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문제

학생들은 몸이 약해지지 않도록 무술을 연마한다. 그 중에 대표적인 것으로 활쏘기 연습을 꼽을 수 있다. 한 가지 특이한 점은, 이 활쏘기 연습에 특별한 과녁이 동원되지 않는다는 것이다. 대신, 여러분의 동료가 과녁이 된다!

학생들은 두 줄로 길게 늘어서 있다. 그리고 각 학생들은 반대편 줄 쪽에 서 있는 친구 중 한 명을 바라보고 있다. 다소 충격적일 수는 있지만, 활시위를 당길 준비를 하고 있는 것이다.

그러나 연습은 어디까지나 연습일 뿐이므로, 중간에 다치는 사람이 있어서는 안 된다. 따라서 학생들 중 몇몇은 활 대신 방패를 들어야만 한다. 나머지 학생들을 예정대로 활을 든다. 활쏘기 연습을 위해서.

두 줄로 늘어선 학생들이, 각각 반대편의 어떤 학생을 바라보고 있는지 주어질 때, 각 학생들이 활을 들어야 하는지 혹은 방패를 들어야 하는지를 알아내는 프로그램을 작성하시오.

단, 쓸데없이 방패를 드는 학생이 있어서는 안 된다. 즉 방패를 드는 학생은, 반드시 활을 든 반대편의 학생 중 한 명으로부터 조준당하고 있어야 한다.

입력

첫째 줄에 두 자연수 m, n이 주어진다. (1 ≤ m, n ≤ 50,000) 한쪽 줄에 m명의 학생이, 반대편 줄에 n명의 학생이 서 있다는 의미이다.

학생들이 늘어선 두 개의 줄을 각각 A, B라고 하자. A줄에 늘어선 m 명의 학생은 1∼m까지 차례로 번호가 붙어 있고, B 줄에 늘어선 n 명의 학생은 n명의 학생은 1∼n까지 차례로 번호가 붙어 있다.

두 번째 줄에는 m개의 수가 주어지는데, k번째 수는 A줄의 k번 학생이 바라보고 있는 B줄의 학생 번호이다. 세 번째 줄에는 마찬가지의 방식으로, B줄의 각 학생이 바라보고 있는 A줄의 학생 번호가 주어진다.

출력

첫째 줄에는 A줄의 각 학생들이 활을 들어야 하는지, 방패를 들어야 하는지를 하나의 문자열로 출력한다. k번째 문자가 1이면 k번 학생이 활을 들어야 한다는 의미이고, 0이면 방패를 들어야 한다는 의미이다. 둘째 줄에는 마찬가지의 방식으로, B줄의 각 학생들이 활을 들어야 하는지 방패를 들어야 하는지를 출력한다.

