시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1.5 초 512 MB 95 23 22 70.968%

문제

성렬이는 자기가 사는 집의 벽을 칠한지 한참 되었기 때문에 다시 칠하려고 한다. 벽은 N개의 구간으로 되어 있는데, 0부터 N − 1까지 번호가 매겨져 있다. 이 문제에서, K 가지 다른 색깔이 있고 이 색을 각각 0 이상 K − 1 이하인 정수로 표현하자 (예를 들면, 붉은 색은 0, 파란 색은 1, 등등 같은 식으로) 성렬이는 벽의 i 번째 구간을 색깔 C[i]로 칠하려고 한다.

성렬이는 벽 칠해주는 회사에 이 일을 맡기기로 했는데, 이 회사에는 M 명의 일꾼이 있고 각 일꾼은 0 부터 M − 1 까지 번호가 매겨져 있다. 불행히도, 일꾼들은 자기가 좋아하는 색만 칠하려고 한다. 구체적으로는, j 번 일꾼은 A[j] 개의 색을 좋아하고, 색 B[j][0], 색 B[j][1], …, 색 B[j][A[j] − 1] 중 하나로만 구간을 칠한다.

성렬이는 벽 칠해주는 회사에 여러 번 지령을 보낼 수 있다. 성렬이가 회사에 보내는 지령 하나는 두 파라미터 x와 y로 이루어지는데, 0 ≤ x < M이고 0 ≤ yN − M이다. 모든 0 ≤ l < M에 대해서 회사는 ((x + l) mod M)번 일꾼 에게 (y + l) 번째 구간을 칠하게 시킨다. 만약 어떤 l 값에서 ((x + l) mod M)번 일꾼이 색 C[y + l]을 좋아하지 않는 경우가 있다면, 이 지령은 무효가 된다.

성렬이는 지령 하나를 보낼 때마다 돈을 내야 하기 때문에, 가능하다면 벽의 모든 구간을 원하는 색깔로 칠하는 명령의 최소 횟수, 또는 원하는 색깔로 벽을 칠할 수 없다는 것을 알고 싶다. 동일한 구간을 여러번 칠할 수 있지만, 항상 원하는 색깔로 칠해야 한다.

할 일

다음 minimumInstructions 함수를 구현해야 한다.

  • minimumInstructions(N, M, K, C, A, B) - 이 함수는 그레이더에 의해 정확하게 한 번 호출된다.
    • N: 구간의 수를 나타내는 정수.
    • M: 일꾼의 수를 나타내는 정수.
    • K: 색의 수를 나타내는 정수.
    • C: 길이 N인 정수 배열로 각 구간마다 원하는 색깔을 나타낸다.
    • A: 길이 M인 정수 배열로 각 일꾼이 좋아하는 색의 수을 나타낸다.
    • B: 길이 M인 정수 배열들의 배열로 각 일꾼이 좋아하는 색을 나타낸다.
    • 이 함수의 리턴 값은 성렬이가 모든 구간을 원하는 색으로 칠하기 위해 필요한 지령의 최소 개수이다. 만약 이렇게 칠하는 것이 불가능하다면 -1을 리턴한다.

예제

첫번째 예제에서, N = 8, M = 3, K = 5, C = [3, 3, 1, 3, 4, 4, 2, 2], A = [3, 2, 2], B = [[0, 1, 2], [2, 3], [3, 4]]이다. 성렬이는 다음과 같은 지령을 내릴 수 있다.  

  1. x = 1, y = 0. 1번 일꾼이 0번 구간을 칠할 수 있고, 2번 일꾼이 1번 구간을 칠할 수 있고, 0번 일꾼이 2번 구간을 칠할 수 있으므로 이 지령은 타당하다.  
  2. x = 0, y = 2. 0번 일꾼이 2번 구간을 칠할 수 있고, 1번 일꾼이 3번 구간을 칠할 수 있고, 2번 일꾼이 4번 구간을 칠할 수 있으므로 이 지령은 타당하다.  
  3. x = 2, y = 5. 2번 일꾼이 5번 구간을 칠할 수 있고, 0번 일꾼이 6번 구간을 칠할 수 있고, 1번 일꾼이 7번 구간을 칠할 수 있으므로 이 지령은 타당하다.

성렬이가 3개보다 적은 지령으로 모든 구간을 원하는 색깔로 칠할 수 없다는 것을 쉽게 보일 수 있기 때문에, minimumInstructions(8, 3, 5, [3, 3, 1, 3, 4, 4, 2, 2], [3, 2, 2], [[0, 1, 2], [2, 3], [3, 4]])의 리턴값은 3이어야 한다.

