시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
6 초 256 MB 27506 7043 4333 22.218%

문제

네 개의 명령어 D, S, L, R 을 이용하는 간단한 계산기가 있다. 이 계산기에는 레지스터가 하나 있는데, 이 레지스터에는 0 이상 10,000 미만의 십진수를 저장할 수 있다. 각 명령어는 이 레지스터에 저장된 n을 다음과 같이 변환한다. n의 네 자릿수를 d1, d2, d3, d4라고 하자(즉 n = ((d1 × 10 + d2) × 10 + d3) × 10 + d4라고 하자)

  1. D: D 는 n을 두 배로 바꾼다. 결과 값이 9999 보다 큰 경우에는 10000 으로 나눈 나머지를 취한다. 그 결과 값(2n mod 10000)을 레지스터에 저장한다.
  2. S: S 는 n에서 1 을 뺀 결과 n-1을 레지스터에 저장한다. n이 0 이라면 9999 가 대신 레지스터에 저장된다.
  3. L: L 은 n의 각 자릿수를 왼편으로 회전시켜 그 결과를 레지스터에 저장한다. 이 연산이 끝나면 레지스터에 저장된 네 자릿수는 왼편부터 d2, d3, d4, d1이 된다.
  4. R: R 은 n의 각 자릿수를 오른편으로 회전시켜 그 결과를 레지스터에 저장한다. 이 연산이 끝나면 레지스터에 저장된 네 자릿수는 왼편부터 d4, d1, d2, d3이 된다.

위에서 언급한 것처럼, L 과 R 명령어는 십진 자릿수를 가정하고 연산을 수행한다. 예를 들어서 n = 1234 라면 여기에 L 을 적용하면 2341 이 되고 R 을 적용하면 4123 이 된다.

여러분이 작성할 프로그램은 주어진 서로 다른 두 정수 A와 B(A ≠ B)에 대하여 A를 B로 바꾸는 최소한의 명령어를 생성하는 프로그램이다. 예를 들어서 A = 1234, B = 3412 라면 다음과 같이 두 개의 명령어를 적용하면 A를 B로 변환할 수 있다.

1234 →L 2341 →L 3412
1234 →R 4123 →R 3412

따라서 여러분의 프로그램은 이 경우에 LL 이나 RR 을 출력해야 한다.

n의 자릿수로 0 이 포함된 경우에 주의해야 한다. 예를 들어서 1000 에 L 을 적용하면 0001 이 되므로 결과는 1 이 된다. 그러나 R 을 적용하면 0100 이 되므로 결과는 100 이 된다.

입력

프로그램 입력은 T 개의 테스트 케이스로 구성된다. 테스트 케이스 개수 T 는 입력의 첫 줄에 주어진다. 각 테스트 케이스로는 두 개의 정수 A와 B(A ≠ B)가 공백으로 분리되어 차례로 주어지는데 A는 레지스터의 초기 값을 나타내고 B는 최종 값을 나타낸다. A 와 B는 모두 0 이상 10,000 미만이다.

출력

A에서 B로 변환하기 위해 필요한 최소한의 명령어 나열을 출력한다. 가능한 명령어 나열이 여러가지면, 아무거나 출력한다.

