문제
이 문제는 인터랙티브 문제입니다.
고슴도치 귀엽지 않나요?
귀여운 고슴도치!
키파는 "성게 그래프"도 있는데 이렇게 귀여운 고슴도치에 대응하는 그래프가 없는 것은 아무래도 말이 안 된다고 생각해서, 고슴도치 그래프 를 만들기로 했습니다.
고슴도치 그래프 는 다음과 같은 두 가지 성질을 만족하는 방향 없는 연결 그래프입니다. 이 그래프에는 self-loop(한 정점 $v$와 같은 정점인 $v$를 연결하는 간선)와 multiedge(서로 다른 두 정점 $v$와 $w$에 대해 $v$와 $w$를 연결하는 서로 다른 간선 $e_{1}$과 $e_{2}$)가 없습니다.
사이클이 정확히 하나 존재합니다. 이 사이클을 고슴도치의 몸통 이라고 부르겠습니다. 몸통의 크기 는 사이클에 속한 정점의 개수입니다. 사이클이 항상 존재하기 때문에 몸통의 크기는 항상 3ドル$ 이상 이라는 점에 유의하세요.
사이클에 속하지 않은 정점의 차수가 1ドル$입니다.
키파는 고슴도치 그래프를 열심히 키운 결과 각 그래프가 $V = 10^{6}$개의 정점으로 이루어진 고슴도치 그래프를 총 $N$개 가지게 되었습니다. 키파는 각 고슴도치 그래프를 다음과 같은 방법으로 어루만져 주기로 했습니다.
각 노드에 붙어 있는 간선의 방향을 한 방향으로 정하되, 모든 노드가 나가는 방향의 간선을 정확히 하나 가지도록 정합니다. 임의의 고슴도치 그래프에 대해, 간선의 방향을 위 조건을 만족하도록 정하는 것이 항상 가능함을 증명할 수 있습니다.
다음을 최대 $M = 1,204円$번 반복합니다.
정점 $v$와 $\left\lfloor10^{12.4}\right\rfloor = 2,511円,886円,431円,509円$ 이하의 아무 양의 정수 $x$를 고릅니다.
$v$에서 화살표를 $x$번 따라가며 고슴도치 그래프를 쓰다듬습니다. 모든 노드가 나가는 방향의 간선이 하나 있기 때문에 도착 노드는 하나로 정해지며, 이 도착 노드가 어디인지 알 수 있습니다.
과정 1은 키파가 이미 임의로 방향을 정했습니다.
키파는 고슴도치 그래프를 어루만져 주는 것뿐만 아니라 각 고슴도치 그래프의 몸통의 크기를 알고 싶어했습니다. 하지만 키파는 이걸 생각하기에는 머리가 너무 아팠기 때문에, 과정 2를 여러분에게 맡기기로 했습니다.
여러분은 각 고슴도치 그래프에 대해 과정 2를 시행한 후 얻은 정보로 각 고슴도치의 몸통의 크기를 알아내야 합니다.
인터랙션
여러분은 채점 시스템에게 다음과 같은 질의를 할 수 있습니다.
? v x: 정점 $v$에서 화살표를 $x$번 따라가서 도착한 노드 번호를 돌려줍니다. 1ドル \leq v \leq V,ドル 1ドル \leq x \leq \left\lfloor 10^{12.4}\right\rfloor = 2,511円,886円,431円,509円$를 만족해야 합니다. 이 질의는 그래프 당 최대 $M$번 할 수 있으며, 결과는 도착 정점 번호를 나타내는 1ドル$ 이상 $V$ 이하의 정수입니다.! s: 현재 어루만지고 있는 그래프의 몸통의 크기 $s$를 채점 프로그램에게 알려주는 질의입니다. 그래프 당 한 번 질의할 수 있으며, 결과는 몸통의 크기가 맞았음을 의미하는 1ドル$이거나 몸통의 크기가 틀렸음을 의미하는 $-1$입니다. 크기가 맞은 경우 다음 그래프로 넘어갑니다.
질의를 출력한 후에는 표준 출력 버퍼를 flush해 주어야 합니다. 언어별로 표준 출력 버퍼를 flush하는 방법은 다음과 같습니다.
C: fflush(stdout)
C++: std::cout << std::flush
Java: System.out.flush()
Python: sys.stdout.flush()
Kotlin: System.out.flush()
어떤 질의에서든지 음수를 응답으로 받았을 경우 프로그램을 즉시 정상 종료해야 하며, 이 경우 틀렸습니다 를 받습니다. 프로그램을 즉시 종료하지 않을 경우 다른 결과를 받을 수 있음에 주의하세요.
