시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 256 MB 164 91 86 60.140%

문제

초등학교 선생님 강산이는 아이들을 데리고 단체로 어떤 일을 할 때 불편함이 없도록 새로 반에 배정받은 아이들에게 키 순서대로 번호를 부여한다. 번호를 부여할 땐 키가 가장 작은 아이가 1번, 그 다음이 2번, ... , 가장 큰 아이가 20번이 된다. 강산이네 반 아이들은 항상 20명이며, 다행히도 같은 키를 가진 학생은 한 명도 없어서 시간이 조금 지나면 아이들은 자기들의 번호를 인지하고 한 줄로 세우면 제대로 된 위치에 잘 서게 된다.

하지만 매년 첫 며칠간 강산이와 강산이네 반 아이들은 자기가 키 순으로 몇 번째인지 잘 알지 못해 아주 혼란스럽다. 자기 위치를 찾지 못하는 아이들을 위해 강산이는 특별한 방법을 생각해냈다.

우선 아무나 한 명을 뽑아 줄의 맨 앞에 세운다. 그리고 그 다음부터는 학생이 한 명씩 줄의 맨 뒤에 서면서 다음 과정을 거친다.

  • 자기 앞에 자기보다 키가 큰 학생이 없다면 그냥 그 자리에 서고 차례가 끝난다.
  • 자기 앞에 자기보다 키가 큰 학생이 한 명 이상 있다면 그중 가장 앞에 있는 학생(A)의 바로 앞에 선다. 이 때, A부터 그 뒤의 모든 학생들은 공간을 만들기 위해 한 발씩 뒤로 물러서게 된다.

이 과정을 반복하면 결국 오름차순으로 줄을 설 수가 있다.

아이들의 키가 주어지고, 어떤 순서로 아이들이 줄서기를 할 지 주어진다. 위의 방법을 마지막 학생까지 시행하여 줄서기가 끝났을 때 학생들이 총 몇 번 뒤로 물러서게 될까?

입력

첫 줄에 테스트 케이스의 수 P (1 ≤ P ≤ 1000) 가 주어진다.

각 테스트 케이스는 테스트 케이스 번호 T와 20개의 양의 정수가 공백으로 구분되어 주어진다.

20개의 정수는 줄서기를 할 아이들의 키를 줄서기 차례의 순서대로 밀리미터 단위로 나타낸 것이다.

모든 테스트 케이스는 독립적이다.

출력

각각의 테스트 케이스에 대해 테스트 케이스의 번호와 학생들이 뒤로 물러난 걸음 수의 총합을 공백으로 구분하여 출력한다.

예제 입력 1

4
1 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919
2 919 918 917 916 915 914 913 912 911 910 909 908 907 906 905 904 903 902 901 900
3 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 900
4 918 917 916 915 914 913 912 911 910 909 908 907 906 905 904 903 902 901 900 919

