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문제

산타클로스는 노원구에 살고있는 모든 아이들에게 선물을 나누어 주려고 한다. 노원구에 있는 모든 집에는 아이가 있기 때문에, 산타클로스는 모든 집에 선물을 나누어 주어야 한다. 올해 산타가 타고 다닐 루돌프는 길치라서 건물 이외의 장소에는 내릴 수 없다. 따라서, 산타는 선물을 나누어줄 방법을 연구하려고 한다.

노원구는 1*1 크기의 영역으로 나누어져 있고, 각 영역은 집, 교회, 공터 중 하나이다. 노원구에는 교회가 하나 있다. 산타클로스와 루돌프는 교회에서 출발하여 모든 집에 선물을 나누어 주고, 다시 교회로 돌아가려고 한다. 또, 다음 규칙을 지켜야 한다.

  1. 루돌프는 동서남북 방향으로만 날 수 있다. 또, 공중에서 방향 전환을 할 수 없다.
  2. 아직 선물을 나누어 주지 않은 집은 자유롭게 통과할 수 있다. 아직 선물을 주지 않은 집에 내려갔다면, 그 집에 선물을 나누어 주어야 하고, 다시 동서남북 방향 중 한 방향으로 날아 오른다.
  3. 노원구의 모든 집에는 벽난로가 있다. 산타가 오기 전에는 벽난로에 불을 붙이지 않는다. 산타는 같은 집에 선물을 두 번 나누어 주지 않기 위해, 날아 오를때 벽난로에 불을 붙인다. 따라서, 벽난로에 불을 붙이면 굴뚝에서 연기가 나오므로, 선물을 나누어 준 집 위를 통과할 수 없다.
  4. 교회는 자유롭게 통과할 수 있다. 하지만, 교회에서는 예배가 있기 때문에, 모든 선물을 나누어 주기 전까지 교회에 내릴 수 없다.
  5. 공터 위는 자유롭게 통과할 수 있다. 하지만, 공터에 내릴 수는 없다.

도시의 구조가 주어졌을 때, 산타와 루돌프가 선물을 나누어주는 방법의 수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 마을의 가로 크기 m과 세로 크기 n이 주어진다. (1 ≤ m, n ≤ 10) 다음 n개 줄은 m개의 수가 공백으로 구분되어 주어진다. 각 수는 그 구역의 상태이며, 0, 1, 2중 하나이다. 0인 경우에는 공터, 집인 경우에는 1, 교회인 경우에는 2가 된다. 교회는 항상 1개이며, 집의 개수는 1개 이상, 23개 이하이다.

출력

첫째 줄에 선물을 나누어 줄 수 있는 방법의 수를 출력한다. 이 값은 2000000보다 작거나 같다.

