문제
은하는 평생 에메랄드를 모으는 데 힘썼고 이제 이것을 $N$명의 자식들에게 물려줄 때가 되었습니다. 은하는 가지고 있는 에메랄드를 $N$명의 자식들에게 각각 $K$개씩 나누어주고, 꼭 필요할 때 사용하라고 신신당부했습니다. 애프터눈 티타임을 즐기고 있던 어느 날, 자식 중 정확히 한 명이 에메랄드를 모두 팔아 버렸다는 사실이 은하의 귀에 들어가게 되었습니다.
은하는 에메랄드를 모두 팔아버린 불효자가 누군지 찾기 위해 자식들에게 준 에메랄드를 다음과 같은 방법으로 돌려달라고 했습니다.
- 에메랄드를 돌려받을 일수 $X$와 $i$번째 날에 $j$번째 자식에게서 돌려받을 에메랄드의 수 $\{a_{ij}\}$를 정합니다. 단, $a_{ij}$는 음이 아닌 정수이고, $j$번째 자식이 내야 하는 에메랄드 총수 $\sum_{i=1}^{X}a_{ij}$는 $K$ 이하여야 합니다. $(1\le i\le X;$ 1ドル\le j\le N)$
- $i=1,\cdots ,X$에 대해 다음을 반복합니다.
- $i$번째 날 오전, $j$번째 자식이 에메랄드 $a_{ij}$개를 금고에 담습니다. 단, $j$번째 자식이 에메랄드를 모두 팔아버렸다면 에메랄드를 금고에 담을 수 없으므로 아무것도 하지 않습니다.
- $i$번째 날 오후, 은하는 금고에 에메랄드가 총 몇 개 있는지 확인하고, 모든 에메랄드를 가져갑니다.
은하는 적절한 $X$와 $\{a_{ij}\}$를 정하면 불효자를 찾을 수 있다는 것을 깨달았습니다.
이 방법의 큰 문제는 $X$일이라는 긴 시간이 걸린다는 것입니다. 아니나 다를까, 자식들은 다른 일로 바쁘다며 $X$를 최대한 줄여 달라고 요청했습니다. 여러분은 은하를 도와 $N$과 $K$가 주어지면 불효자를 한 명으로 특정할 수 있는 최소의 $X$를 찾아야 합니다.
출력
각 테스트케이스에 대해 한 줄에 하나씩 불효자를 특정할 수 있는 최소의 날수 $X$를 출력해야 합니다.
$N = 8$이고 $K = 4$일 때 다음과 같이 $\{a_{ij}\}$를 두면 $X = 2$로 원하는 목적을 달성할 수 있습니다. $$\begin{bmatrix}0&0&1&1&2&2&3&3\0円&1&0&1&0&1&0&1\end{bmatrix}$$
$N = 8$이고 $K = 7$일 때 모두가 다른 수의 에메랄드를 금고에 담게 하면 $X = 1$으로 원하는 목적을 달성할 수 있습니다.
$N = 469,762円,049円$이고 $K = 1$일 때 $X = 469,762円,048円$일 동안 한 사람씩 에메랄드를 금고에 담게 하면 됩니다. 금고에 에메랄드가 없는 날이 있으면, 해당 날에 에메랄드를 담아야 하는 사람을 불효자로, 에메랄드가 없는 날이 없으면, 한 번도 에메랄드를 담지 않았던 사람을 불효자로 특정할 수 있습니다.
