시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 80 27 25 40.323%

문제

준규는 천재다. 하지만 준규의 발명품은 용도가 좀 애매하다. 준규의 최신 발명품인 'Shuffle-o-matic 3175' 역시 좀 애매하다. Shuffle-o-matic은 아주 특별한 방식으로 사용된다. 먼저 1부터 N까지의 수가 적힌 N개의 카드를 이 기계에 위에 놓는다. 그 다음 셔플 수열을 입력하고 작동 버튼을 누르면, 기계가 자동으로 카드의 숫자를 읽어서 그 수열을 테입에 출력한다. 그 후 기계는 셔플 수열대로 카드를 섞은 후 카드의 숫자를 읽어 테입의 다음 줄에 출력한다. 같은 방식으로 한 번 더 셔플 수열대로 카드를 섞고 다시 카드의 수를 테입의 다음 줄에 출력한다. 테입이 다 떨어질 때 까지 이 과정을 반복한다.

준규는 자신의 발명품을 테스트 해 본 후 좀 쉬기로 했다. 그러다 출력 테입의 한 조각을 발견했다. 그리고 모든 줄은 앞에서부터 C개의 수와 뒤에서부터 D개의 수가 지워져 있었다.

준규는 섞기 전의 수열을 1번째 수열이라고 했을때, A번째 수열에서 B번째 수열까지의 수열 중 맨 처음 섞기 전의 순서와 적힌 부분이 모두 일치하는 수열이 몇 개인지 궁금해졌다. 이를 계산하는 프로그램을 작성하시오.

입력

입력의 첫째 줄에는 정수 N, A, B, C, D (1 ≤ N ≤ 500 000, A ≤ B ≤ 10^12, 0 ≤ C, D ≤ N, C + D < N)가 차례로 주어진다.

둘째 줄에는 셔플 수열이 주어진다. 이 수열에는 1부터 N까지의 수가 한 번씩 등장한다. 만약 수열의 k번째 숫자가 x라면, 이는 카드를 섞을 때 k번째 수를 x번째로 옮긴다는 의미이다.

출력

준규가 찾는 수열의 개수를 출력한다.

예제 입력 1

4 1 5 0 1
1 3 4 2

예제 출력 1

2

힌트

맨 처음 카드의 순서가 1234였다고 하면 이 종이에는

  • 1234
  • 1423
  • 1342
  • 1234
  • 1423

가 적혀 있고, 이 중 앞에서부터 3개의 수가 123인 줄은 총 두 개이므로 답은 2이다.

