시간 제한메모리 제한제출정답맞은 사람정답 비율
1 초 128 MB326538.462%

문제

보섭이는 컴퓨터 구조와 논리 숙제로 작은 프로세서를 디자인했다. 이 프로세서는 총 N개의 레지스터를 가지고 있고, 1번부터 N번까지 번호가 매겨져 있다. 각 레지스터는 unsigned 32비트 정수를 일반적인 이진수 형태로 저장하고 있다. (0 ~ 232-1) 프로세서는 다음과 같은 두 가지 명령을 수행할 수 있다.

명령어 설명 예제
1 K M 레지스터 K에 저장되어 있는 비트를 M만큼 오른쪽으로 회전시킨다음 다시 K에 저장한다. 00000000000000000010001111111011 → (M = 1010) → 11111110110000000000000000001000
(10진법: 9211 → (M = 10) → 4273995784)
2 K L 레지스터 KL에 저장되어 있는 값을 XOR시킨 다음, 시스템 버스로 결과를 출력한다. 00000000000000000000001111000111 XOR 00000000000001111100000000000111 = 00000000000001111100001111000000
(10진법: 967 XOR 507911 = 508864)

보섭이는 이미 프로세서를 만들었다. 하지만, 가장 중요한 연산인 레지스터에 저장된 값을 읽는 명령을 만들지 않았다는 사실을 알게 되었다. 특정 레지스터에 저장된 값을 알기 위해서는 1번과 2번 연산을 적절히 수행해서 알아내는 방법밖에 없다. 보섭이가 명령을 수행시킨 순서와 2번 연산의 출력값이 주어졌을 때, 처음에 레지스터에 저장되어 있는 값을 구하는 프로그램을 작성하시오.

만약, 레지스터의 초기값이 여러 가지가 있다면, 사전순으로 가장 작은 것을 구한다.

입력

첫째 줄에 레지스터의 수 N과 프로세서가 수행한 명령의 수 E가 주어진다. (2 ≤ N ≤ 100,000, 1 ≤ E ≤ 100,000)

다음 줄에는 프로세서가 수행한 연산이 하나씩 주어진다. 모든 명령은 올바른 명령이고 1 ≤ K, L ≤ N, 0 ≤ M < 32를 만족한다. 2번 명령이 주어진 경우에 다음 줄에는 시스템 버스가 출력한 결과가 10진수로 주어진다.

출력

첫째 줄에 N개 레지스터의 초기값을 공백으로 구분하여 1번 레지스터부터 출력한다.

만약, 그러한 결과를 출력하는 레지스터의 초기값이 없는 경우에는 -1을 출력한다.