$N$개의 ! 질의에서 모두 1ドル$을 받은 경우 프로그램을 종료하면 그 테스트 케이스에 대해서는 맞은 것으로 처리됩니다.
예제 출력 1
복사
? 1 2
? 2 5
? 10 11
! 11
[{"problem_id":"23049","problem_lang":"0","title":"\uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504","description":"<p><strong>\uc774 \ubb38\uc81c\ub294 \uc778\ud130\ub799\ud2f0\ube0c \ubb38\uc81c\uc785\ub2c8\ub2e4.<\/strong><\/p>\r\n\r\n<p>\uace0\uc2b4\ub3c4\uce58 \uadc0\uc5fd\uc9c0 \uc54a\ub098\uc694?<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c7ecdd2c-48dd-4704-add7-aad850b72d12\/-\/preview\/\" style=\"width: 640px; height: 425px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadc0\uc5ec\uc6b4 \uace0\uc2b4\ub3c4\uce58!<\/p>\r\n\r\n<p>\ud0a4\ud30c\ub294 &quot;\uc131\uac8c \uadf8\ub798\ud504&quot;\ub3c4 \uc788\ub294\ub370 \uc774\ub807\uac8c \uadc0\uc5ec\uc6b4 \uace0\uc2b4\ub3c4\uce58\uc5d0 \ub300\uc751\ud558\ub294 \uadf8\ub798\ud504\uac00 \uc5c6\ub294 \uac83\uc740 \uc544\ubb34\ub798\ub3c4 \ub9d0\uc774 \uc548 \ub41c\ub2e4\uace0 \uc0dd\uac01\ud574\uc11c, <strong>\uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504<\/strong>\ub97c \ub9cc\ub4e4\uae30\ub85c \ud588\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p><strong>\uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504<\/strong>\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \uc131\uc9c8\uc744 \ub9cc\uc871\ud558\ub294 \ubc29\ud5a5 \uc5c6\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\uc785\ub2c8\ub2e4. \uc774 \uadf8\ub798\ud504\uc5d0\ub294 self-loop(\ud55c \uc815\uc810 $v$\uc640 \uac19\uc740 \uc815\uc810\uc778 $v$\ub97c \uc5f0\uacb0\ud558\ub294 \uac04\uc120)\uc640 multiedge(\uc11c\ub85c \ub2e4\ub978 \ub450 \uc815\uc810 $v$\uc640 $w$\uc5d0 \ub300\ud574 $v$\uc640 $w$\ub97c \uc5f0\uacb0\ud558\ub294 \uc11c\ub85c \ub2e4\ub978 \uac04\uc120 $e_{1}$\uacfc $e_{2}$)\uac00 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc0ac\uc774\ud074\uc774 \uc815\ud655\ud788 \ud558\ub098 \uc874\uc7ac\ud569\ub2c8\ub2e4. \uc774 \uc0ac\uc774\ud074\uc744 \uace0\uc2b4\ub3c4\uce58\uc758 <strong>\ubab8\ud1b5<\/strong>\uc774\ub77c\uace0 \ubd80\ub974\uaca0\uc2b5\ub2c8\ub2e4. \ubab8\ud1b5\uc758 <strong>\ud06c\uae30<\/strong>\ub294 \uc0ac\uc774\ud074\uc5d0 \uc18d\ud55c \uc815\uc810\uc758 \uac1c\uc218\uc785\ub2c8\ub2e4. \uc0ac\uc774\ud074\uc774 \ud56d\uc0c1 \uc874\uc7ac\ud558\uae30 \ub54c\ubb38\uc5d0 <strong>\ubab8\ud1b5\uc758 \ud06c\uae30\ub294 \ud56d\uc0c1 $3$ \uc774\uc0c1<\/strong>\uc774\ub77c\ub294 \uc810\uc5d0 \uc720\uc758\ud558\uc138\uc694.<\/li>\r\n\t<li>\uc0ac\uc774\ud074\uc5d0 \uc18d\ud558\uc9c0 \uc54a\uc740 \uc815\uc810\uc758 \ucc28\uc218\uac00 $1$\uc785\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ud0a4\ud30c\ub294 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\ub97c \uc5f4\uc2ec\ud788 \ud0a4\uc6b4 \uacb0\uacfc \uac01 \uadf8\ub798\ud504\uac00 $V = 10^{6}$\uac1c\uc758 \uc815\uc810\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\ub97c \ucd1d $N$\uac1c \uac00\uc9c0\uac8c \ub418\uc5c8\uc2b5\ub2c8\ub2e4. \ud0a4\ud30c\ub294 \uac01 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\ub97c \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\ubc95\uc73c\ub85c \uc5b4\ub8e8\ub9cc\uc838 \uc8fc\uae30\ub85c \ud588\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\uac01 \ub178\ub4dc\uc5d0 \ubd99\uc5b4 \uc788\ub294 \uac04\uc120\uc758 \ubc29\ud5a5\uc744 \ud55c \ubc29\ud5a5\uc73c\ub85c \uc815\ud558\ub418, \ubaa8\ub4e0 \ub178\ub4dc\uac00 \ub098\uac00\ub294 \ubc29\ud5a5\uc758 \uac04\uc120\uc744 <strong>\uc815\ud655\ud788 \ud558\ub098<\/strong> \uac00\uc9c0\ub3c4\ub85d \uc815\ud569\ub2c8\ub2e4. \uc784\uc758\uc758 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\uc5d0 \ub300\ud574, \uac04\uc120\uc758 \ubc29\ud5a5\uc744 \uc704 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub3c4\ub85d \uc815\ud558\ub294 \uac83\uc774 \ud56d\uc0c1 \uac00\ub2a5\ud568\uc744 \uc99d\uba85\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\r\n\t<li>\ub2e4\uc74c\uc744 \ucd5c\ub300 $M = 1\\,204$\ubc88 \ubc18\ubcf5\ud569\ub2c8\ub2e4.\r\n\t<ol>\r\n\t\t<li>\uc815\uc810 $v$\uc640 $\\left\\lfloor10^{12.4}\\right\\rfloor = 2\\,511\\,886\\,431\\,509$ \uc774\ud558\uc758 \uc544\ubb34 \uc591\uc758 \uc815\uc218 $x$\ub97c \uace0\ub985\ub2c8\ub2e4.<\/li>\r\n\t\t<li>$v$\uc5d0\uc11c \ud654\uc0b4\ud45c\ub97c $x$\ubc88 \ub530\ub77c\uac00\uba70 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\ub97c \uc4f0\ub2e4\ub4ec\uc2b5\ub2c8\ub2e4. \ubaa8\ub4e0 \ub178\ub4dc\uac00 \ub098\uac00\ub294 \ubc29\ud5a5\uc758 \uac04\uc120\uc774 \ud558\ub098 \uc788\uae30 \ub54c\ubb38\uc5d0 \ub3c4\ucc29 \ub178\ub4dc\ub294 \ud558\ub098\ub85c \uc815\ud574\uc9c0\uba70, \uc774 \ub3c4\ucc29 \ub178\ub4dc\uac00 \uc5b4\ub514\uc778\uc9c0 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\r\n\t<\/ol>\r\n\t<\/li>\r\n<\/ol>\r\n\r\n<p>\uacfc\uc815 1\uc740 \ud0a4\ud30c\uac00 \uc774\ubbf8 \uc784\uc758\ub85c \ubc29\ud5a5\uc744 \uc815\ud588\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\ud0a4\ud30c\ub294 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\ub97c \uc5b4\ub8e8\ub9cc\uc838 \uc8fc\ub294 \uac83\ubfd0\ub9cc \uc544\ub2c8\ub77c \uac01 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\uc758 \ubab8\ud1b5\uc758 \ud06c\uae30\ub97c \uc54c\uace0 \uc2f6\uc5b4\ud588\uc2b5\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \ud0a4\ud30c\ub294 \uc774\uac78 \uc0dd\uac01\ud558\uae30\uc5d0\ub294 \uba38\ub9ac\uac00 \ub108\ubb34 \uc544\ud320\uae30 \ub54c\ubb38\uc5d0, \uacfc\uc815 2\ub97c \uc5ec\ub7ec\ubd84\uc5d0\uac8c \ub9e1\uae30\uae30\ub85c \ud588\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc5ec\ub7ec\ubd84\uc740 \uac01 \uace0\uc2b4\ub3c4\uce58 \uadf8\ub798\ud504\uc5d0 \ub300\ud574 \uacfc\uc815 2\ub97c \uc2dc\ud589\ud55c \ud6c4 \uc5bb\uc740 \uc815\ubcf4\ub85c \uac01 \uace0\uc2b4\ub3c4\uce58\uc758 \ubab8\ud1b5\uc758 \ud06c\uae30\ub97c \uc54c\uc544\ub0b4\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 $10$ \uc774\ud558\uc758 \uc591\uc758 \uc815\uc218 $N$\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \uadf8\ub7ec\uace0 \ub098\uba74 \uc778\ud130\ub799\uc158\uc774 \uc2dc\uc791\ub429\ub2c8\ub2e4.