시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 78 26 20 39.216%

문제

"The Drinking Musicians"는 2034년 그래미 어워즈에서 총 6관왕에 오른 유명한 N인조 밴드이다. 이 밴드의 음악은 엄청난 힘을 가지고 있어서, 사람의 생각을 조절할 수 있다. 대표적인 예로 결혼식에서 이 밴드의 "그 남자가 저기 있어"를 축가로 부르면, 모든 신부가 그 남자를 찾아 결혼식장을 나선다고 한다.

이 밴드의 공연을 보는 것은 쉽지 않다. 밴드는 정시에 도착하지 않으며, 공연장의 위치도 잘 모른다. 또, 공연장에 도착했더라도 길을 자주 잃어서 공연장을 찾지 못한다.

무대에 올라서 공연을 시작했다고 문제가 끝나는 것은 아니다. 각 멤버는 공연 도중에 자주 휴식을 취하러 백스테이지로 사라진다. 하지만 멤버 셋 이상이 동시에 휴식을 취하면, 무대 위의 남아있는 멤버들은 모두 큰 혼란에 빠지게 되고 연주를 더 이상 진행할 수 없다.

콘서트는 총 T분이고, 콘서트 도중에 각 멤버는 적절히 휴식을 가질 것이다. 각 멤버가 가지는 휴식 시간은 미리 알고있다.

이 밴드의 내한공연을 30년만에 성사시킨 상근이는 공연을 성공적으로 마치기 위해서 멤버들이 휴식을 가지는 시간을 계획하려고 한다. 무대 위에서 휴식을 취하러 가는 멤버는 많아야 두 명 이어야 한다. 또, 모든 휴식은 콘서트 도중에 일어나야 한다.

모든 멤버는 단 한 번의 휴식을 가질 수 있다. 각 멤버들이 공연이 시작하고 몇 분이 지나면 휴식을 취하러 가도 되는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 콘서트의 길이 T와 멤버의 수 N이 주어진다. (1 ≤ T ≤ 5000, 1 ≤ N ≤ 500)

다음 줄에는 각 멤버들이 휴식을 취하는 시간이 공백으로 구분되어서 주어진다.

항상 답이 존재하는 경우만 입력으로 주어진다. 하지만, 답이 유일하지 않을 수도 있다. 

출력

각 멤버가 공연이 시작하고 몇 분이 지난 후에 휴식을 가져야 하는지 출력한다. 입력으로 주어진 순서대로 출력한다.

