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문제

QR 코드는 위와 같이 최소 21*21개의 단위 픽셀로 이루어진 정방형의 흑백 픽셀 매트릭스이다.

각각의 픽셀은 나타내는 내용에 따라 위치 감지 패턴(과녁 모양의 작은 정사각형), 타이밍 패턴(교차하는 흑,백의 선), 서식 정보(작은 점들의 집합), 데이터와 오류 수정 코드(회색 픽셀 8개로 이루어진 블록들), 그리고 더 큰 QR코드의 경우 보정 패턴, 버전 정보 등으로 나뉜다.

21*21의 최소 크기 QR 코드는 26개의 데이터 및 오류 수정 코드를 가지는데, 이는 다시 19개의 데이터 코드와 7개의 오류 수정 코드로 나뉜다.

어떤 정보를 데이터 코드로 만들 때는 10비트당 3개의 숫자, 11비트당 2개의 알파뉴메릭 문자, 8비트당 1개의 기타 8비트 문자, 13비트당 1개의 한자(Kanji)를 저장하며 다음 세 가지 정보를 함께 저장한다.

  • 데이터의 종류(mode)
  • 문자의 수(character count)
  • 문자 정보

mode bit는 QR 코드의 크기에 따라 달라질 수 있으며, 문자 수에 대한 정보(count bits)는 데이터의 타입에 따라 다른 비트 수를 가진다. 

아래는 21*21 크기 QR 코드에서의 mode bit와 count bit에 대한 표이다.

Mode Name       Mode Bits    Count Bits
Numeric 0001 10
Alphanumeric 0010 9
8 bit byte 0100 8
Kanji 1000 8
Termination 0000 0

숫자를 표현하기 위해 mode bit로 0001을 사용하며, 그 뒤 10개의 비트는 숫자의 개수를 나타낼 것이다.

터미네이션 코드로 데이터는 종료되며 만일 데이터 코드를 저장할 공간이 없다면 터미네이션 코드는 생략되거나 불완전한 형태일 수도 있다.

터미네이션 코드 이후로 등장하는 불완전한 코드 조각은 비어있는 부분을 0으로 채우게 되며, 그 이후로 남는 빈 공간에는 11101100과 00010001을 교대로 채운다. 이에 대한 예시는 문제 설명 마지막 부분에서 자세히 볼 수 있다.

수로 이루어진 문자열은 한 번에 3자리씩 저장된다. 마지막 남은 문자열이 2글자일 경우엔 7bit로, 1글자일 경우엔 4bit로 저장한다. 아래는 예시이다.

12345678 → 123 456 78 → 0001111011 0111001000 1001110

이 앞에 mode 정보(0001)와 count bit(8 = 0000001000)가 들어간다.

0001 0000001000 0001111011 0111001000 1001110

알파뉴메릭 문자열은 다음 45개 문자들을 포함하고 있는 문자열이다.(<SP>는 스페이스바를 나타낸다)

0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ<SP>\$%*+-./:

각각의 알파벳은 0부터 44의 수로 대응되며, 알파뉴메릭 두 문자는 다음과 같이 인코딩된다.

<first char code> * 45 + <second char code>

만일 한 개의 문자가 남는다면, 이것은 6 비트로 인코딩된다.

예시는 다음과 같다.

AC-42 → (10, 12, 41, 4, 2) → 10*45 + 12 = 462, 41*45 + 4 = 1849, 2 →  00111001110 11100111001 000010

이 앞에 mode bit(0010) 과 count bit(5 = 000000101) 가 삽입되어 총 비트 수는 4+9+11+11+6 bit가 된다.

8비트 문자/숫자와 한자를 저장하는 다음의 과정은 비교적 간단하다. 8비트 문자는 어떤 8비트의 코드로, 한자는 어떤 13비트의 코드로 저장될 것이며 그 문자를 찾는 대신 그저 16진수로 코드를 표현해내기만 하면 된다.

예시는 다음과 같다.

8 bit 0x45 0x92 0xa3 → 01000101 10010010 10100011

이 앞에 mode bit와 count bit가 삽입되어 다음과 같이 된다

0100 00000011 01000101 10010010 10100011

총 비트 수는 4 + 8 + 8 + 8 + 8이 된다.

한자에 대한 예시는 다음과 같다.