예제 입력 1

3 2
1 0 1
1 0 2

예제 출력 1

2

예제 입력 2

3 3
1 1 1
1 0 1
1 1 2

예제 출력 2

6
[{"problem_id":"5570","problem_lang":"0","title":"\uc0b0\ud0c0\ud074\ub85c\uc2a4\uc640 \ub8e8\ub3cc\ud504","description":"<p>\uc0b0\ud0c0\ud074\ub85c\uc2a4\ub294 \ub178\uc6d0\uad6c\uc5d0 \uc0b4\uace0\uc788\ub294 \ubaa8\ub4e0 \uc544\uc774\ub4e4\uc5d0\uac8c \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\ub824\uace0 \ud55c\ub2e4. \ub178\uc6d0\uad6c\uc5d0 \uc788\ub294 \ubaa8\ub4e0 \uc9d1\uc5d0\ub294 \uc544\uc774\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0, \uc0b0\ud0c0\ud074\ub85c\uc2a4\ub294 \ubaa8\ub4e0 \uc9d1\uc5d0 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\uc5b4\uc57c \ud55c\ub2e4. \uc62c\ud574 \uc0b0\ud0c0\uac00 \ud0c0\uace0 \ub2e4\ub2d0 \ub8e8\ub3cc\ud504\ub294 \uae38\uce58\ub77c\uc11c \uac74\ubb3c \uc774\uc678\uc758 \uc7a5\uc18c\uc5d0\ub294 \ub0b4\ub9b4 \uc218 \uc5c6\ub2e4. \ub530\ub77c\uc11c, \uc0b0\ud0c0\ub294 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4\uc904 \ubc29\ubc95\uc744 \uc5f0\uad6c\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub178\uc6d0\uad6c\ub294 1*1 \ud06c\uae30\uc758 \uc601\uc5ed\uc73c\ub85c \ub098\ub204\uc5b4\uc838 \uc788\uace0, \uac01 \uc601\uc5ed\uc740 \uc9d1, \uad50\ud68c, \uacf5\ud130 \uc911 \ud558\ub098\uc774\ub2e4. \ub178\uc6d0\uad6c\uc5d0\ub294 \uad50\ud68c\uac00 \ud558\ub098 \uc788\ub2e4. \uc0b0\ud0c0\ud074\ub85c\uc2a4\uc640 \ub8e8\ub3cc\ud504\ub294 \uad50\ud68c\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec \ubaa8\ub4e0 \uc9d1\uc5d0 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\uace0, \ub2e4\uc2dc \uad50\ud68c\ub85c \ub3cc\uc544\uac00\ub824\uace0 \ud55c\ub2e4. \ub610, \ub2e4\uc74c \uaddc\uce59\uc744 \uc9c0\ucf1c\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\ub8e8\ub3cc\ud504\ub294 \ub3d9\uc11c\ub0a8\ubd81 \ubc29\ud5a5\uc73c\ub85c\ub9cc \ub0a0 \uc218 \uc788\ub2e4. \ub610, \uacf5\uc911\uc5d0\uc11c \ubc29\ud5a5 \uc804\ud658\uc744 \ud560 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uc544\uc9c1 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\uc9c0 \uc54a\uc740 \uc9d1\uc740 \uc790\uc720\ub86d\uac8c \ud1b5\uacfc\ud560 \uc218 \uc788\ub2e4. \uc544\uc9c1 \uc120\ubb3c\uc744 \uc8fc\uc9c0 \uc54a\uc740 \uc9d1\uc5d0 \ub0b4\ub824\uac14\ub2e4\uba74, \uadf8 \uc9d1\uc5d0 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\uc5b4\uc57c \ud558\uace0, \ub2e4\uc2dc \ub3d9\uc11c\ub0a8\ubd81 \ubc29\ud5a5 \uc911 \ud55c \ubc29\ud5a5\uc73c\ub85c \ub0a0\uc544 \uc624\ub978\ub2e4.<\/li>\r\n\t<li>\ub178\uc6d0\uad6c\uc758 \ubaa8\ub4e0 \uc9d1\uc5d0\ub294 \ubcbd\ub09c\ub85c\uac00 \uc788\ub2e4. \uc0b0\ud0c0\uac00 \uc624\uae30 \uc804\uc5d0\ub294 \ubcbd\ub09c\ub85c\uc5d0 \ubd88\uc744 \ubd99\uc774\uc9c0 \uc54a\ub294\ub2e4. \uc0b0\ud0c0\ub294 \uac19\uc740 \uc9d1\uc5d0 \uc120\ubb3c\uc744 \ub450 \ubc88 \ub098\ub204\uc5b4 \uc8fc\uc9c0 \uc54a\uae30 \uc704\ud574, \ub0a0\uc544 \uc624\ub97c\ub54c \ubcbd\ub09c\ub85c\uc5d0 \ubd88\uc744 \ubd99\uc778\ub2e4. \ub530\ub77c\uc11c, \ubcbd\ub09c\ub85c\uc5d0 \ubd88\uc744 \ubd99\uc774\uba74 \uad74\ub69d\uc5d0\uc11c \uc5f0\uae30\uac00 \ub098\uc624\ubbc0\ub85c, \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc900 \uc9d1 \uc704\ub97c \ud1b5\uacfc\ud560 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uad50\ud68c\ub294 \uc790\uc720\ub86d\uac8c \ud1b5\uacfc\ud560 \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \uad50\ud68c\uc5d0\uc11c\ub294 \uc608\ubc30\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0, \ubaa8\ub4e0 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc8fc\uae30 \uc804\uae4c\uc9c0 \uad50\ud68c\uc5d0 \ub0b4\ub9b4 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uacf5\ud130 \uc704\ub294 \uc790\uc720\ub86d\uac8c \ud1b5\uacfc\ud560 \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \uacf5\ud130\uc5d0 \ub0b4\ub9b4 \uc218\ub294 \uc5c6\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\ub3c4\uc2dc\uc758 \uad6c\uc870\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc0b0\ud0c0\uc640 \ub8e8\ub3cc\ud504\uac00 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4\uc8fc\ub294 \ubc29\ubc95\uc758 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub9c8\uc744\uc758 \uac00\ub85c \ud06c\uae30 m\uacfc \uc138\ub85c \ud06c\uae30 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; m, n &le; 10) \ub2e4\uc74c n\uac1c \uc904\uc740 m\uac1c\uc758 \uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc218\ub294 \uadf8 \uad6c\uc5ed\uc758 \uc0c1\ud0dc\uc774\uba70, 0, 1, 2\uc911 \ud558\ub098\uc774\ub2e4. 0\uc778 \uacbd\uc6b0\uc5d0\ub294 \uacf5\ud130, \uc9d1\uc778 \uacbd\uc6b0\uc5d0\ub294 1, \uad50\ud68c\uc778 \uacbd\uc6b0\uc5d0\ub294 2\uac00 \ub41c\ub2e4. \uad50\ud68c\ub294 \ud56d\uc0c1 1\uac1c\uc774\uba70, \uc9d1\uc758 \uac1c\uc218\ub294 1\uac1c \uc774\uc0c1, 23\uac1c \uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc120\ubb3c\uc744 \ub098\ub204\uc5b4 \uc904 \uc218 \uc788\ub294 \ubc29\ubc95\uc758 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc774 \uac12\uc740 2000000\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5570","problem_lang":"2","title":"\u65b9\u5411\u97f3\u75f4\u306e\u30c8\u30ca\u30ab\u30a4","description":"<p>\u4eca\u5e74\u3082 JOI \u753a\u306b\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u304c\u7a7a\u304b\u3089\u3084\u3063\u3066\u304d\u305f\uff0eJOI \u753a\u306b\u3042\u308b\u5168\u3066\u306e\u5bb6\u306b\u306f\u5b50\u4f9b\u304c\u3044\u308b\u306e\u3067\uff0c\u3053\u306e\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u306f JOI \u753a\u306e\u5168\u3066\u306e\u5bb6\u306b\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u3063\u3066\u307e\u308f\u3089\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\uff0e\u3057\u304b\u3057\uff0c\u4eca\u5e74\u306f\u9023\u308c\u3066\u3044\u308b\u30c8\u30ca\u30ab\u30a4\u304c\u5c11\u3005\u65b9\u5411\u97f3\u75f4\u3067\u3042\u308a\uff0c\u307e\u305f\u5efa\u7269\u306e\u4e0a\u4ee5\u5916\u306b\u964d\u308a\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u305f\u3081\uff0c\u5168\u3066\u306e\u5bb6\u306b\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308b\u305f\u3081\u306b\u306f\u5c11\u3005\u9053\u9806\u3092\u5de5\u592b\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3088\u3046\u3060\uff0e<\/p>\r\n\r\n<p>JOI \u753a\u306f\u6771\u897f\u5357\u5317\u306b\u533a\u753b\u6574\u7406\u3055\u308c\u3066\u304a\u308a\uff0c\u5404\u533a\u753b\u306f\u5bb6\uff0c\u6559\u4f1a\uff0c\u7a7a\u304d\u5730\u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308b\uff0eJOI \u753a\u306b\u306f 1 \u3064\u3060\u3051\u6559\u4f1a\u304c\u3042\u308b\uff0e\u6b21\u306e\u30eb\u30fc\u30eb\u306b\u5f93\u3044\uff0c\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u3068\u30c8\u30ca\u30ab\u30a4\u306f\u6559\u4f1a\u304b\u3089\u51fa\u767a\u3057\uff0c\u5168\u3066\u306e\u5bb6\u306b 1 \u56de\u305a\u3064\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u3063\u305f\u5f8c\uff0c\u6559\u4f1a\u306b\u623b\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>\u4eca\u5e74\u306e\u30c8\u30ca\u30ab\u30a4\u306f\u5c11\u3005\u65b9\u5411\u97f3\u75f4\u3067\u3042\u308b\u305f\u3081\uff0c\u6771\u897f\u5357\u5317\u3044\u305a\u308c\u304b\u306e\u65b9\u5411\u306b\u307e\u3063\u3059\u3050\u98db\u3076\u3053\u3068\u3057\u304b\u3067\u304d\u305a\uff0c\u7a7a\u4e2d\u3067\u306f\u65b9\u5411\u8ee2\u63db\u3067\u304d\u306a\u3044\uff0e<\/li>\r\n\t<li>\u307e\u3060\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u3063\u3066\u3044\u306a\u3044\u5bb6\u306e\u4e0a\u306f\u81ea\u7531\u306b\u901a\u904e\u3067\u304d\u308b\uff0e\u307e\u3060\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u3063\u3066\u3044\u306a\u3044\u5bb6\u306b\u306f\u964d\u308a\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u5bb6\u306b\u964d\u308a\u305f\u6642\u306f\u5fc5\u305a\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308a\uff0c\u305d\u306e\u5f8c\u306f\u6771\u897f\u5357\u5317\u3044\u305a\u308c\u304b\u306e\u65b9\u5411\u306b\u98db\u3073\u7acb\u3064\uff0e<\/li>\r\n\t<li>JOI \u753a\u306e\u5bb6\u3067\u306f\uff0c\u30af\u30ea\u30b9\u30de\u30b9\u306e\u591c\u306f\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u304c\u6765\u308b\u307e\u3067\u306f\u6696\u7089\u3092\u3064\u3051\u305a\u306b\u904e\u3054\u3057\u3066\u3044\u308b\u304c\uff0c\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u304c\u98db\u3073\u7acb\u3063\u305f\u5f8c\u306f\u6696\u7089\u3092\u3064\u3051\u308b\uff0e\u6696\u7089\u3092\u3064\u3051\u308b\u3068\u7159\u7a81\u304b\u3089\u7159\u304c\u51fa\u308b\u306e\u3067\uff0c\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308a\u7d42\u3048\u305f\u5bb6\u306e\u4e0a\u3092\u901a\u904e\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/li>\r\n\t<li>\u6559\u4f1a\u306e\u4e0a\u306f\u81ea\u7531\u306b\u901a\u904e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u3057\u304b\u3057\uff0c\u6559\u4f1a\u3067\u306f\u793c\u62dd\u304c\u884c\u308f\u308c\u3066\u3044\u308b\u306e\u3067\uff0c\u5168\u3066\u306e\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308a\u7d42\u3048\u308