예제 입력 1

3 3
2 1 2
1
2 1 3
2
2 2 3
3

예제 출력 1

0 1 2

예제 입력 2

4 6
2 4 2
3
2 4 1
6
1 3 1
2 3 1
2
1 2 2
2 2 3
7

예제 출력 2

5 0 14 3

예제 입력 3

5 6
2 4 2
10
2 5 3
2
2 2 3
1
2 1 4
3
1 3 1
2 3 4
2147483663

예제 출력 3

15 6 7 12 5
[{"problem_id":"3081","problem_lang":"0","title":"\ud504\ub85c\uc138\uc11c \ub514\uc790\uc778","description":"<p>\ubcf4\uc12d\uc774\ub294 \ucef4\ud4e8\ud130 \uad6c\uc870\uc640 \ub17c\ub9ac \uc219\uc81c\ub85c \uc791\uc740 \ud504\ub85c\uc138\uc11c\ub97c \ub514\uc790\uc778\ud588\ub2e4. \uc774 \ud504\ub85c\uc138\uc11c\ub294 \ucd1d N\uac1c\uc758 \ub808\uc9c0\uc2a4\ud130\ub97c \uac00\uc9c0\uace0 \uc788\uace0, 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uac01 \ub808\uc9c0\uc2a4\ud130\ub294 unsigned 32\ube44\ud2b8 \uc815\uc218\ub97c \uc77c\ubc18\uc801\uc778 \uc774\uc9c4\uc218 \ud615\ud0dc\ub85c \uc800\uc7a5\ud558\uace0 \uc788\ub2e4. (0 ~ 2<sup>32<\/sup>-1) \ud504\ub85c\uc138\uc11c\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \uba85\ub839\uc744 \uc218\ud589\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:10%\">\uba85\ub839\uc5b4<\/th>\r\n\t\t\t<th style=\"width:25%\">\uc124\uba85<\/th>\r\n\t\t\t<th style=\"width:65%\">\uc608\uc81c<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1 <strong>K M<\/strong><\/td>\r\n\t\t\t<td>\ub808\uc9c0\uc2a4\ud130 <strong>K<\/strong>\uc5d0 \uc800\uc7a5\ub418\uc5b4 \uc788\ub294 \ube44\ud2b8\ub97c <strong>M<\/strong>\ub9cc\ud07c \uc624\ub978\ucabd\uc73c\ub85c \ud68c\uc804\uc2dc\ud0a8\ub2e4\uc74c \ub2e4\uc2dc <strong>K<\/strong>\uc5d0 \uc800\uc7a5\ud55c\ub2e4.<\/td>\r\n\t\t\t<td>00000000000000000010001111111011 &rarr; (<strong>M<\/strong> = 1010) &rarr; 11111110110000000000000000001000<br \/>\r\n\t\t\t(10\uc9c4\ubc95: 9211 &rarr; (<strong>M<\/strong> = 10) &rarr; 4273995784)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2 <strong> K L<\/strong><\/td>\r\n\t\t\t<td>\ub808\uc9c0\uc2a4\ud130 <strong>K<\/strong>\uc640 <strong>L<\/strong>\uc5d0 \uc800\uc7a5\ub418\uc5b4 \uc788\ub294 \uac12\uc744 XOR\uc2dc\ud0a8 \ub2e4\uc74c, \uc2dc\uc2a4\ud15c \ubc84\uc2a4\ub85c \uacb0\uacfc\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/td>\r\n\t\t\t<td>00000000000000000000001111000111 XOR 00000000000001111100000000000111 = 00000000000001111100001111000000<br \/>\r\n\t\t\t(10\uc9c4\ubc95: 967 XOR 507911 = 508864)<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\ubcf4\uc12d\uc774\ub294 \uc774\ubbf8 \ud504\ub85c\uc138\uc11c\ub97c \ub9cc\ub4e4\uc5c8\ub2e4. \ud558\uc9c0\ub9cc, \uac00\uc7a5 \uc911\uc694\ud55c \uc5f0\uc0b0\uc778 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c \uac12\uc744 \uc77d\ub294 \uba85\ub839\uc744 \ub9cc\ub4e4\uc9c0 \uc54a\uc558\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uc54c\uac8c \ub418\uc5c8\ub2e4. \ud2b9\uc815 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c \uac12\uc744 \uc54c\uae30 \uc704\ud574\uc11c\ub294 1\ubc88\uacfc 2\ubc88 \uc5f0\uc0b0\uc744 \uc801\uc808\ud788 \uc218\ud589\ud574\uc11c \uc54c\uc544\ub0b4\ub294 \ubc29\ubc95\ubc16\uc5d0 \uc5c6\ub2e4. \ubcf4\uc12d\uc774\uac00 \uba85\ub839\uc744 \uc218\ud589\uc2dc\ud0a8 \uc21c\uc11c\uc640 2\ubc88 \uc5f0\uc0b0\uc758 \ucd9c\ub825\uac12\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucc98\uc74c\uc5d0 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub418\uc5b4 \uc788\ub294 \uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \ub808\uc9c0\uc2a4\ud130\uc758 \ucd08\uae30\uac12\uc774 \uc5ec\ub7ec \uac00\uc9c0\uac00 \uc788\ub2e4\uba74, \uc0ac\uc804\uc21c\uc73c\ub85c \uac00\uc7a5 \uc791\uc740 \uac83\uc744 \uad6c\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub808\uc9c0\uc2a4\ud130\uc758 \uc218 N\uacfc \ud504\ub85c\uc138\uc11c\uac00 \uc218\ud589\ud55c \uba85\ub839\uc758 \uc218 E\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N &le; 100,000, 1 &le; E &le; 100,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0\ub294 \ud504\ub85c\uc138\uc11c\uac00 \uc218\ud589\ud55c \uc5f0\uc0b0\uc774 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uba85\ub839\uc740 \uc62c\ubc14\ub978 \uba85\ub839\uc774\uace0 1 &le; K, L &le; N, 0 &le; M &lt; 32\ub97c \ub9cc\uc871\ud55c\ub2e4. 