문제
hibye1217은 150ドル$분간 진행되는 대학교 동아리 내전에서 29ドル$분만에 스코어보드를 프리즈시킨 적이 있다.
이제는 동아리의 운영진이 되어 내전을 운영하는 입장이 된 hibye1217은 이번 내전에서도 이 정도 속도의 프리즈가 일어날 것을 걱정하여, 프리즈 공지 멘트를 자동으로 작성하는 프로그램을 만들기로 했다.
이번 동아리 내전은 $M$분간 진행되며, 아래 두 조건 중 하나 이상을 만족할 때 스코어보드가 프리즈된다.
내전이 끝날 때까지 $L$분이 남았을 때.
1ドル$문제를 제외하고 모든 문제를 해결한 참가자가 등장할 때.
hibye1217은 지금까지의 데이터를 기반으로 이번 내전에 참가하는 $N$명의 참가자에 대해, $i$번째 참가자는 1ドル$문제를 제외하고 모든 문제를 해결할 때까지 $S_i$분이 걸릴 것으로 예상하고 있다. 단, 해당 참가자가 내전 시간 내에 1ドル$문제를 제외하고 모든 문제를 해결할 수 없다고 생각하는 경우 $S_i=-1$이다. 이 데이터를 토대로 프리즈 공지를 작성해 보자.
출력
각 테스트케이스에 대해, 내전이 끝날 때까지 $X$분 남은 시점에서 스코어보드가 프리즈된다면 The scoreboard has been frozen with X minutes remaining.minutesminute
예제 출력 1
복사
The scoreboard has been frozen with 180 minutes remaining.
The scoreboard has been frozen with 1 minute remaining.
The scoreboard has been frozen with 2 minutes remaining.
예제 출력 2
복사
The scoreboard has been frozen with 121 minutes remaining.
The scoreboard has been frozen with 70 minutes remaining.
노트
궁금한 사람들을 위해, 아래는 내전 당시 스코어보드를 찍은 사진이다.
참고로 hibye1217은 이 상태에서 2시간 동안 E를 못 풀어서 수상을 못 했다고 한다.
[{"problem_id":"34021","problem_lang":"0","title":"[T] \uc2a4\ucf54\uc5b4\ubcf4\ub4dc\uac00 121\ubd84 \ub0a8\uc740 \uc2dc\uc810\uc5d0\uc11c \ud504\ub9ac\uc988\ub418\uc5c8\uc2b5\ub2c8\ub2e4.","description":"<p>hibye1217\uc740 $150$\ubd84\uac04 \uc9c4\ud589\ub418\ub294 \ub300\ud559\uad50 \ub3d9\uc544\ub9ac \ub0b4\uc804\uc5d0\uc11c $29$\ubd84\ub9cc\uc5d0 \uc2a4\ucf54\uc5b4\ubcf4\ub4dc\ub97c \ud504\ub9ac\uc988\uc2dc\ud0a8 \uc801\uc774 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc81c\ub294 \ub3d9\uc544\ub9ac\uc758 \uc6b4\uc601\uc9c4\uc774 \ub418\uc5b4 \ub0b4\uc804\uc744 \uc6b4\uc601\ud558\ub294 \uc785\uc7a5\uc774 \ub41c hibye1217\uc740 \uc774\ubc88 \ub0b4\uc804\uc5d0\uc11c\ub3c4 \uc774 \uc815\ub3c4 \uc18d\ub3c4\uc758 \ud504\ub9ac\uc988\uac00 \uc77c\uc5b4\ub0a0 \uac83\uc744 \uac71\uc815\ud558\uc5ec, \ud504\ub9ac\uc988 \uacf5\uc9c0 \uba58\ud2b8\ub97c \uc790\ub3d9\uc73c\ub85c \uc791\uc131\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \ub9cc\ub4e4\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc774\ubc88 \ub3d9\uc544\ub9ac \ub0b4\uc804\uc740 $M$\ubd84\uac04 \uc9c4\ud589\ub418\uba70, \uc544\ub798 \ub450 \uc870\uac74 \uc911 \ud558\ub098 \uc774\uc0c1\uc744 \ub9cc\uc871\ud560 \ub54c \uc2a4\ucf54\uc5b4\ubcf4\ub4dc\uac00 \ud504\ub9ac\uc988\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub0b4\uc804\uc774 \ub05d\ub0a0 \ub54c\uae4c\uc9c0 $L$\ubd84\uc774 \ub0a8\uc558\uc744 \ub54c.<\/li>\r\n\t<li>$1$\ubb38\uc81c\ub97c \uc81c\uc678\ud558\uace0 \ubaa8\ub4e0 \ubb38\uc81c\ub97c \ud574\uacb0\ud55c \ucc38\uac00\uc790\uac00 \ub4f1\uc7a5\ud560 \ub54c.<\/li>\r\n<\/ul>\r\n\r\n<p>hibye1217\uc740 \uc9c0\uae08\uae4c\uc9c0\uc758 \ub370\uc774\ud130\ub97c \uae30\ubc18\uc73c\ub85c \uc774\ubc88 \ub0b4\uc804\uc5d0 \ucc38\uac00\ud558\ub294 $N$\uba85\uc758 \ucc38\uac00\uc790\uc5d0 \ub300\ud574, $i$\ubc88\uc9f8 \ucc38\uac00\uc790\ub294 $1$\ubb38\uc81c\ub97c \uc81c\uc678\ud558\uace0 \ubaa8\ub4e0 \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \ub54c\uae4c\uc9c0 $S_i$\ubd84\uc774 \uac78\ub9b4 \uac83\uc73c\ub85c \uc608\uc0c1\ud558\uace0 \uc788\ub2e4. \ub2e8, \ud574\ub2f9 \ucc38\uac00\uc790\uac00 \ub0b4\uc804 \uc2dc\uac04 \ub0b4\uc5d0 $1$\ubb38\uc81c\ub97c \uc81c\uc678\ud558\uace0 \ubaa8\ub4e0 \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \uc218 \uc5c6\ub2e4\uace0 \uc0dd\uac01\ud558\ub294 \uacbd\uc6b0 $S_i=-1$\uc774\ub2e4. \uc774 \ub370\uc774\ud130\ub97c \ud1a0\ub300\ub85c \ud504\ub9ac\uc988 \uacf5\uc9c0\ub97c \uc791\uc131\ud574 \ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uac1c\uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le T\\le 100)$<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \uccab\uc9f8 \uc904\uc5d0\ub294 \ubb38\uc81c\uc5d0\uc11c \uc124\uba85\ud55c \uc138 \uc815\uc218 $N$, $M$, $L$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le N\\le 1000;$ $1\\le L\\le M\\le 1440)$<\/p>\r\n\r\n<p>\uc774\ud6c4 \ub458\uc9f8 \uc904\uc5d0\ub294 \ubb38\uc81c\uc5d0\uc11c \uc124\uba85\ud55c $N$\uac1c\uc758 \uc815\uc218 $S_1,S_2,\\ldots ,S_N$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(-1\\le S_i\\le M)$<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \ub0b4\uc804\uc774 \ub05d\ub0a0 \ub54c\uae4c\uc9c0 $X$\ubd84 \ub0a8\uc740 \uc2dc\uc810\uc5d0\uc11c \uc2a4\ucf54\uc5b4\ubcf4\ub4dc\uac00 \ud504\ub9ac\uc988\ub41c\ub2e4\uba74 <span style=\"color:#e74c3c;\"><code>The scoreboard has been frozen with X minutes remaining.