시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

서울의 교통 정체를 해소하기 위해서 김상근 시장은 전차를 도입했다. 전차의 좌석은 N행 2열로 이루어진 격자 형태이다. 행은 1부터 N까지 번호가 매겨져 있고, 열은 1과 2로 번호가 매겨져 있다.

두 좌석 (RA, CA)와 (RB, CB) 사이의 거리는 각 정사각형의 중이 떨어진 거리로 \(\sqrt{(R_A-R_B)^{2}+(C_A-C_B)^{2}}\) 이다.

대부분의 사람들은 대중 교통을 이용할 때, 다른 승객들과 되도록 멀리 떨어져서 앉으려고 한다. 즉, 승객이 전차 안에 들어서면 각각의 빈 자리에 대해서 그 자리와 가장 가까운 사람이 앉아있는 자리와의 거리를 계산하고, 그 값이 가장 큰 자리에 앉게 된다. 그러한 자리가 여러개인 경우에는 행의 번호가 작은 자리에 앉고, 행의 번호가 작은 자리도 여러개라면 열의 번호가 작은 자리에 앉게 된다. 자리를 한 번 앉으면 열차에서 내릴때까지 계속 그 자리에 앉아있게 된다. 열차가 비어있는 경우에 탑승한 승객은 1행 1열 자리에 앉게 된다.

전차에 탑승한 승객의 하차한 승객의 정보가 주어진다. 이 때, 각 승객이 어떤 자리에 앉는지 구하는 프로그램을 작성하시오.

정보는 총 M줄로 이루어져 있으며, 입력으로 주어진 순서대로 1번부터 M번이다. 총 두 종류의 정보가 존재하며, 'E'는 전차에 탑승한 정보, 'L'은 전차에서 하차한 정보이다. 하차한 정보가 주어질 때는, 몇 번째 정보에서 탑승한 손님인지도 함께 주어진다.

승객이 탑승하는 정보가 주어질 때는 빈 자리가 적어도 하나 있는 데이터만 입력으로 주어진다.

입력

첫째 줄에 행의 수 N과 정보의 수 M이 주어진다. (1 ≤ N ≤ 150,000, 1 ≤ M ≤ 30,000) 다음 M개 줄에는 승객의 탑승 및 하차 정보가 주어진다. 'L'이 주어진 경우에는 PK (1 ≤ PK ≤ K)가 함께 주어지며, PK번째 정보에서 탑승한 손님이 내린다는 뜻이다. 항상 PK번째 정보는 'E'이며, 한 승객이 두 번 내리는 경우는 없다.

출력

'E'가 입력으로 주어질 때 마다 그 승객이 앉은 자리를 출력한다.

예제 입력 1

3 7
E
E
E
L 2
E
L 1
E

예제 출력 1

1 1
3 2
1 2
3 1
1 1

예제 입력 2

13 9
E
E
E
E
E
E
E
E
E

예제 출력 2

1 1
13 2
7 1
4 2
10 1
2 2
3 1
5 1
6 2

예제 입력 3

10 9
E
E
E
E
L 3
E
E
L 6
E

예제 출력 3

1 1
10 2
5 2
7 1
4 2
2 2
4 1
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(1 &le; N &le; 150,000, 1 &le; M &le; 30,000) \ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 \uc2b9\uac1d\uc758 \ud0d1\uc2b9 \ubc0f \ud558\ucc28 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. &#39;L&#39;\uc774 \uc8fc\uc5b4\uc9c4 \uacbd\uc6b0\uc5d0\ub294 P<sub>K<\/sub> (1 &le; P<sub>K<\/sub> &le; K)\uac00 \ud568\uaed8 \uc8fc\uc5b4\uc9c0\uba70, P<sub>K<\/sub>\ubc88\uc9f8 \uc815\ubcf4\uc5d0\uc11c \ud0d1\uc2b9\ud55c \uc190\ub2d8\uc774 \ub0b4\ub9b0\ub2e4\ub294 \ub73b\uc774\ub2e4. \ud56d\uc0c1 P<sub>K<\/sub>\ubc88\uc9f8 \uc815\ubcf4\ub294 &#39;E&#39;\uc774\uba70, \ud55c \uc2b9\uac1d\uc774 \ub450 \ubc88 \ub0b4\ub9ac\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>&#39;E&#39;\uac00 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c8 \ub54c \ub9c8\ub2e4 \uadf8 \uc2b9\uac1d\uc774 \uc549\uc740 \uc790\ub9ac\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9281","problem_lang":"1","title":"Tram","description":"<p>Seats in a new tram operating in Zagreb are organized into a grid consisting of N rows numbered 1 through N and two columns numbered 1 and 2. The distance between two seats, one at row R<sub>A<\/sub>, column C<sub>A<\/sub> and other at row R<sub>B<\/sub>, column C<sub>B<\/sub> is the Euclidean distance between the centers of the corresponding grid squares &ndash; namely \\(\\sqrt{(R_A-R_B)^{2}+(C_A-C_B)^{2}}\\).<\/p>\r\n\r\n<p>Most passengers prefer solitude when using public transportation and they always try to choose a seat that is as far away from other passengers as possible. More precisely, when a passenger enters the tram he or she will choose a free seat whose distance from the closest occupied seat is the highest possible. If there is more than one such seat, they will always choose one with the lower row number and if there is still more than one such seat, they will choose the one with the lower column number. After the passenger chooses a seat, he or she will sit there until leaving the tram. If the tram is empty, the next passenger to enter will always choose the seat in row 1 and column 1.<\/p>\r\n\r\n<p>Write a program that will, given a sequence of events, each event either a passenger entering or leaving the tram, determine where each of the passengers was sitting. The tram is initially empty.<\/p>\r\n\r\n<p>There are M events in the input numbered 1 through M in the order in which they occurred. There are two kinds of events: event of type &quot;E&quot;&nbsp;corresponds to a passenger entering the tram, while the event of type &quot;L&quot; corresponds to a passenger leaving the tram. For an event of type &quot;L&quot;, an integer P is also given &ndash; it specifies that the passenger leaving in this event is the one that entered at event P.<\/p>\r\n\r\n<p>Test data will be such that there will always be at least one free seat in the tram whenever a passenger is trying to enter.<\/p>\r\n","input":"<p>The first line of input contains two integers N and M (1 &le; N &le; 150 000, 1 &le; M &le; 30 000), the number of rows in the tram and the number of events. The following M lines contain the description of the events, K-th of those M lines contains the description of event K &ndash; either the character &quot;E&quot;, or the character &quot;L&quot; followed by a single space and the integer P<sub>K<\/sub> (1 &le; P<sub>K<\/sub> &lt; K). Each P<sub>K<\/sub> will be valid &ndash; event P<sub>K<\/sub> is of type &quot;E&quot; and no passenger will try to leave twice.<\/p>\r\n","output":"<p>The number of lines in the output should be equal to the number of events of type &quot;E&quot; in the input. For each event of type &#39;E&#39;, in the order in which they occurred, output on a single line the row and the column number of the seat chosen by the passenger, separated by a single space.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]