<\/p>\r\n","output":"","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","custom_interaction":"<p>\uc5ec\ub7ec\ubd84\uc740 \ucc44\uc810 \uc2dc\uc2a4\ud15c\uc5d0\uac8c \ub2e4\uc74c\uacfc \uac19\uc740 \uc9c8\uc758\ub97c \ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><code>? v x<\/code>: \uc815\uc810 $v$\uc5d0\uc11c \ud654\uc0b4\ud45c\ub97c $x$\ubc88 \ub530\ub77c\uac00\uc11c \ub3c4\ucc29\ud55c \ub178\ub4dc \ubc88\ud638\ub97c \ub3cc\ub824\uc90d\ub2c8\ub2e4. $1 \\leq v \\leq V$, $1 \\leq x \\leq \\left\\lfloor 10^{12.4}\\right\\rfloor = 2\\,511\\,886\\,431\\,509$\ub97c \ub9cc\uc871\ud574\uc57c \ud569\ub2c8\ub2e4. \uc774 \uc9c8\uc758\ub294 \uadf8\ub798\ud504 \ub2f9 \ucd5c\ub300 $M$\ubc88 \ud560 \uc218 \uc788\uc73c\uba70, \uacb0\uacfc\ub294 \ub3c4\ucc29 \uc815\uc810 \ubc88\ud638\ub97c \ub098\ud0c0\ub0b4\ub294 $1$ \uc774\uc0c1 $V$ \uc774\ud558\uc758 \uc815\uc218\uc785\ub2c8\ub2e4.<\/li>\r\n\t<li><code>! s<\/code>: \ud604\uc7ac \uc5b4\ub8e8\ub9cc\uc9c0\uace0 \uc788\ub294 \uadf8\ub798\ud504\uc758 \ubab8\ud1b5\uc758 \ud06c\uae30 $s$\ub97c \ucc44\uc810 \ud504\ub85c\uadf8\ub7a8\uc5d0\uac8c \uc54c\ub824\uc8fc\ub294 \uc9c8\uc758\uc785\ub2c8\ub2e4. \uadf8\ub798\ud504 \ub2f9 \ud55c \ubc88 \uc9c8\uc758\ud560 \uc218 \uc788\uc73c\uba70, \uacb0\uacfc\ub294 \ubab8\ud1b5\uc758 \ud06c\uae30\uac00 \ub9de\uc558\uc74c\uc744 \uc758\ubbf8\ud558\ub294 $1$\uc774\uac70\ub098 \ubab8\ud1b5\uc758 \ud06c\uae30\uac00 \ud2c0\ub838\uc74c\uc744 \uc758\ubbf8\ud558\ub294 $-1$\uc785\ub2c8\ub2e4. \ud06c\uae30\uac00 \ub9de\uc740 \uacbd\uc6b0 \ub2e4\uc74c \uadf8\ub798\ud504\ub85c \ub118\uc5b4\uac11\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc9c8\uc758\ub97c \ucd9c\ub825\ud55c \ud6c4\uc5d0\ub294 \ud45c\uc900 \ucd9c\ub825 \ubc84\ud37c\ub97c flush\ud574 \uc8fc\uc5b4\uc57c \ud569\ub2c8\ub2e4. \uc5b8\uc5b4\ubcc4\ub85c \ud45c\uc900 \ucd9c\ub825 \ubc84\ud37c\ub97c flush\ud558\ub294 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>C: <code>fflush(stdout)<\/code><\/li>\r\n\t<li>C++: <code>std::cout &lt;&lt; std::flush<\/code><\/li>\r\n\t<li>Java: <code>System.out.flush()<\/code><\/li>\r\n\t<li>Python: <code>sys.stdout.flush()<\/code><\/li>\r\n\t<li>Kotlin:&nbsp;<code>System.out.flush()<\/code><\/li>\r\n<\/ul>\r\n\r\n<p>\uc5b4\ub5a4 \uc9c8\uc758\uc5d0\uc11c\ub4e0\uc9c0 \uc74c\uc218\ub97c \uc751\ub2f5\uc73c\ub85c \ubc1b\uc558\uc744 \uacbd\uc6b0 \ud504\ub85c\uadf8\ub7a8\uc744 \uc989\uc2dc \uc815\uc0c1 \uc885\ub8cc\ud574\uc57c \ud558\uba70, \uc774 \uacbd\uc6b0 <strong>\ud2c0\ub838\uc2b5\ub2c8\ub2e4<\/strong>\ub97c \ubc1b\uc2b5\ub2c8\ub2e4. \ud504\ub85c\uadf8\ub7a8\uc744 \uc989\uc2dc \uc885\ub8cc\ud558\uc9c0 \uc54a\uc744 \uacbd\uc6b0 \ub2e4\ub978 \uacb0\uacfc\ub97c \ubc1b\uc744 \uc218 \uc788\uc74c\uc5d0 \uc8fc\uc758\ud558\uc138\uc694.<\/p>\r\n\r\n<p>$N$\uac1c\uc758 <code>!<\/code>&nbsp;\uc9c8\uc758\uc5d0\uc11c \ubaa8\ub450 $1$\uc744 \ubc1b\uc740 \uacbd\uc6b0 \ud504\ub85c\uadf8\ub7a8\uc744 \uc885\ub8cc\ud558\uba74 \uadf8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c\ub294 \ub9de\uc740 \uac83\uc73c\ub85c \ucc98\ub9ac\ub429\ub2c8\ub2e4.