시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
10 초 512 MB 84 25 21 36.842%

문제

역사학자인 JOI 교수는 이전에 존재했던 IOI 왕국에 대해 연구하고 있다.

과거의 조사에 따르면, IOI 왕국은 세로 H 크기에 가로 W 크기이며, IOI 왕국의 수도는 방어를 위해 성벽으로 둘러싸여 있었다.

IOI 왕국의 수도를 둘러싸는 성벽은 다음과 같은 형태를 하고 있다:

  • 성벽의 크기 s(s ≥ 3)가 있다.
  • 크기 s의 성벽은 s × s의 정사각형 영역에서 안의 (s-2) × (s-2) 정사각형 영역을 제외한 테두리 모양을 하고 있다.

또 다른 조사에 의하면, 수도를 둘러싼 성벽의 크기는 L 이상이었다. 그리고 어떤 칸들에는 오래된 나무가 있는데, 나무가 있는 위치에는 성벽이 존재하지 않았음을 알고 있다.

JOI 교수는 이러한 사실들을 바탕으로 있을 수 있는 성벽의 가지 수를 알고 싶어한다. 이때, 성벽의 크기가 같더라도 위치가 다르면 서로 다른 성벽으로 간주한다.

IOI 왕국의 크기와, 성벽의 최소 크기, 그리고 나무의 위치들이 주어졌을 때 가능한 성벽의 가지 수를 구하는 프로그램을 작성하시오.

입력

입력의 첫 줄에는 정수 H, W, L, P가 공백으로 구분되어 주어진다. 이는 IOI 왕국의 크기가 세로 H, 가로 W이며 성벽의 최소 크기는 L, 나무의 개수가 P라는 뜻이다.

다음 P 개의 줄에 나무의 위치가 Ai, Bi가 공백으로 구분되어 주어진다. 이는 나무가 Ai번째 줄, Bi번째 칸에 있음을 의미한다.

그리고 다음 제약 사항을 만족한다:

  • 1 ≦ H, W ≦ 4 000
  • 3 ≦ L ≦ min(H, W)
  • 0 ≦ P ≦ 100 000
  • 1 ≦ Ai ≦ H (1 ≦ i ≦ P)
  • 1 ≦ Bi ≦ W (1 ≦i ≦ P)
  • (Ai, Bi) ≠ (Aj, Bj) (1 ≦ i < j ≦ P)

출력

첫 줄에 가능한 성벽의 가지 수를 출력한다.

예제 입력 1

5 5 3 2
2 2
4 3

예제 출력 1

4

예제 입력 2

7 8 4 3
2 2
3 7
6 5

예제 출력 2

13

예제 입력 3

4000 4000 1234 4
1161 3028
596 1892
3731 2606
702 1530

예제 출력 3

7050792912

힌트

1번 예제에서 가능한 성벽은 아래 4가지이다. 나무는 x로 표시되어있다.