<\/code><\/span>\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub2e8, $X=1$\uc774\ub77c\uba74 <span style=\"color:#e74c3c;\"><code>minutes<\/code><\/span> \ub300\uc2e0 <span style=\"color:#e74c3c;\"><code>minute<\/code><\/span>\uc73c\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uad81\uae08\ud55c \uc0ac\ub78c\ub4e4\uc744 \uc704\ud574, \uc544\ub798\ub294 \ub0b4\uc804 \ub2f9\uc2dc \uc2a4\ucf54\uc5b4\ubcf4\ub4dc\ub97c \ucc0d\uc740 \uc0ac\uc9c4\uc774\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/36d0c50c-7c57-44c2-8bef-3daabec3b269\/-\/preview\/\" style=\"width: 500px; max-width: 100%;\" \/><\/p>\r\n\r\n<p>\ucc38\uace0\ub85c hibye1217\uc740 \uc774 \uc0c1\ud0dc\uc5d0\uc11c 2\uc2dc\uac04 \ub3d9\uc548 E\ub97c \ubabb \ud480\uc5b4\uc11c \uc218\uc0c1\uc744 \ubabb \ud588\ub2e4\uace0 \ud55c\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"34021","problem_lang":"1","title":"[T] The scoreboard has been frozen with 121 minutes remaining.","description":"<p>hibye1217 once froze the scoreboard of an internal contest of his university&rsquo;s algorithm club in $29$ minutes. The contest was $150$ minutes long.<\/p>\r\n\r\n<p>Now an organizer for his club, hibye1217 is worried about the scoreboard being frozen so early again, and decided to write a program which automatically makes an announcement when the scoreboard is frozen.<\/p>\r\n\r\n<p>The duration of the next internal contest is $M$ minutes, and the scoreboard is to be frozen if one or more of the following conditions are satisfied.<\/p>\r\n\r\n<ul>\r\n\t<li>There are $L$ minutes remaining until the contest is finished.<\/li>\r\n\t<li>There is a contestant who has solved all contest problems except one.<\/li>\r\n<\/ul>\r\n\r\n<p>Based on the data he has collected about the $N$ contestants of the next internal contest, hibye1217 expects that it is going to take $S_i$ minutes for the $i$-th contestant to solve all problems except one. However, if he believes that the contestant cannot solve all problems except one within contest time, $S_i=-1$. Write the announcement message based on this data.<\/p>\r\n","input":"<p>The first line of input contains $T$, denoting the number of testcases. $(1\\le T\\le 100)$<\/p>\r\n\r\n<p>For each testcase, the first line of input contains three space-separated integers $N$, $M$, and $L$ as explained in the problem statement. $(1\\le N\\le 1000;$ $1\\le L\\le M\\le 1440)$<\/p>\r\n\r\n<p>The second line contains $N$ integers $S_1,S_2,\\ldots ,S_N$ as explained in the problem statement. $(-1\\le S_i\\le M)$<\/p>\r\n","output":"<p>For each testcase, if the scoreboard is frozen with $X$ minutes remaining, print <span style=\"color:#e74c3c;\"><code>The scoreboard has been frozen with X minutes remaining.<\/code><\/span> in a single line. However, if $X=1$, print <span style=\"color:#e74c3c;\"><code>minute<\/code><\/span> instead of <span style=\"color:#e74c3c;\"><code>minutes<\/code><\/span>.<\/p>\r\n","hint":"<p>For those who are curious, below is a picture of the scoreboard taken during the internal contest.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/36d0c50c-7c57-44c2-8bef-3daabec3b269\/-\/preview\/\" style=\"width: 500px; max-width: 100%;\" \/><\/p>\r\n\r\n<p>As a sidenote, hibye1217 could not solve problem E in the remaining 2 hours, and ended up not winning an award.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English"}]