문제
멀티버스 여행을 하다 공간이동 스킬을 잃어버린 한별이는 어느새 은하의 수중에 공간이동 스킬이 있는 것을 발견했다! 한별이는 공간이동 스킬을 돌려받기 위해 은하와 아래와 같은 내기를 하기로 했다.
은하만 알고 있는 1ドル$ 이상 10ドル^8$ 미만의 두 정수 $N,ドル $K$가 준비되어 있다. 한별이는 은하에게 아래와 같은 질문을 최대 $Q$번 할 수 있다.
? $x$ $y$
한별이는 $N\times K^a \equiv N\times K^b \pmod{10^8}$를 만족하는 두 개의 서로 다른 음이 아닌 정수 $a,ドル $b$ 중에서, $a$를 최소화하는 가장 작은 $b$의 값을 구해야 한다. 은하는 공정한 내기를 위해 항상 그러한 $b$가 존재하도록 $N,ドル $K$를 선택한다. 한별이는 이 내기에서 이길 수 있게끔 당신에게 프로그램을 작성해 줄 것을 부탁했다.
인터랙션
당신의 프로그램은 아래의 과정을 통해 표준입력과 표준출력으로 인터랙터와 상호작용해야 한다.
입력은 하나 이상의 테스트 케이스로 이루어져 있다. 먼저, 첫 번째 줄에 테스트 케이스의 개수 $T$가 주어진다. 각 테스트 케이스에 대해서 아래와 같이 상호작용해야 한다
아래 쿼리를 출력하면, 다음 줄에 쿼리의 답이 참이라면 YESNO
? $x$ $y$
아래 쿼리를 출력해서 답을 제출할 수 있다. 이 쿼리는 질문한 것으로 세지 않으며, 출력한 직후 해당 테스트 케이스에 대한 인터랙션은 종료된다.
마지막이 아닌 테스트 케이스에 대한 상호 작용이 종료되었다면 즉시 다음 테스트 케이스에 대한 상호 작용으로 넘어가야 하고, 마지막 테스트 케이스에 대한 상호 작용이 종료되었다면 즉시 프로그램을 종료해야 한다.
각 채점 데이터에 대하여, 모든 테스트 케이스에서 제출한 답이 정답이라면 맞았습니다!! 틀렸습니다 결과를 받는다. 단, 문제의 제한 안에 올바른 상호작용을 통해 답을 출력하지 못하면 예상치 못한 채점 결과를 받을 수 있다.
서브태스크 번호 배점 제한 1 35 $Q = 35$
2 65 $Q = 10$
예제 출력 1
복사
? 1 2
? 8 24
! 24
? 123 456
! 631
첫 번째 테스트 케이스에서 $N=21;$ $K=15$이다.
두 번째 테스트 케이스에서 $N=33,円 413,円 900;$ $K=34,円 653,円 426$이다.
힌트
당신의 프로그램은 무언가를 출력한 후 즉시 출력 버퍼를 비워야 한다. 다음은 언어별 출력 버퍼를 비우는 방법이다.
C — fflush(stdout)
C++ — std::cout.flush()
Python — sys.stdout.flush()
Java — System.out.flush()
그 외의 언어는 각 언어의 Documentation을 참고한다.
또한, 예제의 빈 줄은 입출력이 어떤 방식으로 이루어지는지 이해를 돕기 위해 의도적으로 추가된 것이며, 실제 입출력에는 빈 줄이 나타나지 않는다.
