문제
다들 알고 있다시피, hibye1217은 포드코스에서 Grandmaster의 등급을 가지고 있다. 이를 기념할 겸 과거를 돌아보던 hibye1217은 문득 아래와 같은 궁금증을 가지게 되었다.
'만약 일부 대회를 계산에서 제외할 수 있다면 얼마나 더 높은 레이팅을 받을 수 있을까?'
포드코스의 레이팅의 계산 방식은 다음과 같다.
- 유저의 레이팅은 0ドル$에서 시작한다.
- 포드코스의 각 대회에는 레이팅 상수라는 두 정수 $a,ドル $b$가 존재한다. 이는 각 대회가 유저의 레이팅에 얼마나 큰 영향을 끼치는지를 의미한다. 레이팅 상수는 대회마다 다를 수 있다.
- 유저가 대회를 치기 전의 레이팅이 정수 $r$이었고, 대회에서의 퍼포먼스가 정수 $p$였다고 하자. 그러면 유저의 새로운 레이팅은 $\displaystyle \frac{ap+br}{a+b}$이 된다.
- 만약 새로운 레이팅이 정수가 아니라면, 소수점 아랫부분이 0ドル.5$ 미만이라면 내림하고 0ドル.5$ 이상이라면 올림한다.
포드코스의 Grandmaster인 hibye1217은 $N$개의 대회 중 0ドル$개 이상의 대회를 계산에서 제외하는 경우의 수는 2ドル^N$가지 경우나 있으니 쉽게 풀 수 없다는 결론을 냈다. 이제 포드코스의 Legendary Grandmaster인 여러분들이 이 문제를 효율적으로 풀어 보자!
일부 대회를 계산에서 제외할 수는 있어도 대회 간의 순서를 바꿀 수는 없음에 유의하라.
출력
첫째 줄에 일부 대회를 계산에서 제외할 수 있을 때 hibye1217이 받을 수 있는 레이팅의 최댓값을 출력한다.
4ドル$개의 대회가 모두 계산에 들어간다면 레이팅이 2ドル,520円$밖에 되지 않지만, 3ドル$번째 대회와 4ドル$번째 대회를 제외하고 계산하면 레이팅이 3ドル,240円$이 된다.
[{"problem_id":"33719","problem_lang":"0","title":"[I] I'm GM!","description":"<p>\ub2e4\ub4e4 \uc54c\uace0 \uc788\ub2e4\uc2dc\ud53c, <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc740 \ud3ec\ub4dc\ucf54\uc2a4\uc5d0\uc11c Grandmaster\uc758 \ub4f1\uae09\uc744 \uac00\uc9c0\uace0 \uc788\ub2e4. \uc774\ub97c \uae30\ub150\ud560 \uacb8 \uacfc\uac70\ub97c \ub3cc\uc544\ubcf4\ub358 <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc740 \ubb38\ub4dd \uc544\ub798\uc640 \uac19\uc740 \uad81\uae08\uc99d\uc744 \uac00\uc9c0\uac8c \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p>&#39;\ub9cc\uc57d \uc77c\ubd80 \ub300\ud68c\ub97c \uacc4\uc0b0\uc5d0\uc11c \uc81c\uc678\ud560 \uc218 \uc788\ub2e4\uba74 \uc5bc\ub9c8\ub098 \ub354 \ub192\uc740 \ub808\uc774\ud305\uc744 \ubc1b\uc744 \uc218 \uc788\uc744\uae4c?&#39;<\/p>\r\n\r\n<p>\ud3ec\ub4dc\ucf54\uc2a4\uc758 \ub808\uc774\ud305\uc758 \uacc4\uc0b0 \ubc29\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc720\uc800\uc758 \ub808\uc774\ud305\uc740 $0$\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4.<\/li>\r\n\t<li>\ud3ec\ub4dc\ucf54\uc2a4\uc758 \uac01 \ub300\ud68c\uc5d0\ub294 \ub808\uc774\ud305 \uc0c1\uc218\ub77c\ub294 \ub450 \uc815\uc218 $a$, $b$\uac00 \uc874\uc7ac\ud55c\ub2e4. \uc774\ub294 \uac01 \ub300\ud68c\uac00 \uc720\uc800\uc758 \ub808\uc774\ud305\uc5d0 \uc5bc\ub9c8\ub098 \ud070 \uc601\ud5a5\uc744 \ub07c\uce58\ub294\uc9c0\ub97c \uc758\ubbf8\ud55c\ub2e4. \ub808\uc774\ud305 \uc0c1\uc218\ub294 \ub300\ud68c\ub9c8\ub2e4 \ub2e4\ub97c \uc218 \uc788\ub2e4.<\/li>\r\n\t<li>\uc720\uc800\uac00 \ub300\ud68c\ub97c \uce58\uae30 \uc804\uc758 \ub808\uc774\ud305\uc774 \uc815\uc218 $r$\uc774\uc5c8\uace0, \ub300\ud68c\uc5d0\uc11c\uc758 \ud37c\ud3ec\uba3c\uc2a4\uac00 \uc815\uc218 $p$\uc600\ub2e4\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 \uc720\uc800\uc758 \uc0c8\ub85c\uc6b4 \ub808\uc774\ud305\uc740 $\\displaystyle \\frac{ap+br}{a+b}$\uc774 \ub41c\ub2e4.