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문제

상근이는 건강을 위해 산책을 하려고 한다.

상근이가 사는 마을은 아래 그림과 같이 가로 방향 도로가 (H+1)개, 세로 방향 도로가 (W+1)개가 바둑판 모양으로 배치되어 있다. 상근이네 집은 가장 왼쪽 위 교차로에 있으며, 이곳에서 산책을 시작한다.

(a,b)는 위쪽에서 a번째, 왼쪽에서 b번째에 있는 교차로이다. 예를 들어, 상근이네 집은 교차로 (1,1)에 있다.

상근이는 산책 경로가 매일 달라야 질리지 않고 산책을 할 수 있다고 생각한다. 따라서, (1,1)에서 (H,W)까지 H × W개 교차로에 오른쪽을 뜻하는 오 또는 아래를 뜻하는 아를 쓰고, 다음과 같은 규칙에 따라서 산책을 하기로 했다.

교차로에 쓰여 있는 문자가 오라면, 이 문자를 지우고 아를 쓴다. 그 다음에 오른쪽으로 진행한다. 만약, 교차로에 쓰여 있는 문자가 아라면, 이 문자를 지우고 오를 쓴뒤, 아래로 진행한다.

이렇게 산책을 하다가 가장 오른쪽이나 아래쪽 도로에 도착하면 산책을 종료한다.

상근이는 이런 방법으로 산책을 계속 한다면, N번째 산책 경로가 어떻게 될지 궁금해졌다. H, W와 각 교차로에 써놓은 글자가 주어졌을 때, N번째 산책 경로를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 H, W, N이 주어진다. (1 ≤ H,W ≤ 1000, 1 ≤ N ≤ 107)

둘째 줄부터 H개 줄에는 W개 정수가 주어진다. 이 정수는 상근이가 교차로에 써 놓은 문자의 정보이다. 0은 아래쪽을 의미하는 '아', 1은 오른쪽을 의미하는 '오'이다.

출력

N번째 산책에서 산책을 종료하는 교차로가 (i,j)라고 할 때, i와 j를 공백으로 구분하여 출력한다.

