시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

암호학에서, 시저 암호(또는 시프트 암호, 시저 코드, 시저 시프트)는 가장 간단하면서 많이 알려진 암호화 기술 중 하나이다. "시저 암호"라는 이름은 비밀 통신을 위해 이 방법을 개발한 율리우스 시저의 이름을 딴 것이다. 시저 암호는 대치 암호의 한 종류로써, 원문의 각 글자가 어떤 일정한 수만큼의 뒷 순서의 알파벳으로 대체되는 방식이다. (단, Z의 다음 알파벳은 A로 한다) 예를 들어, 대문자 알파벳의 일반적인 순서를 따르면서 3만큼 시프트(이동) 시키면, A는 D로 대체되고, B는 E로, C는 F로... 그런 식으로 변환되어서 마지막 X, Y, Z는 다시 A, B, C로 대체된다. 이런 식으로 알파벳 순서에서 X만큼 뒤로 옮기는 암호화 방법의 "시프트 값"을 X라고 하겠다.

당신에게 어떤 알파벳 순서 A, 원문 W, 시저 암호화된 문자열 S가 주어진다.

암호문을 해독했을 때 그 해독한 문자열에서 원문이 단 한 번만 나타난다고 할 때, 암호화 할 때 쓰였다고 추측 가능한 시프트 값을 ([0,|A|-1] 범위에서) 모두 찾아라.

입력

입력의 첫 줄에는 테스트 케이스의 수를 의미하는 정수 N이 있다. 각 테스트 케이스는 알파벳의 순서 A, 원문 W, 암호문 S가 3줄에 걸쳐 순서대로 쓰여 있다. 알파벳 순서 A는 알파벳 소문자, 대문자, 그리고 숫자만을 포함하며, 이 순서는 사전순이 아닐 수도 있다 (예제 입력의 3번째 테스트 케이스를 참고하라). A의 모든 문자는 다르다.

입력 범위 : 3 <= |A| <= 62, 1 <= |W| <= 50,000, 3 <= |S| <= 500,000.

출력

각 테스트 케이스에 대해 1줄씩 출력한다. 만약 해독된 암호문에서 원문이 단 한번만 등장하게 하는 암호화 방법이 존재하지 않는다면, 즉 조건을 만족하는 암호문의 시프트 값이 존재하지 않는다면 "no solution"을 출력한다 (따옴표 제외). 만약 오직 하나의 시프트 값만이 조건을 만족한다면, "unique: #" (단, #는 조건을 만족하는 시프트 값) 을 출력한다 (따옴표 제외). 만약 조건을 만족하는 시프트 값이 여러 개 존재한다면, "ambiguous: " 를 출력하고 그 뒤에 오름차순으로 정렬된 조건을 만족하는 시프트 값의 목록을 출력한다.

자세한 사항은 예제 출력을 참고하라.