[{"problem_id":"10717","problem_lang":"0","title":"\uc131\ubcbd","description":"<p>\uc5ed\uc0ac\ud559\uc790\uc778 JOI \uad50\uc218\ub294 \uc774\uc804\uc5d0 \uc874\uc7ac\ud588\ub358 IOI \uc655\uad6d\uc5d0 \ub300\ud574 \uc5f0\uad6c\ud558\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uacfc\uac70\uc758 \uc870\uc0ac\uc5d0 \ub530\ub974\uba74, IOI \uc655\uad6d\uc740 \uc138\ub85c H \ud06c\uae30\uc5d0 \uac00\ub85c W \ud06c\uae30\uc774\uba70, IOI \uc655\uad6d\uc758 \uc218\ub3c4\ub294 \ubc29\uc5b4\ub97c \uc704\ud574 \uc131\ubcbd\uc73c\ub85c \ub458\ub7ec\uc2f8\uc5ec \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p>IOI \uc655\uad6d\uc758 \uc218\ub3c4\ub97c \ub458\ub7ec\uc2f8\ub294 \uc131\ubcbd\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\ud0dc\ub97c \ud558\uace0 \uc788\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>\uc131\ubcbd\uc758 \ud06c\uae30 s(s &ge; 3)\uac00 \uc788\ub2e4.<\/li>\r\n\t<li>\ud06c\uae30 s\uc758 \uc131\ubcbd\uc740 s &times; s\uc758 \uc815\uc0ac\uac01\ud615 \uc601\uc5ed\uc5d0\uc11c \uc548\uc758 (s-2) &times; (s-2) \uc815\uc0ac\uac01\ud615 \uc601\uc5ed\uc744 \uc81c\uc678\ud55c \ud14c\ub450\ub9ac \ubaa8\uc591\uc744 \ud558\uace0 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub610 \ub2e4\ub978 \uc870\uc0ac\uc5d0 \uc758\ud558\uba74, \uc218\ub3c4\ub97c \ub458\ub7ec\uc2fc \uc131\ubcbd\uc758 \ud06c\uae30\ub294 L \uc774\uc0c1\uc774\uc5c8\ub2e4. \uadf8\ub9ac\uace0 \uc5b4\ub5a4 \uce78\ub4e4\uc5d0\ub294 \uc624\ub798\ub41c \ub098\ubb34\uac00 \uc788\ub294\ub370, \ub098\ubb34\uac00 \uc788\ub294 \uc704\uce58\uc5d0\ub294 \uc131\ubcbd\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc558\uc74c\uc744 \uc54c\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>JOI \uad50\uc218\ub294 \uc774\ub7ec\ud55c \uc0ac\uc2e4\ub4e4\uc744 \ubc14\ud0d5\uc73c\ub85c \uc788\uc744 \uc218 \uc788\ub294 \uc131\ubcbd\uc758 \uac00\uc9c0 \uc218\ub97c \uc54c\uace0 \uc2f6\uc5b4\ud55c\ub2e4. \uc774\ub54c, \uc131\ubcbd\uc758 \ud06c\uae30\uac00 \uac19\ub354\ub77c\ub3c4 \uc704\uce58\uac00 \ub2e4\ub974\uba74 \uc11c\ub85c \ub2e4\ub978 \uc131\ubcbd\uc73c\ub85c \uac04\uc8fc\ud55c\ub2e4.<\/p>\r\n\r\n<p>IOI \uc655\uad6d\uc758 \ud06c\uae30\uc640, \uc131\ubcbd\uc758 \ucd5c\uc18c \ud06c\uae30, \uadf8\ub9ac\uace0 \ub098\ubb34\uc758 \uc704\uce58\ub4e4\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c \uac00\ub2a5\ud55c \uc131\ubcbd\uc758 \uac00\uc9c0 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \uc904\uc5d0\ub294 \uc815\uc218 H, W, L, P\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 IOI \uc655\uad6d\uc758 \ud06c\uae30\uac00 \uc138\ub85c H, \uac00\ub85c W\uc774\uba70 \uc131\ubcbd\uc758 \ucd5c\uc18c \ud06c\uae30\ub294 L, \ub098\ubb34\uc758 \uac1c\uc218\uac00 P\ub77c\ub294 \ub73b\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c P \uac1c\uc758 \uc904\uc5d0 \ub098\ubb34\uc758 \uc704\uce58\uac00 A<sub>i<\/sub>, B<sub>i<\/sub>\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 \ub098\ubb34\uac00 A<sub>i<\/sub>\ubc88\uc9f8 \uc904, B<sub>i<\/sub>\ubc88\uc9f8 \uce78\uc5d0 \uc788\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub9ac\uace0 \ub2e4\uc74c \uc81c\uc57d \uc0ac\ud56d\uc744 \ub9cc\uc871\ud55c\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u2266 H, W \u2266 4 000<\/li>\r\n\t<li>3 \u2266 L \u2266 min(H, W)<\/li>\r\n\t<li>0 \u2266 P \u2266 100 000<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub> \u2266 H (1 \u2266 i \u2266 P)<\/li>\r\n\t<li>1 \u2266 B<sub>i<\/sub> \u2266 W (1 \u2266i \u2266 P)<\/li>\r\n\t<li>(A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (A<sub>j<\/sub>, B<sub>j<\/sub>) (1 \u2266 i &lt; j \u2266 P)<\/li>\r\n<\/ul>\r\n","output":"<p>\uccab \uc904\uc5d0 \uac00\ub2a5\ud55c \uc131\ubcbd\uc758 \uac00\uc9c0 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>1\ubc88 \uc608\uc81c\uc5d0\uc11c \uac00\ub2a5\ud55c \uc131\ubcbd\uc740 \uc544\ub798 4\uac00\uc9c0\uc774\ub2e4. \ub098\ubb34\ub294 x\ub85c \ud45c\uc2dc\ub418\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images3\/ran.png\" style=\"height:373px; width:378px\" \/><\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10717","problem_lang":"2","title":"\u57ce\u58c1","description":"<p>\u6b74\u53f2\u5b66\u8005\u3067\u3042\u308b JOI \u6559\u6388\u306f\uff0c\u304b\u3064\u3066\u5b58\u5728\u3057\u305f IOI \u738b\u56fd\u306b\u3064\u3044\u3066\u7814\u7a76\u3057\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>\u904e\u53bb\u306e\u8abf\u67fb\u306b\u3088\u308b\u3068\uff0cIOI \u738b\u56fd\u306f\u7e26 H \u884c\uff0c\u6a2a W \u5217\u306e\u30de\u30b9\u306b\u533a\u5207\u3089\u308c\u305f\u9577\u65b9\u5f62\u306e\u5f62\u3092\u3057\u3066\u3044\u305f\uff0eIOI \u738b\u56fd\u306e\u9996\u90fd\u306f\uff0c\u9632\u885b\u306e\u305f\u3081\u306b\u57ce\u58c1\u3067\u56f2\u308f\u308c\u3066\u3044\u305f\uff0e<\/p>\r\n\r\n<p>IOI \u738b\u56fd\u306e\u9996\u90fd\u3092\u56f2\u3046\u57ce\u58c1\u306f\u6b21\u306e\u3088\u3046\u306a\u5f62\u3092\u3057\u3066\u3044\u308b\uff0e\u57ce\u58c1\u306b\u306f\u5927\u304d\u3055\u3068\u547c\u3070\u308c\u308b\u5024\u304c\u5b9a\u307e\u3063\u3066\u3044\u308b\uff0e\u5927\u304d\u3055 s (s \u2267 3) \u306e\u57ce\u58c1\u3068\u306f\uff0cs &times; s \u306e\u6b63\u65b9\u5f62\u306e\u9818\u57df\u304b\u3089\u5916\u5468\u4ee5\u5916\u306e (s &minus; 2) &times; (s &minus; 2) \u306e\u6b63\u65b9\u5f62\u306e\u9818\u57df\u3092\u9664\u3044\u305f\u3082\u306e\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u8abf\u67fb\u306b\u3088\u308b\u3068\uff0c\u9996\u90fd\u3092\u56f2\u3046\u57ce\u58c1\u306e\u5927\u304d\u3055\u306f L \u4ee5\u4e0a\u3067\u3042\u3063\u305f\uff0e\u307e\u305f\uff0cIOI \u738b\u56fd\u306e\u3044\u304f\u3064\u304b\u306e\u30de\u30b9\u306b\u306f\u57ce\u58c1\u304c\u5b58\u5728\u3057\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>JOI \u6559\u6388\u306f\uff0c\u3055\u3089\u306a\u308b\u7814\u7a76\u306e\u305f\u3081\u306b\uff0c\u57ce\u58c1\u3068\u3057\u3066\u3042\u308a\u3046\u308b\u3082\u306e\u304c\u4f55\u901a\u308a\u3042\u308b\u304b\u3092\u77e5\u308a\u305f\u3044\uff0e<\/p>\r\n\r\n<p>IOI \u738b\u56fd\u306e\u5927\u304d\u3055\u3068\uff0c\u57ce\u58c1\u306e\u5927\u304d\u3055\u306e\u6700\u5c0f\u5024\uff0c\u57ce\u58c1\u304c\u5b58\u5728\u3057\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u30de\u30b9\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u57ce\u58c1\u3068\u3057\u3066\u3042\u308a\u3046\u308b\u3082\u306e\u306f\u4f55\u901a\u308a\u3042\u308b\u304b\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u30c7\u30fc\u30bf\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f\uff0c\u6574\u6570 H, W, L, P \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0cIOI \u738b\u56fd\u306f\u7e26 H \u884c\uff0c\u6a2a W\u5217\u306e\u30de\u30b9\u306b\u533a\u5207\u3089\u308c\u305f\u9577\u65b9\u5f62\u306e\u5f62\u3092\u3057\u3066\u304a\u308a\uff0c\u57ce\u58c1\u306e\u5927\u304d\u3055\u306f L \u4ee5\u4e0a\u3067\u3042\u308a\uff0c\u57ce\u58c1\u304c\u5b58\u5728\u3057\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u30de\u30b9\u304c P \u30de\u30b9\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>\u7d9a\u304f P \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 P) \u306b\u306f\uff0c\u6574\u6570 A<sub>i<\/sub>, B<sub>i<\/sub> \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0cIOI \u738b\u56fd\u306e\u4e0a\u304b\u3089 A<sub>i<\/sub> \u884c\u76ee\uff0c\u5de6\u304b\u3089 B<sub>i<\/sub> \u5217\u76ee\u306e\u30de\u30b9\u306b\u306f\u57ce\u58c1\u304c\u5b58\u5728\u3057\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u3059\u3079\u3066\u306e\u5165\u529b\u30c7\u30fc\u30bf\u306f\u4ee5\u4e0b\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u2266 H \u2266 4 000\uff0e<\/li>\r\n\t<li>1 \u2266 W \u2266 4 000\uff0e<\/li>\r\n\t<li>3 \u2266 L \u2266 H \u304b\u3064 3 \u2266 L \u2266 W\uff0e<\/li>\r\n\t<li>0 \u2266 P \u2266 100 000\uff0e<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub> \u2266 H (1 \u2266 i \u2266 P)\uff0e<\/li>\r\n\t<li>1 \u2266 B<sub>i<\/sub> \u2266 W (1 \u2266 i \u2266 P)\uff0e<\/li>\r\n\t<li>(A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (A<sub>j<\/sub>, B<sub>j<\/sub>) (1 \u2266 i &lt; j \u2266 P)\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u57ce\u58c1\u3068\u3057\u3066\u3042\u308a\u3046\u308b\u3082\u306e\u306f\u4f55\u901a\u308a\u3042\u308b\u304b\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u3053\u306e\u5165\u529b\u4f8b\u306e\u5834\u5408\uff0c\u57ce\u58c1\u3068\u3057\u3066\u3042\u308a\u3046\u308b\u3082\u306e\u306f\u4ee5\u4e0b\u306e 4 \u901a\u308a\u304c\u8003\u3048\u3089\u308c\u308b\uff0e\u305f\u3060\u3057\uff0c&times; \u3067\u793a\u3057\u305f\u30de\u30b9\u306f\u57ce\u58c1\u304c\u5b58\u5728\u3057\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u30de\u30b9\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images3\/ran.png\" style=\"height:373px; width:378px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">&nbsp;<\/p>\r\n","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]

출처

Olympiad > 일본정보올림피아드 > JOI 2015 5번

  • 문제를 번역한 사람: myungwoo
  • 문제의 오타를 찾은 사람: yclock