예제 입력 1

3 4 3
1 0 1 1
0 1 0 0
1 0 1 0

예제 출력 1

1 5

힌트

[{"problem_id":"5573","problem_lang":"0","title":"\uc0b0\ucc45","description":"<p>\uc0c1\uadfc\uc774\ub294 \uac74\uac15\uc744 \uc704\ud574 \uc0b0\ucc45\uc744 \ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uac00 \uc0ac\ub294 \ub9c8\uc744\uc740 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\uc774 \uac00\ub85c \ubc29\ud5a5 \ub3c4\ub85c\uac00 (H+1)\uac1c, \uc138\ub85c \ubc29\ud5a5 \ub3c4\ub85c\uac00 (W+1)\uac1c\uac00 \ubc14\ub451\ud310 \ubaa8\uc591\uc73c\ub85c \ubc30\uce58\ub418\uc5b4 \uc788\ub2e4. \uc0c1\uadfc\uc774\ub124 \uc9d1\uc740 \uac00\uc7a5 \uc67c\ucabd \uc704 \uad50\ucc28\ub85c\uc5d0 \uc788\uc73c\uba70, \uc774\uacf3\uc5d0\uc11c \uc0b0\ucc45\uc744 \uc2dc\uc791\ud55c\ub2e4.<\/p>\r\n\r\n<p>(a,b)\ub294 \uc704\ucabd\uc5d0\uc11c a\ubc88\uc9f8, \uc67c\ucabd\uc5d0\uc11c b\ubc88\uc9f8\uc5d0 \uc788\ub294 \uad50\ucc28\ub85c\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc0c1\uadfc\uc774\ub124 \uc9d1\uc740 \uad50\ucc28\ub85c (1,1)\uc5d0 \uc788\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/walk.png\" style=\"height:226px; width:351px\" \/><\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc0b0\ucc45 \uacbd\ub85c\uac00 \ub9e4\uc77c \ub2ec\ub77c\uc57c \uc9c8\ub9ac\uc9c0 \uc54a\uace0 \uc0b0\ucc45\uc744 \ud560 \uc218 \uc788\ub2e4\uace0 \uc0dd\uac01\ud55c\ub2e4. \ub530\ub77c\uc11c, (1,1)\uc5d0\uc11c (H,W)\uae4c\uc9c0 H &times; W\uac1c \uad50\ucc28\ub85c\uc5d0 \uc624\ub978\ucabd\uc744 \ub73b\ud558\ub294 \uc624 \ub610\ub294 \uc544\ub798\ub97c \ub73b\ud558\ub294 \uc544\ub97c \uc4f0\uace0, \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc5d0 \ub530\ub77c\uc11c \uc0b0\ucc45\uc744 \ud558\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uad50\ucc28\ub85c\uc5d0 \uc4f0\uc5ec \uc788\ub294 \ubb38\uc790\uac00 \uc624\ub77c\uba74, \uc774 \ubb38\uc790\ub97c \uc9c0\uc6b0\uace0 \uc544\ub97c \uc4f4\ub2e4. \uadf8 \ub2e4\uc74c\uc5d0 \uc624\ub978\ucabd\uc73c\ub85c \uc9c4\ud589\ud55c\ub2e4. \ub9cc\uc57d, \uad50\ucc28\ub85c\uc5d0 \uc4f0\uc5ec \uc788\ub294 \ubb38\uc790\uac00 \uc544\ub77c\uba74, \uc774 \ubb38\uc790\ub97c \uc9c0\uc6b0\uace0 \uc624\ub97c \uc4f4\ub4a4, \uc544\ub798\ub85c \uc9c4\ud589\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub807\uac8c \uc0b0\ucc45\uc744 \ud558\ub2e4\uac00 \uac00\uc7a5 \uc624\ub978\ucabd\uc774\ub098 \uc544\ub798\ucabd \ub3c4\ub85c\uc5d0 \ub3c4\ucc29\ud558\uba74 \uc0b0\ucc45\uc744 \uc885\ub8cc\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc774\ub7f0 \ubc29\ubc95\uc73c\ub85c \uc0b0\ucc45\uc744 \uacc4\uc18d \ud55c\ub2e4\uba74, N\ubc88\uc9f8 \uc0b0\ucc45 \uacbd\ub85c\uac00 \uc5b4\ub5bb\uac8c \ub420\uc9c0 \uad81\uae08\ud574\uc84c\ub2e4. H, W\uc640 \uac01 \uad50\ucc28\ub85c\uc5d0 \uc368\ub193\uc740 \uae00\uc790\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, N\ubc88\uc9f8 \uc0b0\ucc45 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 H, W, N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; H,W &le; 1000, 1 &le; N &le; 10<sup>7<\/sup>)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 H\uac1c \uc904\uc5d0\ub294 W\uac1c \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc815\uc218\ub294 \uc0c1\uadfc\uc774\uac00 \uad50\ucc28\ub85c\uc5d0 \uc368 \ub193\uc740 \ubb38\uc790\uc758 \uc815\ubcf4\uc774\ub2e4. 