문제
이 버전에서는 시행의 횟수를 최소화해야 한다.
두 순열 $p_{1}, p_{2}, \ldots, p_{n}$과 $q_{1}, q_{2}, \ldots, q_{m}$이 있다. 초기에 $p_{i}=a_{i}$(1ドル \le i \le n$), $q_{j}=b_{j}$(1ドル \le j \le m$)이다. 당신은 아래 시행을 적절하게 하여 $p_{i}=i$(1ドル \le i \le n$), $q_{j} = j$(1ドル \le j \le m$)가 되도록 해야 한다.
한 번의 시행에서, $p$와 $q$는 다음 세 단계에 따라 변한다:
- 당신은 1ドル \le i \le n,ドル 1ドル \le j \le m$을 만족하는 두 정수 $i,ドル $j$를 선택한다.
- $p$에서 $i$번째 원소를 기준으로 왼쪽 부분과 오른쪽 부분을 서로 교환한다. 즉, $p$를 $p_{i+1}, p_{i+2}, \ldots, p_{n}, p_{i}, p_{1}, p_{2}, \ldots, p_{i-1}$로 바꾼다. 왼쪽 부분과 오른쪽 부분은 비어 있을 수도 있다. 새롭게 만들어진 $p$에는 인덱스 번호가 다시 부여된다.
- $q$에서 $j$번째 원소를 기준으로 왼쪽 부분과 오른쪽 부분을 서로 교환한다. 즉, $q$를 $q_{j+1}, q_{j+2}, \ldots, q_{n}, q_{j}, q_{1}, q_{2}, \ldots, q_{j-1}$로 바꾼다. 왼쪽 부분과 오른쪽 부분은 비어 있을 수도 있다. 새롭게 만들어진 $q$에는 인덱스 번호가 다시 부여된다.
목표를 달성하는 것이 가능한지 판별하고, 가능하다면 최소 횟수의 시행으로 목표를 달성하는 방법을 찾아라.
출력
목표를 달성하는 것이 불가능하다면, 첫 줄에 $-1$을 출력한다.
목표를 달성하는 것이 가능하다면, 첫 줄에 시행의 횟수 $k$를 출력한다.
이후 $k$개의 줄에 각 시행을 나타내는 두 정수 $i$와 $j$를 공백으로 구분하여 출력한다 (1ドル \le i \le n,ドル 1ドル \le j \le m$).
목표를 달성하는 방법이 둘 이상이라면 그 중 무엇을 출력해도 상관없다. 시행의 횟수를 최소화해야 함에 유의하라.
노트
첫 번째 예제에서, 다음 방법으로 목표를 달성할 수 있다:
- 첫 번째 시행에서 $i=3,ドル $j=4$를 선택한다. 시행 후 $p=[3, 2, 1],ドル $q=[3, 4, 5, 2, 1]$이 된다.
- 두 번째 시행에서 $i=2,ドル $j=4$를 선택한다. 시행 후 $p=[1, 2, 3],ドル $q=[1, 2, 3, 4, 5]$가 된다.
세 번째 예제에서, 목표를 달성하는 것이 불가능함을 증명할 수 있다.
[{"problem_id":"30241","problem_lang":"0","title":"\ub450 \uc21c\uc5f4 (Hard)","description":"<p><strong>\uc774 \ubc84\uc804\uc5d0\uc11c\ub294 \uc2dc\ud589\uc758 \ud69f\uc218\ub97c \ucd5c\uc18c\ud654\ud574\uc57c \ud55c\ub2e4.<\/strong><\/p>\r\n\r\n<p>\ub450 \uc21c\uc5f4 $p_{1}, p_{2}, \\ldots, p_{n}$\uacfc $q_{1}, q_{2}, \\ldots, q_{m}$\uc774 \uc788\ub2e4. \ucd08\uae30\uc5d0 $p_{i}=a_{i}$($1 \\le i \\le n$), $q_{j}=b_{j}$($1 \\le j \\le m$)\uc774\ub2e4. \ub2f9\uc2e0\uc740 \uc544\ub798 \uc2dc\ud589\uc744 \uc801\uc808\ud558\uac8c \ud558\uc5ec $p_{i}=i$($1 \\le i \\le n$), $q_{j} = j$($1 \\le j \\le m$)\uac00 \ub418\ub3c4\ub85d \ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud55c \ubc88\uc758 \uc2dc\ud589\uc5d0\uc11c, $p$\uc640 $q$\ub294 \ub2e4\uc74c \uc138 \ub2e8\uacc4\uc5d0 \ub530\ub77c \ubcc0\ud55c\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>\ub2f9\uc2e0\uc740 $1 \\le i \\le n$, $1 \\le j \\le m$\uc744 \ub9cc\uc871\ud558\ub294 \ub450 \uc815\uc218 $i$, $j$\ub97c \uc120\ud0dd\ud55c\ub2e4.<\/li>\r\n\t<li>$p$\uc5d0\uc11c $i$\ubc88\uc9f8 \uc6d0\uc18c\ub97c \uae30\uc900\uc73c\ub85c \uc67c\ucabd \ubd80\ubd84\uacfc \uc624\ub978\ucabd \ubd80\ubd84\uc744 \uc11c\ub85c \uad50\ud658\ud55c\ub2e4. \uc989, $p$\ub97c $p_{i+1}, p_{i+2}, \\ldots, p_{n}, p_{i}, p_{1}, p_{2}, \\ldots, p_{i-1}$\ub85c \ubc14\uafbc\ub2e4. \uc67c\ucabd \ubd80\ubd84\uacfc \uc624\ub978\ucabd \ubd80\ubd84\uc740 \ube44\uc5b4 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4. \uc0c8\ub86d\uac8c \ub9cc\ub4e4\uc5b4\uc9c4 $p$\uc5d0\ub294 \uc778\ub371\uc2a4 \ubc88\ud638\uac00 \ub2e4\uc2dc \ubd80\uc5ec\ub41c\ub2e4.