두번째 예제에서, N = 5, M = 4, K = 4, C = [1, 0, 1, 2, 2], A = [2, 1, 1, 1], B = [[0, 1], [1], [2], [3]]이다. 3번 일꾼은 색 3만 좋아하는데 색 3으로 칠할 구간이 없기 때문에, 성렬이가 어떤 지령을 내리더라도 무효가 된다. 따라서, minimumInstructions(5, 4, 4, [1, 0, 1, 2, 2], [2, 1, 1, 1], [[0, 1], [1], [2], [3]])의 리턴값은 -1이어야 한다.

제한

0 ≤ k < K에 대해서, f(k)가 j번 일꾼이 색 k를 좋아하는 j의 개수라고 하자. (즉, 색 k를 좋아하는 일꾼의 수이다.) 예를 들어, 만약 f(1) = 2이라면, 색 1을 좋아하는 일꾼이 둘 있다.

  • 1 ≤ N ≤ 100000.
  • 1 ≤ M ≤ min(N, 50000).
  • 1 ≤ K ≤ 100000.
  • 0 ≤ C[i] < K.
  • 1 ≤ A[j] ≤ K.
  • 0 ≤ B[j][0] < B[j][1] < … < B[j][A[j] − 1] < K.
  • f(k)2 ≤ 400000.

서브태스크 1 (12점)

  • f(k) ≤ 1.

서브태스크 2 (15점)

  • N ≤ 500.
  • M ≤ min(N, 200).
  • f(k)2 ≤ 1000.

서브태스크 3 (13점)

  • N ≤ 500.
  • M ≤ min(N, 200).

서브태스크 4 (23점)

  • N ≤ 20000.
  • M ≤ min(N, 2000).

서브태스크 5 (37점)