Kanji 0x1ABC 0x0345 → 1000 00000010 1101010111100 0001101000101

총 비트 수는 4 + 8 + 13 + 13이다.

19개의 데이터 블록엔 각각의 블록당 위의 규칙에 따라 변환한 코드를 8비트 단위로 끊어서 표현한 이진수 묶음이 입력된다. 모든 정보를 저장한 뒤엔 터미네이트 코드가 주어지며, 터미네이트 코드의 mode bit까지 표현한 후 불완전한 데이터 블록이 생겼다면 남은 부분을 0으로 채운다. 이때 데이터 블록이 19개 미만이라면 11101100과 00010001을 교대로 삽입하여 19개의 데이터 블록을 만든다.

예시는 다음과 같다.

0001 0000001000 0001111011 0111001000 1001110

0010 000000101 00111001110 11100111001 000010

0100 00000011 01000101 10010010 10100011

0000 000000 11101100 00010001 11101100

위의 코드는 다음과 같이 19개의 데이터 블록에 인코딩된다.

00010000 00100000 01111011 01110010 00100111 00010000 00010100 11100111 01110011 10010000 10010000 00001101 00010110 01001010 10001100 00000000 11101100 00010001 11101100

→ HEX 10207B72271014E77390900D164A8C00EC11EC

위의 마지막 결과처럼 16진수로 인코딩된 19개의 데이터 블록이 주어지면 그에 따라 원래 정보를 복원하는 프로그램을 작성하라.

입력

첫 줄에 테스트 케이스의 수 P가 주어진다 (1 ≤ P ≤ 1000)

각각의 테스트 케이스는 한 줄로 표현된 19개의 데이터 블록이며, 38개의 16진수 문자가 주어진다. 0~9, A~F 외의 잘못된 문자가 주어지는 경우는 없다.

출력

각각의 테스트 케이스에 대해 다음과 같이 한 줄을 출력한다.

  • 문자의 수를 나타내는 정수 하나
  • 공백으로 구분하여, 디코딩된 문자열

만일 출력 문자열이 출력 가능한 아스키 문자라면(0x20~0x7e) 그대로 출력하면 되며, 다만 예외로 백슬래시( \ )는 \\ 로, #은 \# 으로 출력하면 된다.

출력 불가능한 문자일 경우엔

  • 8bit 문자일 경우 : \xx, x는 16진수로 표현했을 경우의 자리수(예시 : \AE)
  • 13bit 문자일 경우 : #bxxx : b는 0 또는 1, x는 16진수로 표현했을 경우의 자리수(예시 : #13AC)

를 출력하면 된다.

0x20(스페이스바)보다 작거나 0x7e(~)보다 큰 모든 8bit 아스키 문자 혹은 모든 13bit 문자는 출력 불가능한 문자이다.

예제 입력 1

4
10207B72271014E77390900D164A8C00EC11EC
802D5E0D1400EC11EC11EC11EC11EC11EC11EC
20BB1AA65F9FD7DC0ED88C973E15EF533EB0EC
2010B110888D9428D937193B9CEA0D7F45DF68