예제 출력 1

1 0
2 190
3 19
4 171
[{"problem_id":"10431","problem_lang":"0","title":"\uc904\uc138\uc6b0\uae30","description":"<p>\ucd08\ub4f1\ud559\uad50 \uc120\uc0dd\ub2d8 \uac15\uc0b0\uc774\ub294 \uc544\uc774\ub4e4\uc744 \ub370\ub9ac\uace0 \ub2e8\uccb4\ub85c \uc5b4\ub5a4 \uc77c\uc744 \ud560 \ub54c \ubd88\ud3b8\ud568\uc774 \uc5c6\ub3c4\ub85d \uc0c8\ub85c \ubc18\uc5d0 \ubc30\uc815\ubc1b\uc740 \uc544\uc774\ub4e4\uc5d0\uac8c \ud0a4 \uc21c\uc11c\ub300\ub85c \ubc88\ud638\ub97c \ubd80\uc5ec\ud55c\ub2e4. \ubc88\ud638\ub97c \ubd80\uc5ec\ud560 \ub550 \ud0a4\uac00 \uac00\uc7a5 \uc791\uc740 \uc544\uc774\uac00 1\ubc88, \uadf8 \ub2e4\uc74c\uc774 2\ubc88, ... , \uac00\uc7a5 \ud070 \uc544\uc774\uac00 20\ubc88\uc774 \ub41c\ub2e4. \uac15\uc0b0\uc774\ub124 \ubc18 \uc544\uc774\ub4e4\uc740 \ud56d\uc0c1 20\uba85\uc774\uba70, \ub2e4\ud589\ud788\ub3c4 \uac19\uc740 \ud0a4\ub97c \uac00\uc9c4 \ud559\uc0dd\uc740 \ud55c \uba85\ub3c4 \uc5c6\uc5b4\uc11c \uc2dc\uac04\uc774 \uc870\uae08 \uc9c0\ub098\uba74 \uc544\uc774\ub4e4\uc740 \uc790\uae30\ub4e4\uc758 \ubc88\ud638\ub97c \uc778\uc9c0\ud558\uace0 \ud55c \uc904\ub85c \uc138\uc6b0\uba74 \uc81c\ub300\ub85c \ub41c \uc704\uce58\uc5d0 \uc798 \uc11c\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \ub9e4\ub144 \uccab \uba70\uce60\uac04 \uac15\uc0b0\uc774\uc640 \uac15\uc0b0\uc774\ub124 \ubc18 \uc544\uc774\ub4e4\uc740 \uc790\uae30\uac00 \ud0a4 \uc21c\uc73c\ub85c \uba87 \ubc88\uc9f8\uc778\uc9c0 \uc798 \uc54c\uc9c0 \ubabb\ud574 \uc544\uc8fc \ud63c\ub780\uc2a4\ub7fd\ub2e4. \uc790\uae30 \uc704\uce58\ub97c \ucc3e\uc9c0 \ubabb\ud558\ub294 \uc544\uc774\ub4e4\uc744 \uc704\ud574 \uac15\uc0b0\uc774\ub294 \ud2b9\ubcc4\ud55c \ubc29\ubc95\uc744 \uc0dd\uac01\ud574\ub0c8\ub2e4.<\/p>\r\n\r\n<p>\uc6b0\uc120 \uc544\ubb34\ub098 \ud55c \uba85\uc744 \ubf51\uc544 \uc904\uc758 \ub9e8 \uc55e\uc5d0 \uc138\uc6b4\ub2e4. \uadf8\ub9ac\uace0 \uadf8 \ub2e4\uc74c\ubd80\ud130\ub294 \ud559\uc0dd\uc774 \ud55c \uba85\uc529 \uc904\uc758 \ub9e8 \ub4a4\uc5d0 \uc11c\uba74\uc11c \ub2e4\uc74c \uacfc\uc815\uc744 \uac70\uce5c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc790\uae30 \uc55e\uc5d0 \uc790\uae30\ubcf4\ub2e4 \ud0a4\uac00 \ud070 \ud559\uc0dd\uc774 \uc5c6\ub2e4\uba74 \uadf8\ub0e5 \uadf8 \uc790\ub9ac\uc5d0 \uc11c\uace0 \ucc28\ub840\uac00 \ub05d\ub09c\ub2e4.<\/li>\r\n\t<li>\uc790\uae30 \uc55e\uc5d0 \uc790\uae30\ubcf4\ub2e4 \ud0a4\uac00 \ud070 \ud559\uc0dd\uc774 \ud55c \uba85 \uc774\uc0c1 \uc788\ub2e4\uba74 \uadf8\uc911 \uac00\uc7a5 \uc55e\uc5d0 \uc788\ub294 \ud559\uc0dd(A)\uc758 \ubc14\ub85c \uc55e\uc5d0 \uc120\ub2e4. \uc774 \ub54c, A\ubd80\ud130 \uadf8 \ub4a4\uc758 \ubaa8\ub4e0 \ud559\uc0dd\ub4e4\uc740 \uacf5\uac04\uc744 \ub9cc\ub4e4\uae30 \uc704\ud574 \ud55c \ubc1c\uc529 \ub4a4\ub85c \ubb3c\ub7ec\uc11c\uac8c \ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 \uacfc\uc815\uc744 \ubc18\ubcf5\ud558\uba74 \uacb0\uad6d \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc904\uc744 \uc124 \uc218\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc544\uc774\ub4e4\uc758 \ud0a4\uac00 \uc8fc\uc5b4\uc9c0\uace0, \uc5b4\ub5a4 \uc21c\uc11c\ub85c \uc544\uc774\ub4e4\uc774 \uc904\uc11c\uae30\ub97c \ud560 \uc9c0 \uc8fc\uc5b4\uc9c4\ub2e4. \uc704\uc758 \ubc29\ubc95\uc744 \ub9c8\uc9c0\ub9c9 \ud559\uc0dd\uae4c\uc9c0 \uc2dc\ud589\ud558\uc5ec \uc904\uc11c\uae30\uac00 \ub05d\ub0ac\uc744 \ub54c \ud559\uc0dd\ub4e4\uc774 \ucd1d \uba87 \ubc88 \ub4a4\ub85c \ubb3c\ub7ec\uc11c\uac8c \ub420\uae4c?<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 P (1 &le; P &le; 1000) \uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubc88\ud638 T\uc640 20\uac1c\uc758 \uc591\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>20\uac1c\uc758 \uc815\uc218\ub294 \uc904\uc11c\uae30\ub97c \ud560 \uc544\uc774\ub4e4\uc758 \ud0a4\ub97c \uc904\uc11c\uae30 \ucc28\ub840\uc758 \uc21c\uc11c\ub300\ub85c \ubc00\ub9ac\ubbf8\ud130 \ub2e8\uc704\ub85c \ub098\ud0c0\ub0b8 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub3c5\ub9bd\uc801\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\uc640 \ud559\uc0dd\ub4e4\uc774 \ub4a4\ub85c \ubb3c\ub7ec\ub09c \uac78\uc74c \uc218\uc758 \ucd1d\ud569\uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10431","problem_lang":"1","title":"Height Ordering","description":"<p>Mrs. Chambers always has her class line up in height order (shortest at the front of the line). Every September a new class of exactly 20 3rd graders arrive, all of different height. For the first few days it takes a long time to get the kids in height order, since no one knows where they should be in the line. Needless to say, there is quite a bit of jockeying around. This year Mrs. Chambers decided to try a new method to minimize this ordering chaos. One student would be selected to be the first person in line. Then, another student is selected and would find the first person in the line that is taller than him, and stand in front of that person, thereby causing all the students behind him to step back to make room. If there is no student that is taller, then he would stand at the end of the line. This process continues, one student at-a-time, until all the students are in line, at which point the students will be lined up in height order.<\/p>\r\n\r\n<p>For this problem, you will write a program that calculates the total number of steps taken back during the ordering process for a given class of students.<\/p>\r\n","input":"<p>The first line of input contains a single integer P, (1 &le; P &le; 1000), which is the number of data sets that follow. Each data set should be processed identically and independently.<\/p>\r\n\r\n<p>Each data set consists of a single line of input. It contains the data set number, K, followed by 20 non-negative unique integers separated by a single space. The 20 integers represent the height (in millimeters) of each student in the class.<\/p>\r\n","output":"<p>For each data set there is one line of output. The single output line consists of the data set number, K, followed by a single space followed by total number of steps taken back.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]