시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

상근이가 살고 있는 나라는 매우 많은 섬으로 이루어져 있다. 이 나라의 국민들은 나라가 매우 많은 섬으로 이루어져 있다는 사실을 자랑스러워 하고 있다. 

나라를 이루고 있는 섬 중 일부는 같은 모양이다. 한 섬을 이동시켜서 다른 섬과 완전히 일치하게 만들 수 있다면, 두 섬을 같은 모양이라고 한다. 이러한 사실 때문에, 많은 관광객은 나라의 아름다움을 측정한다. 나라의 아름다움이란 같은 모양을 가지는 섬의 쌍의 개수와 같다.

하지만, 지구 온난화 때문에 해수면은 매년 상승하고 있다. 해수면의 상승은 아름다움을 매년 변하게 만든다.

이 나라의 지도는 R×C개의 정사각형으로 나타낼 수 있다. 지도를 만든 시점에 해수면은 0이며, 섬의 높이는 모두 자연수이다. 해수면은 1년에 1씩 상승한다. T년이 지난 후에, T보다 낮은 높이를 가진 섬은 모두 물에 잠기게 된다. 섬을 이루고 있는 돌은 모두 구멍이 많다. 따라서, T보다 높이가 낮으면서 섬의 내부에 있는 곳도 모두 물에 잠기게 된다. 두 땅(정사각형)이 같은 섬에 포함되려면, 한 땅에서 출발해서 그 땅으로 왼쪽, 오른쪽, 위, 아래쪽 땅으로만 지나가서 도착할 수 있어야 한다.

T년이 지난 후에 이 나라의 아름다움이 어떻게 변하는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 지도의 크기 R과 C가 주어진다. (3 ≤ R, C ≤ 1000)

다음 R개 줄에는 C개의 음이 아닌 정수가 주어진다. 정수는 공백으로 구분되어져 있다. 각 값은 109를 넘지 않고, 측정할 당시에 그 땅의 높이를 나타낸다.

다음 줄에는 조사하려고 하는 연도의 수 Q가 주어진다. (1 ≤ Q ≤ 100 000)

다음 줄에는 Q개의 자연수가 공백으로 구분되어 주어지며, 모두 109를 넘지 않는다. 입력으로 주어진 값에 따라서 그 해가 지나면 아름다움이 어떻게 변하는지를 출력한다. 연도는 오름차순으로 주어진다.

출력

총 Q개 줄에 걸쳐서, 입력으로 주어진 해만큼 지나면 나라의 아름다움이 몇 인지를 출력한다.