예제 출력 1

16 12345678AC-42E\92\A3
2 #1ABC#0345
23 HTTP://WWW.ACMGNYR.ORG/
36 3.1415926535897932384626433832795028
[{"problem_id":"2680","problem_lang":"0","title":"QR","description":"<p><img src=\"\/upload\/images\/qr.png\" \/><\/p>\r\n\r\n<p>QR \ucf54\ub4dc\ub294 \uc704\uc640 \uac19\uc774&nbsp;\ucd5c\uc18c 21*21\uac1c\uc758 \ub2e8\uc704&nbsp;\ud53d\uc140\ub85c&nbsp;\uc774\ub8e8\uc5b4\uc9c4 \uc815\ubc29\ud615\uc758 \ud751\ubc31 \ud53d\uc140 \ub9e4\ud2b8\ub9ad\uc2a4\uc774\ub2e4.<\/p>\r\n\r\n<p>\uac01\uac01\uc758 \ud53d\uc140\uc740 \ub098\ud0c0\ub0b4\ub294 \ub0b4\uc6a9\uc5d0 \ub530\ub77c \uc704\uce58 \uac10\uc9c0 \ud328\ud134(\uacfc\ub141 \ubaa8\uc591\uc758 \uc791\uc740 \uc815\uc0ac\uac01\ud615), \ud0c0\uc774\ubc0d \ud328\ud134(\uad50\ucc28\ud558\ub294 \ud751,\ubc31\uc758 \uc120), \uc11c\uc2dd \uc815\ubcf4(\uc791\uc740 \uc810\ub4e4\uc758 \uc9d1\ud569), \ub370\uc774\ud130\uc640 \uc624\ub958 \uc218\uc815 \ucf54\ub4dc(\ud68c\uc0c9 \ud53d\uc140 8\uac1c\ub85c&nbsp;\uc774\ub8e8\uc5b4\uc9c4&nbsp;\ube14\ub85d\ub4e4),&nbsp;\uadf8\ub9ac\uace0 \ub354 \ud070 QR\ucf54\ub4dc\uc758 \uacbd\uc6b0 \ubcf4\uc815 \ud328\ud134, \ubc84\uc804 \uc815\ubcf4 \ub4f1\uc73c\ub85c \ub098\ub25c\ub2e4.<\/p>\r\n\r\n<p>21*21\uc758 \ucd5c\uc18c \ud06c\uae30 QR \ucf54\ub4dc\ub294 26\uac1c\uc758 \ub370\uc774\ud130 \ubc0f \uc624\ub958 \uc218\uc815 \ucf54\ub4dc\ub97c \uac00\uc9c0\ub294\ub370, \uc774\ub294 \ub2e4\uc2dc 19\uac1c\uc758 \ub370\uc774\ud130 \ucf54\ub4dc\uc640 7\uac1c\uc758 \uc624\ub958 \uc218\uc815 \ucf54\ub4dc\ub85c \ub098\ub25c\ub2e4.<\/p>\r\n\r\n<p>\uc5b4\ub5a4 \uc815\ubcf4\ub97c \ub370\uc774\ud130 \ucf54\ub4dc\ub85c \ub9cc\ub4e4&nbsp;\ub54c\ub294 10\ube44\ud2b8\ub2f9 3\uac1c\uc758 \uc22b\uc790, 11\ube44\ud2b8\ub2f9 2\uac1c\uc758 \uc54c\ud30c\ub274\uba54\ub9ad \ubb38\uc790, 8\ube44\ud2b8\ub2f9 1\uac1c\uc758 \uae30\ud0c0 8\ube44\ud2b8 \ubb38\uc790,&nbsp;13\ube44\ud2b8\ub2f9 1\uac1c\uc758&nbsp;\ud55c\uc790(Kanji)\ub97c \uc800\uc7a5\ud558\uba70 \ub2e4\uc74c \uc138 \uac00\uc9c0 \uc815\ubcf4\ub97c \ud568\uaed8 \uc800\uc7a5\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub370\uc774\ud130\uc758 \uc885\ub958(mode)<\/li>\r\n\t<li>\ubb38\uc790\uc758 \uc218(character count)<\/li>\r\n\t<li>\ubb38\uc790 \uc815\ubcf4<\/li>\r\n<\/ul>\r\n\r\n<p>mode bit\ub294&nbsp;QR \ucf54\ub4dc\uc758 \ud06c\uae30\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9c8 \uc218 \uc788\uc73c\uba70, \ubb38\uc790 \uc218\uc5d0 \ub300\ud55c \uc815\ubcf4(count bits)\ub294 \ub370\uc774\ud130\uc758 \ud0c0\uc785\uc5d0 \ub530\ub77c \ub2e4\ub978 \ube44\ud2b8 \uc218\ub97c \uac00\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc544\ub798\ub294 21*21 \ud06c\uae30 QR \ucf54\ub4dc\uc5d0\uc11c\uc758 mode bit\uc640 count bit\uc5d0 \ub300\ud55c \ud45c\uc774\ub2e4.