시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1 0 0 0.000%

문제

동혁 천문 관측소에서는 망원경 N개로 서로 다른 행성을 관측하고 있다. 관측소에서는 행성에서 발생하는 사건을 M가지 종류로 구분해 놓았다. 모든 행성에서 하루에 발생하는 사건은 한 종류이다. 모든 사건은 적어도 하루동안 지속되며, 많아야 365일동안 지속된다. 사건은 발생했다면, 항상 하루 종일 발생한다. 즉, 첫 날 지속되고, 둘째 날의 중간에 사건이 그만 발생하는 경우는 없다. 둘째 날에도 사건이 발생했다면, 둘째 날이 끝날 때 까지 사건이 발생한다. 각 사건은 항상 같은 기간 동안 발생한다. 즉, 어떤 행성이서 발생하느냐에 상관 없이 사건의 종류가 같다면 일어나는 기간도 같다.

이제 몇 년 동안 관측한 데이터를 분석하려고 한다. 망원경은 모든 관측을 기록해두었다. 하지만, 기록한 연도를 적지 않았다. 각 망원경이 기록한 내용은 기록을 시작한 날짜와, 끝낸 날짜, 그리고 각 사건이 몇 종류 발생했는지 기록되어 있다. 이때, 각 사건이 발생하는 기간을 구하는 프로그램을 작성하시오.

일년은 365일이고, 윤년은 없다.

입력

첫째 줄에 망원경의 수 N과 종류의 수 M이 주어진다. (1 ≤ N, M ≤ 200)

다음 N개 줄에는 아래 형식과 같은 M+4개의 숫자가 주어진다.

D1D1 M1M1 D2D2 M2M2 F1 F2 ... FM

여기서 D1D1 M1M1 (01 ≤ DD ≤ 31, 01 ≤ MM ≤ 12)은 관측을 시작한 날짜이고, D2D2 M2M2는 끝난 날짜이다. 그리고, Fi (0 ≤ Fi ≤ 200)는 사건 i가 발생한 횟수이다.

출력

출력은 총 M개 숫자이고, 각 사건이 발생한 기간이다. 만약, 가능한 정답이 여러 가지라면 아무거나 출력한다. 또, 정답이 없는 경우에는 -1을 출력한다.