예제 입력 1

5 6
100 2 3 4 5 6 
20 4 45 12 3 4 
0 0 1 2 3 0 
0 0 0 0 0 0
0 0 1 2 3 0
3
1 4 10

예제 출력 1

0
1
0
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T\ub144\uc774 \uc9c0\ub09c \ud6c4\uc5d0, T\ubcf4\ub2e4 \ub0ae\uc740 \ub192\uc774\ub97c \uac00\uc9c4 \uc12c\uc740 \ubaa8\ub450 \ubb3c\uc5d0 \uc7a0\uae30\uac8c \ub41c\ub2e4. \uc12c\uc744 \uc774\ub8e8\uace0 \uc788\ub294 \ub3cc\uc740 \ubaa8\ub450 \uad6c\uba4d\uc774 \ub9ce\ub2e4. \ub530\ub77c\uc11c, T\ubcf4\ub2e4 \ub192\uc774\uac00 \ub0ae\uc73c\uba74\uc11c \uc12c\uc758 \ub0b4\ubd80\uc5d0 \uc788\ub294 \uacf3\ub3c4 \ubaa8\ub450 \ubb3c\uc5d0 \uc7a0\uae30\uac8c \ub41c\ub2e4. \ub450 \ub545(\uc815\uc0ac\uac01\ud615)\uc774 \uac19\uc740 \uc12c\uc5d0 \ud3ec\ud568\ub418\ub824\uba74, \ud55c \ub545\uc5d0\uc11c \ucd9c\ubc1c\ud574\uc11c \uadf8 \ub545\uc73c\ub85c \uc67c\ucabd, \uc624\ub978\ucabd, \uc704, \uc544\ub798\ucabd \ub545\uc73c\ub85c\ub9cc \uc9c0\ub098\uac00\uc11c \ub3c4\ucc29\ud560 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/upload\/images\/Screen%20Shot%202013-05-27%20at%20%EC%98%A4%ED%9B%84%208_07_29.png\" style=\"height:251px; width:573px\" \/><\/p>\r\n\r\n<p>T\ub144\uc774 \uc9c0\ub09c \ud6c4\uc5d0 \uc774 \ub098\ub77c\uc758 \uc544\ub984\ub2e4\uc6c0\uc774 \uc5b4\ub5bb\uac8c \ubcc0\ud558\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc9c0\ub3c4\uc758 \ud06c\uae30 R\uacfc C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (3 &le; R, C &le; 1000)<\/p>\r\n\r\n<p>\ub2e4\uc74c R\uac1c \uc904\uc5d0\ub294 C\uac1c\uc758 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uac00&nbsp;\uc8fc\uc5b4\uc9c4\ub2e4. \uc815\uc218\ub294 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc838 \uc788\ub2e4. \uac01 \uac12\uc740 10<sup>9<\/sup>\ub97c \ub118\uc9c0 \uc54a\uace0, \uce21\uc815\ud560 \ub2f9\uc2dc\uc5d0 \uadf8 \ub545\uc758 \ub192\uc774\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0\ub294 \uc870\uc0ac\ud558\ub824\uace0 \ud558\ub294 \uc5f0\ub3c4\uc758 \uc218 Q\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;(1 &le; Q &le; 100 000)<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0\ub294 Q\uac1c\uc758 \uc790\uc5f0\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c0\uba70, \ubaa8\ub450 10<sup>9<\/sup>\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4. \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \uac12\uc5d0 \ub530\ub77c\uc11c \uadf8 \ud574\uac00 \uc9c0\ub098\uba74 \uc544\ub984\ub2e4\uc6c0\uc774 \uc5b4\ub5bb\uac8c \ubcc0\ud558\ub294\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc5f0\ub3c4\ub294 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\ucd1d Q\uac1c \uc904\uc5d0 \uac78\uccd0\uc11c, \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \ud574\ub9cc\ud07c \uc9c0\ub098\uba74 \ub098\ub77c\uc758 \uc544\ub984\ub2e4\uc6c0\uc774 \uba87 \uc778\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3082","problem_lang":"1","title":"ARHIPELAG","description":"<p>One popular touristic country is situated on a sunny archipelago. Citizens of that country are very proud of their numerous islands. There are so many islands that some of them even have completely equal layout: two islands have equal layout if we can translate one so that his layout completely overlaps with the layout of the second island. This fact delights tourists so much that they decided to measure the beauty of the archipelago as the total number of pairs of islands with identical layouts.&nbsp;<\/p>\r\n\r\n<p>However, global warming has worried the citizens: elevation of the sea level results in the higher loss of the shore, which causes changes in the beauty of the archipelago.<\/p>\r\n\r\n<p>More precisely, the map of the archipelago is shown with R x C squares. In some moment for each square this elevation was measured: elevation is equal to 0 if there was sea on that square when the measurement was taken, else it&#39;s equal to some natural number - elevation of that square in meters. The sea level rises for 1 meter every year, and after T years it will flood all the squares which had their elevation smaller or equal to T when they were measured. Considering that the archipelago is rocky and porous in origin, the sea penetrates the inside of the island, flooding all the parts which are not above the sea level. Two ground squares belong to the same island if it&#39;s possible to go from one square to the other by doing consecutive moves on the contiguous left, right, lower or top ground square.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/Screen%20Shot%202013-05-27%20at%20%EC%98%A4%ED%9B%84%208_07_29.png\" style=\"height:251px; width:573px\" \/><\/p>\r\n\r\n<p>Citizens are interested in knowing how the beauty of their archipelago is going to change over the course of a few centuries. Write a program which will, for each of the given years, determine the beauty of the archipelago after that many years pass from the moment of measurement of elevation.<\/p>\r\n","input":"<p>In the first line there are natural numbers R and C (3 &le; R, C &le; 1000), dimensions of the map.&nbsp;<\/p>\r\n\r\n<p>In each of the following R lines there are C nonnegative integers divided by space, of value at most 10<sup>9<\/sup>, which represent elevations of the squares in the moment of measurement.&nbsp;<\/p>\r\n\r\n<p>In the next line there is a natural number Q (1 &le; Q &le; 100 000), number of years for which we need to determine the beauty of the archipelago.&nbsp;<\/p>\r\n\r\n<p>In the next line there are Q natural numbers divided by space, of value at most 10<sup>9<\/sup>, which represent years for which we need to determine the beauty of the archipelago. Years are listed sorted, from less to greater.&nbsp;<\/p>\r\n","output":"<p>You must output a total of Q lines.&nbsp;<\/p>\r\n\r\n<p>In every line output the beauty of the archipelago after the appropriate number of years in the input data, in the same order as listed there.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > Croatian Highschool Competitions in Informatics > 2012 > Final Exam #1 1번