시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 193 21 14 14.000%

문제

FoodVictory의 물류 관리자인 영우는 2685번에서 용태에게 패배한 충격으로 그만 바코드 데이터베이스 일부를 날려버렸다. 이 사건이 알려지면 영우는 굉장히 곤란한 상황에 처하게 되므로 지푸라기라도 붙잡는 심정으로 인터넷에 바코드를 검색해 보았다.

UPC-A 바코드는 12자리의 십진수를 번갈아나며 나타나는 "밝은" 부분과 "어두운" 막대로 이루어진 15개의 패턴으로 표현한다. 이 패턴은 SLLLLLLMRRRRRRE와 같은 패턴이다. 여기서 S는 시작 패턴으로 101(1은 "어두운" 막대이고 0은 "밝은" 막대이다)이고, M은 중간 패턴으로 01010이다. 그리고 E는 끝 패턴으로 101이다. L은 왼쪽 패턴으로 각 자리가 10진수의 첫 6자리와 대응되고, R은 오른쪽 패턴으로 각 자리가 10진수의 뒤 6자리와 대응된다. 각 막대의 두께는 일정한 값(바코드의 가로 크기)의 배수이며, 바코드 위의 작은 표시는 패턴(S, L, M, R, E)의 시작을 표시한다. (단, 가장 마지막 표시는 바코드의 끝을 나타낸다) 바코드에는 총 3 + 5 + 3 + 12*7 = 95개의 코드(1,0)가 있어야 하고, 양 끝에 최소한 9개의 "밝은" 막대가 있어야 한다.

바코드의 십진수 마지막 자리는 체크섬 숫자이며, 다음과 같이 계산한다.

(digitN = 십진수의 N번째 자리, check_digit = 마지막 자리)

CheckSum = 3*(digit1 + digit3 + digit5 + digit7 + digit9 + digit11) + digit2 + digit4 + digit6 + digit8 + digit10;
Code = CheckSum % 10;
If (Code == 0) check_digit = 0;
else check_digit = (10 - Code);

바코드 스캐너는 카메라를 이용해 바코드의 좁은 이미지를 읽어내고, 이미지로부터 코드를 추론해낸다.

바코드가 뒤집혀진채로 읽힌다면 코드가 반대 방향으로 읽히게 된다.

안타깝게도, 색상 대비의 부족이나 반짝이는 물체의 반사때문에 이 이미지는 언제나 명확하지는 않다.

위의 그림을 보면, 확실히 밝은 막대인지 어두운 막대인지 제대로 알아볼 수가 없다. 하지만 이런 경우에도 대부분은 바코드를 인식할 수 있는데, 그 이유는 다음과 같다. 첫째, 128가지의 가능한 7-비트 숫자중 20개만이 사용된다. 둘째, 체크섬이 맞아 떨어지는 경우에만 옳은 바코드이다. 마지막으로, 여러 바코드가 매치된다고 해도, 그중 두 개 이상이 같은 목적으로 데이터베이스에 저장되어있을 가능성은 희박하다.

자, 영우의 위기를 막기 위해 손상된 바코드와 매칭될 수 있는 모든 옳은 바코드의 목록을 출력해주자(뒤집혀서 읽힌 경우도 고려할것!). 손상된 바코드는 0과 1, 그리고 ?(손상되어 알 수 없는 부분)으로 이루어진 95자의 코드로 표현된다

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스는 두 줄로 이루어져 있는데, 첫째 줄에는 바코드의 첫 50자가, 둘째 줄에는 바코드의 마지막 45자가 주어진다.

