시간 제한메모리 제한제출정답맞힌 사람정답 비율
3 초 512 MB3881249131.707%

문제

IOI 2015 개막식이 거의 끝나가고 있다. 개막식이 진행되는 동안, 각 팀은 주최측으로부터 선물상자를 받게 되어 있다. 그러나 모든 자원봉사자들이 개막식에 너무 집중하는 바람에, 선물에 대해서는 완전히 잊고 있었다. 선물을 줘야 한다는 것을 기억하는 사람은 아만 뿐이다. 아만은 열정적인 자원봉사자이며, IOI가 완벽하게 진행되었으면 하는 바램으로 모든 선물을 최소의 시간에 전달하고자 한다.

개막식이 진행되는 곳은 L개의 동일한 구역으로 나뉘어진 원 모양이다. 각 구역은 차례로 0부터 L-1까지 번호가 매겨져 있다. 즉, 0 ≤ i ≤ L-2일 때, 구역 i와 구역 i+1는 서로 인접해 있고, 구역 0과 구역 L-1도 서로 인접해 있다. 개막식에 온 팀들은 모두 N개 팀이다. 각 팀은 이 구역들 중 하나에 앉아 있다. 각 구역에는 임의의 수의 팀들이 있을 수 있다. 어떤 구역에는 팀이 전혀 없을 수도 있다.

선물은 모두 동일하며, 총 N개가 있다. 처음에, 아만과 모든 선물은 구역 0에 있다. 아만은 각 팀에게 선물을 하나씩 주어야 하며, 선물을 다 나눠준 다음에는 구역 0으로 돌아와야 한다. 구역 0에도 팀들이 있을 수 있음에 주의하자.

어떤 순간에도, 아만은 최대 K개의 선물들만을 들 수 있다. 아만은 구역 0에서 선물을 들어야 하고, 드는데는 시간이 들지 않는다. 각각의 선물은 팀에게 전달될 때까지 아만이 들고 있어야 한다. 아만이 하나 이상의 선물을 들고 있고, 아직 선물을 받지 않은 팀(들)이 있는 구역에 도착하면, 아만은 들고 있는 선물을 팀(들)에게 줄 수 있다. 선물을 주는데도 시간이 들지 않는다. 시간이 드는 것은 단지 이동 뿐이다. 아만은 원형인 개막식장에서 양 방향으로 움직일 수 있다. 인접한 구역간을 이동하는데 (시계방향이든 반시계방향이든) 정확히 1초가 걸리며, 선물을 몇 개 들고 있는지와는 관계가 없다.

아만이 모든 선물을 전달하고, 처음 위치로 돌아오는데 필요한 최소의 시간을 구하시오.

이 예제에서 N = 3팀이 있고, 아만은 동시에 최대 K = 2개의 선물을 들 수 있으며, 구역의 수는 L = 8이다. 팀들은 구역 1, 2, 5에 있다.

최적의 해 중 하나가 위 그림에 나와 있다. 처음에 아만은 선물 두 개를 들고, 이를 구역 2에 있는 팀에게 하나를 전달하고, 나머지 하나를 구역 5에 있는 팀에게 준 뒤 구역 0으로 돌아온다. 이 과정은 8초가 걸린다. 다음에 아만은 남은 선물 하나를 구역 1에 있는 팀에게 주고 다시 구역 0으로 돌아온다. 이 과정은 2초가 걸린다. 따라서, 전체 시간은 10초이다.

N, K, L과 모든 팀들의 위치가 주어진다. 아만이 모든 선물을 전달하고 구역 으로 돌아오는데 걸리는 시간의 최솟값을 구하시오.

이를 위하여 delivery 함수를 구현해야 한다:

  • delivery(N, K, L, positions)
    • N: 팀의 수
    • K: 아만이 한 번에 들 수 있는 선물의 최대 개수
    • L: 개막식장의 구역 수
    • positions: 길이 N인 배열. positions[0], ..., positions[N-1]에 각 팀이 있는 구역 번호가 주어진다. positions의 성분들은 감소하지 않는 순서로 주어진다.

