시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 4 4 4 100.000%

문제

상범 마법 팬케이크 하우스의 요리사는 가끔씩 팬케이크를 만들다가 잠에 빠진다. 그래서 쌓아둔 팬케이크의 한쪽이 종종 타버린다. 명백하게 탄 팬케이크를 서빙하는 건 좋은 생각이 아니다. 서빙하기 전에 웨이트리스는 팬케이크 더미를 배치해서 타버린 쪽이 아래를 향하도록 할 것이다. 또, 가장 위에는 크기가 제일 작은 팬케이크를, 가장 아래에는 크기가 제일 큰 팬케이크를 놓아 크기 순으로 정렬을 하려고 한다. 웨이트리스를 도와 올바르게 팬케이크를 쌓는 프로그램을 작성하시오.

우리는 한쪽면이 타버린 N개의 팬케이크 더미를 뒤집어야 한다. 우리가 위에서부터 k개의 팬케이크를 하나의 단위로 뒤집으면 맨 위에 있던 팬케이크는 k번째로 들어가고, k번째에 있던 팬케이크는 맨 위로 올라오게 된다.

예를 들면 다음과 같다.(+는 바닥이 탄 것, -는 위가 탄 것, 숫자는 팬케이크의 크기)

+1 -3 -2 [flip 2] => +3 -1 -2 [flip 1] => -3 -1 -2 [flip 3] => +2 +1 +3 [flip 1] => -2 +1 +3 [flip 2] => -1 +2 +3 [flip 1] => +1 +2 +3

최대 3n-2 번의 뒤집기(flip)한 수열을 찾는 프로그램을 만들어야 한다.

(수열의 처음과 마지막은 처음 주어진 상태와 아래가 모두 탄 팬케이크로 만든 상태가 된다)

입력

첫 줄에 테스트 케이스의 수 N이 입력으로 들어온다. 다음 N줄에는 각각의 줄에 팬케이크 수 M, 과 팬케이크의 크기(1~M)이 섞인 순서로 +또는 -부호를 달고 한번씩 등장한다. (M ≤ 30)

출력

각각의 케이스에 대해 한 줄씩 출력한다. 뒤집는 횟수 K(≥0), 한 번에 뒤집어야 하는 케이크 더미의 수 K개를 공백으로 구분하여 출력한다. 하나의 케이스에 대해 여러 개의 답이 존재할 수 있다. (예로 든 문제에서 3 2 3 또한 답이 될 수 있다.)

