시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 157 124 119 80.952%

문제

숫자 9개가 오름차순이나 내림차순으로 정렬되어 있을 때, 중앙값은 다섯 번째 숫자이다. 예를 들어, 1, 3, 4, 1, 2, 6, 8, 4, 10의 중앙값은 4이다. (1 ≤ 1 ≤ 2 ≤ 3 ≤ 4 ≤ 4 ≤ 6 ≤ 8 ≤ 10)

이미지 I는 크기가 R × C인 2차원 픽셀이다. (3 ≤ R ≤ 40, 3 ≤ C ≤ 40) 각 픽셀은 어두운 정도 V를 나타낸다. (0 ≤ V ≤ 255)

중앙 필터는 이미지에 있는 노이즈를 제거하는 필터이다. 필터의 크기는 3 × 3이고, 이미지의 중앙값을 찾으면서 잡음을 제거한다.

예를 들어, 아래와 같은 6 × 5 이미지가 있다.

필터링된 이미지의 크기는 4 × 3이고, 아래와 같다.

가장 왼쪽 윗 행에 필터를 두고, 오른쪽으로 움직이면서 중앙값을 찾는다. 한 행을 모두 이동했으면, 다음 행으로 이동해 다시 중앙값을 찾는다. 아래와 같은 순서를 가진다.

위의 그림에서 각각의 중앙값은 36, 36, 21이 된다. 이 값은 필터링된 이미지 J의 첫 행과 같다. 

이미지 I가 주어졌을 때, 필터링 된 이미지 J를 구하고, 값이 T보다 크거나 같은 픽셀의 수를 구하는 프로그램을 작성하시오.

예를 들어, T = 40일 때, 위의 예에서 정답은 7이다. 

입력

첫째 줄에 이미지의 크기 R과 C가 주어진다. 그 다음 R개의 각 줄에는 C개의 픽셀 값이 주어진다. 마지막 줄에는 T값이 주어진다.

출력

첫째 줄에 필터링 된 이미지 J의 각 픽셀 값 중에서 T보다 크거나 같은 것의 개수를 출력한다.

예제 입력 1

6 5
49 36 73 62 21
27 88 14 11 12
99 18 36 91 21
45 96 72 12 10
12 48 49 75 56
12 15 48 86 78
40