예제 입력 1

4
ABC
ABC
ABCBBBABC
ABC
ABC
ABCBCAABC
D7a
D7a
D7aaD77aDD7a
ABC
ABC
ABC

예제 출력 1

no solution
unique: 1
ambiguous: 1 2
unique: 0
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(\ub2e8, Z\uc758 \ub2e4\uc74c \uc54c\ud30c\ubcb3\uc740 A\ub85c \ud55c\ub2e4)&nbsp;\uc608\ub97c \ub4e4\uc5b4, \ub300\ubb38\uc790 \uc54c\ud30c\ubcb3\uc758 \uc77c\ubc18\uc801\uc778 \uc21c\uc11c\ub97c \ub530\ub974\uba74\uc11c 3\ub9cc\ud07c \uc2dc\ud504\ud2b8(\uc774\ub3d9) \uc2dc\ud0a4\uba74, A\ub294 D\ub85c \ub300\uccb4\ub418\uace0, B\ub294 E\ub85c, C\ub294 F\ub85c... \uadf8\ub7f0 \uc2dd\uc73c\ub85c \ubcc0\ud658\ub418\uc5b4\uc11c \ub9c8\uc9c0\ub9c9 X, Y, Z\ub294 \ub2e4\uc2dc A, B, C\ub85c \ub300\uccb4\ub41c\ub2e4. \uc774\ub7f0 \uc2dd\uc73c\ub85c \uc54c\ud30c\ubcb3 \uc21c\uc11c\uc5d0\uc11c X\ub9cc\ud07c \ub4a4\ub85c \uc62e\uae30\ub294 \uc554\ud638\ud654 \ubc29\ubc95\uc758 &quot;\uc2dc\ud504\ud2b8 \uac12&quot;\uc744 X\ub77c\uace0 \ud558\uaca0\ub2e4.<\/p>\r\n\r\n<p>\ub2f9\uc2e0\uc5d0\uac8c \uc5b4\ub5a4 \uc54c\ud30c\ubcb3 \uc21c\uc11c A, \uc6d0\ubb38 W, \uc2dc\uc800 \uc554\ud638\ud654\ub41c \ubb38\uc790\uc5f4 S\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc554\ud638\ubb38\uc744 \ud574\ub3c5\ud588\uc744 \ub54c \uadf8 \ud574\ub3c5\ud55c \ubb38\uc790\uc5f4\uc5d0\uc11c&nbsp;\uc6d0\ubb38\uc774 \ub2e8 \ud55c \ubc88\ub9cc \ub098\ud0c0\ub09c\ub2e4\uace0 \ud560 \ub54c,&nbsp;\uc554\ud638\ud654 \ud560 \ub54c \uc4f0\uc600\ub2e4\uace0 \ucd94\uce21 \uac00\ub2a5\ud55c \uc2dc\ud504\ud2b8 \uac12\uc744&nbsp;([0,|A|-1] \ubc94\uc704\uc5d0\uc11c) \ubaa8\ub450 \ucc3e\uc544\ub77c.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 N\uc774 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \uc54c\ud30c\ubcb3\uc758 \uc21c\uc11c A, \uc6d0\ubb38 W, \uc554\ud638\ubb38 S\uac00 3\uc904\uc5d0 \uac78\uccd0 \uc21c\uc11c\ub300\ub85c \uc4f0\uc5ec \uc788\ub2e4. \uc54c\ud30c\ubcb3 \uc21c\uc11c A\ub294 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790, \ub300\ubb38\uc790, \uadf8\ub9ac\uace0&nbsp;\uc22b\uc790\ub9cc\uc744 \ud3ec\ud568\ud558\uba70, \uc774 \uc21c\uc11c\ub294&nbsp;\uc0ac\uc804\uc21c\uc774 \uc544\ub2d0 \uc218\ub3c4 \uc788\ub2e4&nbsp;(\uc608\uc81c \uc785\ub825\uc758 3\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub97c \ucc38\uace0\ud558\ub77c). A\uc758 \ubaa8\ub4e0 \ubb38\uc790\ub294 \ub2e4\ub974\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825 \ubc94\uc704 :&nbsp;3&nbsp;&lt;=&nbsp;|A| &lt;= 62, 1 &lt;= |W| &lt;= 50,000, 3 &lt;= |S| &lt;= 500,000.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 1\uc904\uc529 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \ud574\ub3c5\ub41c \uc554\ud638\ubb38\uc5d0\uc11c \uc6d0\ubb38\uc774 \ub2e8 \ud55c\ubc88\ub9cc \ub4f1\uc7a5\ud558\uac8c \ud558\ub294 \uc554\ud638\ud654 \ubc29\ubc95\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74, \uc989 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \uc554\ud638\ubb38\uc758 \uc2dc\ud504\ud2b8 \uac12\uc774&nbsp;\uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74 &quot;no solution&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4&nbsp;(\ub530\uc634\ud45c \uc81c\uc678). \ub9cc\uc57d \uc624\uc9c1 \ud558\ub098\uc758 \uc2dc\ud504\ud2b8 \uac12\ub9cc\uc774 \uc870\uac74\uc744 \ub9cc\uc871\ud55c\ub2e4\uba74, &quot;unique: #&quot; (\ub2e8, #\ub294 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \uc2dc\ud504\ud2b8 \uac12) \uc744&nbsp;\ucd9c\ub825\ud55c\ub2e4&nbsp;(\ub530\uc634\ud45c \uc81c\uc678). \ub9cc\uc57d \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \uc2dc\ud504\ud2b8 \uac12\uc774 \uc5ec\ub7ec \uac1c \uc874\uc7ac\ud55c\ub2e4\uba74, &quot;ambiguous: &quot; \ub97c \ucd9c\ub825\ud558\uace0 \uadf8 \ub4a4\uc5d0 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uc815\ub82c\ub41c \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \uc2dc\ud504\ud2b8 \uac12\uc758 \ubaa9\ub85d\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc790\uc138\ud55c \uc0ac\ud56d\uc740 \uc608\uc81c \ucd9c\ub825\uc744 \ucc38\uace0\ud558\ub77c.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"1893","problem_lang":"1","title":"Caesar cipher","description":"<p>In cryptography, a Caesar cipher, also known as Caesar&#39;s cipher, the shift cipher, Caesar&#39;s code or Caesar shift, is one of the simplest and most widely known encryption techniques. It is a type of substitution cipher in which each letter in the plaintext is replaced by a letter some fixed number of positions down the alphabet (wrapping around in the end). For example, given an alphabet of capital letters in usual order, with a shift of 3, A would be replaced by D, B would become E, and so on, with Z being replaced by C. The method is named after Julius C Caesar, who used it in his private correspondence.<\/p>\r\n\r\n<p>We are given an alphabet A, a string S which is encrypted using a shift cipher and a plaintext word W.<\/p>\r\n\r\n<p>Find the possible values of shifts (in the range [0, |A|-1]) used in encryption if we know that the unencrypted text contains exactly one occurrence of the word W.<\/p>\r\n","input":"<p>Input starts with an integer N on a line, the number of test cases. Each cases contains three strings on separate lines, alphabet A, plaintext word W and encrypted text S. Alphabet A will contain only letters and digits ([A-Z][a-z][0-9]) and its symbol order is not necessarily lexicographical (see the third sample case). A will not contain duplicate symbols. The constraints are as given: 3&lt;=|A|&lt;=62, 1&lt;=|W|&lt;=50,000, 3&lt;=|S|&lt;=500,000.<\/p>\r\n","output":"<p>For each test case print one line of output. If there are no shifts that would satisfy the condition of W being a part of the unencrypted S, print &quot;no solution&quot;. If there is exactly one shift that could have been used, print &quot;unique: #&quot; where # is the shift value. It there are more than one possible shifts print &quot;ambiguous: &quot; followed by the sorted list of shift values.<\/p>\r\n\r\n<p>For clarification, see the sample output.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]