<\/p>\r\n\r\n<table>\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Mode Name &nbsp; &nbsp; &nbsp;<\/th>\r\n\t\t\t<th>Mode Bits &nbsp;&nbsp;<\/th>\r\n\t\t\t<th>Count Bits<\/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>Numeric<\/td>\r\n\t\t\t<td>0001<\/td>\r\n\t\t\t<td>10<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Alphanumeric<\/td>\r\n\t\t\t<td>0010<\/td>\r\n\t\t\t<td>9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>8 bit byte<\/td>\r\n\t\t\t<td>0100<\/td>\r\n\t\t\t<td>8<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Kanji<\/td>\r\n\t\t\t<td>1000<\/td>\r\n\t\t\t<td>8<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Termination<\/td>\r\n\t\t\t<td>0000<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc22b\uc790\ub97c \ud45c\ud604\ud558\uae30 \uc704\ud574 mode bit\ub85c 0001\uc744 \uc0ac\uc6a9\ud558\uba70, \uadf8 \ub4a4 10\uac1c\uc758 \ube44\ud2b8\ub294 \uc22b\uc790\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0bc \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud130\ubbf8\ub124\uc774\uc158 \ucf54\ub4dc\ub85c \ub370\uc774\ud130\ub294 \uc885\ub8cc\ub418\uba70 \ub9cc\uc77c \ub370\uc774\ud130 \ucf54\ub4dc\ub97c \uc800\uc7a5\ud560 \uacf5\uac04\uc774 \uc5c6\ub2e4\uba74 \ud130\ubbf8\ub124\uc774\uc158 \ucf54\ub4dc\ub294 \uc0dd\ub7b5\ub418\uac70\ub098 \ubd88\uc644\uc804\ud55c \ud615\ud0dc\uc77c \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud130\ubbf8\ub124\uc774\uc158 \ucf54\ub4dc \uc774\ud6c4\ub85c \ub4f1\uc7a5\ud558\ub294 \ubd88\uc644\uc804\ud55c&nbsp;\ucf54\ub4dc \uc870\uac01\uc740&nbsp;\ube44\uc5b4\uc788\ub294 \ubd80\ubd84\uc744&nbsp;0\uc73c\ub85c \ucc44\uc6b0\uac8c \ub418\uba70, \uadf8 \uc774\ud6c4\ub85c \ub0a8\ub294 \ube48 \uacf5\uac04\uc5d0\ub294 11101100\uacfc 00010001\uc744 \uad50\ub300\ub85c \ucc44\uc6b4\ub2e4.&nbsp;\uc774\uc5d0 \ub300\ud55c \uc608\uc2dc\ub294 \ubb38\uc81c \uc124\uba85 \ub9c8\uc9c0\ub9c9 \ubd80\ubd84\uc5d0\uc11c \uc790\uc138\ud788 \ubcfc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc218\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4\uc740 \ud55c \ubc88\uc5d0 3\uc790\ub9ac\uc529 \uc800\uc7a5\ub41c\ub2e4. \ub9c8\uc9c0\ub9c9 \ub0a8\uc740 \ubb38\uc790\uc5f4\uc774 2\uae00\uc790\uc77c \uacbd\uc6b0\uc5d4 7bit\ub85c, 1\uae00\uc790\uc77c \uacbd\uc6b0\uc5d4 4bit\ub85c \uc800\uc7a5\ud55c\ub2e4. \uc544\ub798\ub294 \uc608\uc2dc\uc774\ub2e4.<\/p>\r\n\r\n<p><strong>12345678 &rarr; 123 456 78 &rarr; 0001111011 0111001000 1001110<\/strong><\/p>\r\n\r\n<p>\uc774 \uc55e\uc5d0 mode \uc815\ubcf4(0001)\uc640 count bit(8 = 0000001000)\uac00 \ub4e4\uc5b4\uac04\ub2e4.<\/p>\r\n\r\n<p><strong>0001 0000001000 0001111011 0111001000 1001110<\/strong><\/p>\r\n\r\n<p>\uc54c\ud30c\ub274\uba54\ub9ad \ubb38\uc790\uc5f4\uc740 \ub2e4\uc74c 45\uac1c&nbsp;\ubb38\uc790\ub4e4\uc744 \ud3ec\ud568\ud558\uace0 \uc788\ub294 \ubb38\uc790\uc5f4\uc774\ub2e4.(&lt;SP&gt;\ub294 \uc2a4\ud398\uc774\uc2a4\ubc14\ub97c \ub098\ud0c0\ub0b8\ub2e4)<\/p>\r\n\r\n<p><strong>0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ&lt;SP&gt;<\/strong><strong>\\$%*+-.\/:<\/strong><\/p>\r\n\r\n<p>\uac01\uac01\uc758 \uc54c\ud30c\ubcb3\uc740 0\ubd80\ud130 44\uc758 \uc218\ub85c \ub300\uc751\ub418\uba70, \uc54c\ud30c\ub274\uba54\ub9ad \ub450 \ubb38\uc790\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc778\ucf54\ub529\ub41c\ub2e4.