  • 추가적인 제약 조건이 없다.
[{"problem_id":"19618","problem_lang":"0","title":"\ubcbd \uce60\ud558\uae30","description":"<p>\uc131\ub82c\uc774\ub294 \uc790\uae30\uac00 \uc0ac\ub294&nbsp;\uc9d1\uc758 \ubcbd\uc744 \uce60\ud55c\uc9c0 \ud55c\ucc38 \ub418\uc5c8\uae30 \ub54c\ubb38\uc5d0 \ub2e4\uc2dc \uce60\ud558\ub824\uace0 \ud55c\ub2e4. \ubcbd\uc740&nbsp;<em>N<\/em>\uac1c\uc758 \uad6c\uac04\uc73c\ub85c \ub418\uc5b4 \uc788\ub294\ub370,&nbsp;0\ubd80\ud130&nbsp;<em>N<\/em>&nbsp;&minus; 1\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c,&nbsp;<em>K<\/em> \uac00\uc9c0 \ub2e4\ub978 \uc0c9\uae54\uc774 \uc788\uace0 \uc774 \uc0c9\uc744 \uac01\uac01&nbsp;0&nbsp;\uc774\uc0c1 <em>K<\/em>&nbsp;&minus; 1&nbsp;\uc774\ud558\uc778 \uc815\uc218\ub85c \ud45c\ud604\ud558\uc790 (\uc608\ub97c \ub4e4\uba74, \ubd89\uc740 \uc0c9\uc740 0, \ud30c\ub780 \uc0c9\uc740 1, \ub4f1\ub4f1 \uac19\uc740 \uc2dd\uc73c\ub85c) \uc131\ub82c\uc774\ub294 \ubcbd\uc758&nbsp;<em>i<\/em> \ubc88\uc9f8 \uad6c\uac04\uc744 \uc0c9\uae54 <em>C<\/em>[<em>i<\/em>]\ub85c \uce60\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc131\ub82c\uc774\ub294 \ubcbd \uce60\ud574\uc8fc\ub294 \ud68c\uc0ac\uc5d0 \uc774 \uc77c\uc744 \ub9e1\uae30\uae30\ub85c \ud588\ub294\ub370, \uc774 \ud68c\uc0ac\uc5d0\ub294&nbsp;<em>M<\/em>&nbsp;\uba85\uc758 \uc77c\uafbc\uc774 \uc788\uace0 \uac01 \uc77c\uafbc\uc740&nbsp;0&nbsp;\ubd80\ud130 <em>M<\/em>&nbsp;&minus; 1&nbsp;\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \ubd88\ud589\ud788\ub3c4, \uc77c\uafbc\ub4e4\uc740 \uc790\uae30\uac00 \uc88b\uc544\ud558\ub294 \uc0c9\ub9cc \uce60\ud558\ub824\uace0 \ud55c\ub2e4. \uad6c\uccb4\uc801\uc73c\ub85c\ub294,&nbsp;<em>j<\/em>&nbsp;\ubc88 \uc77c\uafbc\uc740 <em>A<\/em>[<em>j<\/em>]&nbsp;\uac1c\uc758 \uc0c9\uc744 \uc88b\uc544\ud558\uace0,&nbsp;\uc0c9 <em>B<\/em>[<em>j<\/em>][0], \uc0c9 <em>B<\/em>[<em>j<\/em>][1], &hellip;, \uc0c9 <em>B<\/em>[<em>j<\/em>][<em>A<\/em>[<em>j<\/em>] &minus; 1]&nbsp;\uc911 \ud558\ub098\ub85c\ub9cc \uad6c\uac04\uc744 \uce60\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc131\ub82c\uc774\ub294 \ubcbd \uce60\ud574\uc8fc\ub294 \ud68c\uc0ac\uc5d0 \uc5ec\ub7ec \ubc88 \uc9c0\ub839\uc744 \ubcf4\ub0bc \uc218&nbsp;\uc788\ub2e4. \uc131\ub82c\uc774\uac00 \ud68c\uc0ac\uc5d0 \ubcf4\ub0b4\ub294 \uc9c0\ub839 \ud558\ub098\ub294&nbsp;\ub450 \ud30c\ub77c\ubbf8\ud130 <em>x<\/em>\uc640&nbsp;<em>y<\/em>\ub85c \uc774\ub8e8\uc5b4\uc9c0\ub294\ub370, 0 &le; <em>x<\/em>&nbsp;&lt; <em>M<\/em>\uc774\uace0 0 &le; <em>y<\/em> &le; <em>N<\/em>&nbsp;&minus;&nbsp;<em>M<\/em>\uc774\ub2e4. \ubaa8\ub4e0 0 &le; <em>l<\/em> &lt; <em>M<\/em>\uc5d0 \ub300\ud574\uc11c \ud68c\uc0ac\ub294&nbsp;((<em>x<\/em>&nbsp;+&nbsp;<em>l<\/em>) mod <em>M<\/em>)\ubc88 \uc77c\uafbc \uc5d0\uac8c&nbsp;(<em>y<\/em>&nbsp;+&nbsp;<em>l<\/em>) \ubc88\uc9f8 \uad6c\uac04\uc744 \uce60\ud558\uac8c \uc2dc\ud0a8\ub2e4. \ub9cc\uc57d \uc5b4\ub5a4 <em>l<\/em>&nbsp;\uac12\uc5d0\uc11c ((<em>x<\/em> + <em>l<\/em>) mod <em>M<\/em>)\ubc88 \uc77c\uafbc\uc774 \uc0c9 <em>C<\/em>[<em>y<\/em> + <em>l<\/em>]\uc744 \uc88b\uc544\ud558\uc9c0 \uc54a\ub294 \uacbd\uc6b0\uac00&nbsp;\uc788\ub2e4\uba74, \uc774 \uc9c0\ub839\uc740 \ubb34\ud6a8\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc131\ub82c\uc774\ub294 \uc9c0\ub839 \ud558\ub098\ub97c \ubcf4\ub0bc \ub54c\ub9c8\ub2e4 \ub3c8\uc744 \ub0b4\uc57c \ud558\uae30 \ub54c\ubb38\uc5d0, \uac00\ub2a5\ud558\ub2e4\uba74 \ubcbd\uc758 \ubaa8\ub4e0 \uad6c\uac04\uc744 \uc6d0\ud558\ub294 \uc0c9\uae54\ub85c \uce60\ud558\ub294 \uba85\ub839\uc758 \ucd5c\uc18c \ud69f\uc218, \ub610\ub294 \uc6d0\ud558\ub294 \uc0c9\uae54\ub85c \ubcbd\uc744 \uce60\ud560 \uc218 \uc5c6\ub2e4\ub294 \uac83\uc744 \uc54c\uace0 \uc2f6\ub2e4. \ub3d9\uc77c\ud55c \uad6c\uac04\uc744 \uc5ec\ub7ec\ubc88 \uce60\ud560 \uc218 \uc788\uc9c0\ub9cc, \ud56d\uc0c1 \uc6d0\ud558\ub294 \uc0c9\uae54\ub85c \uce60\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n","input":"","output":"","hint":"","original":"1","problem_lang_code":"\ud55c\uad6d\uc5b4","limit":"<p>0 &le; <em>k<\/em> &lt; <em>K<\/em>\uc5d0 \ub300\ud574\uc11c, <em>f<\/em>(<em>k<\/em>)\uac00&nbsp;<em>j<\/em>\ubc88 \uc77c\uafbc\uc774 \uc0c9&nbsp;<em>k<\/em>\ub97c \uc88b\uc544\ud558\ub294&nbsp;<em>j<\/em>\uc758 \uac1c\uc218\ub77c\uace0 \ud558\uc790. (\uc989, \uc0c9&nbsp;<em>k<\/em>\ub97c \uc88b\uc544\ud558\ub294 \uc77c\uafbc\uc758 \uc218\uc774\ub2e4.)&nbsp;\uc608\ub97c \ub4e4\uc5b4, \ub9cc\uc57d&nbsp;<em>f<\/em>(1) = 2\uc774\ub77c\uba74, \uc0c9&nbsp;1\uc744 \uc88b\uc544\ud558\ub294 \uc77c\uafbc\uc774 \ub458 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>1 &le; <em>N<\/em> &le; 100000.<\/li>\r\n\t<li>1 &le; <em>M<\/em> &le; min(<em>N<\/em>, 50000).<\/li>\r\n\t<li>1 &le; <em>K<\/em> &le; 100000.<\/li>\r\n\t<li>0 &le; <em>C<\/em>[<em>i<\/em>] &lt; <em>K<\/em>.<\/li>\r\n\t<li>1 &le; <em>A<\/em>[<em>j<\/em>] &le; <em>K<\/em>.<\/li>\r\n\t<li>0 &le; <em>B<\/em>[<em>j<\/em>][0] &lt; <em>B<\/em>[<em>j<\/em>][1] &lt; &hellip; &lt; <em>B<\/em>[<em>j<\/em>][<em>A<\/em>[<em>j<\/em>] &minus; 1] &lt; K.<\/li>\r\n\t<li>&sum;<em>f<\/em>(<em>k<\/em>)<sup>2<\/sup>&nbsp;&le; 400000.<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li><em>f<\/em>(<em>k<\/em>) &le; 1.<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li><em>N<\/em> &le; 500.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 200).<\/li>\r\n\t<li>&sum;<em>f<\/em>(<em>k<\/em>)<sup>2<\/sup> &le; 1000.<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li><em>N<\/em> &le; 500.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 200).<\/li>\r\n<\/ul>\r\n","subtask4":"<ul>\r\n\t<li><em>N<\/em> &le; 20000.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 2000).<\/li>\r\n<\/ul>\r\n","subtask5":"<ul>\r\n\t<li>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n","custom_function":"<p>\ub2e4\uc74c&nbsp;<code>minimumInstructions<\/code>&nbsp;\ud568\uc218\ub97c \uad6c\ud604\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><code>minimumInstructions(N, M, K, C, A, B)<\/code> - \uc774 \ud568\uc218\ub294 \uadf8\ub808\uc774\ub354\uc5d0 \uc758\ud574 \uc815\ud655\ud558\uac8c \ud55c \ubc88 \ud638\ucd9c\ub41c\ub2e4.\r\n\r\n\t<ul>\r\n\t\t<li><em>N<\/em>: \uad6c\uac04\uc758 \uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218.<\/li>\r\n\t\t<li><em>M<\/em>: \uc77c\uafbc\uc758 \uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218.<\/li>\r\n\t\t<li><em>K<\/em>: \uc0c9\uc758 \uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218.