예제 입력 1

3
1234 3412
1000 1
1 16

예제 출력 1

LL
L
DDDD
[{"problem_id":"9019","problem_lang":"0","title":"DSLR","description":"<p>\ub124 \uac1c\uc758 \uba85\ub839\uc5b4 D, S, L, R \uc744 \uc774\uc6a9\ud558\ub294 \uac04\ub2e8\ud55c \uacc4\uc0b0\uae30\uac00 \uc788\ub2e4. \uc774 \uacc4\uc0b0\uae30\uc5d0\ub294 \ub808\uc9c0\uc2a4\ud130\uac00 \ud558\ub098 \uc788\ub294\ub370, \uc774 \ub808\uc9c0\uc2a4\ud130\uc5d0\ub294 0 \uc774\uc0c1 10,000 \ubbf8\ub9cc\uc758 \uc2ed\uc9c4\uc218\ub97c \uc800\uc7a5\ud560 \uc218 \uc788\ub2e4. \uac01 \uba85\ub839\uc5b4\ub294 \uc774 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c n\uc744 \ub2e4\uc74c\uacfc \uac19\uc774 \ubcc0\ud658\ud55c\ub2e4. n\uc758 \ub124 \uc790\ub9bf\uc218\ub97c d<sub>1<\/sub>, d<sub>2<\/sub>, d<sub>3<\/sub>, d<sub>4<\/sub>\ub77c\uace0 \ud558\uc790(\uc989 n = ((d<sub>1<\/sub> &times; 10 + d<sub>2<\/sub>) &times; 10 + d<sub>3<\/sub>) &times; 10 + d<sub>4<\/sub>\ub77c\uace0 \ud558\uc790)<\/p>\r\n\r\n<ol>\r\n\t<li>D: D \ub294 n\uc744 \ub450 \ubc30\ub85c \ubc14\uafbc\ub2e4. \uacb0\uacfc \uac12\uc774 9999 \ubcf4\ub2e4 \ud070 \uacbd\uc6b0\uc5d0\ub294 10000 \uc73c\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucde8\ud55c\ub2e4. \uadf8 \uacb0\uacfc \uac12(2n mod 10000)\uc744 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ud55c\ub2e4.<\/li>\r\n\t<li>S: S \ub294 n\uc5d0\uc11c 1 \uc744 \ube80 \uacb0\uacfc n-1\uc744 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ud55c\ub2e4. n\uc774 0 \uc774\ub77c\uba74 9999 \uac00 \ub300\uc2e0 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c\ub2e4.<\/li>\r\n\t<li>L: L \uc740 n\uc758 \uac01 \uc790\ub9bf\uc218\ub97c \uc67c\ud3b8\uc73c\ub85c \ud68c\uc804\uc2dc\ucf1c \uadf8 \uacb0\uacfc\ub97c \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ud55c\ub2e4. \uc774 \uc5f0\uc0b0\uc774 \ub05d\ub098\uba74 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c \ub124 \uc790\ub9bf\uc218\ub294 \uc67c\ud3b8\ubd80\ud130 d<sub>2<\/sub>, d<sub>3<\/sub>, d<sub>4<\/sub>, d<sub>1<\/sub>\uc774 \ub41c\ub2e4.<\/li>\r\n\t<li>R: R \uc740 n\uc758 \uac01 \uc790\ub9bf\uc218\ub97c \uc624\ub978\ud3b8\uc73c\ub85c \ud68c\uc804\uc2dc\ucf1c \uadf8 \uacb0\uacfc\ub97c \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ud55c\ub2e4. \uc774 \uc5f0\uc0b0\uc774 \ub05d\ub098\uba74 \ub808\uc9c0\uc2a4\ud130\uc5d0 \uc800\uc7a5\ub41c \ub124 \uc790\ub9bf\uc218\ub294 \uc67c\ud3b8\ubd80\ud130 d<sub>4<\/sub>, d<sub>1<\/sub>, d<sub>2<\/sub>, d<sub>3<\/sub>\uc774 \ub41c\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uc704\uc5d0\uc11c \uc5b8\uae09\ud55c \uac83\ucc98\ub7fc, L \uacfc R \uba85\ub839\uc5b4\ub294 \uc2ed\uc9c4 \uc790\ub9bf\uc218\ub97c \uac00\uc815\ud558\uace0 \uc5f0\uc0b0\uc744 \uc218\ud589\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4\uc11c n = 1234 \ub77c\uba74 \uc5ec\uae30\uc5d0 L \uc744 \uc801\uc6a9\ud558\uba74 2341 \uc774 \ub418\uace0 R \uc744 \uc801\uc6a9\ud558\uba74 4123 \uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc5ec\ub7ec\ubd84\uc774 \uc791\uc131\ud560 \ud504\ub85c\uadf8\ub7a8\uc740 \uc8fc\uc5b4\uc9c4 \uc11c\ub85c \ub2e4\ub978 \ub450 \uc815\uc218 A\uc640 B(A &ne; B)\uc5d0 \ub300\ud558\uc5ec A\ub97c B\ub85c \ubc14\uafb8\ub294 \ucd5c\uc18c\ud55c\uc758 \uba85\ub839\uc5b4\ub97c \uc0dd\uc131\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4\uc11c A = 1234, B = 3412 \ub77c\uba74 \ub2e4\uc74c\uacfc \uac19\uc774 \ub450 \uac1c\uc758 \uba85\ub839\uc5b4\ub97c \uc801\uc6a9\ud558\uba74 A\ub97c B\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>1234 &rarr;<sub>L<\/sub> 2341 &rarr;<sub>L<\/sub> 3412<br \/>\r\n1234 &rarr;<sub>R<\/sub> 4123 &rarr;<sub>R<\/sub> 3412<\/p>\r\n\r\n<p>\ub530\ub77c\uc11c \uc5ec\ub7ec\ubd84\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \uc774 \uacbd\uc6b0\uc5d0 LL \uc774\ub098 RR \uc744 \ucd9c\ub825\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>n\uc758 \uc790\ub9bf\uc218\ub85c 0 \uc774 \ud3ec\ud568\ub41c \uacbd\uc6b0\uc5d0 \uc8fc\uc758\ud574\uc57c \ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4\uc11c 1000 \uc5d0 L \uc744 \uc801\uc6a9\ud558\uba74 0001 \uc774 \ub418\ubbc0\ub85c \uacb0\uacfc\ub294 1 \uc774 \ub41c\ub2e4. \uadf8\ub7ec\ub098 R \uc744 \uc801\uc6a9\ud558\uba74 0100 \uc774 \ub418\ubbc0\ub85c \uacb0\uacfc\ub294 100 \uc774 \ub41c\ub2e4.