<\/p>\r\n\r\n<p><strong>&lt;first char code&gt; * 45 + &lt;second char code&gt;<\/strong><\/p>\r\n\r\n<p>\ub9cc\uc77c \ud55c \uac1c\uc758 \ubb38\uc790\uac00 \ub0a8\ub294\ub2e4\uba74, \uc774\uac83\uc740 6 \ube44\ud2b8\ub85c \uc778\ucf54\ub529\ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc2dc\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><strong>AC-42 &rarr; (10, 12, 41, 4, 2) &rarr; 10*45 + 12 = 462, 41*45 + 4 = 1849, 2 &rarr; &nbsp;00111001110<\/strong><strong> 11100111001 000010<\/strong><\/p>\r\n\r\n<p>\uc774 \uc55e\uc5d0 mode bit(0010) \uacfc count bit(5 = 000000101) \uac00 \uc0bd\uc785\ub418\uc5b4 \ucd1d \ube44\ud2b8 \uc218\ub294 4+9+11+11+6 bit\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>8\ube44\ud2b8 \ubb38\uc790\/\uc22b\uc790\uc640 \ud55c\uc790\ub97c \uc800\uc7a5\ud558\ub294 \ub2e4\uc74c\uc758 \uacfc\uc815\uc740 \ube44\uad50\uc801 \uac04\ub2e8\ud558\ub2e4.&nbsp;8\ube44\ud2b8 \ubb38\uc790\ub294&nbsp;\uc5b4\ub5a4 8\ube44\ud2b8\uc758 \ucf54\ub4dc\ub85c, \ud55c\uc790\ub294 \uc5b4\ub5a4 13\ube44\ud2b8\uc758 \ucf54\ub4dc\ub85c&nbsp;\uc800\uc7a5\ub420 \uac83\uc774\uba70 \uadf8 \ubb38\uc790\ub97c \ucc3e\ub294 \ub300\uc2e0 \uadf8\uc800 16\uc9c4\uc218\ub85c \ucf54\ub4dc\ub97c \ud45c\ud604\ud574\ub0b4\uae30\ub9cc \ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc2dc\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><strong>8 bit 0x45 0x92 0xa3 &rarr; 01000101 10010010 10100011<\/strong><\/p>\r\n\r\n<p>\uc774 \uc55e\uc5d0 mode bit\uc640 count bit\uac00 \uc0bd\uc785\ub418\uc5b4 \ub2e4\uc74c\uacfc \uac19\uc774 \ub41c\ub2e4<\/p>\r\n\r\n<p><strong>0100 00000011 01000101 10010010 10100011<\/strong><\/p>\r\n\r\n<p>\ucd1d \ube44\ud2b8 \uc218\ub294 4 + 8 + 8 + 8 + 8\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud55c\uc790\uc5d0 \ub300\ud55c \uc608\uc2dc\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><strong>Kanji 0x1ABC 0x0345 &rarr;&nbsp;1000 00000010 1101010111100 0001101000101<\/strong><\/p>\r\n\r\n<p>\ucd1d \ube44\ud2b8 \uc218\ub294 4 + 8 + 13 + 13\uc774\ub2e4.<\/p>\r\n\r\n<p>19\uac1c\uc758 \ub370\uc774\ud130 \ube14\ub85d\uc5d4 \uac01\uac01\uc758 \ube14\ub85d\ub2f9 \uc704\uc758 \uaddc\uce59\uc5d0 \ub530\ub77c \ubcc0\ud658\ud55c \ucf54\ub4dc\ub97c&nbsp;8\ube44\ud2b8 \ub2e8\uc704\ub85c \ub04a\uc5b4\uc11c \ud45c\ud604\ud55c \uc774\uc9c4\uc218 \ubb36\uc74c\uc774 \uc785\ub825\ub41c\ub2e4. \ubaa8\ub4e0 \uc815\ubcf4\ub97c \uc800\uc7a5\ud55c \ub4a4\uc5d4 \ud130\ubbf8\ub124\uc774\ud2b8 \ucf54\ub4dc\uac00 \uc8fc\uc5b4\uc9c0\uba70, \ud130\ubbf8\ub124\uc774\ud2b8 \ucf54\ub4dc\uc758 mode bit\uae4c\uc9c0 \ud45c\ud604\ud55c \ud6c4 \ubd88\uc644\uc804\ud55c \ub370\uc774\ud130 \ube14\ub85d\uc774 \uc0dd\uacbc\ub2e4\uba74 \ub0a8\uc740 \ubd80\ubd84\uc744&nbsp;0\uc73c\ub85c \ucc44\uc6b4\ub2e4. \uc774\ub54c \ub370\uc774\ud130 \ube14\ub85d\uc774 19\uac1c \ubbf8\ub9cc\uc774\ub77c\uba74&nbsp;11101100\uacfc 00010001\uc744 \uad50\ub300\ub85c \uc0bd\uc785\ud558\uc5ec 19\uac1c\uc758 \ub370\uc774\ud130 \ube14\ub85d\uc744 \ub9cc\ub4e0\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc2dc\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><strong>0001 0000001000 0001111011 0111001000 1001110<\/strong><\/p>\r\n\r\n<p><strong>0010 000000101 00111001110 11100111001 000010<\/strong><\/p>\r\n\r\n<p><strong>0100 00000011 01000101 10010010 10100011<\/strong><\/p>\r\n\r\n<p><strong>0000 000000 11101100 00010001 11101100<\/strong><\/p>\r\n\r\n<p>\uc704\uc758 \ucf54\ub4dc\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 19\uac1c\uc758 \ub370\uc774\ud130 \ube14\ub85d\uc5d0 \uc778\ucf54\ub529\ub41c\ub2e4.