<\/li>\r\n\t\t<li><em>C<\/em>: \uae38\uc774&nbsp;<em>N<\/em>\uc778 \uc815\uc218 \ubc30\uc5f4\ub85c \uac01 \uad6c\uac04\ub9c8\ub2e4 \uc6d0\ud558\ub294 \uc0c9\uae54\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/li>\r\n\t\t<li><em>A<\/em>: \uae38\uc774&nbsp;<em>M<\/em>\uc778 \uc815\uc218 \ubc30\uc5f4\ub85c \uac01 \uc77c\uafbc\uc774 \uc88b\uc544\ud558\ub294 \uc0c9\uc758 \uc218\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/li>\r\n\t\t<li><em>B<\/em>: \uae38\uc774&nbsp;<em>M<\/em>\uc778 \uc815\uc218 \ubc30\uc5f4\ub4e4\uc758 \ubc30\uc5f4\ub85c \uac01 \uc77c\uafbc\uc774 \uc88b\uc544\ud558\ub294 \uc0c9\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\uc758 \ub9ac\ud134 \uac12\uc740 \uc131\ub82c\uc774\uac00 \ubaa8\ub4e0 \uad6c\uac04\uc744 \uc6d0\ud558\ub294 \uc0c9\uc73c\ub85c \uce60\ud558\uae30 \uc704\ud574 \ud544\uc694\ud55c \uc9c0\ub839\uc758 \ucd5c\uc18c \uac1c\uc218\uc774\ub2e4. \ub9cc\uc57d \uc774\ub807\uac8c \uce60\ud558\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74&nbsp;-1\uc744 \ub9ac\ud134\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","custom_example":"<p>\uccab\ubc88\uc9f8 \uc608\uc81c\uc5d0\uc11c,&nbsp;<em>N<\/em> = 8,&nbsp;<em>M<\/em> = 3,&nbsp;<em>K<\/em> = 5,&nbsp;<em>C<\/em> = [3, 3, 1, 3, 4, 4, 2, 2],&nbsp;<em>A<\/em> = [3, 2, 2],&nbsp;<em>B<\/em> = [[0, 1, 2], [2, 3], [3, 4]]\uc774\ub2e4. \uc131\ub82c\uc774\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc9c0\ub839\uc744 \ub0b4\ub9b4 \uc218 \uc788\ub2e4.&nbsp;&nbsp;<\/p>\r\n\r\n<ol>\r\n\t<li><em>x<\/em> = 1,&nbsp;<em>y<\/em> = 0. 1\ubc88 \uc77c\uafbc\uc774 0\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 2\ubc88 \uc77c\uafbc\uc774 1\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 0\ubc88 \uc77c\uafbc\uc774 2\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uc73c\ubbc0\ub85c \uc774 \uc9c0\ub839\uc740 \ud0c0\ub2f9\ud558\ub2e4.&nbsp;&nbsp;<\/li>\r\n\t<li><em>x<\/em> = 0,&nbsp;<em>y<\/em> = 2. 0\ubc88 \uc77c\uafbc\uc774 2\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 1\ubc88 \uc77c\uafbc\uc774 3\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 2\ubc88 \uc77c\uafbc\uc774 4\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uc73c\ubbc0\ub85c \uc774 \uc9c0\ub839\uc740 \ud0c0\ub2f9\ud558\ub2e4.&nbsp;&nbsp;<\/li>\r\n\t<li><em>x<\/em> = 2,&nbsp;<em>y<\/em> = 5. 2\ubc88 \uc77c\uafbc\uc774 5\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 0\ubc88 \uc77c\uafbc\uc774 6\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uace0, 1\ubc88 \uc77c\uafbc\uc774 7\ubc88 \uad6c\uac04\uc744 \uce60\ud560 \uc218 \uc788\uc73c\ubbc0\ub85c \uc774 \uc9c0\ub839\uc740 \ud0c0\ub2f9\ud558\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uc131\ub82c\uc774\uac00&nbsp;3\uac1c\ubcf4\ub2e4 \uc801\uc740 \uc9c0\ub839\uc73c\ub85c \ubaa8\ub4e0 \uad6c\uac04\uc744 \uc6d0\ud558\ub294 \uc0c9\uae54\ub85c \uce60\ud560 \uc218 \uc5c6\ub2e4\ub294 \uac83\uc744 \uc27d\uac8c \ubcf4\uc77c \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, <code>minimumInstructions(8, 3, 5, [3, 3, 1, 3, 4, 4, 2, 2], [3, 2, 2], [[0, 1, 2], [2, 3], [3, 4]])<\/code>\uc758 \ub9ac\ud134\uac12\uc740 3\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub450\ubc88\uc9f8 \uc608\uc81c\uc5d0\uc11c,&nbsp;<em>N<\/em> = 5,&nbsp;<em>M<\/em> = 4,&nbsp;<em>K<\/em> = 4,&nbsp;<em>C<\/em> = [1, 0, 1, 2, 2],&nbsp;<em>A<\/em> = [2, 1, 1, 1],&nbsp;<em>B<\/em> = [[0, 1], [1], [2], [3]]\uc774\ub2e4. 