b\u307e\u3067\u6559\u4f1a\u306b\u964d\u308a\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/li>\r\n\t<li>\u7a7a\u304d\u5730\u306e\u4e0a\u306f\u81ea\u7531\u306b\u901a\u904e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304c\uff0c\u7a7a\u304d\u5730\u306b\u964d\u308a\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u5165\u529b\u3068\u3057\u3066\u753a\u306e\u69cb\u9020\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u30b5\u30f3\u30bf\u30af\u30ed\u30fc\u30b9\u3068\u30c8\u30ca\u30ab\u30a4\u304c\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308b\u9053\u9806\u304c\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>\u5165\u529b\u306f n+1 \u884c\u3042\u308b\uff0e 1 \u884c\u76ee\u306b\u306f\u6574\u6570 m (1 \u2266 m \u2266 10) \u3068\u6574\u6570 n (1 \u2266 n \u2266 10) \u304c\u7a7a\u767d\u3067\u533a\u5207\u3089\u308c\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e 2 \u884c\u76ee\u304b\u3089 n+1 \u884c\u76ee\u307e\u3067\u306e\u5404\u884c\u306b\u306f\uff0c0\uff0c1\uff0c2 \u306e\u3044\u305a\u308c\u304b\u304c\uff0c \u7a7a\u767d\u3067\u533a\u5207\u3089\u308c\u3066 m \u500b\u66f8\u304b\u308c\u3066\u304a\u308a\uff0c\u5404\u3005\u304c\u5404\u533a\u753b\u306e\u72b6\u614b\u3092\u8868\u3057\u3066\u3044\u308b\uff0e \u5317\u304b\u3089 i \u756a\u76ee\uff0c\u897f\u304b\u3089 j \u756a\u76ee\u306e\u533a\u753b\u3092 (i,j) \u3068\u8a18\u8ff0\u3059\u308b\u3053\u3068\u306b\u3059\u308b\u3068 (1 \u2266 i \u2266 n, 1 \u2266 j \u2266 m)\uff0c \u7b2c i+1 \u884c\u76ee\u306e j \u756a\u76ee\u306e\u5024\u306f\uff0c \u533a\u753b (i,j) \u304c\u7a7a\u304d\u5730\u3067\u3042\u308b\u5834\u5408\u306f 0 \u3068\u306a\u308a\uff0c \u5bb6\u3067\u3042\u308b\u5834\u5408\u306f 1 \u3068\u306a\u308a\uff0c \u6559\u4f1a\u3067\u3042\u308b\u5834\u5408\u306f 2 \u3068\u306a\u308b\uff0e \u6559\u4f1a\u306e\u500b\u6570\u306f 1 \u3067\u3042\u308a\uff0c\u5bb6\u306e\u500b\u6570\u306f 1 \u4ee5\u4e0a 23 \u4ee5\u4e0b\u3067\u3042\u308b\uff0e \u305f\u3060\u3057\uff0c\u63a1\u70b9\u7528\u5165\u529b\u30c7\u30fc\u30bf\u3067\u306f\u914d\u308b\u9053\u9806\u304c 2000000 \u901a\u308a\u3092\u3053\u3048\u308b\u3053\u3068\u306f\u306a\u3044\uff0e<\/p>\r\n","output":"<p>\u51fa\u529b\u306f\u30d7\u30ec\u30bc\u30f3\u30c8\u3092\u914d\u308b\u9053\u9806\u304c\u4f55\u901a\u308a\u3042\u308b\u304b\u3092\u8868\u3059\u6574\u6570\u306e\u307f\u3092\u542b\u3080 1 \u884c\u304b\u3089\u306a\u308b\uff0e<\/p>\r\n","hint":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/15e431ae-e465-4529-a5f3-f5fa3e21f7ac\/-\/preview\/\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u56f3: \u5165\u529b\u4f8b 2 \u306b\u5bfe\u3059\u308b 6 \u901a\u308a\u5168\u3066\u306e\u9053\u9806\uff08\u6570\u5b57\u306f\u914d\u308b\u9806\u5e8f\u3092\u8868\u3059\uff09<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Japanese"}]

출처

Olympiad > Japanese Olympiad in Informatics > Japanese Olympiad in Informatics Qualification Round > JOI 2009/2010 예선 6번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: SORINAMU