<\/p>\r\n\r\n<p><strong>00010000 00100000 01111011 01110010 00100111 00010000 00010100 11100111 01110011 10010000 10010000 00001101 00010110 01001010 10001100 00000000 11101100 00010001 11101100<\/strong><\/p>\r\n\r\n<p><strong>&rarr; HEX 10207B72271014E77390900D164A8C00EC11EC<\/strong><\/p>\r\n\r\n<p>\uc704\uc758 \ub9c8\uc9c0\ub9c9 \uacb0\uacfc\ucc98\ub7fc 16\uc9c4\uc218\ub85c \uc778\ucf54\ub529\ub41c 19\uac1c\uc758 \ub370\uc774\ud130 \ube14\ub85d\uc774 \uc8fc\uc5b4\uc9c0\uba74 \uadf8\uc5d0 \ub530\ub77c \uc6d0\ub798 \uc815\ubcf4\ub97c \ubcf5\uc6d0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\ub77c.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 P\uac00 \uc8fc\uc5b4\uc9c4\ub2e4 (1 &le; P &le; 1000)<\/p>\r\n\r\n<p>\uac01\uac01\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \ud45c\ud604\ub41c 19\uac1c\uc758 \ub370\uc774\ud130 \ube14\ub85d\uc774\uba70, 38\uac1c\uc758 16\uc9c4\uc218 \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. 0~9, A~F \uc678\uc758&nbsp;\uc798\ubabb\ub41c \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c0\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ub2e4\uc74c\uacfc \uac19\uc774 \ud55c \uc904\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubb38\uc790\uc758 \uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 \ud558\ub098<\/li>\r\n\t<li>\uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec, \ub514\ucf54\ub529\ub41c \ubb38\uc790\uc5f4<\/li>\r\n<\/ul>\r\n\r\n<p>\ub9cc\uc77c \ucd9c\ub825 \ubb38\uc790\uc5f4\uc774 \ucd9c\ub825 \uac00\ub2a5\ud55c \uc544\uc2a4\ud0a4 \ubb38\uc790\ub77c\uba74(0x20~0x7e) \uadf8\ub300\ub85c \ucd9c\ub825\ud558\uba74 \ub418\uba70, \ub2e4\ub9cc \uc608\uc678\ub85c \ubc31\uc2ac\ub798\uc2dc( \\ )\ub294 \\\\ \ub85c, #\uc740 \\# \uc73c\ub85c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ucd9c\ub825 \ubd88\uac00\ub2a5\ud55c \ubb38\uc790\uc77c \uacbd\uc6b0\uc5d4<\/p>\r\n\r\n<ul>\r\n\t<li>8bit \ubb38\uc790\uc77c \uacbd\uc6b0 : \\xx, x\ub294 16\uc9c4\uc218\ub85c \ud45c\ud604\ud588\uc744 \uacbd\uc6b0\uc758 \uc790\ub9ac\uc218(\uc608\uc2dc :&nbsp;\\AE)<\/li>\r\n\t<li>13bit \ubb38\uc790\uc77c \uacbd\uc6b0 : #bxxx : b\ub294 0 \ub610\ub294 1, x\ub294 16\uc9c4\uc218\ub85c \ud45c\ud604\ud588\uc744 \uacbd\uc6b0\uc758 \uc790\ub9ac\uc218(\uc608\uc2dc : #13AC)<\/li>\r\n<\/ul>\r\n\r\n<p>\ub97c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>0x20(\uc2a4\ud398\uc774\uc2a4\ubc14)\ubcf4\ub2e4 \uc791\uac70\ub098 0x7e(~)\ubcf4\ub2e4 \ud070 \ubaa8\ub4e0 8bit&nbsp;\uc544\uc2a4\ud0a4 \ubb38\uc790 \ud639\uc740 \ubaa8\ub4e0 13bit \ubb38\uc790\ub294 \ucd9c\ub825 \ubd88\uac00\ub2a5\ud55c \ubb38\uc790\uc774\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2680","problem_lang":"1","title":"QR","description":"<p>QR Codes (the smallest, which is 21 pixels by 21 pixels, is shown below) are square arrays of blackor white pixels (modules) which include Position Detection Patterns (the square bull&lsquo;s-eye patterns),Timing Patterns (the alternating black and white lines), Alignment Patterns in larger QR Codes,Format Information (the stippled pixels), Version information in larger QR Codes and Data and ErrorCorrection Codewords (gray 8 pixel blocks).