[{"problem_id":"30812","problem_lang":"0","title":"\ubd88\ud6a8\uc790 \ucc3e\uae30","description":"<p>\uc740\ud558\ub294 \ud3c9\uc0dd \uc5d0\uba54\ub784\ub4dc\ub97c \ubaa8\uc73c\ub294 \ub370 \ud798\uc37c\uace0 \uc774\uc81c \uc774\uac83\uc744 $N$\uba85\uc758 \uc790\uc2dd\ub4e4\uc5d0\uac8c \ubb3c\ub824\uc904 \ub54c\uac00 \ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc740\ud558\ub294 \uac00\uc9c0\uace0 \uc788\ub294 \uc5d0\uba54\ub784\ub4dc\ub97c $N$\uba85\uc758 \uc790\uc2dd\ub4e4\uc5d0\uac8c \uac01\uac01 $K$\uac1c\uc529 \ub098\ub204\uc5b4\uc8fc\uace0, \uaf2d \ud544\uc694\ud560 \ub54c \uc0ac\uc6a9\ud558\ub77c\uace0 \uc2e0\uc2e0\ub2f9\ubd80\ud588\uc2b5\ub2c8\ub2e4. \uc560\ud504\ud130\ub208 \ud2f0\ud0c0\uc784\uc744 \uc990\uae30\uace0 \uc788\ub358 \uc5b4\ub290 \ub0a0, \uc790\uc2dd \uc911 \uc815\ud655\ud788 \ud55c \uba85\uc774 \uc5d0\uba54\ub784\ub4dc\ub97c \ubaa8\ub450 \ud314\uc544 \ubc84\ub838\ub2e4\ub294 \uc0ac\uc2e4\uc774 \uc740\ud558\uc758 \uadc0\uc5d0 \ub4e4\uc5b4\uac00\uac8c \ub418\uc5c8\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc740\ud558\ub294 \uc5d0\uba54\ub784\ub4dc\ub97c \ubaa8\ub450 \ud314\uc544\ubc84\ub9b0 \ubd88\ud6a8\uc790\uac00 \ub204\uad70\uc9c0 \ucc3e\uae30 \uc704\ud574 \uc790\uc2dd\ub4e4\uc5d0\uac8c \uc900 \uc5d0\uba54\ub784\ub4dc\ub97c \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\ubc95\uc73c\ub85c \ub3cc\ub824\ub2ec\ub77c\uace0 \ud588\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc5d0\uba54\ub784\ub4dc\ub97c \ub3cc\ub824\ubc1b\uc744 \uc77c\uc218 $X$\uc640 $i$\ubc88\uc9f8 \ub0a0\uc5d0 $j$\ubc88\uc9f8 \uc790\uc2dd\uc5d0\uac8c\uc11c \ub3cc\ub824\ubc1b\uc744 \uc5d0\uba54\ub784\ub4dc\uc758 \uc218 $\\{a_{ij}\\}$\ub97c \uc815\ud569\ub2c8\ub2e4. \ub2e8, $a_{ij}$\ub294 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\uace0, $j$\ubc88\uc9f8 \uc790\uc2dd\uc774 \ub0b4\uc57c \ud558\ub294 \uc5d0\uba54\ub784\ub4dc \ucd1d\uc218 $\\sum_{i=1}^{X}a_{ij}$\ub294 $K$ \uc774\ud558\uc5ec\uc57c \ud569\ub2c8\ub2e4. $(1\\le i\\le X;$ $1\\le j\\le N)$<\/li>\r\n\t<li>$i=1,\\cdots ,X$\uc5d0 \ub300\ud574 \ub2e4\uc74c\uc744 \ubc18\ubcf5\ud569\ub2c8\ub2e4.\r\n\t<ol>\r\n\t\t<li>$i$\ubc88\uc9f8 \ub0a0 \uc624\uc804, $j$\ubc88\uc9f8 \uc790\uc2dd\uc774 \uc5d0\uba54\ub784\ub4dc $a_{ij}$\uac1c\ub97c \uae08\uace0\uc5d0 \ub2f4\uc2b5\ub2c8\ub2e4. \ub2e8, $j$\ubc88\uc9f8 \uc790\uc2dd\uc774 \uc5d0\uba54\ub784\ub4dc\ub97c \ubaa8\ub450 \ud314\uc544\ubc84\ub838\ub2e4\uba74 \uc5d0\uba54\ub784\ub4dc\ub97c \uae08\uace0\uc5d0 \ub2f4\uc744 \uc218 \uc5c6\uc73c\ubbc0\ub85c \uc544\ubb34\uac83\ub3c4 \ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/li>\r\n\t\t<li>$i$\ubc88\uc9f8 \ub0a0 \uc624\ud6c4, \uc740\ud558\ub294 \uae08\uace0\uc5d0 \uc5d0\uba54\ub784\ub4dc\uac00 \ucd1d \uba87 \uac1c \uc788\ub294\uc9c0 \ud655\uc778\ud558\uace0, \ubaa8\ub4e0 \uc5d0\uba54\ub784\ub4dc\ub97c \uac00\uc838\uac11\ub2c8\ub2e4.