d9\uc2dc\uc5d0 \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc744 \ub0a0\ub9b0\ub2e4. \uadf8\ub7ec\uba74 \uc120\ud0dd\ud55c \uc6d0\uc18c\ub4e4\uc774 \ud070 \ub300\ubbf8\uc9c0\ub97c \uc785\uc73c\uba70 \uc21c\uc11c\uac00 \ubb34\uc791\uc704\ub85c \uc11e\uc774\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc874 \uc2dc\ub098\ub294 \uc11e\uc744 \uc6d0\uc18c\ub97c \uc120\ud0dd\ud560 \ub54c \ucd5c\uc801\uc758 \uc804\ub7b5\uc744 \uc0ac\uc6a9\ud558\uace0\uc790 \ud55c\ub2e4. \uc989, \uc815\ub82c\ud558\ub294 \ub370 \ud544\uc694\ud55c \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c \ud69f\uc218\uc758 \uae30\ub300\uac12\uc744 \ucd5c\uc18c\ud654\ud558\ub824\uace0 \ud55c\ub2e4. (\ub3d9\uc2dc\uc5d0 \uc0ac\uc6a9\ud558\ub294 \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc740 \ud558\ub098\ub85c \uce5c\ub2e4.) \uadf8 \uae30\ub300\uac12\uc740 \uc5bc\ub9c8\uc77c\uae4c?<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\ub294 \ub450 \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uccab \uc904\uc5d0\ub294 \ubc30\uc5f4\uc758 \uae38\uc774 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 \ubc30\uc5f4\uc758 \uc6d0\uc18c\uac00 \ucc28\ub840\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>1 &le; T &le; 100\uc774\uace0, 1 &le; N &le; 10\uc774\ub2e4. \ubc30\uc5f4\uc5d0\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc758 \uc790\uc5f0\uc218\uac00 \ud558\ub098\uc529 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \uc904\uc5d0 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4 \ubc88\ud638 x\uc640 \ucd5c\uc18c \uae30\ub300\uac12 y\ub97c Case #x: y\uc758 \ud615\ud0dc\ub85c \ucd9c\ub825\ud55c\ub2e4. y\ub294 \ubc18\uc62c\ub9bc\ud558\uc5ec \uc18c\uc218\uc810 \uc544\ub798 6\uc790\ub9ac\uae4c\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ucf00\uc774\uc2a4 #1: \uc874 \uc2dc\ub098\ub294 \ub450 \uc6d0\uc18c\ub97c \ubaa8\ub450 \uc120\ud0dd\ud558\uc5ec \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc744 \ub0a0\ub9b0\ub2e4. 1\/2\uc758 \ud655\ub960\ub85c \ubc30\uc5f4\uc774 \uc815\ub82c\ub418\uace0, 1\/2\uc758 \ud655\ub960\ub85c \uadf8\ub300\ub85c \uc788\uc73c\ubbc0\ub85c \uae30\ub300\uac12\uc740 2\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ucf00\uc774\uc2a4 #2: \uc874 \uc2dc\ub098\ub294 3\uacfc 2\ub97c \uc120\ud0dd\ud558\uc5ec \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc744 \ub0a0\ub9b0\ub2e4. #1\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \uae30\ub300\uac12\uc740 2\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ucf00\uc774\uc2a4 #3: \uc874 \uc2dc\ub098\ub294 2\uc640 1\uc744 \uc120\ud0dd\ud558\uc5ec \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc744 \ub0a0\ub9b0\ub2e4. #1\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \uc774\ub54c\uae4c\uc9c0\uc758 \uae30\ub300\uac12\uc740 2\uac00 \ub41c\ub2e4. \uadf8 \ud6c4 4\uc640 3\uc744 \uc120\ud0dd\ud558\uc5ec \ud30c\uc774\ube0c \ub108\ud074 \uc154\ud50c\uc744 \ub0a0\ub9ac\uba74 \ucd1d \uae30\ub300\uac12\uc740 4\uac00 \ub41c\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"12515","problem_lang":"1","title":"GoroSort (Small)","description":"<p>Goro has 4 arms. Goro is very strong. You don&#39;t mess with Goro. Goro needs to sort an array of&nbsp;<strong>N<\/strong>&nbsp;different integers. Algorithms are not Goro&#39;s strength; strength is Goro&#39;s strength. Goro&#39;s plan is to use the fingers on two of his hands to hold down several elements of the array and hit the table with his third and fourth fists as hard as possible. This will make the unsecured elements of the array fly up into the air, get shuffled randomly, and fall back down into the empty array locations.<\/p>\r\n\r\n<p>Goro wants to sort the array as quickly as possible. How many hits will it take Goro to sort the given array, on average, if he acts intelligently when choosing which elements of the array to hold down before each hit of the table? Goro has an infinite number of fingers on the two hands he uses to hold down the array.<\/p>\r\n\r\n<p>More precisely, before each hit, Goro may choose any subset of the elements of the array to freeze in place. He may choose differently depending on the outcomes of previous hits. Each hit permutes the unfrozen elements uniformly at random. Each permutation is equally likely.<\/p>\r\n","input":"<p>The first line of the input gives the number of test cases,&nbsp;<strong>T<\/strong>.&nbsp;&nbsp;<strong>T<\/strong>&nbsp;test cases follow. Each one will consist of two lines. The first line will give the number&nbsp;<strong>N<\/strong>. The second line will list the&nbsp;<strong>N<\/strong>elements of the array in their initial order.<\/p>\r\n\r\n<h3>Limits<\/h3>\r\n\r\n<ul>\r\n\t<li>1 &le;&nbsp;<strong>T<\/strong>&nbsp;&le; 100;<\/li>\r\n\t<li>The second line of each test case will contain a permutation of the&nbsp;<strong>N<\/strong>&nbsp;smallest positive integers.<\/li>\r\n\t<li>1 &le;&nbsp;<strong>N<\/strong>&nbsp;&le; 10;<\/li>\r\n<\/ul>\r\n","output":"<p>For each test case, output one line containing &quot;Case #<strong>x<\/strong>:&nbsp;<strong>y<\/strong>&quot;, where&nbsp;<strong>x<\/strong>&nbsp;is the case number (starting from 1) and&nbsp;<strong>y<\/strong>&nbsp;is the expected number of hit-the-table operations when following the best hold-down strategy. Answers with an absolute or relative error of at most 10<sup>-6<\/sup>&nbsp;will be considered correct.<\/p>\r\n","hint":"<p>In test case #3, one possible strategy is to hold down the two leftmost elements first. Elements 3 and 4 will be free to move. After a table hit, they will land in the correct order [3, 4] with probability 1\/2 and in the wrong order [4, 3] with probability 1\/2. Therefore, on average it will take 2 hits to arrange them in the correct order. After that, Goro can hold down elements 3 and 4 and hit the table until 1 and 2 land in the correct order, which will take another 2 hits, on average. The total is then&nbsp;2 + 2 = 4&nbsp;hits.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]