<\/li>\r\n\t<li>\ub9cc\uc57d \uc0c8\ub85c\uc6b4 \ub808\uc774\ud305\uc774 \uc815\uc218\uac00 \uc544\ub2c8\ub77c\uba74, \uc18c\uc218\uc810 \uc544\ub7ab\ubd80\ubd84\uc774 $0.5$ \ubbf8\ub9cc\uc774\ub77c\uba74 \ub0b4\ub9bc\ud558\uace0 $0.5$ \uc774\uc0c1\uc774\ub77c\uba74 \uc62c\ub9bc\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ud3ec\ub4dc\ucf54\uc2a4\uc758 Grandmaster\uc778 <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc740 $N$\uac1c\uc758 \ub300\ud68c \uc911 $0$\uac1c \uc774\uc0c1\uc758 \ub300\ud68c\ub97c \uacc4\uc0b0\uc5d0\uc11c \uc81c\uc678\ud558\ub294 \uacbd\uc6b0\uc758 \uc218\ub294 $2^N$\uac00\uc9c0 \uacbd\uc6b0\ub098 \uc788\uc73c\ub2c8 \uc27d\uac8c \ud480 \uc218 \uc5c6\ub2e4\ub294 \uacb0\ub860\uc744 \ub0c8\ub2e4. \uc774\uc81c \ud3ec\ub4dc\ucf54\uc2a4\uc758 Legendary Grandmaster\uc778 <span style=\"color:#000000;\"><strong>\uc5ec<\/strong><\/span><span style=\"color:#FF0000;\"><strong>\ub7ec\ubd84<\/strong><\/span>\ub4e4\uc774 \uc774 \ubb38\uc81c\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \ud480\uc5b4 \ubcf4\uc790!<\/p>\r\n\r\n<p>\uc77c\ubd80 \ub300\ud68c\ub97c \uacc4\uc0b0\uc5d0\uc11c \uc81c\uc678\ud560 \uc218\ub294 \uc788\uc5b4\ub3c4 \ub300\ud68c \uac04\uc758 \uc21c\uc11c\ub97c \ubc14\uafc0 \uc218\ub294 \uc5c6\uc74c\uc5d0 \uc720\uc758\ud558\ub77c.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc774 \ucc38\uc5ec\ud55c \ub300\ud68c\uc758 \uac1c\uc218 $N$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. $(1 \\le N \\le 500\\,000)$<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 $N$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0, $i+1$\ubc88\uc9f8 \uc904\uc5d0\ub294 <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc774 \ucc38\uc5ec\ud55c $i$\ubc88\uc9f8 \ub300\ud68c\uc758 \ub808\uc774\ud305 \uc0c1\uc218\uc778 \ub450 \uc815\uc218 $a$, $b$\uc640 \ub300\ud68c\uc5d0\uc11c\uc758 \ud37c\ud3ec\uba3c\uc2a4\uc778 \uc815\uc218 $p$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(1 \\le a, b \\le 1\\,000; 0 \\le p \\le 4\\,000)$<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc77c\ubd80 \ub300\ud68c\ub97c \uacc4\uc0b0\uc5d0\uc11c \uc81c\uc678\ud560 \uc218 \uc788\uc744 \ub54c <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>\uc774 \ubc1b\uc744 \uc218 \uc788\ub294 \ub808\uc774\ud305\uc758 \ucd5c\ub313\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>$4$\uac1c\uc758 \ub300\ud68c\uac00 \ubaa8\ub450 \uacc4\uc0b0\uc5d0 \ub4e4\uc5b4\uac04\ub2e4\uba74 \ub808\uc774\ud305\uc774 $2\\,520$\ubc16\uc5d0 \ub418\uc9c0 \uc54a\uc9c0\ub9cc, $3$\ubc88\uc9f8 \ub300\ud68c\uc640 $4$\ubc88\uc9f8 \ub300\ud68c\ub97c \uc81c\uc678\ud558\uace0 \uacc4\uc0b0\ud558\uba74 \ub808\uc774\ud305\uc774 $3\\,240$\uc774 \ub41c\ub2e4.