[{"problem_id":"2924","problem_lang":"0","title":"\ucc9c\uc7ac","description":"<p>\uc900\uaddc\ub294 \ucc9c\uc7ac\ub2e4. \ud558\uc9c0\ub9cc \uc900\uaddc\uc758 \ubc1c\uba85\ud488\uc740 \uc6a9\ub3c4\uac00 \uc880 \uc560\ub9e4\ud558\ub2e4. \uc900\uaddc\uc758 \ucd5c\uc2e0 \ubc1c\uba85\ud488\uc778&nbsp;&#39;Shuffle-o-matic 3175&#39; \uc5ed\uc2dc \uc880 \uc560\ub9e4\ud558\ub2e4.&nbsp;Shuffle-o-matic\uc740 \uc544\uc8fc \ud2b9\ubcc4\ud55c \ubc29\uc2dd\uc73c\ub85c \uc0ac\uc6a9\ub41c\ub2e4. \uba3c\uc800 1\ubd80\ud130 N\uae4c\uc9c0\uc758 \uc218\uac00 \uc801\ud78c N\uac1c\uc758 \uce74\ub4dc\ub97c \uc774 \uae30\uacc4\uc5d0 \uc704\uc5d0 \ub193\ub294\ub2e4. \uadf8 \ub2e4\uc74c \uc154\ud50c \uc218\uc5f4\uc744 \uc785\ub825\ud558\uace0 \uc791\ub3d9 \ubc84\ud2bc\uc744 \ub204\ub974\uba74, \uae30\uacc4\uac00 \uc790\ub3d9\uc73c\ub85c \uce74\ub4dc\uc758 \uc22b\uc790\ub97c \uc77d\uc5b4\uc11c \uadf8 \uc218\uc5f4\uc744 \ud14c\uc785\uc5d0 \ucd9c\ub825\ud55c\ub2e4. \uadf8 \ud6c4 \uae30\uacc4\ub294 \uc154\ud50c \uc218\uc5f4\ub300\ub85c \uce74\ub4dc\ub97c \uc11e\uc740 \ud6c4 \uce74\ub4dc\uc758 \uc22b\uc790\ub97c \uc77d\uc5b4 \ud14c\uc785\uc758 \ub2e4\uc74c \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4. \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c \ud55c \ubc88 \ub354 \uc154\ud50c \uc218\uc5f4\ub300\ub85c \uce74\ub4dc\ub97c \uc11e\uace0 \ub2e4\uc2dc \uce74\ub4dc\uc758 \uc218\ub97c \ud14c\uc785\uc758 \ub2e4\uc74c \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4. \ud14c\uc785\uc774 \ub2e4 \ub5a8\uc5b4\uc9c8 \ub54c \uae4c\uc9c0 \uc774 \uacfc\uc815\uc744 \ubc18\ubcf5\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc900\uaddc\ub294 \uc790\uc2e0\uc758 \ubc1c\uba85\ud488\uc744 \ud14c\uc2a4\ud2b8 \ud574 \ubcf8 \ud6c4 \uc880 \uc26c\uae30\ub85c \ud588\ub2e4. \uadf8\ub7ec\ub2e4 \ucd9c\ub825 \ud14c\uc785\uc758 \ud55c \uc870\uac01\uc744 \ubc1c\uacac\ud588\ub2e4. \uadf8\ub9ac\uace0 \ubaa8\ub4e0 \uc904\uc740 \uc55e\uc5d0\uc11c\ubd80\ud130 C\uac1c\uc758 \uc218\uc640 \ub4a4\uc5d0\uc11c\ubd80\ud130 D\uac1c\uc758 \uc218\uac00 \uc9c0\uc6cc\uc838 \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc900\uaddc\ub294 \uc11e\uae30 \uc804\uc758 \uc218\uc5f4\uc744 1\ubc88\uc9f8 \uc218\uc5f4\uc774\ub77c\uace0 \ud588\uc744\ub54c, A\ubc88\uc9f8 \uc218\uc5f4\uc5d0\uc11c B\ubc88\uc9f8 \uc218\uc5f4\uae4c\uc9c0\uc758 \uc218\uc5f4 \uc911 \ub9e8 \ucc98\uc74c \uc11e\uae30 \uc804\uc758 \uc21c\uc11c\uc640 \uc801\ud78c \ubd80\ubd84\uc774 \ubaa8\ub450 \uc77c\uce58\ud558\ub294 \uc218\uc5f4\uc774 \uba87 \uac1c\uc778\uc9c0 \uad81\uae08\ud574\uc84c\ub2e4.&nbsp;\uc774\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc815\uc218&nbsp;N, A, B, C, D (1 &le; N &le; 500 000, A &le; B &le; 10^12, 0 &le; C, D &le; N, C + D &lt; N)\uac00 \ucc28\ub840\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uc154\ud50c \uc218\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc218\uc5f4\uc5d0\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc758 \uc218\uac00 \ud55c \ubc88\uc529 \ub4f1\uc7a5\ud55c\ub2e4. \ub9cc\uc57d \uc218\uc5f4\uc758 k\ubc88\uc9f8 \uc22b\uc790\uac00 x\ub77c\uba74, \uc774\ub294 \uce74\ub4dc\ub97c \uc11e\uc744 \ub54c k\ubc88\uc9f8 \uc218\ub97c x\ubc88\uc9f8\ub85c \uc62e\uae34\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n","output":"<p>\uc900\uaddc\uac00 \ucc3e\ub294 \uc218\uc5f4\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ub9e8 \ucc98\uc74c \uce74\ub4dc\uc758 \uc21c\uc11c\uac00 1234\uc600\ub2e4\uace0 \ud558\uba74 \uc774 \uc885\uc774\uc5d0\ub294<\/p>\r\n\r\n<ul>\r\n\t<li>1234<\/li>\r\n\t<li>1423<\/li>\r\n\t<li>1342<\/li>\r\n\t<li>1234<\/li>\r\n\t<li>1423<\/li>\r\n<\/ul>\r\n\r\n<p>\uac00 \uc801\ud600 \uc788\uace0, \uc774 \uc911 \uc55e\uc5d0\uc11c\ubd80\ud130 3\uac1c\uc758 \uc218\uac00 123\uc778 \uc904\uc740 \ucd1d \ub450 \uac1c\uc774\ubbc0\ub85c \ub2f5\uc740 2\uc774\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2924","problem_lang":"1","title":"GENIJALAC","description":"<p>Mirko is a genius. But the purpose of his inventions is not always obvious. His latest invention, the Shuffle-o-matic 3175, is one of those. The Shuffle-o-matic is used in a very special way. First Mirko places N paper cards, with numbers 1 to N printed on them, on the Shuffle-o-matic working surface. Then he inputs the shuffle sequence in the special input console and hits the go button. The machine than reads the paper cards and outputs the read sequence of numbers on its output tape. It than shuffles the cards according to the shuffle sequence. After that it reads the newly obtaind sequence and writes it onto a new line on its output tape. Then it procedes to shuffle the cards again acording to the same shuffle sequence, scans and writes the output to the tape. The machine does this until it runs out of tape.<\/p>\r\n\r\n<p>After experimenting with the machine Mirko decided to rest a bit on the floor. There he noticed a piece of output tape. The piece is neatly cut just before the A-th output row nad just after the B-th output row. It is also missing the first C number and the last D numbers in all rows.<\/p>\r\n\r\n<p>He now wonders how many rows on that piece of paper have the property that all numbers in the row, that are still on the paper, are in the exact same spot they were before all the shuffling began.<\/p>\r\n","input":"<p>The first line of input contains integers N, A, B, C and D in that order(1 &le; N &le; 500 000, A &le; B &le; 10^12, 0 &le; C, D &le; N, C + D &lt; N).<\/p>\r\n\r\n<p>The second line contains the shuffle sequence. The sequence is given as a permutation of numbers 1 to N. If the k-th number in the shuffle sequence is x, after each shuffle the k-th element in the resulting sequence is the x-th element in the previous sequence.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","output":"<p>In the first and only line of input print the number of rows that have the property Mirko is looking for.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2009/2010 > Contest #1 5번

  • 문제를 번역한 사람: arine
  • 어색한 표현을 찾은 사람: kks227
  • 빠진 조건을 찾은 사람: zych1751