3\ubc88 \uc77c\uafbc\uc740 \uc0c9&nbsp;3\ub9cc \uc88b\uc544\ud558\ub294\ub370 \uc0c9&nbsp;3\uc73c\ub85c \uce60\ud560 \uad6c\uac04\uc774 \uc5c6\uae30 \ub54c\ubb38\uc5d0, \uc131\ub82c\uc774\uac00 \uc5b4\ub5a4 \uc9c0\ub839\uc744 \ub0b4\ub9ac\ub354\ub77c\ub3c4 \ubb34\ud6a8\uac00 \ub41c\ub2e4. \ub530\ub77c\uc11c,&nbsp;<code>minimumInstructions(5, 4, 4, [1, 0, 1, 2, 2], [2, 1, 1, 1], [[0, 1], [1], [2], [3]])<\/code>\uc758 \ub9ac\ud134\uac12\uc740 -1\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n","custom_grader":"<p>\uc0d8\ud50c \uadf8\ub808\uc774\ub354\ub294 \uc785\ub825\uc744 \ub2e4\uc74c \uc591\uc2dd\uc73c\ub85c \uc77d\ub294\ub2e4.<\/p>\r\n\r\n<pre>\r\nN M K\r\nC[0] C[1] ... C[N-1]\r\nA[0] B[0][0] B[0][1] ... B[0][A[0]-1]\r\nA[1] B[1][0] B[1][1] ... B[1][A[1]-1]\r\n.\r\n.\r\n.\r\nA[M-1] B[M-1][0] B[M-1][1] ... B[M-1][A[M-1]-1]\r\n<\/pre>\r\n\r\n<p>\uc0d8\ud50c \uadf8\ub808\uc774\ub354\ub294&nbsp;<code>minimumInstructions<\/code>&nbsp;\ud568\uc218\uc758 \ub9ac\ud134\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","custom_attachment":"<p>\uacf5\uac1c\ub41c \uadf8\ub808\uc774\ub354, \uc608\uc81c \ucf00\uc774\uc2a4, \ubb38\uc81c\uc5d0 \ub300\ud55c \uae30\ubcf8 \ud30c\uc77c\uc740&nbsp;<a href=\"https:\/\/upload.acmicpc.net\/b6f77231-9127-4317-a880-f209a77bc15a\/\">\uc5ec\uae30<\/a>\uc5d0\uc11c \ubc1b\uc744 \uc218 \uc788\ub2e4.&nbsp;<\/p>\r\n"},{"problem_id":"19618","problem_lang":"1","title":"Painting Walls","description":"<p>It has been a while since the last time Pak Dengklek painted the wall on his house, so he wants to repaint it. The wall consists of&nbsp;<em>N<\/em>&nbsp;segments, numbered from&nbsp;0&nbsp;to <em>N<\/em>&nbsp;&minus; 1. For this problem, we assume that there are&nbsp;<em>K<\/em>&nbsp;different colours, represented by an integer from 0&nbsp;to <em>K<\/em> &minus; 1&nbsp;(e.g., red is represented by&nbsp;0, blue is represented by&nbsp;1, and so on). Pak Dengklek wants to paint the&nbsp;<em>i<\/em>-th segment of his wall using the colour <em>C<\/em>[<em>i<\/em>].<\/p>\r\n\r\n<p>To paint the wall, Pak Dengklek hires a contractor company with&nbsp;<em>M<\/em> contractors, numbered from&nbsp;0&nbsp;to&nbsp;<em>M<\/em> - 1. Unfortunately for Pak Dengklek, contractors are only willing to paint the colours that they like. Specifically, the&nbsp;<em>j<\/em>-th contractor only likes&nbsp;<em>A<\/em>[<em>j<\/em>]&nbsp;colours and only wants to paint a segment to be coloured with either of the following colour: colour <em>B<\/em>[<em>j<\/em>][0], colour <em>B[j<\/em>][1], &hellip;, or colour&nbsp;<em>B<\/em>[j][<em>A<\/em>[<em>j<\/em>] - 1].