예제 입력 1

3
3 +1 -3 -2
4 -3 +1 -2 -4
5 +1 +2 +3 +4 -5

예제 출력 1

6 2 1 3 1 2 1
6 4 1 4 3 1 2
3 5 1 5
[{"problem_id":"2715","problem_lang":"0","title":"\uc0c1\ubc94 \ub9c8\ubc95 \ud32c\ucf00\uc774\ud06c \ud558\uc6b0\uc2a4","description":"<p>\r\n\t\uc0c1\ubc94 \ub9c8\ubc95 \ud32c\ucf00\uc774\ud06c \ud558\uc6b0\uc2a4\uc758 \uc694\ub9ac\uc0ac\ub294 \uac00\ub054\uc529 \ud32c\ucf00\uc774\ud06c\ub97c \ub9cc\ub4e4\ub2e4\uac00 \uc7a0\uc5d0 \ube60\uc9c4\ub2e4. \uadf8\ub798\uc11c \uc313\uc544\ub454 \ud32c\ucf00\uc774\ud06c\uc758 \ud55c\ucabd\uc774 \uc885\uc885 \ud0c0\ubc84\ub9b0\ub2e4. \uba85\ubc31\ud558\uac8c \ud0c4 \ud32c\ucf00\uc774\ud06c\ub97c \uc11c\ube59\ud558\ub294 \uac74 \uc88b\uc740 \uc0dd\uac01\uc774 \uc544\ub2c8\ub2e4. \uc11c\ube59\ud558\uae30 \uc804\uc5d0 \uc6e8\uc774\ud2b8\ub9ac\uc2a4\ub294 \ud32c\ucf00\uc774\ud06c \ub354\ubbf8\ub97c \ubc30\uce58\ud574\uc11c \ud0c0\ubc84\ub9b0 \ucabd\uc774 \uc544\ub798\ub97c \ud5a5\ud558\ub3c4\ub85d \ud560 \uac83\uc774\ub2e4. \ub610, \uac00\uc7a5 \uc704\uc5d0\ub294 \ud06c\uae30\uac00 \uc81c\uc77c \uc791\uc740 \ud32c\ucf00\uc774\ud06c\ub97c, \uac00\uc7a5 \uc544\ub798\uc5d0\ub294 \ud06c\uae30\uac00 \uc81c\uc77c \ud070 \ud32c\ucf00\uc774\ud06c\ub97c \ub193\uc544 \ud06c\uae30 \uc21c\uc73c\ub85c \uc815\ub82c\uc744 \ud558\ub824\uace0 \ud55c\ub2e4. \uc6e8\uc774\ud2b8\ub9ac\uc2a4\ub97c \ub3c4\uc640 \uc62c\ubc14\ub974\uac8c \ud32c\ucf00\uc774\ud06c\ub97c \uc313\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\r\n\t\uc6b0\ub9ac\ub294 \ud55c\ucabd\uba74\uc774 \ud0c0\ubc84\ub9b0 N\uac1c\uc758 \ud32c\ucf00\uc774\ud06c \ub354\ubbf8\ub97c \ub4a4\uc9d1\uc5b4\uc57c \ud55c\ub2e4. \uc6b0\ub9ac\uac00 \uc704\uc5d0\uc11c\ubd80\ud130 k\uac1c\uc758 \ud32c\ucf00\uc774\ud06c\ub97c \ud558\ub098\uc758 \ub2e8\uc704\ub85c \ub4a4\uc9d1\uc73c\uba74 \ub9e8 \uc704\uc5d0 \uc788\ub358 \ud32c\ucf00\uc774\ud06c\ub294 k\ubc88\uc9f8\ub85c \ub4e4\uc5b4\uac00\uace0, k\ubc88\uc9f8\uc5d0 \uc788\ub358 \ud32c\ucf00\uc774\ud06c\ub294 \ub9e8 \uc704\ub85c \uc62c\ub77c\uc624\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.(+\ub294 \ubc14\ub2e5\uc774 \ud0c4 \uac83, -\ub294 \uc704\uac00 \ud0c4 \uac83, \uc22b\uc790\ub294 \ud32c\ucf00\uc774\ud06c\uc758 \ud06c\uae30)<\/p>\r\n<p>\r\n\t+1 -3 -2 [flip 2] =&gt; +3 -1 -2 [flip 1] =&gt; -3 -1 -2 [flip 3] =&gt; +2 +1 +3 [flip 1] =&gt; -2 +1 +3 [flip 2] =&gt; -1 +2 +3 [flip 1] =&gt; +1 +2 +3<\/p>\r\n\r\n<p>\r\n\t\ucd5c\ub300 3n-2 \ubc88\uc758 \ub4a4\uc9d1\uae30(flip)\ud55c \uc218\uc5f4\uc744 \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n<p>\r\n\t(\uc218\uc5f4\uc758 \ucc98\uc74c\uacfc \ub9c8\uc9c0\ub9c9\uc740 \ucc98\uc74c \uc8fc\uc5b4\uc9c4 \uc0c1\ud0dc\uc640 \uc544\ub798\uac00 \ubaa8\ub450 \ud0c4 \ud32c\ucf00\uc774\ud06c\ub85c \ub9cc\ub4e0 \uc0c1\ud0dc\uac00 \ub41c\ub2e4)<\/p>\r\n\r\n","input":"<p>\r\n\t\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 N\uc774 \uc785\ub825\uc73c\ub85c \ub4e4\uc5b4\uc628\ub2e4. \ub2e4\uc74c N\uc904\uc5d0\ub294 \uac01\uac01\uc758 \uc904\uc5d0 \ud32c\ucf00\uc774\ud06c \uc218 M, \uacfc \ud32c\ucf00\uc774\ud06c\uc758 \ud06c\uae30(1~M)\uc774 \uc11e\uc778 \uc21c\uc11c\ub85c +\ub610\ub294 -\ubd80\ud638\ub97c \ub2ec\uace0 \ud55c\ubc88\uc529 \ub4f1\uc7a5\ud55c\ub2e4. (M &le; 30)<\/p>\r\n","output":"<p>\r\n\t\uac01\uac01\uc758 