출력

각 테스트 케이스마다 첫째 줄에는 입력과 매치되는 올바른 바코드의 개수를 출력하는데, 만약 매치되는 개수가 8보다 크다면 9를 출력한다. 그 다음 줄부터는 매치되는 모든 바코드를 증가하는 순서로 한 줄에 한 개씩 출력한다. (단, 매치되는 바코드의 수가 9 이상이라면 첫 8개만 출력한다)

예제 입력 1

3
10100110110100111010000100110110001001000010101010
100011010110001101110110100011000101011000101
1010001101010001100010????????????1101011000101010
101000010010001101100100001011100101101100101
1010001101010001100010????????????1101011000101010
101000010010001??????????01011100101101100101

예제 출력 1

1
049705682302
2
049705682302
049835682302
9
049005681302
049005682002
049035688302
049035689002
049105684302
049105685002
049135681302
049135682002
[{"problem_id":"2691","problem_lang":"0","title":"UPC \ubc14\ucf54\ub4dc \uc77d\uae30","description":"<p><img alt=\"\" src=\"\/upload\/images\/bar1.png\" style=\"float:right; height:123px; width:237px\" \/>FoodVictory\uc758 \ubb3c\ub958 \uad00\ub9ac\uc790\uc778 \uc601\uc6b0\ub294 <a href=\"https:\/\/www.acmicpc.net\/problem\/2685\">2685<\/a>\ubc88\uc5d0\uc11c \uc6a9\ud0dc\uc5d0\uac8c \ud328\ubc30\ud55c \ucda9\uaca9\uc73c\ub85c \uadf8\ub9cc \ubc14\ucf54\ub4dc \ub370\uc774\ud130\ubca0\uc774\uc2a4 \uc77c\ubd80\ub97c \ub0a0\ub824\ubc84\ub838\ub2e4. \uc774 \uc0ac\uac74\uc774 \uc54c\ub824\uc9c0\uba74 \uc601\uc6b0\ub294 \uad49\uc7a5\ud788 \uace4\ub780\ud55c \uc0c1\ud669\uc5d0 \ucc98\ud558\uac8c \ub418\ubbc0\ub85c \uc9c0\ud478\ub77c\uae30\ub77c\ub3c4 \ubd99\uc7a1\ub294 \uc2ec\uc815\uc73c\ub85c \uc778\ud130\ub137\uc5d0 \ubc14\ucf54\ub4dc\ub97c \uac80\uc0c9\ud574 \ubcf4\uc558\ub2e4.<\/p>\r\n\r\n<p>UPC-A \ubc14\ucf54\ub4dc\ub294 12\uc790\ub9ac\uc758 \uc2ed\uc9c4\uc218\ub97c \ubc88\uac08\uc544\ub098\uba70 \ub098\ud0c0\ub098\ub294 &quot;\ubc1d\uc740&quot; \ubd80\ubd84\uacfc &quot;\uc5b4\ub450\uc6b4&quot; \ub9c9\ub300\ub85c \uc774\ub8e8\uc5b4\uc9c4 15\uac1c\uc758 \ud328\ud134\uc73c\ub85c \ud45c\ud604\ud55c\ub2e4. \uc774 \ud328\ud134\uc740 SLLLLLLMRRRRRRE\uc640 \uac19\uc740 \ud328\ud134\uc774\ub2e4. \uc5ec\uae30\uc11c S\ub294 \uc2dc\uc791 \ud328\ud134\uc73c\ub85c 101(1\uc740 &quot;\uc5b4\ub450\uc6b4&quot; \ub9c9\ub300\uc774\uace0 0\uc740 &quot;\ubc1d\uc740&quot; \ub9c9\ub300\uc774\ub2e4)\uc774\uace0, M\uc740 \uc911\uac04 \ud328\ud134\uc73c\ub85c 01010\uc774\ub2e4. \uadf8\ub9ac\uace0 E\ub294 \ub05d \ud328\ud134\uc73c\ub85c 101\uc774\ub2e4. L\uc740 \uc67c\ucabd \ud328\ud134\uc73c\ub85c \uac01 \uc790\ub9ac\uac00 10\uc9c4\uc218\uc758 \uccab 6\uc790\ub9ac\uc640 \ub300\uc751\ub418\uace0, R\uc740 \uc624\ub978\ucabd \ud328\ud134\uc73c\ub85c \uac01 \uc790\ub9ac\uac00 10\uc9c4\uc218\uc758 \ub4a4 6\uc790\ub9ac\uc640 \ub300\uc751\ub41c\ub2e4. \uac01 \ub9c9\ub300\uc758 \ub450\uaed8\ub294 \uc77c\uc815\ud55c \uac12(\ubc14\ucf54\ub4dc\uc758 \uac00\ub85c \ud06c\uae30)\uc758 \ubc30\uc218\uc774\uba70, \ubc14\ucf54\ub4dc \uc704\uc758 \uc791\uc740 \ud45c\uc2dc\ub294 \ud328\ud134(S, L, M, R, E)\uc758 \uc2dc\uc791\uc744 \ud45c\uc2dc\ud55c\ub2e4. (\ub2e8, \uac00\uc7a5 \ub9c8\uc9c0\ub9c9 \ud45c\uc2dc\ub294 \ubc14\ucf54\ub4dc\uc758 \ub05d\uc744 \ub098\ud0c0\ub0b8\ub2e4) \ubc14\ucf54\ub4dc\uc5d0\ub294 \ucd1d 3 + 5 + 3 + 12*7 = 95\uac1c\uc758 \ucf54\ub4dc(1,0)\uac00 \uc788\uc5b4\uc57c \ud558\uace0, \uc591 \ub05d\uc5d0 \ucd5c\uc18c\ud55c 9\uac1c\uc758 &quot;\ubc1d\uc740&quot; \ub9c9\ub300\uac00 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubc14\ucf54\ub4dc\uc758 \uc2ed\uc9c4\uc218 \ub9c8\uc9c0\ub9c9 \uc790\ub9ac\ub294 \uccb4\ud06c\uc12c \uc22b\uc790\uc774\uba70, \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ud55c\ub2e4.