<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/qr.png\" style=\"height:323px; width:329px\" \/><\/p>\r\n\r\n<p>The 21-by-21 QR Code has 26 data and error correction codewords. At the lowest error correctionlevel for this code, 19 are data codewords and 7 are error correction codewords. Data may beencoded as numeric at 3 numbers per 10 bits, as alphanumeric at 2 characters per 11 bits, as 8 bitbytes or as Kanji at 13 bits per character. Data is encoded in groups of (mode, character count,character data bits). The mode can change within the data stream. The mode is specified by a 4 bitcode and the character count by a varying number of bits depending on the mode and QR Code size.For the 21-by-21 code, the character count bits are:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Mode Name<\/th>\r\n\t\t\t<th>Mode Bits<\/th>\r\n\t\t\t<th>Count Bits<\/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>Numeric<\/td>\r\n\t\t\t<td>0001<\/td>\r\n\t\t\t<td>10<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Alphanumeric<\/td>\r\n\t\t\t<td>0010<\/td>\r\n\t\t\t<td>9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>8 bit byte<\/td>\r\n\t\t\t<td>0100<\/td>\r\n\t\t\t<td>8<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Kanji<\/td>\r\n\t\t\t<td>1000<\/td>\r\n\t\t\t<td>8<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Termination<\/td>\r\n\t\t\t<td>0000<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>The entire data stream ends in the termination code which may be truncated if there is not enoughroom. Any partially filled codeword after the termination code is filled with 0 bits. Any remainingcodewords are set to 11101100 followed by 00010001 alternating.<\/p>\r\n\r\n<p>Numeric strings are encoded 3 digits at a time. If there are remaining digits, 2 digits are encoded in 7bits or 1 digit in 4 bits. For example:<\/p>\r\n\r\n<pre>\r\n12345678 &rarr; 123 456 78 &rarr; 0001111011 0111001000 1001110<\/pre>\r\n\r\n<p>Prefix with mode (0001) and count (8 \u0680 0000001000) is (4 + 10 + 10 + 10 + 7) bits:<\/p>\r\n\r\n<pre>\r\n0001 0000001000 0001111011 0111001000 1001110<\/pre>\r\n\r\n<p>Alphanumeric strings encode the characters (&lt;SP&gt; represents the space character):<\/p>\r\n\r\n<pre>\r\n0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ&lt;SP&gt;$%*+-.