예제 입력 1

10 5
7 5 1 2 3

예제 출력 1

3 3 9 0 0
[{"problem_id":"2994","problem_lang":"0","title":"\ub0b4\ud55c \uacf5\uc5f0","description":"\r\n<p>\r\n\t&quot;The Drinking Musicians&quot;\ub294 2034\ub144 \uadf8\ub798\ubbf8 \uc5b4\uc6cc\uc988\uc5d0\uc11c \ucd1d 6\uad00\uc655\uc5d0 \uc624\ub978 \uc720\uba85\ud55c N\uc778\uc870 \ubc34\ub4dc\uc774\ub2e4. \uc774 \ubc34\ub4dc\uc758 \uc74c\uc545\uc740 \uc5c4\uccad\ub09c \ud798\uc744 \uac00\uc9c0\uace0 \uc788\uc5b4\uc11c, \uc0ac\ub78c\uc758 \uc0dd\uac01\uc744 \uc870\uc808\ud560 \uc218 \uc788\ub2e4. \ub300\ud45c\uc801\uc778 \uc608\ub85c \uacb0\ud63c\uc2dd\uc5d0\uc11c \uc774 \ubc34\ub4dc\uc758 &quot;\uadf8 \ub0a8\uc790\uac00 \uc800\uae30 \uc788\uc5b4&quot;\ub97c \ucd95\uac00\ub85c \ubd80\ub974\uba74, \ubaa8\ub4e0 \uc2e0\ubd80\uac00 \uadf8 \ub0a8\uc790\ub97c \ucc3e\uc544 \uacb0\ud63c\uc2dd\uc7a5\uc744 \ub098\uc120\ub2e4\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc774 \ubc34\ub4dc\uc758 \uacf5\uc5f0\uc744 \ubcf4\ub294 \uac83\uc740 \uc27d\uc9c0 \uc54a\ub2e4. \ubc34\ub4dc\ub294 \uc815\uc2dc\uc5d0 \ub3c4\ucc29\ud558\uc9c0 \uc54a\uc73c\uba70, \uacf5\uc5f0\uc7a5\uc758 \uc704\uce58\ub3c4 \uc798 \ubaa8\ub978\ub2e4. \ub610, \uacf5\uc5f0\uc7a5\uc5d0 \ub3c4\ucc29\ud588\ub354\ub77c\ub3c4 \uae38\uc744 \uc790\uc8fc \uc783\uc5b4\uc11c \uacf5\uc5f0\uc7a5\uc744 \ucc3e\uc9c0 \ubabb\ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ubb34\ub300\uc5d0 \uc62c\ub77c\uc11c \uacf5\uc5f0\uc744 \uc2dc\uc791\ud588\ub2e4\uace0 \ubb38\uc81c\uac00 \ub05d\ub098\ub294 \uac83\uc740 \uc544\ub2c8\ub2e4. \uac01 \uba64\ubc84\ub294 \uacf5\uc5f0 \ub3c4\uc911\uc5d0 \uc790\uc8fc \ud734\uc2dd\uc744 \ucde8\ud558\ub7ec \ubc31\uc2a4\ud14c\uc774\uc9c0\ub85c \uc0ac\ub77c\uc9c4\ub2e4. \ud558\uc9c0\ub9cc \uba64\ubc84 \uc14b \uc774\uc0c1\uc774 \ub3d9\uc2dc\uc5d0 \ud734\uc2dd\uc744 \ucde8\ud558\uba74, \ubb34\ub300 \uc704\uc758 \ub0a8\uc544\uc788\ub294 \uba64\ubc84\ub4e4\uc740 \ubaa8\ub450 \ud070 \ud63c\ub780\uc5d0 \ube60\uc9c0\uac8c \ub418\uace0 \uc5f0\uc8fc\ub97c \ub354 \uc774\uc0c1 \uc9c4\ud589\ud560 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ucf58\uc11c\ud2b8\ub294 \ucd1d T\ubd84\uc774\uace0, \ucf58\uc11c\ud2b8 \ub3c4\uc911\uc5d0 \uac01 \uba64\ubc84\ub294 \uc801\uc808\ud788 \ud734\uc2dd\uc744 \uac00\uc9c8 \uac83\uc774\ub2e4. \uac01 \uba64\ubc84\uac00 \uac00\uc9c0\ub294 \ud734\uc2dd \uc2dc\uac04\uc740 \ubbf8\ub9ac \uc54c\uace0\uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc774 \ubc34\ub4dc\uc758 \ub0b4\ud55c\uacf5\uc5f0\uc744 30\ub144\ub9cc\uc5d0 \uc131\uc0ac\uc2dc\ud0a8 \uc0c1\uadfc\uc774\ub294 \uacf5\uc5f0\uc744 \uc131\uacf5\uc801\uc73c\ub85c \ub9c8\uce58\uae30 \uc704\ud574\uc11c \uba64\ubc84\ub4e4\uc774 \ud734\uc2dd\uc744 \uac00\uc9c0\ub294 \uc2dc\uac04\uc744 \uacc4\ud68d\ud558\ub824\uace0 \ud55c\ub2e4. \ubb34\ub300 \uc704\uc5d0\uc11c \ud734\uc2dd\uc744 \ucde8\ud558\ub7ec \uac00\ub294 \uba64\ubc84\ub294 \ub9ce\uc544\uc57c \ub450 \uba85 \uc774\uc5b4\uc57c \ud55c\ub2e4. \ub610, \ubaa8\ub4e0 \ud734\uc2dd\uc740 \ucf58\uc11c\ud2b8 \ub3c4\uc911\uc5d0 \uc77c\uc5b4\ub098\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ubaa8\ub4e0 \uba64\ubc84\ub294 \ub2e8 \ud55c \ubc88\uc758 \ud734\uc2dd\uc744 \uac00\uc9c8 \uc218 \uc788\ub2e4. \uac01 \uba64\ubc84\ub4e4\uc774 \uacf5\uc5f0\uc774 \uc2dc\uc791\ud558\uace0 \uba87 \ubd84\uc774 \uc9c0\ub098\uba74 \ud734\uc2dd\uc744 \ucde8\ud558\ub7ec \uac00\ub3c4 \ub418\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"\r\n<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \ucf58\uc11c\ud2b8\uc758 \uae38\uc774 T\uc640 \uba64\ubc84\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; T &le; 5000, 1 &le; N &le; 500)<\/p>\r\n\r\n<p>\r\n\t\ub2e4\uc74c \uc904\uc5d0\ub294 \uac01 \uba64\ubc84\ub4e4\uc774 \ud734\uc2dd\uc744 \ucde8\ud558\ub294 \uc2dc\uac04\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc11c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ud56d\uc0c1 \ub2f5\uc774 \uc874\uc7ac\ud558\ub294 \uacbd\uc6b0\ub9cc \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ud558\uc9c0\ub9cc, \ub2f5\uc774 \uc720\uc77c\ud558\uc9c0 \uc54a\uc744 \uc218\ub3c4 \uc788\ub2e4.&nbsp;<\/p>\r\n","output":"<p>\r\n\t\uac01 \uba64\ubc84\uac00 \uacf5\uc5f0\uc774 \uc2dc\uc791\ud558\uace0 \uba87 \ubd84\uc774 \uc9c0\ub09c \ud6c4\uc5d0 \ud734\uc2dd\uc744 \uac00\uc838\uc57c \ud558\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4. \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2994","problem_lang":"1","title":"MUZICARI","description":"<p>&quot;The Drinking Musicians&quot;, a widely known and popular folk group, are coming to your town. The musicians are known not only by their playing skills, but also their rough character. They never arrive on time, don&#39;t know which town they&#39;re in, and frequently have trouble finding the stage.&nbsp;<\/p>\r\n\r\n<p>Additionally, during the concert, each of the musicians at one point takes a break. If three or more of them are on a break at the same time, they start stirring trouble in town and the rest of the group start panicking and playing the wrong chords.&nbsp;<\/p>\r\n\r\n<p>The concert will be T minutes long, during which each of the N members will take a break. The length of the break is known for each member.&nbsp;<\/p>\r\n\r\n<p>Help the organizer of the concert by writing a program that determines how to schedule the breaks of the member so that, at any given moment, at most two are absent from the stage. All breaks must be entirely during the concert.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains the integers T and N (1 &le; T &le; 5000, 1 &le; N &le; 500), the length of the concert in minutes and the number of musicians in the group.&nbsp;<\/p>\r\n\r\n<p>The next line contains N integers separated by single spaces, the length of the break in minutes for each member.&nbsp;<\/p>\r\n\r\n<p>Note: The input data will be such that a solution, although not necessarily unique, will always exist.&nbsp;<\/p>\r\n","output":"<p>For each musician output one integer, the number of minutes the musician will spend on stage before going on the break.&nbsp;<\/p>\r\n\r\n<p>Output the musicians in the same order they were given in the input.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]