시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 655 116 73 29.918%

문제

트럭을 타고 이동하던 중에 상근이는 휴식을 취하기 위해서 호수에 잠시 들렸다. 호수에는 개구리가 살고 있고, 개구리는 호수 위에 떠있는 식물 N개를 점프하면서 다닌다. 오래된 전설에 따르면 개구리에게 키스를 하면 개구리는 아름다운 공주로 변한다고 한다. 일단 개구리를 잡아야 전설이 사실인지 아닌지 확인할 수 있다. 개구리를 잡아보자.

호수는 2차원 평면으로 생각할 수 있고, 식물은 그 평면 위의 점으로 나타낼 수 있다. (x, y)위에 있는 개구리는 아래 네 가지 방향 중 한 방향으로 점프할 수 있다.

  1. 임의의 양의 정수 P에 대해서, (x+P, y+P)로 점프할 수 있다. 이 방향을 A라고 한다.
  2. 임의의 양의 정수 P에 대해서, (x+P, y-P)로 점프할 수 있다. 이 방향을 B라고 한다.
  3. 임의의 양의 정수 P에 대해서, (x-P, y+P)로 점프할 수 있다. 이 방향을 C라고 한다.
  4. 임의의 양의 정수 P에 대해서, (x-P, y-P)로 점프할 수 있다. 이 방향을 D라고 한다.

개구리는 네 방향 중 한 방향을 고른다. 그 다음 그 방향에 있는 가장 가까운 식물로 점프를 한다. 만약, 고른 방향에 식물이 없다면, 개구리는 그 위치에 그대로 있는다. 개구리가 점프를 하고 난 이후에, 원래 있던 식물은 호수로 가라앉게되고 사라진다.

상근이는 식물의 위치와 개구리가 고른 방향을 모두 알고 있다. 상근이는 개구리의 점프가 끝나는 꽃의 좌표를 알아낸 다음, 거기서 개구리를 잡으려고 한다.

개구리의 점프가 끝나는 식물의 위치는 어디일까?

입력

첫째 줄에 식물의 수 N과 점프의 수 K가 주어진다. (1 ≤ N, K ≤ 100,000)

둘째 줄에는 개구리가 고른 방향 K개가 주어진다. 이 방향은 'A','B','C','D'로만 이루어져 있다.

셋째 줄부터 N개 줄에는 식물의 좌표가 X, Y가 주어진다. (0 ≤ X, Y ≤ 1,000,000,000) 처음으로 주어지는 식물에 개구리가 있다.

출력

개구리의 점프가 끝나는 식물의 좌표를 출력한다.

예제 입력 1

7 5
ACDBB
5 6
8 9
4 13
1 10
7 4
10 9
3 7

예제 출력 1

7 4
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(1 &le; N, K &le; 100,000)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uac1c\uad6c\ub9ac\uac00 \uace0\ub978 \ubc29\ud5a5 K\uac1c\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \ubc29\ud5a5\uc740 &#39;A&#39;,&#39;B&#39;,&#39;C&#39;,&#39;D&#39;\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\ubd80\ud130 N\uac1c \uc904\uc5d0\ub294 \uc2dd\ubb3c\uc758 \uc88c\ud45c\uac00 X, Y\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &le; X, Y &le; 1,000,000,000) \ucc98\uc74c\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \uc2dd\ubb3c\uc5d0 \uac1c\uad6c\ub9ac\uac00 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac1c\uad6c\ub9ac\uc758 \uc810\ud504\uac00 \ub05d\ub098\ub294 \uc2dd\ubb3c\uc758 \uc88c\ud45c\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2983","problem_lang":"1","title":"PRINCEZA","description":"<p>Luka parked his truck near the lake. The lake is inhabited by the frog Barica, who jumps across N plants floating on the lake&#39;s surface. Knowing a fair number of folk tales, Luka knows that if he kisses Barica, she will turn into a beautiful princess. However, he needs to catch her first!&nbsp;<\/p>\r\n\r\n<p>Assuming an aerial view, the position of a plant on the lake&#39;s surface can be defined with a pair of coordinates. From plant (x, y) Barica can jump:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>To plant (x+P, y+P), for any positive integer P. Call this direction A.&nbsp;<\/li>\r\n\t<li>To plant (x+P, y&minus;P), for any positive integer P. Call this direction B.&nbsp;<\/li>\r\n\t<li>To plant (x&minus;P, y+P), for any positive integer P. Call this direction C.&nbsp;<\/li>\r\n\t<li>To plant (x&minus;P, y&minus;P), for any positive integer P. Call this direction D.&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Barica selects one of the four directions and jumps onto the first plant in the chosen direction. 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These letters represent in order the directions in which Barica attempts to jump.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains two integers X and Y (0 &le; X &le; 1 000 000 000, 0 &le; Y &le; 1000000000), the coordinates of one plant. Barica is initially located on the first plant.&nbsp;<\/p>\r\n","output":"<p>Output Barica&#39;s final coordinates.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]