<\/p>\r\n\r\n<p>Pak Dengklek can give several instructions to the contractor company. In a single instruction, Pak Dengklek will give two parameters <em>x<\/em>&nbsp;and&nbsp;<em>y<\/em>, where&nbsp;0 &le; <em>x<\/em>&nbsp;&lt; <em>M<\/em>&nbsp;and&nbsp;0 &le; <em>y<\/em> &le; <em>N<\/em>&nbsp;&minus;&nbsp;<em>M<\/em>. The contractor company will instruct the ((<em>x<\/em>&nbsp;+&nbsp;<em>l<\/em>) mod <em>M<\/em>)-th contractor to paint the (<em>y<\/em>&nbsp;+&nbsp;<em>l<\/em>)-th segment, for&nbsp;0 &le; <em>l<\/em> &lt; <em>M<\/em>. If there exists a value of&nbsp;<em>l<\/em> such that the ((<em>x<\/em> + <em>l<\/em>) mod <em>M<\/em>)-th does not like colour&nbsp;<em>C<\/em>[<em>y<\/em> + <em>l<\/em>], then the instruction is invalid.<\/p>\r\n\r\n<p>Pak Dengklek has to pay for each instruction he gives, thus he would like to know the minimum number of instructions he has to give to paint all segments with their intended colour or identify if it is impossible to do so. The same segment can be painted multiple times, but it must always be painted with its intended colour.<\/p>\r\n","input":"","output":"","hint":"","original":"0","problem_lang_code":"\uc601\uc5b4","limit":"<p>For&nbsp;0 &le; <em>k<\/em> &lt; <em>K<\/em>, let&nbsp;<em>f<\/em>(<em>k<\/em>) be the number of&nbsp;<em>j<\/em>&nbsp;such that the <em>j<\/em>-th contractor likes colour&nbsp;<em>k<\/em>. For example, if&nbsp;<em>f<\/em>(1) = 2, then there are two contractors who like the colour&nbsp;1.<\/p>\r\n\r\n<ul>\r\n\t<li>1 &le; <em>N<\/em> &le; 100000.<\/li>\r\n\t<li>1 &le; <em>M<\/em> &le; min(<em>N<\/em>, 50000).<\/li>\r\n\t<li>1 &le; <em>K<\/em> &le; 100000.<\/li>\r\n\t<li>0 &le; <em>C<\/em>[<em>i<\/em>] &lt; <em>K<\/em>.<\/li>\r\n\t<li>1 &le; <em>A<\/em>[<em>j<\/em>] &le; <em>K<\/em>.<\/li>\r\n\t<li>0 &le; <em>B<\/em>[<em>j<\/em>][0] &lt; <em>B<\/em>[<em>j<\/em>][1] &lt; &hellip; &lt; <em>B<\/em>[<em>j<\/em>][<em>A<\/em>[<em>j<\/em>] &minus; 1] &lt; K.<\/li>\r\n\t<li>Sum of <em>f<\/em>(<em>k<\/em>)<sup>2<\/sup>&nbsp;&le; 400000.<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li><em>f<\/em>(<em>k<\/em>) &le; 1.<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li><em>N<\/em> &le; 500.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 200).<\/li>\r\n\t<li>Sum of <em>f<\/em>(<em>k<\/em>)<sup>2<\/sup> &le; 1000.<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li><em>N<\/em> &le; 500.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 200).<\/li>\r\n<\/ul>\r\n","subtask4":"<ul>\r\n\t<li><em>N<\/em> &le; 20000.<\/li>\r\n\t<li><em>M<\/em> &le; min(<em>N<\/em>, 2000).<\/li>\r\n<\/ul>\r\n","subtask5":"<ul>\r\n\t<li>No additional constraints.<\/li>\r\n<\/ul>\r\n","custom_function":"<p>You have to implement&nbsp;<code>minimumInstructions<\/code>&nbsp;function:<\/p>\r\n\r\n<ul>\r\n\t<li><code>minimumInstructions(N, M, K, C, A, B)<\/code>&nbsp;- This function will be called by the grader exactly once.\r\n\r\n\t<ul>\r\n\t\t<li><em>N<\/em>: An integer representing the number of segments.<\/li>\r\n\t\t<li><em>M<\/em>: An integer representing the number of contractors.<\/li>\r\n\t\t<li><em>K<\/em>: An integer representing the number of colours.<\/li>\r\n\t\t<li><em>C<\/em>: An array of&nbsp;<em>N<\/em> integers representing the intended colour of the segments.<\/li>\r\n\t\t<li><em>A<\/em>: An array of <em>M<\/em>&nbsp;integers representing the number of colours that the contractors like.<\/li>\r\n\t\t<li><em>B<\/em>: An array of <em>M<\/em>&nbsp;array of integers representing the colours that the contractors like.