예제 입력 1

4 5
3 5 2 5
4 4 4 1 3

예제 출력 1

0110
10110
[{"problem_id":"1803","problem_lang":"0","title":"\ubb34\uc220 \uc5f0\uc2b5","description":"<p>\ud559\uc0dd\ub4e4\uc740 \ubab8\uc774 \uc57d\ud574\uc9c0\uc9c0 \uc54a\ub3c4\ub85d \ubb34\uc220\uc744 \uc5f0\ub9c8\ud55c\ub2e4. \uadf8 \uc911\uc5d0 \ub300\ud45c\uc801\uc778 \uac83\uc73c\ub85c \ud65c\uc3d8\uae30 \uc5f0\uc2b5\uc744 \uaf3d\uc744 \uc218 \uc788\ub2e4. \ud55c \uac00\uc9c0 \ud2b9\uc774\ud55c \uc810\uc740, \uc774 \ud65c\uc3d8\uae30 \uc5f0\uc2b5\uc5d0 \ud2b9\ubcc4\ud55c \uacfc\ub141\uc774 \ub3d9\uc6d0\ub418\uc9c0 \uc54a\ub294\ub2e4\ub294 \uac83\uc774\ub2e4. \ub300\uc2e0, \uc5ec\ub7ec\ubd84\uc758 \ub3d9\ub8cc\uac00 \uacfc\ub141\uc774 \ub41c\ub2e4!<\/p>\r\n\r\n<p>\ud559\uc0dd\ub4e4\uc740 \ub450 \uc904\ub85c \uae38\uac8c \ub298\uc5b4\uc11c \uc788\ub2e4. \uadf8\ub9ac\uace0 \uac01 \ud559\uc0dd\ub4e4\uc740 \ubc18\ub300\ud3b8 \uc904 \ucabd\uc5d0 \uc11c \uc788\ub294 \uce5c\uad6c \uc911 \ud55c \uba85\uc744 \ubc14\ub77c\ubcf4\uace0 \uc788\ub2e4. \ub2e4\uc18c \ucda9\uaca9\uc801\uc77c \uc218\ub294 \uc788\uc9c0\ub9cc, \ud65c\uc2dc\uc704\ub97c \ub2f9\uae38 \uc900\ube44\ub97c \ud558\uace0 \uc788\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub7ec\ub098 \uc5f0\uc2b5\uc740 \uc5b4\ub514\uae4c\uc9c0\ub098 \uc5f0\uc2b5\uc77c \ubfd0\uc774\ubbc0\ub85c, \uc911\uac04\uc5d0 \ub2e4\uce58\ub294 \uc0ac\ub78c\uc774 \uc788\uc5b4\uc11c\ub294 \uc548 \ub41c\ub2e4. \ub530\ub77c\uc11c \ud559\uc0dd\ub4e4 \uc911 \uba87\uba87\uc740 \ud65c \ub300\uc2e0 \ubc29\ud328\ub97c \ub4e4\uc5b4\uc57c\ub9cc \ud55c\ub2e4. \ub098\uba38\uc9c0 \ud559\uc0dd\ub4e4\uc744 \uc608\uc815\ub300\ub85c \ud65c\uc744 \ub4e0\ub2e4. \ud65c\uc3d8\uae30 \uc5f0\uc2b5\uc744 \uc704\ud574\uc11c.<\/p>\r\n\r\n<p>\ub450 \uc904\ub85c \ub298\uc5b4\uc120 \ud559\uc0dd\ub4e4\uc774, \uac01\uac01 \ubc18\ub300\ud3b8\uc758 \uc5b4\ub5a4 \ud559\uc0dd\uc744 \ubc14\ub77c\ubcf4\uace0 \uc788\ub294\uc9c0 \uc8fc\uc5b4\uc9c8 \ub54c, \uac01 \ud559\uc0dd\ub4e4\uc774 \ud65c\uc744 \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0 \ud639\uc740 \ubc29\ud328\ub97c \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0\ub97c \uc54c\uc544\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\ub2e8, \uc4f8\ub370\uc5c6\uc774 \ubc29\ud328\ub97c \ub4dc\ub294 \ud559\uc0dd\uc774 \uc788\uc5b4\uc11c\ub294 \uc548 \ub41c\ub2e4. \uc989 \ubc29\ud328\ub97c \ub4dc\ub294 \ud559\uc0dd\uc740, \ubc18\ub4dc\uc2dc \ud65c\uc744 \ub4e0 \ubc18\ub300\ud3b8\uc758 \ud559\uc0dd \uc911 \ud55c \uba85\uc73c\ub85c\ubd80\ud130 \uc870\uc900\ub2f9\ud558\uace0 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub450 \uc790\uc5f0\uc218 m, n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; m, n &le; 50,000) \ud55c\ucabd \uc904\uc5d0 m\uba85\uc758 \ud559\uc0dd\uc774, \ubc18\ub300\ud3b8 \uc904\uc5d0 n\uba85\uc758 \ud559\uc0dd\uc774 \uc11c \uc788\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud559\uc0dd\ub4e4\uc774 \ub298\uc5b4\uc120 \ub450 \uac1c\uc758 \uc904\uc744 \uac01\uac01 A, B\ub77c\uace0 \ud558\uc790. A\uc904\uc5d0 \ub298\uc5b4\uc120 m \uba85\uc758 \ud559\uc0dd\uc740 1&sim;m\uae4c\uc9c0 \ucc28\ub840\ub85c \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\uace0, B \uc904\uc5d0 \ub298\uc5b4\uc120 n \uba85\uc758 \ud559\uc0dd\uc740 n\uba85\uc758 \ud559\uc0dd\uc740 1&sim;n\uae4c\uc9c0 \ucc28\ub840\ub85c \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 m\uac1c\uc758 \uc218\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370, k\ubc88\uc9f8 \uc218\ub294 A\uc904\uc758 k\ubc88 \ud559\uc0dd\uc774 \ubc14\ub77c\ubcf4\uace0 \uc788\ub294 B\uc904\uc758 \ud559\uc0dd \ubc88\ud638\uc774\ub2e4. \uc138 \ubc88\uc9f8 \uc904\uc5d0\ub294 \ub9c8\ucc2c\uac00\uc9c0\uc758 \ubc29\uc2dd\uc73c\ub85c, B\uc904\uc758 \uac01 \ud559\uc0dd\uc774 \ubc14\ub77c\ubcf4\uace0 \uc788\ub294 A\uc904\uc758 \ud559\uc0dd \ubc88\ud638\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 A\uc904\uc758 \uac01 \ud559\uc0dd\ub4e4\uc774 \ud65c\uc744 \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0, \ubc29\ud328\ub97c \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0\ub97c \ud558\ub098\uc758 \ubb38\uc790\uc5f4\ub85c \ucd9c\ub825\ud55c\ub2e4. k\ubc88\uc9f8 \ubb38\uc790\uac00 1\uc774\uba74 k\ubc88 \ud559\uc0dd\uc774 \ud65c\uc744 \ub4e4\uc5b4\uc57c \ud55c\ub2e4\ub294 \uc758\ubbf8\uc774\uace0, 0\uc774\uba74 \ubc29\ud328\ub97c \ub4e4\uc5b4\uc57c \ud55c\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 \ub9c8\ucc2c\uac00\uc9c0\uc758 \ubc29\uc2dd\uc73c\ub85c, B\uc904\uc758 \uac01 \ud559\uc0dd\ub4e4\uc774 \ud65c\uc744 \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0 \ubc29\ud328\ub97c \ub4e4\uc5b4\uc57c \ud558\ub294\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"1803","problem_lang":"1","title":"Teleports","description":"<p>Great sorcerer Byter created two islands on the Baltic See: Bornholm and Gotland. On each island he has installed some magical teleports. Each teleport can work in one of two modes:<\/p>\r\n\r\n<ul>\r\n\t<li>receiving--one can be teleported to it,<\/li>\r\n\t<li>sending--anyone who enters the teleport is transfered to the specific destination teleport on the other island, provided that the other teleport is in the receiving mode.<\/li>\r\n<\/ul>\r\n\r\n<p>Once, Byter gave his apprentices the following task: they must set the teleports&#39; modes in such a way, that no teleport is useless, i.e. for each teleport set in the receiving mode there must be at least one teleport sending to it, set in the sending mode; and vice versa, for each teleport set in the sending mode, the destination teleport must be set in the receiving mode.<\/p>\r\n\r\n<p>Write a program that:<\/p>\r\n\r\n<ul>\r\n\t<li>reads the description of the teleports on both islands, form the input file tel.in,<\/li>\r\n\t<li>determines the appropriate modes for teleports,<\/li>\r\n\t<li>writes the result to the output file tel.out.<\/li>\r\n<\/ul>\r\n\r\n<p>If there are several possible solutions, your program should output just one of them.<\/p>\r\n","input":"<p>In the first line of the text file tel.in, there are two integers m and n, 1 &le; m, n &le; 50 000, separated by a single space; m is the number of teleports on Bornholm, and n is the number of teleports on Gotland. Teleports on both islands are numbered from 1 to m and n respectively. The second line of the file contains m positive integers, not greater than n, separated by single spaces--k-th of these integers is the number of the teleport on Gotland that is the destination of the teleport k on Bornholm. The third line contains analogous data for teleports on Gotland, i.e. n positive integers, not greater than m,separated by single spaces--k-th of these integers is the number of the teleport on Bornholm that is the destination of the teleport k on Gotland.<\/p>\r\n","output":"<p>Your program should write two lines describing the modes of the teleports, respectively, on Bornholm and Gotland, to the output file tel.out. Both lines should contain a string of, respectively, m or n ones and\/or zeros. If the k-th character in the string is 1, then the k-th teleport is in the sending mode, and if it is 0, than the corresponding teleport is in the receiving mode.<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/upload\/images\/tel1.gif\" style=\"height:200px; width:218px\" \/><img alt=\"\" src=\"\/upload\/images\/tel2.gif\" style=\"height:200px; width:219px\" \/><\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Baltic Olympiad in Informatics > BOI 2001 6번

Contest > Algorithmic Engagements > PA 2001 6-3번