<\/p>\r\n\r\n<p>(digitN = \uc2ed\uc9c4\uc218\uc758 N\ubc88\uc9f8 \uc790\ub9ac, check_digit = \ub9c8\uc9c0\ub9c9 \uc790\ub9ac)<\/p>\r\n\r\n<pre>\r\nCheckSum = 3*(digit1 + digit3 + digit5 + digit7 + digit9 + digit11) + digit2 + digit4 + digit6 + digit8 + digit10;\r\nCode = CheckSum % 10;\r\nIf (Code == 0) check_digit = 0;\r\nelse check_digit = (10 - Code);<\/pre>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar2.png\" style=\"float:right; height:265px; width:214px\" \/><\/p>\r\n\r\n<p>\ubc14\ucf54\ub4dc \uc2a4\uce90\ub108\ub294 \uce74\uba54\ub77c\ub97c \uc774\uc6a9\ud574 \ubc14\ucf54\ub4dc\uc758 \uc881\uc740 \uc774\ubbf8\uc9c0\ub97c \uc77d\uc5b4\ub0b4\uace0, \uc774\ubbf8\uc9c0\ub85c\ubd80\ud130 \ucf54\ub4dc\ub97c \ucd94\ub860\ud574\ub0b8\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar3.png\" style=\"height:58px; width:593px\" \/><\/p>\r\n\r\n<p>\ubc14\ucf54\ub4dc\uac00 \ub4a4\uc9d1\ud600\uc9c4\ucc44\ub85c \uc77d\ud78c\ub2e4\uba74 \ucf54\ub4dc\uac00 \ubc18\ub300 \ubc29\ud5a5\uc73c\ub85c \uc77d\ud788\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar4.png\" style=\"height:55px; width:590px\" \/><\/p>\r\n\r\n<p>\uc548\ud0c0\uae5d\uac8c\ub3c4, \uc0c9\uc0c1 \ub300\ube44\uc758 \ubd80\uc871\uc774\ub098 \ubc18\uc9dd\uc774\ub294 \ubb3c\uccb4\uc758 \ubc18\uc0ac\ub54c\ubb38\uc5d0 \uc774 \uc774\ubbf8\uc9c0\ub294 \uc5b8\uc81c\ub098 \uba85\ud655\ud558\uc9c0\ub294 \uc54a\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar5.png\" style=\"height:48px; width:602px\" \/><\/p>\r\n\r\n<p>\uc704\uc758 \uadf8\ub9bc\uc744 \ubcf4\uba74, \ud655\uc2e4\ud788 \ubc1d\uc740 \ub9c9\ub300\uc778\uc9c0 \uc5b4\ub450\uc6b4 \ub9c9\ub300\uc778\uc9c0 \uc81c\ub300\ub85c \uc54c\uc544\ubcfc \uc218\uac00 \uc5c6\ub2e4. \ud558\uc9c0\ub9cc \uc774\ub7f0 \uacbd\uc6b0\uc5d0\ub3c4 \ub300\ubd80\ubd84\uc740 \ubc14\ucf54\ub4dc\ub97c \uc778\uc2dd\ud560 \uc218 \uc788\ub294\ub370, \uadf8 \uc774\uc720\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4. \uccab\uc9f8, 128\uac00\uc9c0\uc758 \uac00\ub2a5\ud55c 7-\ube44\ud2b8 \uc22b\uc790\uc911 20\uac1c\ub9cc\uc774 \uc0ac\uc6a9\ub41c\ub2e4. \ub458\uc9f8, \uccb4\ud06c\uc12c\uc774 \ub9de\uc544 \ub5a8\uc5b4\uc9c0\ub294 \uacbd\uc6b0\uc5d0\ub9cc \uc633\uc740 \ubc14\ucf54\ub4dc\uc774\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc5ec\ub7ec \ubc14\ucf54\ub4dc\uac00 \ub9e4\uce58\ub41c\ub2e4\uace0 \ud574\ub3c4, \uadf8\uc911 \ub450 \uac1c \uc774\uc0c1\uc774 \uac19\uc740 \ubaa9\uc801\uc73c\ub85c \ub370\uc774\ud130\ubca0\uc774\uc2a4\uc5d0 \uc800\uc7a5\ub418\uc5b4\uc788\uc744 \uac00\ub2a5\uc131\uc740 \ud76c\ubc15\ud558\ub2e4.