예제 출력 1

7
[{"problem_id":"1895","problem_lang":"0","title":"\ud544\ud130","description":"<p>\uc22b\uc790 9\uac1c\uac00 \uc624\ub984\ucc28\uc21c\uc774\ub098 \ub0b4\ub9bc\ucc28\uc21c\uc73c\ub85c \uc815\ub82c\ub418\uc5b4 \uc788\uc744 \ub54c, \uc911\uc559\uac12\uc740 \ub2e4\uc12f \ubc88\uc9f8 \uc22b\uc790\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 1, 3, 4, 1, 2, 6, 8, 4, 10\uc758 \uc911\uc559\uac12\uc740 4\uc774\ub2e4. (1 &le; 1 &le; 2 &le; 3 &le; 4 &le; 4 &le; 6 &le; 8 &le; 10)<\/p>\r\n\r\n<p>\uc774\ubbf8\uc9c0 I\ub294 \ud06c\uae30\uac00 R&nbsp;&times; C\uc778 2\ucc28\uc6d0 \ud53d\uc140\uc774\ub2e4. (3 &le; R &le; 40, 3 &le; C &le; 40) \uac01 \ud53d\uc140\uc740 \uc5b4\ub450\uc6b4 \uc815\ub3c4 V\ub97c \ub098\ud0c0\ub0b8\ub2e4. (0 &le; V &le; 255)<\/p>\r\n\r\n<p>\uc911\uc559 \ud544\ud130\ub294 \uc774\ubbf8\uc9c0\uc5d0 \uc788\ub294 \ub178\uc774\uc988\ub97c \uc81c\uac70\ud558\ub294 \ud544\ud130\uc774\ub2e4. \ud544\ud130\uc758 \ud06c\uae30\ub294 3&nbsp;&times; 3\uc774\uace0, \uc774\ubbf8\uc9c0\uc758 \uc911\uc559\uac12\uc744 \ucc3e\uc73c\uba74\uc11c \uc7a1\uc74c\uc744 \uc81c\uac70\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \uc544\ub798\uc640 \uac19\uc740 6&nbsp;&times; 5 \uc774\ubbf8\uc9c0\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter1.gif\" style=\"height:160px; width:200px\" \/><\/p>\r\n\r\n<p>\ud544\ud130\ub9c1\ub41c \uc774\ubbf8\uc9c0\uc758 \ud06c\uae30\ub294 4&nbsp;&times; 3\uc774\uace0, \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter2.gif\" style=\"height:110px; width:150px\" \/><\/p>\r\n\r\n<p>\uac00\uc7a5 \uc67c\ucabd \uc717 \ud589\uc5d0 \ud544\ud130\ub97c \ub450\uace0, \uc624\ub978\ucabd\uc73c\ub85c \uc6c0\uc9c1\uc774\uba74\uc11c \uc911\uc559\uac12\uc744 \ucc3e\ub294\ub2e4. \ud55c \ud589\uc744 \ubaa8\ub450 \uc774\ub3d9\ud588\uc73c\uba74, \ub2e4\uc74c \ud589\uc73c\ub85c \uc774\ub3d9\ud574 \ub2e4\uc2dc \uc911\uc559\uac12\uc744 \ucc3e\ub294\ub2e4. \uc544\ub798\uc640 \uac19\uc740 \uc21c\uc11c\ub97c \uac00\uc9c4\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter3.gif\" style=\"height:160px; width:460px\" \/><\/p>\r\n\r\n<p>\uc704\uc758 \uadf8\ub9bc\uc5d0\uc11c \uac01\uac01\uc758 \uc911\uc559\uac12\uc740 36, 36, 21\uc774 \ub41c\ub2e4. \uc774 \uac12\uc740 \ud544\ud130\ub9c1\ub41c \uc774\ubbf8\uc9c0 J\uc758 \uccab \ud589\uacfc \uac19\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc774\ubbf8\uc9c0 I\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ud544\ud130\ub9c1 \ub41c \uc774\ubbf8\uc9c0 J\ub97c \uad6c\ud558\uace0, \uac12\uc774 T\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc740 \ud53d\uc140\uc758 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, T = 40\uc77c \ub54c, \uc704\uc758 \uc608\uc5d0\uc11c \uc815\ub2f5\uc740 7\uc774\ub2e4.&nbsp;<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc774\ubbf8\uc9c0\uc758 \ud06c\uae30 R\uacfc C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c R\uac1c\uc758 \uac01 \uc904\uc5d0\ub294 C\uac1c\uc758 \ud53d\uc140 \uac12\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 T\uac12\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud544\ud130\ub9c1 \ub41c \uc774\ubbf8\uc9c0 J\uc758 \uac01 \ud53d\uc140 \uac12 \uc911\uc5d0\uc11c T\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc740 \uac83\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1895","problem_lang":"1","title":"Filter","description":"<p>The median of 9 numbers is the fifth number when the numbers are arranged in either increasing or decreasing order. For example, the median of the 9 numbers 1, 3, 4, 1, 2, 6, 8, 4, 10 is 4 because 1 &lt;= 1 &lt;= 2 &lt;= 3 &lt;= 4 &lt;= 4 &lt;= 6 &lt;= 8 &lt;= 10.&nbsp;<\/p>\r\n\r\n<p>An image I is a two dimensional R &times; C array of pixels, 3 &lt;= R &lt;= 40, 3 &lt;= C &lt;= 40. A pixel has an integer grey level value V, 0 &lt;= V &lt;= 255.&nbsp;<\/p>\r\n\r\n<p>Median filter is an image processing operation to remove noise. The filter can be implemented by moving a 3 &times; 3 window over the image and finding the median of the 9 pixel values covered by the 3 &times; 3 window.&nbsp;<\/p>\r\n\r\n<p>For example, given the 6 &times; 5 image&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter1.gif\" style=\"height:160px; opacity:0.9; width:200px\" \/><\/p>\r\n\r\n<p>the 4 &times; 3 filtered image is&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter2.gif\" style=\"height:110px; width:150px\" \/><\/p>\r\n\r\n<p>You can easily check that as the 3 &times; 3 window moves along the top row from left to right, the three window contents are as shown below (the boundaries of the 3 &times; 3 window are shown via thick lines)&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/filter3.gif\" style=\"height:160px; width:460px\" \/><\/p>\r\n\r\n<p>The corresponding medians for these positions of the 3 &times; 3 windows are 36, 36 and 21 respectively; hence they constitute the top row of the filtered image J. The pixel values of the other rows of the filtered image J can be found similarly.&nbsp;<\/p>\r\n\r\n<p>Write a program to output an integer which is the number of pixels in the filtered image J whose values are greater than or equal to a threshold T.&nbsp;<\/p>\r\n\r\n<p>For the threshold T = 40, the program should output 7 for the above example because there are 7 pixels in the filtered image J whose values are larger than or equal to T.&nbsp;<\/p>\r\n","input":"<p>The input consists of R + 2 lines. The first line contains the two integers R (the number of rows) and C (the number of columns) separated by a blank. The subsequent R lines contain the image: each line contains C pixel values, with a single blank between two adjacent pixel values. The last line contains the single integer T, the threshold value.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","output":"<p>The output contains a single integer, which is the number of pixels in the filtered image J whose values are larger than or equal to the threshold.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]