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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

8 3
4 4 4

예제 출력 1

0 2 4

예제 입력 2

10 5
7 5 1 2 3

예제 출력 2

3 3 9 0 0
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(1 &le; T &le; 5000, 1 &le; N &le; 500)<\/p>\r\n\r\n<p>\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>\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>\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","html_title":"0","problem_lang_tcode":"Korean"},{"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. 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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","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2007/2008 > Contest #4 4번