0\uc740 \uc544\ub798\ucabd\uc744 \uc758\ubbf8\ud558\ub294 &#39;\uc544&#39;, 1\uc740 \uc624\ub978\ucabd\uc744 \uc758\ubbf8\ud558\ub294 &#39;\uc624&#39;\uc774\ub2e4.<\/p>\r\n","output":"<p>N\ubc88\uc9f8 \uc0b0\ucc45\uc5d0\uc11c \uc0b0\ucc45\uc744 \uc885\ub8cc\ud558\ub294 \uad50\ucc28\ub85c\uac00 (i,j)\ub77c\uace0 \ud560 \ub54c, i\uc640 j\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/upload\/images\/walkpath.png\" style=\"height:163px; width:644px\" \/><\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5573","problem_lang":"2","title":"\u6563\u6b69","description":"<p>JOI\u753a\u306b\u4f4f\u3080\u592a\u90ce\u541b\u306f\uff0c\u3042\u308b\u65e5\uff0c\u5065\u5eb7\u5897\u9032\u306e\u305f\u3081\u306b\u6563\u6b69\u3092\u65e5\u8ab2\u306b\u3057\u3088\u3046\u3068\u601d\u3044\u7acb\u3063\u305f\uff0e<\/p>\r\n\r\n<p>\u592a\u90ce\u541b\u306e\u4f4f\u3080 JOI \u753a\u306b\u306f\uff0c\u56f3\u306e\u3088\u3046\u306b\uff0c\u6771\u897f\u65b9\u5411\u306b\u8d70\u308b (H + 1) \u672c\u306e\u9053\u8def\u3068\uff0c\u5357\u5317\u65b9\u5411\u306b\u8d70\u308b (W + 1) \u672c\u306e\u9053\u8def\u304c\u7881\u76e4\u76ee\u72b6\u306b\u901a\u3063\u3066\u3044\u308b\uff0e\u592a\u90ce\u541b\u306e\u5bb6\u306f\u3082\u3063\u3068\u3082\u5317\u897f\u306e\u4ea4\u5dee\u70b9\u306b\u3042\u308a\uff0c\u3053\u3053\u304b\u3089\u6563\u6b69\u3092\u958b\u59cb\u3059\u308b\uff0e<\/p>\r\n\r\n<p>\u4ee5\u964d\uff0c\u5317\u304b\u3089 a \u756a\u76ee\uff0c\u897f\u304b\u3089 b \u756a\u76ee\u306e\u4ea4\u5dee\u70b9\u3092 (a, b) \u3067\u8868\u3059\uff0e\u305f\u3068\u3048\u3070\uff0c\u592a\u90ce\u541b\u306e\u5bb6\u304c\u3042\u308b\u4ea4\u5dee\u70b9\u306f (1, 1) \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c369bcb6-cc54-4f37-8fc0-fb0979dac948\/-\/crop\/692x439\/0,3\/-\/preview\/\" style=\"width: 346px; height: 220px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u56f3: JOI \u753a\u306e\u56f3 (H = 3, W = 4 \u306e\u5834\u5408)\uff0e\u56f3\u306e\u4e0a\u304c\u5317\uff0c\u5de6\u304c\u897f\u306b\u5bfe\u5fdc\u3059\u308b\uff0e<\/p>\r\n\r\n<p>\u592a\u90ce\u541b\u306f\uff0c\u6563\u6b69\u306e\u30eb\u30fc\u30c8\u304c\u65e5\u3005\u9055\u3063\u305f\u307b\u3046\u304c\u9762\u767d\u3044\u3068\u8003\u3048\u305f\u306e\u3067\uff0c(1, 1)\u304b\u3089(H, W)\u307e\u3067\u306e H &times; W \u500b\u306e\u4ea4\u5dee\u70b9\u306b\uff0c\u300c\u6771\u300d\u307e\u305f\u306f\u300c\u5357\u300d\u306e\u6587\u5b57\u3092\u66f8\u304d\uff0c\u6b21\u306e\u3088\u3046\u306a\u30eb\u30fc\u30eb\u306b\u5f93\u3063\u3066\u6bce\u65e5\u6563\u6b69\u3092\u884c\u3046\u3053\u3068\u306b\u3057\u305f\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>\u6587\u5b57\u306e\u66f8\u304b\u308c\u305f\u4ea4\u5dee\u70b9\u306b\u3044\u308b\u5834\u5408\uff0c\u305d\u306e\u4ea4\u5dee\u70b9\u306b\u66f8\u304b\u308c\u3066\u3044\u308b\u6587\u5b57\u304c\u300c\u6771\u300d\u306a\u3089\u300c\u5357\u300d\u306b\uff0c\u300c\u5357\u300d\u306a\u3089\u300c\u6771\u300d\u306b\u6587\u5b57\u3092\u66f8\u304d\u63db\u3048\uff0c\u3082\u3068\u3082\u3068\u66f8\u304b\u308c\u3066\u3044\u305f\u6587\u5b57\u306e\u65b9\u89d2\u306b\u3042\u308b\u6b21\u306e\u4ea4\u5dee\u70b9\u307e\u3067\u9032\u3080\uff0e<\/li>\r\n\t<li>\u3082\u3063\u3068\u3082\u6771\u3084\u3082\u3063\u3068\u3082\u5357\u306e\u9053\u8def\u306b\u5230\u9054\u3057\u305f\u3089\u6563\u6b69\u3092\u7d42\u4e86\u3059\u308b\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u3053\u306e\u8a08\u753b\u3092\u8003\u3048\u305f\u5f8c\uff0c\u592a\u90ce\u541b\u306f\uff0c\u5c06\u6765\u306e\u6563\u6b69\u3067\u81ea\u5206\u304c\u3069\u306e\u3088\u3046\u306a\u30eb\u30fc\u30c8\u3092\u305f\u3069\u308b\u3053\u3068\u306b\u306a\u308b\u306e\u304b\u304c\u6c17\u306b\u306a\u3063\u305f\uff0e\u592a\u90ce\u541b\u306e\u305f\u3081\u306b\uff0c\u592a\u90ce\u541b\u306e N \u56de\u76ee\u306e\u6563\u6b69\u306e\u30eb\u30fc\u30c8\u3092\u4e88\u6e2c\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>1\u884c\u76ee\u306b\u306f\uff0c3\u3064\u306e\u6b63\u6574\u6570\u304c\u7a7a\u767d\u533a\u5207\u308a\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u3089\u306f\uff0c\u554f\u984c\u6587\u4e2d\u306e3\u3064\u306e\u6570\u5024 H, W, N \u306e\u5024\u3067\u3042\u308b\uff0eH, W, N \u306f\u305d\u308c\u305e\u308c\uff0c1 &le; H &le; 1000, 1 &le; W &le; 1000, 1 5N &le; 10000000 = 10<sup>7<\/sup> \u3092\u307f\u305f\u3059\uff0e2 \u884c\u76ee\u304b\u3089 H + 1 \u884c\u76ee\u306b\u306f\uff0c\u305d\u308c\u305e\u308c W \u500b\u306e\u6574\u6570\u304c\u7a7a\u767d\u533a\u5207\u308a\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u3089\u306f\uff0c\u592a\u90ce\u541b\u304c\u6700\u521d\u306b\u4ea4\u5dee\u70b9\u306b\u66f8\u3044\u305f\u6587\u5b57\u306e\u60c5\u5831\u3092\u8868\u3059\uff0ei + 1 \u884c\u76ee\u306e j \u756a\u76ee\u306e\u6574\u6570\u304c 0 \u306a\u3089\uff0c\u4ea4\u5dee\u70b9 (i, j) \u306b\u66f8\u304b\u308c\u305f\u6587\u5b57\u304c\u300c\u5357\u300d\u3067\u3042\u308b\u3053\u3068\u3092\uff0c1 \u306a\u3089\uff0c\u4ea4\u5dee\u70b9 (i, j) \u306b\u66f8\u304b\u308c\u305f\u6587\u5b57\u304c\u300c\u6771\u300d\u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/p>\r\n","output":"<p>N \u56de\u76ee\u306e\u6563\u6b69\u306b\u304a\u3044\u3066\u592a\u90ce\u541b\u304c\u6563\u6b69\u3092\u7d42\u4e86\u3059\u308b\u4ea4\u5dee\u70b9\u304c (i, j) \u306e\u3068\u304d\uff0ci \u3068 j \u3092\u3053\u306e\u9806\u306b\u7a7a\u767d\u3067\u533a\u5207\u3063\u3066\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/e655b080-f1c6-4aef-a283-9116ea1315a0\/-\/preview\/\" style=\"width: 604px; height: 144px;\" \/><\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Japanese"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2008/2009 4번