<\/li>\r\n\t<\/ol>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>\uc740\ud558\ub294 \uc801\uc808\ud55c $X$\uc640 $\\{a_{ij}\\}$\ub97c \uc815\ud558\uba74 \ubd88\ud6a8\uc790\ub97c \ucc3e\uc744 \uc218 \uc788\ub2e4\ub294 \uac83\uc744 \uae68\ub2ec\uc558\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ubc29\ubc95\uc758 \ud070 \ubb38\uc81c\ub294 $X$\uc77c\uc774\ub77c\ub294 \uae34 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. \uc544\ub2c8\ub098 \ub2e4\ub97c\uae4c, \uc790\uc2dd\ub4e4\uc740 \ub2e4\ub978 \uc77c\ub85c \ubc14\uc058\ub2e4\uba70 $X$\ub97c \ucd5c\ub300\ud55c \uc904\uc5ec \ub2ec\ub77c\uace0 \uc694\uccad\ud588\uc2b5\ub2c8\ub2e4. \uc5ec\ub7ec\ubd84\uc740 \uc740\ud558\ub97c \ub3c4\uc640 $N$\uacfc $K$\uac00 \uc8fc\uc5b4\uc9c0\uba74 \ubd88\ud6a8\uc790\ub97c \ud55c \uba85\uc73c\ub85c \ud2b9\uc815\ud560 \uc218 \uc788\ub294 \ucd5c\uc18c\uc758 $X$\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uc218 $T$\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. $(1\\leq T\\leq 500\\,000)$<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0 \uc790\uc2dd\uc758 \uc218 $N$\uacfc \uc790\uc2dd \uac01\uc790\uc5d0\uac8c \uc900 \uc5d0\uba54\ub784\ub4dc\uc758 \uc218 $K$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. $(2 \\leq N \\leq 10^{18};$ $1 \\leq K \\leq 10^{18})$<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ubd88\ud6a8\uc790\ub97c \ud2b9\uc815\ud560 \uc218 \uc788\ub294 \ucd5c\uc18c\uc758 \ub0a0\uc218 $X$\ub97c \ucd9c\ub825\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>$N = 8$\uc774\uace0 $K = 4$\uc77c \ub54c \ub2e4\uc74c\uacfc \uac19\uc774 $\\{a_{ij}\\}$\ub97c \ub450\uba74 $X = 2$\ub85c \uc6d0\ud558\ub294 \ubaa9\uc801\uc744 \ub2ec\uc131\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. $$\\begin{bmatrix}0&amp;0&amp;1&amp;1&amp;2&amp;2&amp;3&amp;3\\\\0&amp;1&amp;0&amp;1&amp;0&amp;1&amp;0&amp;1\\end{bmatrix}$$<\/p>\r\n\r\n<p>$N = 8$\uc774\uace0 $K = 7$\uc77c \ub54c \ubaa8\ub450\uac00 \ub2e4\ub978 \uc218\uc758 \uc5d0\uba54\ub784\ub4dc\ub97c \uae08\uace0\uc5d0 \ub2f4\uac8c \ud558\uba74 $X = 1$\uc73c\ub85c \uc6d0\ud558\ub294 \ubaa9\uc801\uc744 \ub2ec\uc131\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>$N = 469\\,762\\,049$\uc774\uace0 $K = 1$\uc77c \ub54c $X = 469\\,762\\,048$\uc77c \ub3d9\uc548 \ud55c \uc0ac\ub78c\uc529 \uc5d0\uba54\ub784\ub4dc\ub97c \uae08\uace0\uc5d0 \ub2f4\uac8c \ud558\uba74 \ub429\ub2c8\ub2e4. \uae08\uace0\uc5d0 \uc5d0\uba54\ub784\ub4dc\uac00 \uc5c6\ub294 \ub0a0\uc774 \uc788\uc73c\uba74, \ud574\ub2f9 \ub0a0\uc5d0 \uc5d0\uba54\ub784\ub4dc\ub97c \ub2f4\uc544\uc57c \ud558\ub294 \uc0ac\ub78c\uc744 \ubd88\ud6a8\uc790\ub85c, \uc5d0\uba54\ub784\ub4dc\uac00 \uc5c6\ub294 \ub0a0\uc774 \uc5c6\uc73c\uba74, \ud55c \ubc88\ub3c4 \uc5d0\uba54\ub784\ub4dc\ub97c \ub2f4\uc9c0 \uc54a\uc558\ub358 \uc0ac\ub78c\uc744 \ubd88\ud6a8\uc790\ub85c \ud2b9\uc815\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\r\n"},{"problem_id":"30812","problem_lang":"1","title":"The Bad Child","description":"<p>Eunha spent her entire life collecting emeralds, and now it is time for her to distribute them to her $N$ children. To each of the $N$ children, she gave $K$ emeralds, with a warning that they must be used only when absolutely necessary. During one peaceful afternoon teatime, Eunha heard the news that exactly one of the children sold off all their emeralds.