문제
카이스트의 PS 동아리인 RUN은 무려 $N$명의 회원을 가지고 있는 유서깊은 동아리이다. 회원 수가 많은 만큼, RUN에는 매우 다양한 실력대의 회원들이 있다. RUN의 친목부장인 코코아는 회원들간의 친밀도를 조사하기 위해 회원들의 실력을 조사해두었다. 코코아는 $i$번째 회원의 실력이 양의 정수 $a_i$라는 사실과, 모든 회원들의 실력이 $M$ 이하라는 사실을 확인하였다.
코코아는 실력의 분포가 다양할수록 회원들간의 친밀도가 높을 것이라고 생각했다. 따라서, 코코아는 RUN의 친밀도를 $\sum_{1\le i<j\le n} |a_i-a_j|$와 같이 정의했다.
유감스럽게도, 업무를 처리하던 코코아는 회원들의 실력이 적힌 명부에 코코아를 쏟아 일부 회원들의 실력을 알아볼 수 없게 되었다! 코코아가 쏟아진 명부를 보면서, 문득 코코아는 알아볼 수 없게 된 회원들의 실력에 따른 RUN의 친밀도의 최댓값이 궁금해졌다. 코코아를 대신해서 실력을 알아볼 수 없는 회원들의 실력들을 1ドル$부터 $M$ 사이의 정수로 적절히 대체할 때, 가능한 RUN의 친밀도의 최댓값을 구해보자.
출력
하나의 정수를 출력한다. 이는 $a_i=0$인 각 $i$들에 대해 해당 회원의 실력을 1ドル$부터 $M$사이의 정수로 적절히 대체하였을 때 얻을 수 있는 RUN의 친밀도의 최댓값이어야 한다.
제한
- 1ドル\le N\le 100,000円$
- 1ドル\le M\le 10^6$
- 모든 1ドル \le i \le N$에 대하여 0ドル\le a_i\le M$
서브태스크
| 번호 | 배점 | 제한 | | 1 | 20 | $N\le 5, M\le 5$
|
| 2 | 20 | 모든 1ドル \le i \le N$에 대하여 $a_i\ge 1$
|
| 3 | 20 | $M\le 100$
|
| 4 | 40 | 추가적인 제약 조건이 없다.
|
1번, 3번, 5번 회원의 실력은 3,4,5이며, 2번, 4번 회원은 실력을 알아볼 수 없다. 친밀도가 가장 커지는 경우는 2번, 4번 회원의 실력이 각각 1,1일 때이다.
힌트
RUN에는 친목부장이라는 임원직이 실존하지 않습니다. 만약 자신을 친목부장으로 자처하는 사람을 만난다면, 즉시 다른 임원진을 호출하세요.
[{"problem_id":"33802","problem_lang":"0","title":"Difference Maximization","description":"<p>\uce74\uc774\uc2a4\ud2b8\uc758 PS \ub3d9\uc544\ub9ac\uc778 RUN\uc740 \ubb34\ub824 $N$\uba85\uc758 \ud68c\uc6d0\uc744 \uac00\uc9c0\uace0 \uc788\ub294 \uc720\uc11c\uae4a\uc740 \ub3d9\uc544\ub9ac\uc774\ub2e4. \ud68c\uc6d0 \uc218\uac00 \ub9ce\uc740 \ub9cc\ud07c, RUN\uc5d0\ub294 \ub9e4\uc6b0 \ub2e4\uc591\ud55c \uc2e4\ub825\ub300\uc758 \ud68c\uc6d0\ub4e4\uc774 \uc788\ub2e4. RUN\uc758 \uce5c\ubaa9\ubd80\uc7a5\uc778 \ucf54\ucf54\uc544\ub294 \ud68c\uc6d0\ub4e4\uac04\uc758 \uce5c\ubc00\ub3c4\ub97c \uc870\uc0ac\ud558\uae30 \uc704\ud574 \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc744 \uc870\uc0ac\ud574\ub450\uc5c8\ub2e4. \ucf54\ucf54\uc544\ub294 $i$\ubc88\uc9f8 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc774 \uc591\uc758 \uc815\uc218 $a_i$\ub77c\ub294 \uc0ac\uc2e4\uacfc, \ubaa8\ub4e0 \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc774 $M$ \uc774\ud558\ub77c\ub294 \uc0ac\uc2e4\uc744 \ud655\uc778\ud558\uc600\ub2e4.<\/p>\r\n\r\n<p>\ucf54\ucf54\uc544\ub294 \uc2e4\ub825\uc758 \ubd84\ud3ec\uac00 \ub2e4\uc591\ud560\uc218\ub85d \ud68c\uc6d0\ub4e4\uac04\uc758 \uce5c\ubc00\ub3c4\uac00 \ub192\uc744 \uac83\uc774\ub77c\uace0 \uc0dd\uac01\ud588\ub2e4. \ub530\ub77c\uc11c, \ucf54\ucf54\uc544\ub294 RUN\uc758 <strong>\uce5c\ubc00\ub3c4<\/strong>\ub97c $\\sum_{1\\le i&lt;j\\le n} |a_i-a_j|$\uc640 \uac19\uc774 \uc815\uc758\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc720\uac10\uc2a4\ub7fd\uac8c\ub3c4, \uc5c5\ubb34\ub97c \ucc98\ub9ac\ud558\ub358 \ucf54\ucf54\uc544\ub294 \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc774 \uc801\ud78c \uba85\ubd80\uc5d0 \ucf54\ucf54\uc544\ub97c \uc3df\uc544 \uc77c\ubd80 \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc744 \uc54c\uc544\ubcfc \uc218 \uc5c6\uac8c \ub418\uc5c8\ub2e4! \ucf54\ucf54\uc544\uac00 \uc3df\uc544\uc9c4 \uba85\ubd80\ub97c \ubcf4\uba74\uc11c, \ubb38\ub4dd \ucf54\ucf54\uc544\ub294 \uc54c\uc544\ubcfc \uc218 \uc5c6\uac8c \ub41c \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc5d0 \ub530\ub978 RUN\uc758 \uce5c\ubc00\ub3c4\uc758 \ucd5c\ub313\uac12\uc774 \uad81\uae08\ud574\uc84c\ub2e4. \ucf54\ucf54\uc544\ub97c \ub300\uc2e0\ud574\uc11c \uc2e4\ub825\uc744 \uc54c\uc544\ubcfc \uc218 \uc5c6\ub294 \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\ub4e4\uc744 $1$\ubd80\ud130 $M$ \uc0ac\uc774\uc758 \uc815\uc218\ub85c \uc801\uc808\ud788 \ub300\uccb4\ud560 \ub54c, \uac00\ub2a5\ud55c RUN\uc758 \uce5c\ubc00\ub3c4\uc758 \ucd5c\ub313\uac12\uc744 \uad6c\ud574\ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 RUN\uc758 \ud68c\uc6d0\uc218\uc778 \uc815\uc218 $N$\uacfc, \ud68c\uc6d0\ub4e4\uc758 \uc2e4\ub825\uc758 \uc0c1\uacc4\uc778 \uc815\uc218 $M$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub4a4, \ub450 \ubc88\uc9f8 \uc904\uc5d0 $N$\uac1c\uc758 \uc74c\uc774 \uc544\ub2cc \uc815\uc218 $a_i$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 $a_i\\ge 1$\uc774\ub77c\uba74 $i$\ubc88\uc9f8 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc774 $a_i$\ub77c\ub294 \uac83\uc774\uace0, $a_i=0$\uc774\ub77c\uba74 $i$\ubc88\uc9f8 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc744 \uc54c\uc544\ubcfc \uc218 \uc5c6\ub2e4\ub294 \uac83\uc774\ub2e4.<\/p>\r\n","output":"<p>\ud558\ub098\uc758 \uc815\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc774\ub294 $a_i=0$\uc778 \uac01 $i$\ub4e4\uc5d0 \ub300\ud574 \ud574\ub2f9 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc744 $1$\ubd80\ud130 $M$\uc0ac\uc774\uc758 \uc815\uc218\ub85c \uc801\uc808\ud788 \ub300\uccb4\ud558\uc600\uc744 \ub54c \uc5bb\uc744 \uc218 \uc788\ub294 RUN\uc758 \uce5c\ubc00\ub3c4\uc758 \ucd5c\ub313\uac12\uc774\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n","hint":"<p>RUN\uc5d0\ub294 <strong><span style=\"color:#e74c3c;\">\uce5c\ubaa9\ubd80\uc7a5<\/span><\/strong>\uc774\ub77c\ub294 \uc784\uc6d0\uc9c1\uc774 \uc2e4\uc874\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ub9cc\uc57d \uc790\uc2e0\uc744 \uce5c\ubaa9\ubd80\uc7a5\uc73c\ub85c \uc790\ucc98\ud558\ub294 \uc0ac\ub78c\uc744 \ub9cc\ub09c\ub2e4\uba74, \uc989\uc2dc \ub2e4\ub978 \uc784\uc6d0\uc9c4\uc744 \ud638\ucd9c\ud558\uc138\uc694.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1\\le N\\le 100\\,000$<\/li>\r\n\t<li>$1\\le M\\le 10^6$<\/li>\r\n\t<li>\ubaa8\ub4e0 $1 \\le i \\le N$\uc5d0 \ub300\ud558\uc5ec $0\\le a_i\\le M$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N\\le 5, M\\le 5$<\/p>\r\n","subtask2":"<p>\ubaa8\ub4e0 $1 \\le i \\le N$\uc5d0 \ub300\ud558\uc5ec $a_i\\ge 1$<\/p>\r\n","subtask3":"<p>$M\\le 100$<\/p>\r\n","subtask4":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","sample_explain_1":"<p>1\ubc88, 3\ubc88, 5\ubc88 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc740 3,4,5\uc774\uba70, 2\ubc88, 4\ubc88 \ud68c\uc6d0\uc740 \uc2e4\ub825\uc744 \uc54c\uc544\ubcfc \uc218 \uc5c6\ub2e4. \uce5c\ubc00\ub3c4\uac00 \uac00\uc7a5 \ucee4\uc9c0\ub294 \uacbd\uc6b0\ub294 2\ubc88, 4\ubc88 \ud68c\uc6d0\uc758 \uc2e4\ub825\uc774 \uac01\uac01 1,1\uc77c \ub54c\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"33802","problem_lang":"1","title":"Difference Maximization","description":"<p>RUN, the PS club at KAIST, is a prestigious club with as many as $N$ members. With so many members, RUN has a wide range of skill levels among its members. Cocoa, the friendship president&nbsp;at RUN, has surveyed the members&#39; skills to investigate their closeness. Cocoa confirmed that the skill level of the $i$-th member is a positive integer $a_i$, and that all members have a skill level no greater than $M$.<\/p>\r\n\r\n<p>Cocoa believed that the greater the diversity in skill distribution, the stronger the bond between members. Therefore, Cocoa defined RUN&#39;s <strong>closeness<\/strong>&nbsp;as $\\sum_{1\\le i&lt;j\\le n} |a_i-a_j|$.<\/p>\r\n\r\n<p>Unfortunately, while working, Cocoa spilled cocoa over the roster that listed the members&#39; skills, making it impossible to read the skills of some members! While looking at the stained roster, Cocoa wondered what the maximum possible closeness of RUN could be, depending on the skills of the unreadable members.<\/p>\r\n\r\n<p>Let&#39;s find the maximum possible closeness by appropriately replacing the unreadable members&#39; skills with integers between $1$ and $M$.<\/p>\r\n","input":"<p>The first line contains two integers, $N$, the number of RUN members, and $M$, the upper bound of the members&#39; skill levels, separated by spaces.<\/p>\r\n\r\n<p>The second line contains $N$ non-negative integers $a_i$ separated by spaces. If $a_i\\ge 1$, it means the skill level of the $i$-th member is $a_i$; if $a_i=0$, it means the skill level of the $i$-th member is unreadable.<\/p>\r\n","output":"<p>Output a single integer: the maximum possible closeness of RUN that can be achieved by appropriately replacing each unreadable member&#39;s skill ($a_i=0$) with an integer between $1$ and $M$.<\/p>\r\n","hint":"<p>The position of <strong><span style=\"color:#e74c3c;\">Friendship president<\/span><\/strong>&nbsp;does not actually exist in RUN. If you encounter someone claiming to hold this position, immediately call another executive member.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1\\le N\\le 100\\,000$<\/li>\r\n\t<li>$1\\le M\\le 10^6$<\/li>\r\n\t<li>$0\\le a_i\\le M$ for every $1 \\le i \\le N$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N\\le 5, M\\le 5$<\/p>\r\n","subtask2":"<p>$a_i\\ge 1$ for every $1 \\le i \\le N$<\/p>\r\n","subtask3":"<p>$M\\le 100$<\/p>\r\n","subtask4":"<p>No additional constraints.<\/p>\r\n","sample_explain_1":"<p>The skills of members 1, 3, and 5 are 3, 4, and 5, respectively, while the skills of members 2 and 4 are unreadable. The case that yields the maximum closeness is when the skills of members 2 and 4 are both 1.<\/p>\r\n"}]