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ud55c \uc904\uc529 \ucd9c\ub825\ud55c\ub2e4. \ub4a4\uc9d1\ub294 \ud69f\uc218 K(&ge;0), \ud55c \ubc88\uc5d0 \ub4a4\uc9d1\uc5b4\uc57c \ud558\ub294 \ucf00\uc774\ud06c \ub354\ubbf8\uc758 \uc218 K\uac1c\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4. \ud558\ub098\uc758 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \uc5ec\ub7ec \uac1c\uc758 \ub2f5\uc774 \uc874\uc7ac\ud560 \uc218 \uc788\ub2e4. (\uc608\ub85c \ub4e0 \ubb38\uc81c\uc5d0\uc11c 3 2 3 \ub610\ud55c \ub2f5\uc774 \ub420 \uc218 \uc788\ub2e4.)<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2715","problem_lang":"1","title":"Flipping Burned Pancakes","description":"<p>The cook at the Frobbozz Magic Pancake House sometimes falls asleep on the job while cooking pancakes. As a result, one side of a stack of pancakes is often burned. Clearly, it is bad business to serve visibly burned pancakes to the patrons. Before serving, the waitress will arrange the stacks of pancakes so that the burned sides are facing down. You must write a program to aid the waitress in stacking the pancakes correctly.&nbsp;<\/p>\r\n\r\n<p>We start with a stack of N pancakes of distinct sizes, each of which is burned on one side. The problem is to convert the stack to one in which the pancakes are in size order with the smallest on the top and the largest on the bottom and burned side down for each pancake. To do this, we are allowed to flip the top k pancakes over as a unit (so the k-th pancake is now on top and the pancake previously on top is now in the k-th position and the burned side goes from top to bottom and vice versa).&nbsp;<\/p>\r\n\r\n<p>For example (+ indicates burned bottom, - a burned top):&nbsp;<\/p>\r\n\r\n<p>+1 -3 -2 [flip 2] &rArr; +3 -1 -2 [flip 1] &rArr; -3 -1 -2 [flip 3] &rArr;<br \/>\r\n+2 +1 +3 [flip 1] &rArr; -2 +1 +3 [flip 2] &rArr; -1 +2 +3 [flip 1] &rArr; +1 +2 +3&nbsp;<\/p>\r\n\r\n<p>You must write a program which finds a sequence of at most (3n &ndash; 2) flips, which converts a given stack of pancakes to a sorted stack with burned sides down.<\/p>\r\n","input":"<p>The first line of the input contains a single decimal integer, N, the number of problem instances to follow. Each of the following N lines gives a separate dataset as a sequence of numbers separated by spaces. The first number on each line gives the number, M, of pancakes in the data set. The remainder of the data set is the numbers 1 through M in some order, each with a plus or minus sign, giving the initial pancake stack. The numbers indicate the relative sizes of the pancakes and the signs indicate whether the burned side is up (-) or down (+). M will be, at most, 30.<\/p>\r\n","output":"<p>For each dataset, you should generate one line of output with the following values: The dataset number as a decimal integer (start counting at one), a space, the number of flips (K, where K &gt;= 0) required to sort the pancakes and a sequence of K numbers, each of which gives the number of pancakes to flip on the corresponding sorting step. There may be several correct solutions for some datasets. For instance 3 2 3 is also a solution to the first problem below.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]