\/:<\/pre>\r\n\r\n<p>as numbers from 0 to 44, then two characters are encoded in 11 bits:<\/p>\r\n\r\n<pre>\r\n&lt;first char code&gt; * 45 + &lt;second char code&gt;<\/pre>\r\n\r\n<p>if the number of characters is odd, the last character is encoded in 6 bits. For example:<\/p>\r\n\r\n<pre>\r\nAC-42 &rarr; (10, 12, 41, 4, 2) &rarr; 10*45 + 12 = 462, 41*45 + 4 = 1849, 2 &rarr; 00111001110 11100111001 000010<\/pre>\r\n\r\n<p>Prefix with mode and count is (4 + 9 + 11 + 11+ 6) bits:<\/p>\r\n\r\n<pre>\r\n0010 000000101 00111001110 11100111001 000010<\/pre>\r\n\r\n<p>The 8 bit binary and Kanji modes will be straightforward for the purposes of this problem. Kanji codeswill just be opaque 13 bit codes; you need not decode the characters they represent, just thehexadecimal values. For example:<\/p>\r\n\r\n<pre>\r\n8 bit 0x45 0x92 0xa3 &rarr; 01000101 10010010 10100011<\/pre>\r\n\r\n<p>Prefix with mode and count is (4 + 8 + 8 + 8 + 8) bits:<\/p>\r\n\r\n<pre>\r\n0100 00000011 01000101 10010010 10100011<\/pre>\r\n\r\n<pre>\r\nKanji 0x1ABC 0x0345 &rarr; 1101010111100 0001101000101<\/pre>\r\n\r\n<p>Prefix with mode and count is (4 + 8 + 13 + 13) bits:<\/p>\r\n\r\n<pre>\r\n1000 00000010 1101010111100 0001101000101<\/pre>\r\n\r\n<p>To illustrate forming the 19 codeword content of a QR Code, combine the first 3 sequences above (for numeric, alphanumeric and bytes). Concatenate the bits, split into 8 bit code words add the termination codeword, any fill bits and fill bytes(41 + 41 + 36 data bits + 4 bit termination code = 122 &rarr; 6 fill bits are needed to get 16 bytes, and to fill out the 19 bytes, 3 fill bytes are needed):<\/p>\r\n\r\n<pre>\r\n0001 0000001000 0001111011 0111001000 1001110\r\n0010 000000101 00111001110 11100111001 000010\r\n0100 00000011 01000101 10010010 10100011\r\n0000 000000 11101100 00010001 11101100<\/pre>\r\n\r\n<p>split into 8 bit codewords:<\/p>\r\n\r\n<pre>\r\n00010000 00100000 01111011 01110010 00100111 00010000 00010100 11100111\r\n01110011 10010000 10010000 00001101 00010110 01001010 10001100 00000000\r\n11101100 00010001 11101100 &rarr; HEX 10207B72271014E77390900D164A8C00EC11EC<\/pre>\r\n\r\n<p>Write a program to read 19 codewords and print the corresponding data.<\/p>\r\n","input":"<p>The first line of input contains a single integer P, (1 &le; P &le; 1000), which is the number of data setsthat follow. Each data set is a single line of input consisting of the data set number, N, followed by asingle space and 38 hexadecimal digits giving the 19 bytes of QR Code data. The valid hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F.<\/p>\r\n","output":"<p>For each data set there is one line of output. It contains the data set number (N) followed by a singlespace, the number of QR decoded characters in the result, a single space and the character stringcorresponding to the QR Code data. In the output string, printable ASCII characters (in the range0x20 to 0x7e) are printed as the ASCII character EXCEPT that backslash (\\) is printed as \\\\ andpound sign (#) is printed as \\#. Non-printable 8 bit data is output as \\xx, where x is a hexadecimaldigit (e.g. \\AE). Non-printable 8 bit data is any value that is less than the ASCII value of a space(0x20) or greater than 0x76. 13 bit Kanji values are printed as #bxxx, where b is 0 or 1 and x is ahexadecimal digit (e.g. #13AC).<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

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ICPC > Regionals > North America > Greater New York Region > 2011 Greater New York Programming Contest F번