이 함수의 리턴값은 아만이 임무를 완수하는데 최소 몇 초가 필요한지이다.

입력

첫째 줄에 N, K, L이 주어진다.

둘째 줄에는 positions[0], ..., positions[N-1]이 주어진다.

출력

delivery(N, K, L, positions)의 리턴값을 출력한다.

서브태스크

번호 배점 제한
1 10

1 ≤ N ≤ 1,000, K = 1, 1 ≤ L ≤ 109

2 10

1 ≤ N ≤ 1,000, K = N, 1 ≤ L ≤ 109

3 15

1 ≤ N ≤ 10, 1 ≤ K ≤ N, 1 ≤ L ≤ 109

4 15

1 ≤ N ≤ 1,000, 1 ≤ K ≤ N, 1 ≤ L ≤ 109

5 20

1 ≤ N ≤ 106, 1 ≤ K ≤ 3,000, 1 ≤ L ≤ 109

6 30

1 ≤ N ≤ 107, 1 ≤ K ≤ N, 1 ≤ L ≤ 109

예제 입력 1

3 2 8
1 2 5

예제 출력 1

10
[{"problem_id":"10919","problem_lang":"0","title":"\uc120\ubb3c\uc0c1\uc790","description":"<p>IOI 2015 \uac1c\ub9c9\uc2dd\uc774 \uac70\uc758 \ub05d\ub098\uac00\uace0 \uc788\ub2e4. \uac1c\ub9c9\uc2dd\uc774 \uc9c4\ud589\ub418\ub294 \ub3d9\uc548, \uac01 \ud300\uc740 \uc8fc\ucd5c\uce21\uc73c\ub85c\ubd80\ud130 \uc120\ubb3c\uc0c1\uc790\ub97c \ubc1b\uac8c \ub418\uc5b4 \uc788\ub2e4. \uadf8\ub7ec\ub098 \ubaa8\ub4e0 \uc790\uc6d0\ubd09\uc0ac\uc790\ub4e4\uc774 \uac1c\ub9c9\uc2dd\uc5d0 \ub108\ubb34 \uc9d1\uc911\ud558\ub294 \ubc14\ub78c\uc5d0, \uc120\ubb3c\uc5d0 \ub300\ud574\uc11c\ub294 \uc644\uc804\ud788 \uc78a\uace0 \uc788\uc5c8\ub2e4. \uc120\ubb3c\uc744 \uc918\uc57c \ud55c\ub2e4\ub294 \uac83\uc744 \uae30\uc5b5\ud558\ub294 \uc0ac\ub78c\uc740 \uc544\ub9cc \ubfd0\uc774\ub2e4. \uc544\ub9cc\uc740 \uc5f4\uc815\uc801\uc778 \uc790\uc6d0\ubd09\uc0ac\uc790\uc774\uba70, IOI\uac00 \uc644\ubcbd\ud558\uac8c \uc9c4\ud589\ub418\uc5c8\uc73c\uba74 \ud558\ub294 \ubc14\ub7a8\uc73c\ub85c \ubaa8\ub4e0 \uc120\ubb3c\uc744 \ucd5c\uc18c\uc758 \uc2dc\uac04\uc5d0 \uc804\ub2ec\ud558\uace0\uc790 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac1c\ub9c9\uc2dd\uc774 \uc9c4\ud589\ub418\ub294 \uacf3\uc740 L\uac1c\uc758 \ub3d9\uc77c\ud55c \uad6c\uc5ed\uc73c\ub85c \ub098\ub258\uc5b4\uc9c4 \uc6d0 \ubaa8\uc591\uc774\ub2e4. \uac01 \uad6c\uc5ed\uc740 \ucc28\ub840\ub85c 0\ubd80\ud130 L-1\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uc989, 0 &le; i &le; L-2\uc77c \ub54c, \uad6c\uc5ed i\uc640 \uad6c\uc5ed i+1\ub294 \uc11c\ub85c \uc778\uc811\ud574 \uc788\uace0, \uad6c\uc5ed 0\uacfc \uad6c\uc5ed L-1\ub3c4 \uc11c\ub85c \uc778\uc811\ud574 \uc788\ub2e4. \uac1c\ub9c9\uc2dd\uc5d0 \uc628 \ud300\ub4e4\uc740 \ubaa8\ub450 N\uac1c \ud300\uc774\ub2e4. \uac01 \ud300\uc740 \uc774 \uad6c\uc5ed\ub4e4 \uc911 \ud558\ub098\uc5d0 \uc549\uc544 \uc788\ub2e4. \uac01 \uad6c\uc5ed\uc5d0\ub294 \uc784\uc758\uc758 \uc218\uc758 \ud300\ub4e4\uc774 \uc788\uc744 \uc218 \uc788\ub2e4. \uc5b4\ub5a4 \uad6c\uc5ed\uc5d0\ub294 \ud300\uc774 \uc804\ud600 \uc5c6\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc120\ubb3c\uc740 \ubaa8\ub450 \ub3d9\uc77c\ud558\uba70, \ucd1d N\uac1c\uac00 \uc788\ub2e4. \ucc98\uc74c\uc5d0, \uc544\ub9cc\uacfc \ubaa8\ub4e0 \uc120\ubb3c\uc740 \uad6c\uc5ed 0\uc5d0 \uc788\ub2e4. \uc544\ub9cc\uc740 \uac01 \ud300\uc5d0\uac8c \uc120\ubb3c\uc744 \ud558\ub098\uc529 \uc8fc\uc5b4\uc57c \ud558\uba70, \uc120\ubb3c\uc744 \ub2e4 \ub098\ub220\uc900 \ub2e4\uc74c\uc5d0\ub294 \uad6c\uc5ed 0\uc73c\ub85c \ub3cc\uc544\uc640\uc57c \ud55c\ub2e4. \uad6c\uc5ed 0\uc5d0\ub3c4 \ud300\ub4e4\uc774 \uc788\uc744 \uc218 \uc788\uc74c\uc5d0 \uc8fc\uc758\ud558\uc790.<\/p>\r\n\r\n<p>\uc5b4\ub5a4 \uc21c\uac04\uc5d0\ub3c4, \uc544\ub9cc\uc740 \ucd5c\ub300 K\uac1c\uc758 \uc120\ubb3c\ub4e4\ub9cc\uc744 \ub4e4 \uc218 \uc788\ub2e4. \uc544\ub9cc\uc740 \uad6c\uc5ed 0\uc5d0\uc11c \uc120\ubb3c\uc744 \ub4e4\uc5b4\uc57c \ud558\uace0, \ub4dc\ub294\ub370\ub294 \uc2dc\uac04\uc774 \ub4e4\uc9c0 \uc54a\ub294\ub2e4. \uac01\uac01\uc758 \uc120\ubb3c\uc740 \ud300\uc5d0\uac8c \uc804\ub2ec\ub420 \ub54c\uae4c\uc9c0 \uc544\ub9cc\uc774 \ub4e4\uace0 \uc788\uc5b4\uc57c \ud55c\ub2e4. \uc544\ub9cc\uc774 \ud558\ub098 \uc774\uc0c1\uc758 \uc120\ubb3c\uc744 \ub4e4\uace0 \uc788\uace0, \uc544\uc9c1 \uc120\ubb3c\uc744 \ubc1b\uc9c0 \uc54a\uc740 \ud300(\ub4e4)\uc774 \uc788\ub294 \uad6c\uc5ed\uc5d0 \ub3c4\ucc29\ud558\uba74, \uc544\ub9cc\uc740 \ub4e4\uace0 \uc788\ub294 \uc120\ubb3c\uc744 \ud300(\ub4e4)\uc5d0\uac8c \uc904 \uc218 \uc788\ub2e4. \uc120\ubb3c\uc744 \uc8fc\ub294\ub370\ub3c4 \uc2dc\uac04\uc774 \ub4e4\uc9c0 \uc54a\ub294\ub2e4. \uc2dc\uac04\uc774 \ub4dc\ub294 \uac83\uc740 \ub2e8\uc9c0 \uc774\ub3d9 \ubfd0\uc774\ub2e4. \uc544\ub9cc\uc740 \uc6d0\ud615\uc778 \uac1c\ub9c9\uc2dd\uc7a5\uc5d0\uc11c \uc591 \ubc29\ud5a5\uc73c\ub85c \uc6c0\uc9c1\uc77c \uc218 \uc788\ub2e4. \uc778\uc811\ud55c \uad6c\uc5ed\uac04\uc744 \uc774\ub3d9\ud558\ub294\ub370 (\uc2dc\uacc4\ubc29\ud5a5\uc774\ub4e0 \ubc18\uc2dc\uacc4\ubc29\ud5a5\uc774\ub4e0) \uc815\ud655\ud788 1\ucd08\uac00 \uac78\ub9ac\uba70, \uc120\ubb3c\uc744 \uba87 \uac1c \ub4e4\uace0 \uc788\ub294\uc9c0\uc640\ub294 \uad00\uacc4\uac00 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub9cc\uc774 \ubaa8\ub4e0 \uc120\ubb3c\uc744 \uc804\ub2ec\ud558\uace0, \ucc98\uc74c \uc704\uce58\ub85c \ub3cc\uc544\uc624\ub294\ub370 \ud544\uc694\ud55c \ucd5c\uc18c\uc758 \uc2dc\uac04\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc774 \uc608\uc81c\uc5d0\uc11c N = 3\ud300\uc774 \uc788\uace0, \uc544\ub9cc\uc740 \ub3d9\uc2dc\uc5d0 \ucd5c\ub300 K = 2\uac1c\uc758 \uc120\ubb3c\uc744 \ub4e4 \uc218 \uc788\uc73c\uba70, \uad6c\uc5ed\uc758 \uc218\ub294 L = 8\uc774\ub2e4. \ud300\ub4e4\uc740 \uad6c\uc5ed 1, 2, 5\uc5d0 \uc788\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/10919\/1.png\" style=\"height:205px; width:654px\" \/><\/p>\r\n\r\n<p>\ucd5c\uc801\uc758 \ud574 \uc911 \ud558\ub098\uac00 \uc704 \uadf8\ub9bc\uc5d0 \ub098\uc640 \uc788\ub2e4. \ucc98\uc74c\uc5d0 \uc544\ub9cc\uc740 \uc120\ubb3c \ub450 \uac1c\ub97c \ub4e4\uace0, \uc774\ub97c \uad6c\uc5ed 2\uc5d0 \uc788\ub294 \ud300\uc5d0\uac8c \ud558\ub098\ub97c \uc804\ub2ec\ud558\uace0, \ub098\uba38\uc9c0 \ud558\ub098\ub97c \uad6c\uc5ed 5\uc5d0 \uc788\ub294 \ud300\uc5d0\uac8c \uc900 \ub4a4 \uad6c\uc5ed 0\uc73c\ub85c \ub3cc\uc544\uc628\ub2e4. \uc774 \uacfc\uc815\uc740 8\ucd08\uac00 \uac78\ub9b0\ub2e4. \ub2e4\uc74c\uc5d0 \uc544\ub9cc\uc740 \ub0a8\uc740 \uc120\ubb3c \ud558\ub098\ub97c \uad6c\uc5ed 1\uc5d0 \uc788\ub294 \ud300\uc5d0\uac8c \uc8fc\uace0 \ub2e4\uc2dc \uad6c\uc5ed 0\uc73c\ub85c \ub3cc\uc544\uc628\ub2e4. \uc774 \uacfc\uc815\uc740 2\ucd08\uac00 \uac78\ub9b0\ub2e4. \ub530\ub77c\uc11c, \uc804\uccb4 \uc2dc\uac04\uc740 10\ucd08\uc774\ub2e4.<\/p>\r\n\r\n<p>N, K, L\uacfc \ubaa8\ub4e0 \ud300\ub4e4\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc544\ub9cc\uc774 \ubaa8\ub4e0 \uc120\ubb3c\uc744 \uc804\ub2ec\ud558\uace0 \uad6c\uc5ed \uc73c\ub85c \ub3cc\uc544\uc624\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc774\ub97c \uc704\ud558\uc5ec <code>delivery<\/code> \ud568\uc218\ub97c \uad6c\ud604\ud574\uc57c \ud55c\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li><code>delivery(N, K, L, positions)<\/code>\r\n\r\n\t<ul>\r\n\t\t<li><code>N<\/code>: \ud300\uc758 \uc218<\/li>\r\n\t\t<li><code>K<\/code>: \uc544\ub9cc\uc774 \ud55c \ubc88\uc5d0 \ub4e4 \uc218 \uc788\ub294 \uc120\ubb3c\uc758 \ucd5c\ub300 \uac1c\uc218<\/li>\r\n\t\t<li><code>L<\/code>: \uac1c\ub9c9\uc2dd\uc7a5\uc758 \uad6c\uc5ed \uc218<\/li>\r\n\t\t<li><code>positions<\/code>: \uae38\uc774 N\uc778 \ubc30\uc5f4. <code>positions[0]<\/code>, ..., <code>positions[N-1]<\/code>\uc5d0 \uac01 \ud300\uc774 \uc788\ub294 \uad6c\uc5ed \ubc88\ud638\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. <code>positions<\/code>\uc758 \uc131\ubd84\ub4e4\uc740 \uac10\uc18c\ud558\uc9c0 \uc54a\ub294 \uc21c\uc11c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 \ud568\uc218\uc758 \ub9ac\ud134\uac12\uc740 \uc544\ub9cc\uc774 \uc784\ubb34\ub97c \uc644\uc218\ud558\ub294\ub370 \ucd5c\uc18c \uba87 \ucd08\uac00 \ud544\uc694\ud55c\uc9c0\uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 <code>N<\/code>, <code>K<\/code>, <code>L<\/code>\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294&nbsp;<code>positions[0]<\/code>, ...,&nbsp;<code>positions[N-1]<\/code>\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p><code>delivery(N, K, L, positions)<\/code>\uc758 \ub9ac\ud134\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<p>1 &le; N &le; 1,000, K = 1, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask2":"<p>1 &le; N &le; 1,000, K = N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask3":"<p>1 &le; N &le; 10, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask4":"<p>1 &le; N &le; 1,000, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask5":"<p>1 &le; N &le; 10<sup>6<\/sup>, 1 &le; K &le; 3,000, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask6":"<p>1 &le; N &le; 10<sup>7<\/sup>, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n"},{"problem_id":"10919","problem_lang":"1","title":"Boxes with souvenirs","description":"<p>The last act of the IOI 2015 opening ceremony is in progress. During the opening ceremony, each team was supposed to receive a box with a souvenir from the host. However, all volunteers are so fascinated by the ceremony that they completely forgot about the souvenirs. The only person who remembers about the souvenirs is Aman. He is an enthusiastic volunteer and he wants the IOI to be perfect, so he wants to deliver all the souvenirs in the least amount of time.<\/p>\r\n\r\n<p>The venue of the opening ceremony is a circle divided into L identical sections. The sections around the circle are numbered consecutively from 0 to L-1. That is, for 0 &le; i &le; L-2, sections i and i+1 are adjacent, and also sections 0 and L-1 are adjacent. There are N teams at the venue. Each team is sitting in one of the sections. Each section may contain arbitrarily many teams. Some sections may even be empty.<\/p>\r\n\r\n<p>There are N identical souvenirs. Initially, both Aman and all of the souvenirs are in section 0. Aman should give one souvenir to each team, and after delivering the last souvenir he must return to section 0. Note that some teams may be sitting in section 0.<\/p>\r\n\r\n<p>At any moment, Aman can only carry at most K souvenirs. Aman must pick up souvenirs in section 0, and this takes him no time. Each souvenir must be carried until it is delivered to one of the teams. Whenever Aman carries one or more souvenirs and reaches a section with a team that has not received a souvenir yet, he may give that team one of the souvenirs he carries. This also happens instantly. The only thing that takes time is movement. Aman can move around the circular venue in both directions. Moving to an adjacent section (either clockwise or counterclockwise) takes him exactly one second, regardless of how many souvenirs he carries.<\/p>\r\n\r\n<p>Your task is to find the smallest number of seconds Aman needs to deliver all souvenirs and then return to his initial position.<\/p>\r\n\r\n<p>In this example we have N = 3 teams, Aman&rsquo;s carrying capacity is K = 2, and the number of sections is L = 8. The teams are located in sections 1, 2, and 5.