문제
비 오는 날 $N$명의 학생이 창의인재관에서 융합인재관으로 건너가려고 한다. 창의인재관에는 $M$개의 우산이 있고, 융합인재관에는 우산이 없다. 한 우산은 한 번에 최대 $K$명까지 쓸 수 있다. 학생들은 다음 시행을 반복해 건너갈 수 있다.
- 한 건물에 있는 학생 중 몇 명이 우산을 쓰고 다른 건물로 넘어간다. 이때, 모두가 같은 우산을 쓸 필요는 없다.
- 아무도 쓰고 있지 않은 우산은 학생들이 제한 없이 들고 갈 수 있다. 예를 들어, 1명의 학생이 1개의 우산을 쓰고 3개의 우산을 들고 가는 것이 가능하다.
모든 학생이 비를 맞지 않고 융합인재관으로 건너갈 수 있는지 판별하여라. 만약 건너갈 수 있다면, 모든 학생이 건너가기 위한 시행의 최소 횟수를 구하여라. 단, 모든 우산을 융합인재관으로 가지고 올 필요는 없다.
엄밀히 말해, 4개의 정수로 이루어진 순서쌍 $(a,b,c,d)$가 주어진다. 이는 현재 창의인재관에 있는 학생이 $a$명, 창의인재관에 있는 우산이 $b$개, 융합인재관에 있는 학생이 $c$명, 융합인재관에 있는 우산이 $d$개라는 뜻이다. 초기에 $a=N,ドル $b=M,ドル $c=d=0$이며, 최소 횟수의 시행을 통해 $c=N$으로 만들어야 한다. 시행은 다음 행동 중 하나를 하는 것으로 정의된다.
- 두 양의 정수 $x,ドル $y$를 선택하여 순서쌍 $(a,b,c,d)$를 $(a-x,b-y,c+x,d+y)$로 바꾼다. 이는 창의인재관에서 $x$명의 학생이 $y$개의 우산을 이용하여 융합인재관으로 이동한다는 뜻이다. 이때, 0ドル<x\le a$와 0ドル<y\le b$와 $x\le Ky$이어야 한다.
- 두 양의 정수 $z,ドル $w$를 선택하여 순서쌍 $(a,b,c,d)$를 $(a+z,b+w,c-z,d-w)$로 바꾼다. 이는 융합인재관에서 $z$명의 학생이 $w$개의 우산을 이용하여 창의인재관으로 이동한다는 뜻이다. 이때, 0ドル<z\le c$와 0ドル<w\le d$와 $z\le Kw$이어야 한다.
출력
$T$개의 줄에 걸쳐, $i$번째 줄에는 $i$번째 테스트 케이스의 답에 해당하는 정수 1개를 출력한다. 모든 학생이 융합인재관으로 건너갈 수 있다면 모든 학생이 건너가기 위한 시행의 최소 횟수를 출력하고, 그렇지 않다면 -1을 출력한다.
제한
- 1ドル\le T\le 1,円 000$
- 1ドル\le i\le T$
- 1ドル\le N,M,K\le 10$
[{"problem_id":"31066","problem_lang":"0","title":"\ube44 \uc624\ub294 \ub0a0","description":"<p>\ube44 \uc624\ub294 \ub0a0 $N$\uba85\uc758 \ud559\uc0dd\uc774 \ucc3d\uc758\uc778\uc7ac\uad00\uc5d0\uc11c \uc735\ud569\uc778\uc7ac\uad00\uc73c\ub85c \uac74\ub108\uac00\ub824\uace0 \ud55c\ub2e4. \ucc3d\uc758\uc778\uc7ac\uad00\uc5d0\ub294 $M$\uac1c\uc758 \uc6b0\uc0b0\uc774 \uc788\uace0, \uc735\ud569\uc778\uc7ac\uad00\uc5d0\ub294 \uc6b0\uc0b0\uc774 \uc5c6\ub2e4. \ud55c \uc6b0\uc0b0\uc740 \ud55c \ubc88\uc5d0 \ucd5c\ub300 $K$\uba85\uae4c\uc9c0 \uc4f8 \uc218 \uc788\ub2e4. \ud559\uc0dd\ub4e4\uc740 \ub2e4\uc74c \uc2dc\ud589\uc744 \ubc18\ubcf5\ud574 \uac74\ub108\uac08 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud55c \uac74\ubb3c\uc5d0 \uc788\ub294 \ud559\uc0dd \uc911 \uba87 \uba85\uc774 \uc6b0\uc0b0\uc744 \uc4f0\uace0 \ub2e4\ub978 \uac74\ubb3c\ub85c \ub118\uc5b4\uac04\ub2e4. \uc774\ub54c, \ubaa8\ub450\uac00 \uac19\uc740 \uc6b0\uc0b0\uc744 \uc4f8 \ud544\uc694\ub294 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uc544\ubb34\ub3c4 \uc4f0\uace0 \uc788\uc9c0 \uc54a\uc740 \uc6b0\uc0b0\uc740 \ud559\uc0dd\ub4e4\uc774 \uc81c\ud55c \uc5c6\uc774 \ub4e4\uace0 \uac08 \uc218 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 1\uba85\uc758 \ud559\uc0dd\uc774 1\uac1c\uc758 \uc6b0\uc0b0\uc744 \uc4f0\uace0 3\uac1c\uc758 \uc6b0\uc0b0\uc744 \ub4e4\uace0 \uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa8\ub4e0 \ud559\uc0dd\uc774 \ube44\ub97c \ub9de\uc9c0 \uc54a\uace0 \uc735\ud569\uc778\uc7ac\uad00\uc73c\ub85c \uac74\ub108\uac08 \uc218 \uc788\ub294\uc9c0 \ud310\ubcc4\ud558\uc5ec\ub77c. \ub9cc\uc57d \uac74\ub108\uac08 \uc218 \uc788\ub2e4\uba74, \ubaa8\ub4e0 \ud559\uc0dd\uc774 \uac74\ub108\uac00\uae30 \uc704\ud55c \uc2dc\ud589\uc758 \ucd5c\uc18c \ud69f\uc218\ub97c \uad6c\ud558\uc5ec\ub77c. \ub2e8, \ubaa8\ub4e0 \uc6b0\uc0b0\uc744 \uc735\ud569\uc778\uc7ac\uad00\uc73c\ub85c \uac00\uc9c0\uace0 \uc62c \ud544\uc694\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc5c4\ubc00\ud788 \ub9d0\ud574, 4\uac1c\uc758 \uc815\uc218\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc21c\uc11c\uc30d $(a,b,c,d)$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 \ud604\uc7ac \ucc3d\uc758\uc778\uc7ac\uad00\uc5d0 \uc788\ub294 \ud559\uc0dd\uc774 $a$\uba85, \ucc3d\uc758\uc778\uc7ac\uad00\uc5d0 \uc788\ub294 \uc6b0\uc0b0\uc774 $b$\uac1c, \uc735\ud569\uc778\uc7ac\uad00\uc5d0 \uc788\ub294 \ud559\uc0dd\uc774 $c$\uba85, \uc735\ud569\uc778\uc7ac\uad00\uc5d0 \uc788\ub294 \uc6b0\uc0b0\uc774 $d$\uac1c\ub77c\ub294 \ub73b\uc774\ub2e4. \ucd08\uae30\uc5d0 $a=N$, $b=M$, $c=d=0$\uc774\uba70, \ucd5c\uc18c \ud69f\uc218\uc758 \uc2dc\ud589\uc744 \ud1b5\ud574 $c=N$\uc73c\ub85c \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \uc2dc\ud589\uc740 \ub2e4\uc74c \ud589\ub3d9 \uc911 \ud558\ub098\ub97c \ud558\ub294 \uac83\uc73c\ub85c \uc815\uc758\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub450 \uc591\uc758 \uc815\uc218 $x$, $y$\ub97c \uc120\ud0dd\ud558\uc5ec \uc21c\uc11c\uc30d $(a,b,c,d)$\ub97c $(a-x,b-y,c+x,d+y)$\ub85c \ubc14\uafbc\ub2e4. \uc774\ub294 \ucc3d\uc758\uc778\uc7ac\uad00\uc5d0\uc11c $x$\uba85\uc758 \ud559\uc0dd\uc774 $y$\uac1c\uc758 \uc6b0\uc0b0\uc744 \uc774\uc6a9\ud558\uc5ec \uc735\ud569\uc778\uc7ac\uad00\uc73c\ub85c \uc774\ub3d9\ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc774\ub54c, $0&lt;x\\le a$\uc640 $0&lt;y\\le b$\uc640 $x\\le Ky$\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>\ub450 \uc591\uc758 \uc815\uc218 $z$, $w$\ub97c \uc120\ud0dd\ud558\uc5ec \uc21c\uc11c\uc30d $(a,b,c,d)$\ub97c $(a+z,b+w,c-z,d-w)$\ub85c \ubc14\uafbc\ub2e4. \uc774\ub294 \uc735\ud569\uc778\uc7ac\uad00\uc5d0\uc11c $z$\uba85\uc758 \ud559\uc0dd\uc774 $w$\uac1c\uc758 \uc6b0\uc0b0\uc744 \uc774\uc6a9\ud558\uc5ec \ucc3d\uc758\uc778\uc7ac\uad00\uc73c\ub85c \uc774\ub3d9\ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc774\ub54c, $0&lt;z\\le c$\uc640 $0&lt;w\\le d$\uc640 $z\\le Kw$\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c $T$\uac1c\uc758 \uc904 \uc911 $i$\ubc88\uc9f8 \uc904\uc5d0\ub294 $i$\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub97c \ub098\ud0c0\ub0b4\ub294 \uc138 \uc815\uc218 $N$, $M$, $K$\uac00 \ub744\uc5b4\uc4f0\uae30\ub97c \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>$T$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0, $i$\ubc88\uc9f8 \uc904\uc5d0\ub294 $i$\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub2f5\uc5d0 \ud574\ub2f9\ud558\ub294 \uc815\uc218 1\uac1c\ub97c \ucd9c\ub825\ud55c\ub2e4. \ubaa8\ub4e0 \ud559\uc0dd\uc774 \uc735\ud569\uc778\uc7ac\uad00\uc73c\ub85c \uac74\ub108\uac08 \uc218 \uc788\ub2e4\uba74 \ubaa8\ub4e0 \ud559\uc0dd\uc774 \uac74\ub108\uac00\uae30 \uc704\ud55c \uc2dc\ud589\uc758 \ucd5c\uc18c \ud69f\uc218\ub97c \ucd9c\ub825\ud558\uace0, \uadf8\ub807\uc9c0 \uc54a\ub2e4\uba74 <code>-1<\/code>\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1\\le T\\le 1\\, 000$<\/li>\r\n\t<li>$1\\le i\\le T$<\/li>\r\n\t<li>$1\\le N,M,K\\le 10$<\/li>\r\n<\/ul>\r\n"},{"problem_id":"31066","problem_lang":"1","title":"Rainy Day","description":"<p>On a rainy day, $N$ students are going to move from the &lsquo;IamCoder Building&rsquo; to the &lsquo;SciCom Building&rsquo;. In the IamCoder Building, there are $M$ umbrellas, while the SciCom Building has none. Each umbrella can be used by up to $K$ students simultaneously. To move between two buildings, the students can repeat the following step:<\/p>\r\n\r\n<ul>\r\n\t<li>Some students in a building use umbrellas and move to the other building. It&rsquo;s not necessary for everyone to use the same umbrella.<\/li>\r\n\t<li>Students can freely carry extra umbrellas without restrictions. For example, one student can use one umbrella and bring three extra umbrellas on the way.<\/li>\r\n<\/ul>\r\n\r\n<p>Determine if all students can move to the SciCom Building without getting caught in the rain. If possible, find the minimum number of steps needed for all students to finish moving. It is not required to bring all umbrellas to the SciCom Building.<\/p>\r\n\r\n<p>Strictly speaking, you are given a tuple of four integers $(a,b,c,d)$. It represents there are currently $a$ students and $b$ umbrellas in the IamCoder Building and $c$ students and $d$ umbrellas in the SciCom Building. Initially, $a=N$, $b=M$, $c=d=0$. You should make $c=N$ through the minimum number of steps. For each step, you can do one of the following actions.<\/p>\r\n\r\n<ul>\r\n\t<li>Choose two positive integers $x$ and $y$ and change the tuple $(a,b,c,d)$ to $(a-x,b-y,c+x,d+y)$. It represents that $x$ students use $y$ umbrellas to move from the IamCoder Building to the SciCom Building. Here, $0&lt;x\\le a$, $0&lt;y\\le b$, and $x\\le Ky$ must be satisfied.<\/li>\r\n\t<li>Choose two positive integers $z$ and $w$ and change the tuple $(a,b,c,d)$ to $(a+z,b+w,c-z,d-w)$. It represents that $z$ students use $w$ umbrellas to move from the SciCom Building to the IamCoder Building. Here, $0&lt;z\\le c$, $0&lt;w\\le d$, and $z\\le Kw$ must be satisfied.<\/li>\r\n<\/ul>\r\n","input":"<p>The first line contains the number of test cases $T$.<\/p>\r\n\r\n<p>Among the next $T$ lines, the $i$th line three integers $N$, $M$, and $K$ are given, representing the $i$-th test case. They are separated by a space.<\/p>\r\n","output":"<p>You should print $T$ lines. On the $i$-th line, output a single integer corresponding to the answer of the $i$-th test case. If all students can move to the SciCom Building, print the minimum number of steps for all students to finish moving. Otherwise, print <code>-1<\/code>.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1\\le T\\le 1\\, 000$<\/li>\r\n\t<li>$1\\le i\\le T$<\/li>\r\n\t<li>$1\\le N,M,K\\le 10$<\/li>\r\n<\/ul>\r\n"}]