<\/p>\r\n","input":"<p>\ud504\ub85c\uadf8\ub7a8 \uc785\ub825\uc740 T \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uad6c\uc131\ub41c\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \uac1c\uc218 T \ub294 \uc785\ub825\uc758 \uccab \uc904\uc5d0 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c\ub294 \ub450 \uac1c\uc758 \uc815\uc218 A\uc640 B(A &ne; B)\uac00 \uacf5\ubc31\uc73c\ub85c \ubd84\ub9ac\ub418\uc5b4 \ucc28\ub840\ub85c \uc8fc\uc5b4\uc9c0\ub294\ub370 A\ub294 \ub808\uc9c0\uc2a4\ud130\uc758 \ucd08\uae30 \uac12\uc744 \ub098\ud0c0\ub0b4\uace0 B\ub294 \ucd5c\uc885 \uac12\uc744 \ub098\ud0c0\ub0b8\ub2e4. A \uc640 B\ub294 \ubaa8\ub450 0 \uc774\uc0c1 10,000 \ubbf8\ub9cc\uc774\ub2e4.<\/p>\r\n","output":"<p>A\uc5d0\uc11c B\ub85c \ubcc0\ud658\ud558\uae30 \uc704\ud574 \ud544\uc694\ud55c \ucd5c\uc18c\ud55c\uc758 \uba85\ub839\uc5b4 \ub098\uc5f4\uc744 \ucd9c\ub825\ud55c\ub2e4. \uac00\ub2a5\ud55c \uba85\ub839\uc5b4 \ub098\uc5f4\uc774 \uc5ec\ub7ec\uac00\uc9c0\uba74, \uc544\ubb34\uac70\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"9019","problem_lang":"1","title":"DSLR","description":"<p>Here is a simple calculator providing only four commands, D, S, L, and R. This calculator has only one register for storing a non-negative integer of four decimal digits. Each command modifies the integer n stored in the register as follows. Let us assume the four decimal digits of n from left to right are d<sub>1<\/sub>, d<sub>2<\/sub>, d<sub>3<\/sub>, d<sub>4<\/sub> and (i.e. n = ((d<sub>1<\/sub>&nbsp;&times; 10 + d<sub>2<\/sub>) &times; 10 + d<sub>3<\/sub>) &times; 10 + d<sub>4<\/sub>)<\/p>\r\n\r\n<p>D: D doubles up n. If the result is greater than 9999, modulo 10000 is taken. As a result, the new value (2n mod 10000) is stored to the register.<br \/>\r\nS: S subtracts one from n and stores the result n-1 to the register. If n is zero, 9999 is stored to the register instead.<br \/>\r\nL: L rotates each of four digits of n to the left and stores the result to the register. After this operation, the four digits of the value of the register from left to right are d<sub>2<\/sub>, d<sub>3<\/sub>, d<sub>4<\/sub>, and d<sub>1<\/sub>.<br \/>\r\nR: R rotates each of four digits of n to the right and stores the result to the register. After this operation, the four digits of the value of the register from left to right are d<sub>4<\/sub>, d<sub>1<\/sub>, d<sub>2<\/sub>, and d<sub>3<\/sub>.<\/p>\r\n\r\n<p>As noted above, L and R commands assume the decimal representation. For example, if n = 1234, applying L results in 2341 and applying R results in 4123 to be stored in the register.<\/p>\r\n\r\n<p>Given two different integers A and B (A &ne; B), you are to write a program to generate a minimal sequence of commands changing the register contents from A to B. For instance, if A = 1234 and B = 3412, applying the following two sequences of commands is changing the register content from A to B.<\/p>\r\n\r\n<p>1234 &rarr;<sub>L<\/sub>&nbsp;2341 &rarr;<sub>L<\/sub>&nbsp;3412<br \/>\r\n1234 &rarr;<sub>R<\/sub>&nbsp;4123 &rarr;<sub>R<\/sub>&nbsp;3412<\/p>\r\n\r\n<p>Therefore, your program should print LL or RR as an output for the above input.<\/p>\r\n\r\n<p>Beware the cases where n contains 0 as a decimal digit. For instance, applying L to 1000 produces 1 since rotating 1000 to the left results in 0001. But, applying R to 1000 produces 100 since rotating 1000 to the right results in 0100.&nbsp;<\/p>\r\n","input":"<p>Your program is to read the input from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case consists of two integers, A and B (A &ne; B),separated by a space, where the former denotes the initial content of the register and the latter denotes the wanted final content of it. Both A and B are greater than or equal to 0 and less than 10,000.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print a minimal sequence of commands required to change the content of the register from A to B.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]