<\/p>\r\n\r\n<p>To find the bad child who sold all their emeralds, Eunha asked the children to return their emeralds by the following method.<\/p>\r\n\r\n<ul>\r\n\t<li>Let the number of days over which emeralds are returned be $X$, and the number of emeralds the $j$-th child should return on the $i$-th day be $\\{a_{ij}\\}$. Decide on a suitable number for each. $a_{ij}$ must be non-negative integers, and the sum of the number of emeralds which the $j$-th child returns, $\\sum_{i=1}^{X}a_{ij}$, must not exceed $K$. $(1\\le i\\le X;$ $1\\le j\\le N)$<\/li>\r\n\t<li>For $i=1,\\cdots ,X$, repeat the following.\r\n\t<ol>\r\n\t\t<li>In the morning of the $i$-th day, the $j$-th child puts $a_{ij}$ emeralds into the safe. However, if the $j$-th child sold all their emeralds, they have nothing to put in the safe, so they do nothing.<\/li>\r\n\t\t<li>In the afternoon of the $i$-th day, Eunha checks how many emeralds were returned in the safe and then takes them all.<\/li>\r\n\t<\/ol>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>Eunha has realized she can find the bad child by deciding on suitable values for $X$ and $\\{a_{ij}\\}$.<\/p>\r\n\r\n<p>One big problem with this method is that it requires a long period of $X$ days. As a result, the children have started complaining that they are busy and requested $X$ to be as small as possible. Given $N$ and $K$, it is your task to help Eunha find the minimum possible $X$ needed to identify the bad child.<\/p>\r\n","input":"<p>The first line of input contains a single integer $T$, denoting the number of test cases. $(1\\leq T\\leq 500\\,000)$<\/p>\r\n\r\n<p>For each test case, the first line of input contains two space-separated integers $N$ and $K$, denoting the number of children and the number of emeralds given to each child, respectively. $(2 \\leq N \\leq 10^{18};$ $1 \\leq K \\leq 10^{18})$<\/p>\r\n","output":"<p>For each test case, print a single integer $X$, denoting the minimum number of days required to identify the bad child, in a single line.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>When $N = 8$ and $K = 4$, if we set $\\{a_{ij}\\}$ as follows, we can achieve our goal with $X = 2$. $$\\begin{bmatrix}0&amp;0&amp;1&amp;1&amp;2&amp;2&amp;3&amp;3\\\\0&amp;1&amp;0&amp;1&amp;0&amp;1&amp;0&amp;1\\end{bmatrix}$$<\/p>\r\n\r\n<p>When $N = 8$ and $K = 7$, it is possible to achieve our goal with $X = 1$ by simply having all children return different numbers of emeralds.<\/p>\r\n\r\n<p>When $N = 469\\,762\\,049$ and $K = 1$, we can have the children return their emeralds one child a day over $X = 469\\,762\\,048$ days. If there is a day with no emeralds returned, the child who was supposed to return that day is the bad child. If there was no day where no emeralds were returned, the only remaining child who never returned any emeralds is the bad child.<\/p>\r\n"}]