2\ubc88 \uba85\ub839\uc774 \uc8fc\uc5b4\uc9c4 \uacbd\uc6b0\uc5d0 \ub2e4\uc74c \uc904\uc5d0\ub294 \uc2dc\uc2a4\ud15c \ubc84\uc2a4\uac00 \ucd9c\ub825\ud55c \uacb0\uacfc\uac00 10\uc9c4\uc218\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 N\uac1c \ub808\uc9c0\uc2a4\ud130\uc758 \ucd08\uae30\uac12\uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec 1\ubc88 \ub808\uc9c0\uc2a4\ud130\ubd80\ud130 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \uadf8\ub7ec\ud55c \uacb0\uacfc\ub97c \ucd9c\ub825\ud558\ub294 \ub808\uc9c0\uc2a4\ud130\uc758 \ucd08\uae30\uac12\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 -1\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3081","problem_lang":"1","title":"PROCESOR","description":"<p>Mirko has received an interesting homework assignment: to design his own little processor (Mirkoprocessor). The processor has N registers with indices from 1 to N, and each register holds one unsigned 32-bit integer in the usual binary format (the possible values range from 0 to 2<sup>32<\/sup> - 1).<\/p>\r\n\r\n<p>The processor is capable of executing the following instruction types:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:10%\">Instruction type<\/th>\r\n\t\t\t<th style=\"width:25%\">Description<\/th>\r\n\t\t\t<th style=\"width:65%\">Example<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1 <strong>K M<\/strong><\/td>\r\n\t\t\t<td>Rotate the bits of register K by M positions to the right; write the result back to register K.<\/td>\r\n\t\t\t<td>00000000000000000010001111111011 &rarr; (<strong>M<\/strong> = 1010) &rarr; 11111110110000000000000000001000<br \/>\r\n\t\t\t(in base 10: 9211 &rarr; (<strong>M<\/strong> = 10) &rarr; 4273995784)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2 <strong> K L<\/strong><\/td>\r\n\t\t\t<td>Compute the bitwise XOR of registers K and L; output the result to the system bus.<\/td>\r\n\t\t\t<td>00000000000000000000001111000111 XOR 00000000000001111100000000000111 = 00000000000001111100001111000000<br \/>\r\n\t\t\t(in base 10: 967 XOR 507911 = 508864)<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Mirko has already built a model of the processor, and only then realized that he&#39;d forgotten to include an operation to read the contents of a register. Now, his only option is to execute a large number of type 1 and type 2 instructions and infer the register contents from the results. Having executed a sequence of commands, he has asked you to help him derive the initial register contents consistent with the obtained results.<\/p>\r\n\r\n<p>If there are multiple possibilities for the initial register state combination, find the lexicographically smallest one. (If two combinations have equal values in the first K &ndash; 1 registers and different values in register K, the lexicographically smaller combination is the one with the smaller value in register K.)<\/p>\r\n","input":"<p>The first line of input contains two positive integers: N (2 &le; N &le; 100 000), the number of registers, and E (1 &le; E &le; 100 000), the number of executed instructions.<\/p>\r\n\r\n<p>The remaining input lines describe the instructions in the order that they were executed by Mirkoprocessor, formatted as described in the table above, one per line. All instructions are legal (the following conditions hold: 1 &le; K, L &le; N, 0 &le; M &lt; 32). Each instruction of type 2 is followed by another line containing a positive integer between 0 and 2<sup>32<\/sup> &ndash; 1, inclusive &ndash; the result of that operation (the bitwise XOR value) in base 10.<\/p>\r\n","output":"<p>The first and only line of output must contain the required N register values, separated by spaces.<\/p>\r\n\r\n<p>If there is no possible combination of initial values consistent with input, output only the number -1, to notify Mirko that his processor has a bug.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2012/2013 > Contest #3 6번