<\/p>\r\n\r\n<p>\uc790, \uc601\uc6b0\uc758 \uc704\uae30\ub97c \ub9c9\uae30 \uc704\ud574 \uc190\uc0c1\ub41c \ubc14\ucf54\ub4dc\uc640 \ub9e4\uce6d\ub420 \uc218 \uc788\ub294 \ubaa8\ub4e0 \uc633\uc740 \ubc14\ucf54\ub4dc\uc758 \ubaa9\ub85d\uc744 \ucd9c\ub825\ud574\uc8fc\uc790(\ub4a4\uc9d1\ud600\uc11c \uc77d\ud78c \uacbd\uc6b0\ub3c4 \uace0\ub824\ud560\uac83!). \uc190\uc0c1\ub41c \ubc14\ucf54\ub4dc\ub294 0\uacfc 1, \uadf8\ub9ac\uace0 ?(\uc190\uc0c1\ub418\uc5b4 \uc54c \uc218 \uc5c6\ub294 \ubd80\ubd84)\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 95\uc790\uc758 \ucf54\ub4dc\ub85c \ud45c\ud604\ub41c\ub2e4<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub450 \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub294\ub370, \uccab\uc9f8 \uc904\uc5d0\ub294 \ubc14\ucf54\ub4dc\uc758 \uccab 50\uc790\uac00, \ub458\uc9f8 \uc904\uc5d0\ub294 \ubc14\ucf54\ub4dc\uc758 \ub9c8\uc9c0\ub9c9 45\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc785\ub825\uacfc \ub9e4\uce58\ub418\ub294 \uc62c\ubc14\ub978 \ubc14\ucf54\ub4dc\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud558\ub294\ub370, \ub9cc\uc57d \ub9e4\uce58\ub418\ub294 \uac1c\uc218\uac00 8\ubcf4\ub2e4 \ud06c\ub2e4\uba74 9\ub97c \ucd9c\ub825\ud55c\ub2e4. \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130\ub294 \ub9e4\uce58\ub418\ub294 \ubaa8\ub4e0 \ubc14\ucf54\ub4dc\ub97c \uc99d\uac00\ud558\ub294 \uc21c\uc11c\ub85c \ud55c \uc904\uc5d0 \ud55c \uac1c\uc529 \ucd9c\ub825\ud55c\ub2e4. (\ub2e8, \ub9e4\uce58\ub418\ub294 \ubc14\ucf54\ub4dc\uc758 \uc218\uac00 9 \uc774\uc0c1\uc774\ub77c\uba74 \uccab 8\uac1c\ub9cc \ucd9c\ub825\ud55c\ub2e4)<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2691","problem_lang":"1","title":"Scanning UPC Barcodes","description":"<p><img alt=\"\" src=\"\/upload\/images\/bar1.png\" style=\"float:right; height:123px; width:237px\" \/>The UPC-A bar code encodes 12 decimal digits in alternating &ldquo;dark&rdquo; and &ldquo;light&rdquo; bars as 15 patterns SLLLLLLMRRRRRRE where S is the start pattern 101 (1 indicates &ldquo;dark&rdquo; and 0 indicates &ldquo;light&rdquo;), M is the middle pattern 01010 and E is the end pattern 101. Each L is a left pattern corresponding to one of the first 6 digits and each R is a right pattern corresponding to one of the last 6 digits. The width of each bar is a multiple of a fixed value (the X dimension). Again a 1 indicates a &ldquo;dark&rdquo; band and 0 indicates a &ldquo;light&rdquo; band. The tick marks above the bar code illustration indicate the start of each code. There are 3 + 5 + 3 + 12*7 = 95 bands total. In addition there must be at least 9 &ldquo;light&rdquo; bands at either end of the bar code.