<\/li>\r\n\t<li>$q$\uc5d0\uc11c $j$\ubc88\uc9f8 \uc6d0\uc18c\ub97c \uae30\uc900\uc73c\ub85c \uc67c\ucabd \ubd80\ubd84\uacfc \uc624\ub978\ucabd \ubd80\ubd84\uc744 \uc11c\ub85c \uad50\ud658\ud55c\ub2e4. \uc989, $q$\ub97c $q_{j+1}, q_{j+2}, \\ldots, q_{n}, q_{j}, q_{1}, q_{2}, \\ldots, q_{j-1}$\ub85c \ubc14\uafbc\ub2e4. \uc67c\ucabd \ubd80\ubd84\uacfc \uc624\ub978\ucabd \ubd80\ubd84\uc740 \ube44\uc5b4 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4. \uc0c8\ub86d\uac8c \ub9cc\ub4e4\uc5b4\uc9c4 $q$\uc5d0\ub294 \uc778\ub371\uc2a4 \ubc88\ud638\uac00 \ub2e4\uc2dc \ubd80\uc5ec\ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \uac83\uc774 \uac00\ub2a5\ud55c\uc9c0 \ud310\ubcc4\ud558\uace0, \uac00\ub2a5\ud558\ub2e4\uba74 \ucd5c\uc18c \ud69f\uc218\uc758 \uc2dc\ud589\uc73c\ub85c \ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \ubc29\ubc95\uc744 \ucc3e\uc544\ub77c.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ub450 \uc815\uc218 $n$\uacfc $m$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4($1 \\le n, m \\le 2500$).<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 $n$\uac1c\uc758 \uc815\uc218 $a_1, a_2, \\ldots, a_n$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4 ($1 \\le a_i \\le n$).<\/p>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \uc904\uc5d0 $m$\uac1c\uc758 \uc815\uc218 $b_1, b_2, \\ldots, b_m$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4 ($1 \\le b_i \\le m$).<\/p>\r\n\r\n<p>$a$\uc640 $b$\uac00 \uc21c\uc5f4\uc784\uc774 \ubcf4\uc7a5\ub41c\ub2e4.<\/p>\r\n","output":"<p>\ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74, \uccab \uc904\uc5d0 $-1$\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4\uba74, \uccab \uc904\uc5d0 \uc2dc\ud589\uc758 \ud69f\uc218 $k$\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ud6c4 $k$\uac1c\uc758 \uc904\uc5d0 \uac01 \uc2dc\ud589\uc744 \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 $i$\uc640 $j$\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4 ($1 \\le i \\le n$, $1 \\le j \\le m$).<\/p>\r\n\r\n<p>\ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \ubc29\ubc95\uc774 \ub458 \uc774\uc0c1\uc774\ub77c\uba74 \uadf8 \uc911 \ubb34\uc5c7\uc744 \ucd9c\ub825\ud574\ub3c4 \uc0c1\uad00\uc5c6\ub2e4. \uc2dc\ud589\uc758 \ud69f\uc218\ub97c <strong>\ucd5c\uc18c\ud654\ud574\uc57c \ud568\uc5d0 \uc720\uc758\ud558\ub77c<\/strong>.<\/p>\r\n","hint":"<p>\uccab \ubc88\uc9f8 \uc608\uc81c\uc5d0\uc11c, \ub2e4\uc74c \ubc29\ubc95\uc73c\ub85c \ubaa9\ud45c\ub97c \ub2ec\uc131\ud560 \uc218 \uc788\ub2e4:<\/p>\r\n\r\n<ol>\r\n\t<li>\uccab \ubc88\uc9f8 \uc2dc\ud589\uc5d0\uc11c $i=3$, $j=4$\ub97c \uc120\ud0dd\ud55c\ub2e4. \uc2dc\ud589 \ud6c4 $p=[3, 2, 1]$, $q=[3, 4, 5, 2, 1]$\uc774 \ub41c\ub2e4.<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uc2dc\ud589\uc5d0\uc11c $i=2$, $j=4$\ub97c \uc120\ud0dd\ud55c\ub2e4. \uc2dc\ud589 \ud6c4 $p=[1, 2, 3]$, $q=[1, 2, 3, 4, 5]$\uac00 \ub41c\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \uc608\uc81c\uc5d0\uc11c, \ubaa9\ud45c\ub97c \ub2ec\uc131\ud558\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud568\uc744 \uc99d\uba85\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"30241","problem_lang":"1","title":"Two Permutations (Hard Version)","description":"<p><strong>This is the hard version of the problem. The difference between the two versions is that you have to minimize the number of operations in this version.<\/strong><\/p>\r\n\r\n<p>You have two permutations$^{\\dagger}$ $p_{1}, p_{2}, \\ldots, p_{n}$ (of integers $1$ to $n$) and $q_{1}, q_{2}, \\ldots, q_{m}$ (of integers $1$ to $m$). Initially $p_{i}=a_{i}$ for $i=1, 2, \\ldots, n$, and $q_{j} = b_{j}$ for $j = 1, 2, \\ldots, m$. You can apply the following operation on the permutations several (possibly, zero) times.