예제 입력 1

1 1
26 02 03 03 1

예제 출력 1

5
[{"problem_id":"2913","problem_lang":"0","title":"\ub3d9\ud601 \ucc9c\ubb38 \uad00\uce21\uc18c","description":"<p>\r\n\t\ub3d9\ud601 \ucc9c\ubb38 \uad00\uce21\uc18c\uc5d0\uc11c\ub294 \ub9dd\uc6d0\uacbd N\uac1c\ub85c \uc11c\ub85c \ub2e4\ub978 \ud589\uc131\uc744 \uad00\uce21\ud558\uace0 \uc788\ub2e4. \uad00\uce21\uc18c\uc5d0\uc11c\ub294 \ud589\uc131\uc5d0\uc11c \ubc1c\uc0dd\ud558\ub294 \uc0ac\uac74\uc744 M\uac00\uc9c0 \uc885\ub958\ub85c \uad6c\ubd84\ud574 \ub193\uc558\ub2e4. \ubaa8\ub4e0 \ud589\uc131\uc5d0\uc11c \ud558\ub8e8\uc5d0 \ubc1c\uc0dd\ud558\ub294 \uc0ac\uac74\uc740 \ud55c \uc885\ub958\uc774\ub2e4. \ubaa8\ub4e0 \uc0ac\uac74\uc740 \uc801\uc5b4\ub3c4 \ud558\ub8e8\ub3d9\uc548 \uc9c0\uc18d\ub418\uba70, \ub9ce\uc544\uc57c 365\uc77c\ub3d9\uc548 \uc9c0\uc18d\ub41c\ub2e4. \uc0ac\uac74\uc740 \ubc1c\uc0dd\ud588\ub2e4\uba74, \ud56d\uc0c1 \ud558\ub8e8 \uc885\uc77c \ubc1c\uc0dd\ud55c\ub2e4. \uc989, \uccab \ub0a0 \uc9c0\uc18d\ub418\uace0, \ub458\uc9f8 \ub0a0\uc758 \uc911\uac04\uc5d0 \uc0ac\uac74\uc774 \uadf8\ub9cc \ubc1c\uc0dd\ud558\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \ub458\uc9f8 \ub0a0\uc5d0\ub3c4 \uc0ac\uac74\uc774 \ubc1c\uc0dd\ud588\ub2e4\uba74, \ub458\uc9f8 \ub0a0\uc774 \ub05d\ub0a0 \ub54c \uae4c\uc9c0 \uc0ac\uac74\uc774 \ubc1c\uc0dd\ud55c\ub2e4. \uac01 \uc0ac\uac74\uc740 \ud56d\uc0c1 \uac19\uc740 \uae30\uac04 \ub3d9\uc548 \ubc1c\uc0dd\ud55c\ub2e4. \uc989, \uc5b4\ub5a4 \ud589\uc131\uc774\uc11c \ubc1c\uc0dd\ud558\ub290\ub0d0\uc5d0 \uc0c1\uad00 \uc5c6\uc774 \uc0ac\uac74\uc758 \uc885\ub958\uac00 \uac19\ub2e4\uba74 \uc77c\uc5b4\ub098\ub294 \uae30\uac04\ub3c4 \uac19\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc774\uc81c \uba87 \ub144 \ub3d9\uc548 \uad00\uce21\ud55c \ub370\uc774\ud130\ub97c \ubd84\uc11d\ud558\ub824\uace0 \ud55c\ub2e4. \ub9dd\uc6d0\uacbd\uc740 \ubaa8\ub4e0 \uad00\uce21\uc744 \uae30\ub85d\ud574\ub450\uc5c8\ub2e4. \ud558\uc9c0\ub9cc, \uae30\ub85d\ud55c \uc5f0\ub3c4\ub97c \uc801\uc9c0 \uc54a\uc558\ub2e4. \uac01 \ub9dd\uc6d0\uacbd\uc774 \uae30\ub85d\ud55c \ub0b4\uc6a9\uc740 \uae30\ub85d\uc744 \uc2dc\uc791\ud55c \ub0a0\uc9dc\uc640, \ub05d\ub0b8 \ub0a0\uc9dc, \uadf8\ub9ac\uace0 \uac01 \uc0ac\uac74\uc774 \uba87 \uc885\ub958 \ubc1c\uc0dd\ud588\ub294\uc9c0 \uae30\ub85d\ub418\uc5b4 \uc788\ub2e4. \uc774\ub54c, \uac01 \uc0ac\uac74\uc774 \ubc1c\uc0dd\ud558\ub294 \uae30\uac04\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\r\n\t\uc77c\ub144\uc740 365\uc77c\uc774\uace0, \uc724\ub144\uc740 \uc5c6\ub2e4.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \ub9dd\uc6d0\uacbd\uc758 \uc218 N\uacfc \uc885\ub958\uc758 \uc218 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N, M &le; 200)<\/p>\r\n\r\n<p>\r\n\t\ub2e4\uc74c N\uac1c \uc904\uc5d0\ub294 \uc544\ub798 \ud615\uc2dd\uacfc \uac19\uc740 M+4\uac1c\uc758 \uc22b\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\r\n\tD<sub>1<\/sub>D<sub>1<\/sub> M<sub>1<\/sub>M<sub>1<\/sub> D<sub>2<\/sub>D<sub>2<\/sub> M<sub>2<\/sub>M<sub>2<\/sub> F<sub>1<\/sub> F<sub>2<\/sub> ... F<sub>M<\/sub><\/p>\r\n\r\n<p>\r\n\t\uc5ec\uae30\uc11c D<sub>1<\/sub>D<sub>1<\/sub> M<sub>1<\/sub>M<sub>1<\/sub> (01 &le; DD &le; 31, 01 &le; MM &le; 12)\uc740 \uad00\uce21\uc744 \uc2dc\uc791\ud55c \ub0a0\uc9dc\uc774\uace0, D<sub>2<\/sub>D<sub>2<\/sub> M<sub>2<\/sub>M<sub>2<\/sub>\ub294 \ub05d\ub09c \ub0a0\uc9dc\uc774\ub2e4. \uadf8\ub9ac\uace0, F<sub>i<\/sub> (0 &le; F<sub>i<\/sub> &le; 200)\ub294 \uc0ac\uac74 i\uac00 \ubc1c\uc0dd\ud55c \ud69f\uc218\uc774\ub2e4.<\/p>\r\n","output":"<p>\r\n\t\ucd9c\ub825\uc740 \ucd1d M\uac1c \uc22b\uc790\uc774\uace0, \uac01 \uc0ac\uac74\uc774 \ubc1c\uc0dd\ud55c \uae30\uac04\uc774\ub2e4. \ub9cc\uc57d, \uac00\ub2a5\ud55c \uc815\ub2f5\uc774 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74 \uc544\ubb34\uac70\ub098 \ucd9c\ub825\ud55c\ub2e4. \ub610, \uc815\ub2f5\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 -1\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2913","problem_lang":"1","title":"PLANETE","description":"<p>European Space Agency has N telescopes observing distant planets. The classified M different types of events. They noticed that every day on each planet there is exactly one type of event. They measure events in days because they discovered each event lasts at least one day, and at most 365 days. Events last only complete number of days, they never last fractional part of day. Each event of the same type lasts exactly the same number of days every time it occurs, regardless of the planet it occurs on.<\/p>\r\n\r\n<p>After many years of observation they want to analyze data. The telescopes logged all observations, but unfortunately they forgot to write down the year the observations took place! Each telescope entry consists of start date, end date and number of each type of events observed. Given all observations on all planets, calculate the duration of each type of event. Note that the telescopes are super precise and they start working exactly when the event starts and end when an event ends, not necessarily the same one.<\/p>\r\n\r\n<p>Note: for this task, each year has exactely 365 days.<\/p>\r\n","input":"<p>First line contains integers N and M (1 &le; N, M &le; 200) number of telescopes and number of event types. Next N lines contain M+4 numbers each:<\/p>\r\n\r\n<p>&bdquo;D<sub>1<\/sub>D<sub>1<\/sub>&nbsp;M<sub>1<\/sub>M<sub>1<\/sub>&nbsp;D<sub>2<\/sub>D<sub>2<\/sub>&nbsp;M<sub>2<\/sub>M<sub>2<\/sub>&nbsp;F<sub>1<\/sub>&nbsp;F<sub>2<\/sub>&nbsp;... F<sub>M<\/sub>&ldquo;<\/p>\r\n\r\n<p>Where D<sub>1<\/sub>D<sub>1<\/sub>&nbsp;M<sub>1<\/sub>M<sub>1<\/sub> (01 &le; DD &le; 31, 01 &le; MM &le; 12) are start date, D<sub>2<\/sub>D<sub>2<\/sub>&nbsp;M<sub>2<\/sub>M<sub>2<\/sub>&nbsp;end date, and F<sub>i<\/sub> (0 &le; F<sub>i<\/sub> &le; 200) number of times event type I was observed.<\/p>\r\n","output":"<p>One line containing M numbers, durations of event types. If more than one solution exists, output any one. If no solution exists, output &ldquo;-1&rdquo;.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]