<\/p>\r\n"},{"problem_id":"23049","problem_lang":"1","title":"Hedgehog Graph","description":"<p>A&nbsp;<em>hedgehog graph<\/em>&nbsp;is a directed graph where each vertex has exactly one outgoing edge and contains exactly one directed cycle of length at least $3$ (the graph does not contain a loop or cycle of length $2$.) For every edge $e = u \\rightarrow v$ in the hedgehog graph,&nbsp;$v$ belongs to the aforementioned single directed cycle.<\/p>\r\n\r\n<p>For a vertex $v$, if there exists an edge $v \\rightarrow w$, we denote the vertex $w = next(v)$ as the&nbsp;<em>next vertex<\/em>. This vertex exists and is unique.<\/p>\r\n\r\n<p>Kipa has $n$&nbsp;hedgehog graphs with $10^6$&nbsp;vertices. Each vertex is numbered from&nbsp;$1$&nbsp;to&nbsp;$10^6$. Kipa is not given the graph directly. Instead, Kipa can ask the following query at most&nbsp;$1\\,204$&nbsp;times.<\/p>\r\n\r\n<ul>\r\n\t<li><code>? v x<\/code>: Given a vertex $v$&nbsp;and a positive integer&nbsp;$x$, the jury starts at&nbsp;$v$, moves to the next vertex&nbsp;$x$&nbsp;times, and returns the index of the resulting vertex. ($1&le;v&le;10^6$,$1&le;x&le;\\left\\lfloor10^{12.4}\\right\\rfloor = 2\\,511\\,886\\,431\\,509$)<\/li>\r\n<\/ul>\r\n\r\n<p>Your task is to help Kipa determine the length of the directed cycle for each hedgehog graph.<\/p>\r\n","input":"","output":"","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","custom_interaction":"<p>First, your program must read from the standard input one line with the positive integer $n$, the number of graphs to process. $n$ will be at most $10$.<\/p>\r\n\r\n<p>For each graph, the program can ask the following query at most $1\\,204$ times.<\/p>\r\n\r\n<ul>\r\n\t<li><code>? v x<\/code>: Given a vertex $v$ and a positive integer $x$, the jury starts at $v$, moves to the next vertex $x$ times, and returns the index of the resulting vertex. ($1&le;v&le;10^6$,$1&le;x&le;\\left\\lfloor10^{12.4}\\right\\rfloor = 2\\,511\\,886\\,431\\,509$)<\/li>\r\n<\/ul>\r\n\r\n<p>Once you have determined the length of the cycle $s$, output <code>! s<\/code>. After that, read a single integer which is either:<\/p>\r\n\r\n<ul>\r\n\t<li>$1$, if the answer is correct. You should immediately start processing the next graph, or finish your program with the exit code 0 if all $n$ graphs are processed.<\/li>\r\n\t<li>$-1$, if the answer is incorrect. In this case, you should finish your program with exit code 0, in which case you will receive a Wrong Answer verdict. Failure to handle this properly may result in unexpected behavior.<\/li>\r\n<\/ul>\r\n\r\n<p>You must flush your output after every interaction.<\/p>\r\n\r\n<p>The interactor is adaptive. In other words, the interactor does not necessarily start with a fixed graph at the beginning of the interaction. The interactor only guarantees that there exists at least one hedgehog graph that satisfies all the provided responses of the interactor and the input specification.<\/p>\r\n"}]