<\/p>\r\n\r\n<p>In one operation, $p$ and $q$ will change according to the following three steps:<\/p>\r\n\r\n<p>\\begin{itemize}<\/p>\r\n\r\n<ul>\r\n\t<li>\\item You choose integers $i$, $j$ which satisfy $1 \\le i \\le n$ and $1 \\le j \\le m$.<\/li>\r\n\t<li>\\item Permutation $p$ is partitioned into three parts using $p_i$ as a pivot: the left part is formed by elements $p_1, p_2, \\ldots, p_{i-1}$ (this part may be empty), the middle part is the single element $p_i$, and the right part is $p_{i+1}, p_{i+2}, \\ldots, p_n$ (this part may be empty). To proceed, swap the left and the right parts of this partition. Formally, after this step, $p$ will become $p_{i+1}, p_{i+2}, \\ldots, p_{n}, p_{i}, p_{1}, p_{2}, \\ldots, p_{i-1}$. The elements of the newly formed $p$ will be reindexed starting from $1$.<\/li>\r\n\t<li>\\item Perform the same transformation on $q$ with index $j$. Formally, after this step, $q$ will become $q_{j+1}, q_{j+2}, \\ldots, q_{m}, q_{j}, q_{1}, q_{2}, \\ldots, q_{j-1}$. The elements of the newly formed $q$ will be reindexed starting from $1$.<\/li>\r\n<\/ul>\r\n\r\n<p>Your goal is to simultaneously make $p_{i}=i$ for $i=1, 2, \\ldots, n$, and $q_{j} = j$ for $j = 1, 2, \\ldots, m$.<\/p>\r\n\r\n<p>Find any way to achieve the goal <strong>using the minimum number of operations possible<\/strong>, or say that none exists. Please note that you <strong>have to<\/strong>&nbsp;minimize the number of operations.<\/p>\r\n\r\n<p>$^{\\dagger}$ A permutation of length $k$ is an array consisting of $k$ distinct integers from $1$ to $k$ in arbitrary order. For example, $[2,3,1,5,4]$ is a permutation, but $[1,2,2]$ is not a permutation ($2$ appears twice in the array), and $[1,3,4]$ is also not a permutation ($k=3$ but there is $4$ in the array).<\/p>\r\n","input":"<p>The first line contains two integers $n$ and $m$ ($1 \\le n, m \\le 2500$).<\/p>\r\n\r\n<p>The second line contains $n$ integers $a_1, a_2, \\ldots, a_n$ ($1 \\le a_i \\le n$).<\/p>\r\n\r\n<p>The third line contains $m$ integers $b_1, b_2, \\ldots, b_m$ ($1 \\le b_i \\le m$).<\/p>\r\n\r\n<p>It is guaranteed that $a$ and $b$ are permutations.<\/p>\r\n","output":"<p>If there is no solution, print a single integer $-1$.<\/p>\r\n\r\n<p>Otherwise, print an integer $k$ --- the number of operations to perform, followed by $k$ lines, each containing two integers $i$ and $j$ ($1 \\le i \\le n$, $1 \\le j \\le m$) --- the integers chosen for the operation.<\/p>\r\n\r\n<p>If there are multiple solutions, print any of them.<\/p>\r\n\r\n<p>Please note that you <strong>have to<\/strong>&nbsp;minimize the number of operations.<\/p>\r\n","hint":"<p>In the first test case, we can achieve the goal within $2$ operations:<\/p>\r\n\r\n<ol>\r\n\t<li>In the first operation, choose $i = 3$, $j = 4$. After this, $p$ becomes $[3, 2, 1]$ and $q$ becomes $[3, 4, 5, 2, 1]$.<\/li>\r\n\t<li>In the second operation, choose $i = 2$, $j = 4$. After this, $p$ becomes $[1, 2, 3]$ and $q$ becomes $[1, 2, 3, 4, 5]$.<\/li>\r\n<\/ol>\r\n\r\n<p>In the third test case, it is impossible to achieve the goal.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English"}]