[{"problem_id":"33492","problem_lang":"0","title":"\uba40\ud2f0\ubc84\uc2a4\ub97c \uc5ec\ud589\ud558\ub294 \ud55c\ubcc4\uc774\ub97c \uc704\ud55c \uc548\ub0b4\uc11c","description":"<p>\uba40\ud2f0\ubc84\uc2a4 \uc5ec\ud589\uc744 \ud558\ub2e4 \uacf5\uac04\uc774\ub3d9 \uc2a4\ud0ac\uc744 \uc783\uc5b4\ubc84\ub9b0 \ud55c\ubcc4\uc774\ub294 \uc5b4\ub290\uc0c8 \uc740\ud558\uc758 \uc218\uc911\uc5d0 \uacf5\uac04\uc774\ub3d9 \uc2a4\ud0ac\uc774 \uc788\ub294 \uac83\uc744 \ubc1c\uacac\ud588\ub2e4! \ud55c\ubcc4\uc774\ub294 \uacf5\uac04\uc774\ub3d9 \uc2a4\ud0ac\uc744 \ub3cc\ub824\ubc1b\uae30 \uc704\ud574 \uc740\ud558\uc640 \uc544\ub798\uc640 \uac19\uc740 \ub0b4\uae30\ub97c \ud558\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc740\ud558\ub9cc \uc54c\uace0 \uc788\ub294 $1$ \uc774\uc0c1 $10^8$ \ubbf8\ub9cc\uc758 \ub450 \uc815\uc218 $N$, $K$\uac00 \uc900\ube44\ub418\uc5b4 \uc788\ub2e4. \ud55c\ubcc4\uc774\ub294 \uc740\ud558\uc5d0\uac8c \uc544\ub798\uc640 \uac19\uc740 \uc9c8\ubb38\uc744 \ucd5c\ub300 $Q$\ubc88 \ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><span style=\"color:#e74c3c;\"><code>?<\/code> $x$ $y$<\/span>: $N\\times K^x \\equiv N\\times K^y \\pmod{10^8}$\uc778\uac00?<\/li>\r\n<\/ul>\r\n\r\n<p>\ud55c\ubcc4\uc774\ub294 $N\\times K^a \\equiv N\\times K^b \\pmod{10^8}$\ub97c \ub9cc\uc871\ud558\ub294 \ub450 \uac1c\uc758 \uc11c\ub85c \ub2e4\ub978 \uc74c\uc774 \uc544\ub2cc \uc815\uc218 $a$, $b$ \uc911\uc5d0\uc11c, $a$\ub97c \ucd5c\uc18c\ud654\ud558\ub294 \uac00\uc7a5 \uc791\uc740 $b$\uc758 \uac12\uc744 \uad6c\ud574\uc57c \ud55c\ub2e4. \uc740\ud558\ub294 \uacf5\uc815\ud55c \ub0b4\uae30\ub97c \uc704\ud574 \ud56d\uc0c1 \uadf8\ub7ec\ud55c $b$\uac00 \uc874\uc7ac\ud558\ub3c4\ub85d $N$, $K$\ub97c \uc120\ud0dd\ud55c\ub2e4. \ud55c\ubcc4\uc774\ub294 \uc774 \ub0b4\uae30\uc5d0\uc11c \uc774\uae38 \uc218 \uc788\uac8c\ub054 \ub2f9\uc2e0\uc5d0\uac8c \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574 \uc904 \uac83\uc744 \ubd80\ud0c1\ud588\ub2e4.<\/p>\r\n","input":"","output":"","hint":"<p>\ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \ubb34\uc5b8\uac00\ub97c \ucd9c\ub825\ud55c \ud6c4 \uc989\uc2dc \ucd9c\ub825 \ubc84\ud37c\ub97c \ube44\uc6cc\uc57c \ud55c\ub2e4. \ub2e4\uc74c\uc740 \uc5b8\uc5b4\ubcc4 \ucd9c\ub825 \ubc84\ud37c\ub97c \ube44\uc6b0\ub294 \ubc29\ubc95\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>C &mdash; <span style=\"color:#e74c3c;\"><code>fflush(stdout)<\/code><\/span><\/li>\r\n\t<li>C++ &mdash; <span style=\"color:#e74c3c;\"><code>std::cout.flush()<\/code><\/span><\/li>\r\n\t<li>Python &mdash; <span style=\"color:#e74c3c;\"><code>sys.stdout.flush()<\/code><\/span><\/li>\r\n\t<li>Java &mdash; <span style=\"color:#e74c3c;\"><code>System.out.flush()<\/code><\/span><\/li>\r\n\t<li>\uadf8 \uc678\uc758 \uc5b8\uc5b4\ub294 \uac01 \uc5b8\uc5b4\uc758 Documentation\uc744 \ucc38\uace0\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub610\ud55c, \uc608\uc81c\uc758 \ube48 \uc904\uc740 \uc785\ucd9c\ub825\uc774 \uc5b4\ub5a4 \ubc29\uc2dd\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c0\ub294\uc9c0 \uc774\ud574\ub97c \ub3d5\uae30 \uc704\ud574 \uc758\ub3c4\uc801\uc73c\ub85c \ucd94\uac00\ub41c \uac83\uc774\uba70, \uc2e4\uc81c \uc785\ucd9c\ub825\uc5d0\ub294 \ube48 \uc904\uc774 \ub098\ud0c0\ub098\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1\\leq T\\leq 100$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$Q = 35$<\/p>\r\n","subtask2":"<p>$Q = 10$<\/p>\r\n","custom_protocol":"<p>\ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \uc544\ub798\uc758 \uacfc\uc815\uc744 \ud1b5\ud574 \ud45c\uc900\uc785\ub825\uacfc \ud45c\uc900\ucd9c\ub825\uc73c\ub85c \uc778\ud130\ub799\ud130\uc640 \uc0c1\ud638\uc791\uc6a9\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc740 \ud558\ub098 \uc774\uc0c1\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uba3c\uc800, \uccab \ubc88\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\uc5d0 \ub300\ud574\uc11c \uc544\ub798\uc640 \uac19\uc774 \uc0c1\ud638\uc791\uc6a9\ud574\uc57c \ud55c\ub2e4<\/p>\r\n\r\n<p>\uc544\ub798 \ucffc\ub9ac\ub97c \ucd9c\ub825\ud558\uba74, \ub2e4\uc74c \uc904\uc5d0 \ucffc\ub9ac\uc758 \ub2f5\uc774 \ucc38\uc774\ub77c\uba74 <span style=\"color:#e74c3c;\"><code>YES<\/code><\/span>\uac00, \uac70\uc9d3\uc774\ub77c\uba74 <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \ucffc\ub9ac\ub294 \ud558\ub098\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\uc11c \ucd5c\ub300 $Q$\ubc88\ub9cc \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><span style=\"color:#e74c3c;\"><code>?<\/code> $x$ $y$<\/span>\u3164(\ub2e8, $0 \\leq x, y \\leq 10^9;$ $x$, $y$\ub294 \uc815\uc218)<\/li>\r\n<\/ul>\r\n\r\n<p>\uc544\ub798 \ucffc\ub9ac\ub97c \ucd9c\ub825\ud574\uc11c \ub2f5\uc744 \uc81c\ucd9c\ud560 \uc218 \uc788\ub2e4. \uc774 \ucffc\ub9ac\ub294 \uc9c8\ubb38\ud55c \uac83\uc73c\ub85c \uc138\uc9c0 \uc54a\uc73c\uba70, \ucd9c\ub825\ud55c \uc9c1\ud6c4 \ud574\ub2f9 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud55c \uc778\ud130\ub799\uc158\uc740 \uc885\ub8cc\ub41c\ub2e4.<\/p>\r\n\r\n<ul style=\"list-style-type:square;\">\r\n\t<li><span style=\"color:#e74c3c;\"><code>!<\/code><\/span> <span style=\"color:#e74c3c;\">$b$<\/span><\/li>\r\n<\/ul>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9\uc774 \uc544\ub2cc \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud55c \uc0c1\ud638 \uc791\uc6a9\uc774 \uc885\ub8cc\ub418\uc5c8\ub2e4\uba74 \uc989\uc2dc \ub2e4\uc74c \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud55c \uc0c1\ud638 \uc791\uc6a9\uc73c\ub85c \ub118\uc5b4\uac00\uc57c \ud558\uace0, \ub9c8\uc9c0\ub9c9 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud55c \uc0c1\ud638 \uc791\uc6a9\uc774 \uc885\ub8cc\ub418\uc5c8\ub2e4\uba74 \uc989\uc2dc \ud504\ub85c\uadf8\ub7a8\uc744 \uc885\ub8cc\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ucc44\uc810 \ub370\uc774\ud130\uc5d0 \ub300\ud558\uc5ec, \ubaa8\ub4e0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\uc11c \uc81c\ucd9c\ud55c \ub2f5\uc774 \uc815\ub2f5\uc774\ub77c\uba74 <span style=\"color:#16a085;\"><strong>\ub9de\uc558\uc2b5\ub2c8\ub2e4!!<\/strong><\/span>, \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\uc11c \uc81c\ucd9c\ud55c \ub2f5\uc774 \uc624\ub2f5\uc774\ub77c\uba74 <span style=\"color:#c0392b;\">\ud2c0\ub838\uc2b5\ub2c8\ub2e4<\/span> \uacb0\uacfc\ub97c \ubc1b\ub294\ub2e4. \ub2e8, \ubb38\uc81c\uc758 \uc81c\ud55c \uc548\uc5d0 \uc62c\ubc14\ub978 \uc0c1\ud638\uc791\uc6a9\uc744 \ud1b5\ud574 \ub2f5\uc744 \ucd9c\ub825\ud558\uc9c0 \ubabb\ud558\uba74 \uc608\uc0c1\uce58 \ubabb\ud55c \ucc44\uc810 \uacb0\uacfc\ub97c \ubc1b\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n","sample_explain_1":"<p>\uccab \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\uc11c $N=21;$ $K=15$\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\uc11c $N=33\\, 413\\, 900;$ $K=34\\, 653\\, 426$\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"33492","problem_lang":"1","title":"The Hanbyeol's Guide to the Multiverse","description":"<p>While traveling through the multiverse, Hanbyeol lost her teleportation skill and soon discovered that Eunha had the teleportation skill! To regain her teleportation skills, Hanbyeol decided to make a bet with Eunha as follows.