<\/li>\r\n\t\t<li>This function must return an integer representing the minimum number of instructions Pak Dengklek has to give to paint all segments with their intended colour, or&nbsp;-1&nbsp;if it is impossible to do so.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","custom_example":"<p>In the first example,&nbsp;<em>N<\/em> = 8,&nbsp;<em>M<\/em> = 3,&nbsp;<em>K<\/em> = 5,&nbsp;<em>C<\/em> = [3, 3, 1, 3, 4, 4, 2, 2],&nbsp;<em>A<\/em> = [3, 2, 2],&nbsp;<em>B<\/em> = [[0, 1, 2], [2, 3], [3, 4]]. Pak Dengklek can give the following instructions:<\/p>\r\n\r\n<ol>\r\n\t<li><em>x<\/em> = 1,&nbsp;<em>y<\/em> = 0. This is a valid instruction since the first contractor can paint the zeroth segment, the second contractor can paint the first segment, and the zeroth contractor can paint the second segment.<\/li>\r\n\t<li><em>x<\/em> = 0,&nbsp;<em>y<\/em> = 2. This is a valid instruction since the zeroth contractor can paint the second segment, the first contractor can paint the third segment, and the second contractor can paint the fourth segment.<\/li>\r\n\t<li><em>x<\/em> = 2,&nbsp;<em>y<\/em> = 5. This is a valid instruction since the second contractor can paint the fifth segment, the zeroth contractor can paint the sixth segment, and the first contractor can paint the seventh segment.<\/li>\r\n<\/ol>\r\n\r\n<p>It is easy to see that Pak Dengklek cannot give less than&nbsp;3&nbsp;instructions to paint all segments with their intended colour, thus&nbsp;<code>minimumInstructions(8, 3, 5, [3, 3, 1, 3, 4, 4, 2, 2], [3, 2, 2], [[0, 1, 2], [2, 3], [3, 4]])<\/code>&nbsp;should return&nbsp;3.<\/p>\r\n\r\n<p>In the second example, <em>N<\/em> = 5,&nbsp;<em>M<\/em> = 4,&nbsp;<em>K<\/em> = 4,&nbsp;<em>C<\/em> = [1, 0, 1, 2, 2],&nbsp;<em>A<\/em> = [2, 1, 1, 1],&nbsp;<em>B<\/em> = [[0, 1], [1], [2], [3]]. Since the third contractor only like colour&nbsp;3&nbsp;and none of the segment is to be painted with colour&nbsp;3, it is impossible for Pak Dengklek to give any valid instruction. Therefore,&nbsp;<code>minimumInstructions(5, 4, 4, [1, 0, 1, 2, 2], [2, 1, 1, 1], [[0, 1], [1], [2], [3]])<\/code>&nbsp;should return&nbsp;-1.<\/p>\r\n","custom_grader":"<p>The sample grader reads the input in the following format:<\/p>\r\n\r\n<pre>\r\nN M K\r\nC[0] C[1] ... C[N-1]\r\nA[0] B[0][0] B[0][1] ... B[0][A[0]-1]\r\nA[1] B[1][0] B[1][1] ... B[1][A[1]-1]\r\n.\r\n.\r\n.\r\nA[M-1] B[M-1][0] B[M-1][1] ... B[M-1][A[M-1]-1]\r\n<\/pre>\r\n\r\n<p>The sample grader prints the value returned by the&nbsp;<code>minimumInstructions<\/code>&nbsp;function.<\/p>\r\n","custom_attachment":"<p>The public grader, sample cases, and skeleton files for this problem is available&nbsp;<a href=\"https:\/\/upload.acmicpc.net\/b6f77231-9127-4317-a880-f209a77bc15a\/\">here<\/a>.<\/p>\r\n"}]

샘플 그레이더

샘플 그레이더는 입력을 다음 양식으로 읽는다.

N M K
C[0] C[1] ... C[N-1]
A[0] B[0][0] B[0][1] ... B[0][A[0]-1]
A[1] B[1][0] B[1][1] ... B[1][A[1]-1]
.
.
.
A[M-1] B[M-1][0] B[M-1][1] ... B[M-1][A[M-1]-1]

샘플 그레이더는 minimumInstructions 함수의 리턴값을 출력한다.

첨부

공개된 그레이더, 예제 케이스, 문제에 대한 기본 파일은 여기에서 받을 수 있다. 

제출할 수 있는 언어

C++14, Java, C++17, Java (OpenJDK), Java 11, C++2a, C++14 (Clang), C++17 (Clang), C++2a (Clang)

채점

  • 예제는 채점하지 않는다.