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/10919\/1.png\" style=\"height:205px; width:654px\" \/><\/p>\r\n\r\n<p>One of the optimal solutions is shown in the picture above. In his first trip Aman takes two souvenirs, delivers one to the team in section 2, then the other to the team in section 5, and finally he returns to section 0. This trip takes 8 seconds. In his second trip Aman brings the remaining souvenir to the team in section 1 and then returns to section 0. He needs another 2 seconds to do this. Thus, the total time is 10 seconds.<\/p>\r\n\r\n<p>You are given N, K, L, and the positions of all teams. Compute the smallest number of seconds Aman needs to deliver all the souvenirs and to return to section 0. You need to implement the function <code>delivery<\/code>:<\/p>\r\n\r\n<ul>\r\n\t<li><code>delivery(N, K, L, positions)<\/code> &mdash; This function will be called by the grader exactly once.\r\n\r\n\t<ul>\r\n\t\t<li><code>N<\/code>: the number of teams.<\/li>\r\n\t\t<li><code>K<\/code>: the maximum number of souvenirs Aman can carry at the same time.<\/li>\r\n\t\t<li><code>L<\/code>: the number of sections in the venue of the opening ceremony.<\/li>\r\n\t\t<li><code>positions<\/code>: an array of length N. <code>positions[0]<\/code>, ..., <code>positions[N-1]<\/code> give the section number of all teams. The elements of positions are in non-decreasing order.<\/li>\r\n\t\t<li>The function should return the smallest number of seconds in which Aman can complete his task.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","input":"<ul>\r\n\t<li>line 1: <code>N<\/code> <code>K<\/code> <code>L<\/code><\/li>\r\n\t<li>line 2: <code>positions[0]<\/code> &hellip; <code>positions[N-1]<\/code><\/li>\r\n<\/ul>\r\n","output":"<p>Prints the return value of <code>delivery<\/code>.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","subtask1":"<p>1 &le; N &le; 1,000, K = 1, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask2":"<p>1 &le; N &le; 1,000, K = N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask3":"<p>1 &le; N &le; 10, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask4":"<p>1 &le; N &le; 1,000, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask5":"<p>1 &le; N &le; 10<sup>6<\/sup>, 1 &le; K &le; 3,000, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n","subtask6":"<p>1 &le; N &le; 10<sup>7<\/sup>, 1 &le; K &le; N, 1 &le; L &le; 10<sup>9<\/sup><\/p>\r\n"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2015 > Day 1 1번

  • 데이터를 추가한 사람: cgiosy
  • 문제의 오타를 찾은 사람: ntopia

채점 및 기타 정보

  • 예제는 채점하지 않는다.