<\/p>\r\n\r\n<p>Eunha has prepared two hidden integers $N$ and $K$, which only she knows and satisfies $1\\leq N,K&lt;10^8$. Hanbyeol can ask Eunha up to $Q$ questions of the following form:<\/p>\r\n\r\n<ul>\r\n\t<li><span style=\"color:#e74c3c;\"><code>?<\/code> $x$ $y$<\/span>: Is $N\\times K^x\\equiv N\\times K^y\\pmod{10^8}$ true?<\/li>\r\n<\/ul>\r\n\r\n<p>Hanbyeol needs to find the smallest value of $b$ among two distinct non-negative integers $a$ and $b$ that satisfy $N\\times K^a\\equiv N\\times K^b\\pmod{10^8}$, while minimizing $a$. Eunha chooses $N$ and $K$ such that there is always such a $b$ for a fair bet. Hanbyeol asks you to write a program to help her win this bet.<\/p>\r\n","input":"","output":"","hint":"<p>You must flush the output immediately after printing something. To flush you can use:<\/p>\r\n\r\n<ul>\r\n\t<li>C &mdash;&nbsp;<span style=\"color:#e74c3c;\"><code>fflush(stdout)<\/code><\/span><\/li>\r\n\t<li>C++ &mdash;&nbsp;<span style=\"color:#e74c3c;\"><code>std::cout.flush()<\/code><\/span><\/li>\r\n\t<li>Python &mdash;&nbsp;<span style=\"color:#e74c3c;\"><code>sys.stdout.flush()<\/code><\/span><\/li>\r\n\t<li>Java &mdash;&nbsp;<span style=\"color:#e74c3c;\"><code>System.out.flush()<\/code><\/span><\/li>\r\n\t<li>read the documentation for other languages.<\/li>\r\n<\/ul>\r\n\r\n<p>Also, note that the empty lines in the example input and output are for the sake of clarity, and do not occur in the real interaction.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1\\leq T\\leq 100$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$Q=35$<\/p>\r\n","subtask2":"<p>$Q=10$<\/p>\r\n","custom_protocol":"<p>Your program should interact with the interactor through standard input and standard output as follows.<\/p>\r\n\r\n<p>The input consists of one or more test cases. First, the number of test cases $T$ is given. For each test case, you must interact as follows:<\/p>\r\n\r\n<p>By printing the query below, you will receive a response on the next line. If the answer to the query is true, <span style=\"color:#e74c3c;\"><code>YES<\/code><\/span> will be given; if false, <span style=\"color:#e74c3c;\"><code>NO<\/code><\/span> will be given. This query can be used a maximum of $Q$ times within a single test case.<\/p>\r\n\r\n<ul>\r\n\t<li><span style=\"color:#e74c3c;\"><code>?<\/code> $x$ $y$<\/span>\u3164($0 \\leq x, y \\leq 10^9;$ $x$, $y$ are integers)<\/li>\r\n<\/ul>\r\n\r\n<p>You can submit the answer by printing the following query. This query does not count as a question. The interaction for this test case ends after printing this query.<\/p>\r\n\r\n<ul>\r\n\t<li><span style=\"color:#e74c3c;\"><code>!<\/code> $b$<\/span><\/li>\r\n<\/ul>\r\n\r\n<p>If the interaction for the previous test case has ended, you must immediately move on to the interaction for the next test case. If the interaction for the last test case has ended, you must immediately terminate the program.<\/p>\r\n\r\n<p>If the submitted answer is correct for all test cases, you will receive <span style=\"color:#16a085;\"><strong>Accepted<\/strong><\/span>; if at least one of them is incorrect, you will receive <span style=\"color:#c0392b;\">Wrong Answer<\/span>. However, unexpected results may happen if you do not print the solution through proper interactions in the limitations of the problem provided.<\/p>\r\n","sample_explain_1":"<p>In the first test case, $N=21;$ $K=15$.<\/p>\r\n\r\n<p>In the second test case, $N=33\\, 413\\, 900;$ $K=34\\, 653\\, 426$.<\/p>\r\n"}]