<\/p>\r\n"},{"problem_id":"33719","problem_lang":"1","title":"[I] I'm GM!","description":"<p>As you all know <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span> is a Fodecorces Grandmaster. While reviewing his past records in celebration of his achievement, <span style=\"color:#FF0000;\"><strong>hibye1217 <\/strong><\/span>has suddenly become curious about the following.<\/p>\r\n\r\n<p>&lsquo;If I can exclude some contests from the rating calculation, how much higher can my rating go?&rsquo;<\/p>\r\n\r\n<p>Fodecorces ratings are calculated as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>A user&rsquo;s initial rating is $0$.<\/li>\r\n\t<li>Each Fodecorces contest is defined by two integers $a$ and $b$, called rating constants. These values determine how much the contest contributes to a user&rsquo;s rating. The rating constants can vary from contest to contest.<\/li>\r\n\t<li>Let a user&rsquo;s rating before the contest was $r$, and their performance score be $p$. Then, their new rating after the contest is given by $\\frac{ap+br}{a+b}$.<\/li>\r\n\t<li>If the new rating is not an integer, it is rounded down for if the decimal part is less than $0.5$ and rounded up otherwise.<\/li>\r\n<\/ul>\r\n\r\n<p>Fodecorces Grandmaster <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>&nbsp;noted that since there are $2^N$ possible ways to exclude zero or more contests from $N$ contests, so a naive approach would be inefficient. Now, as a Fodecorces Legendary Grandmaster, <span style=\"color:#000000;\"><strong>y<\/strong><\/span><span style=\"color:#FF0000;\"><strong>ou<\/strong><\/span> need to figure out how to solve this problem efficiently!<\/p>\r\n\r\n<p>Note that you may only exclude entire contests from the calculation. You may not change the order in which they occured.<\/p>\r\n","input":"<p>The first line of input contains $N$, denoting the number of contests <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span> participated in. $(1\\le N\\le 500\\, 000)$<\/p>\r\n\r\n<p>Each of the following $N$ lines contains three space-separated integers $a$, $b$ and $p$. For the $i$-th of the $N$ lines, the first two integers denote the rating constants of the $i$-th contest <span style=\"color:#FF0000;\"><strong>hibye1217&nbsp;<\/strong><\/span> has participated in and the third integer denotes his performance score in that contest. $(1\\le a,b\\le 1\\, 000;$ $0\\le p\\le 4\\, 000)$<\/p>\r\n","output":"<p>Print the maximum rating <span style=\"color:#FF0000;\"><strong>hibye1217<\/strong><\/span>&nbsp;can achieve by excluding some&nbsp;(possibly zero) contests from the calculation.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>If all $4$ contests are included in the calculation, the rating is only $2\\,520$. However, calculating the rating after removing the $3$-rd and $4$-th contests makes the rating go up to $3\\,240$.<\/p>\r\n"}]