<\/p>\r\n\r\n<p>The last decimal digit in the code is a check sum digit which is computed as follows:<\/p>\r\n\r\n<pre>\r\nCheckSum = 3*(digit1 + digit3 + digit5 + digit7 + digit9 + digit11) + digit2 + digit4 + digit6 + digit8 + digit10;\r\nCode = CheckSum % 10;\r\nIf (Code == 0) check_digit = 0;\r\nelse check_digit = (10 - Code);<\/pre>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar2.png\" style=\"float:right; height:265px; width:214px\" \/>A bar code scanner could use a camera to take a narrow image across the bar code and deduce the on\/off pattern of bands as below:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar3.png\" style=\"height:58px; width:593px\" \/><\/p>\r\n\r\n<p>if the code was scanned right side up or the following if it was scanned upside down:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar4.png\" style=\"height:55px; width:590px\" \/><\/p>\r\n\r\n<p>Again, the tick marks above each image indicate the start of each code.<\/p>\r\n\r\n<p>Unfortunately, the images are not always this clear due to lack of contrast or reflections off shiny material, as shown here:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/bar5.png\" style=\"height:48px; width:602px\" \/><\/p>\r\n\r\n<p>When scanning the image, it is not always clear whether a particular band is dark or light. It is often still possible to determine the bar code even if we do not know exactly whether a particular band is &ldquo;dark&rdquo; or &ldquo;light&rdquo;. First, only 20 of 128 possible 7-bit digit codes are used. Second, only codes with a correct check digit are valid. Finally, even if several codes match, it is unlikely that more than one will be in the database for a particular application. For this problem we will use a &lsquo;?&rsquo; to indicate uncertainty in the value of a particular band. The start (S), middle (M) and end (E) codes must match in order for a match to be considered valid.<\/p>\r\n\r\n<p>Write a program which takes as input a string of 95 characters, &lsquo;0&rsquo;, &lsquo;1&rsquo;, or &lsquo;?&rsquo; and outputs all valid UPC-A digit strings which could scan to that sequence of band values in either direction.<\/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 sets that follow. Each data set consists of 3 lines. The first line contains a single decimal integer which is the problem number (starting at 1). The second line contains the first 50 characters of the input string. The third line contains the final 45 characters of the input string. As noted above, the input string consists of only the characters &lsquo;0&rsquo;, &lsquo;1&rsquo;, or &lsquo;?&rsquo;.<\/p>\r\n","output":"<p>For each data set there are varying number of lines of output. If no UPC codes match the input string, then the only line of output should contain the problem number (starting at 1), a space, then the digit 0. If more than 8 codes match the input string, the first line of output contains the problem number, a space, then the digit 9. This line is followed by the first 8 codes which match, in ascending numeric order, one per line. Otherwise, the first line of output contains the problem number, a space, then a single decimal digit (1-8) which is the number of matching codes. This line is followed by the matching codes, in ascending numeric order, one per line.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]