문제
유민이의 쿠키 공장에 $N$개의 회사로부터 수주가 들어왔다. $i$번째 회사에는 총 $c_i$박스의 쿠키를 공급해야 하며, $s_i$일차부터 쿠키 납품을 시작할 수 있다.
공장에서는 $x$일차에 다음 두 행동 중 하나를 선택한다.
$s_i\leq x$를 만족하는 $i$를 선택한 후, 1ドル$박스의 쿠키를 만들어서 $i$번째 회사에 공급한다.
쿠키고 뭐고 사내 리듬게임 대회나 개최한다.
쿠키를 미리 만들어서 다른 날에 공급할 수 없고, 만든 쿠키는 반드시 당일 에 공급해야 함에 유의하라. 모든 회사에 쿠키 납품을 완료하기 위해 마지막으로 쿠키를 만드는 것은 최소 몇 일차가 되는지를 계산해 주자.
또한, 쿠키 산업은 워낙 한 치 앞도 내다볼 수 없기 때문에 $Q$건의 수주 조건 수정 요청이 들어왔다. $j$번째 수정 요청에서는 $q_j$번째 회사에 공급할 쿠키를 $c'_j$박스로, 공급 시작 일차를 $s'_j$일차로 수정한다. 각 수정 요청은 이후의 수정 요청들을 처리할 때도 초기화되지 않고 영향을 미침 에 유의하라. 시작 상태와 각 수정 요청 이후 에 대해 문제를 해결해 보자.
출력
첫 번째 줄에 시작 상태 에서의 문제의 정답을 출력한다.
다음 $Q$개의 줄 중 $j$번째 줄에 $j$번째 수정 요청을 처리한 후의 문제의 정답을 출력한다.
제한
1ドル\leq N,Q\leq 2\times 10^5$
1ドル\leq q_j\leq N$
1ドル\leq c_i,s_i,c'_j,s'_j\leq 10^9$
서브태스크 번호 배점 제한 1 7 $N, Q \leq 2500$
2 54 $s_i$는 수정되지 않음. 즉, 항상 $s_i = s'_{q_j}$
3 39 추가 제약 조건 없음
예제 출력 2
복사
118
20
16
14
21
20
노트
수정 요청 전후의 상태가 같을 수도 있음에 유의하라. 즉, $c'_j=c_{q_j};$ $s'_j=s_{q_j}$일 수도 있다.
[{"problem_id":"33490","problem_lang":"0","title":"\ucfe0\ud0a4 \uacf5\uc7a5","description":"<p>\uc720\ubbfc\uc774\uc758 \ucfe0\ud0a4 \uacf5\uc7a5\uc5d0 $N$\uac1c\uc758 \ud68c\uc0ac\ub85c\ubd80\ud130 \uc218\uc8fc\uac00 \ub4e4\uc5b4\uc654\ub2e4. $i$\ubc88\uc9f8 \ud68c\uc0ac\uc5d0\ub294 \ucd1d $c_i$\ubc15\uc2a4\uc758 \ucfe0\ud0a4\ub97c \uacf5\uae09\ud574\uc57c \ud558\uba70, $s_i$\uc77c\ucc28\ubd80\ud130 \ucfe0\ud0a4 \ub0a9\ud488\uc744 \uc2dc\uc791\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uacf5\uc7a5\uc5d0\uc11c\ub294 $x$\uc77c\ucc28\uc5d0 \ub2e4\uc74c \ub450 \ud589\ub3d9 \uc911 \ud558\ub098\ub97c \uc120\ud0dd\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$s_i\\leq x$\ub97c \ub9cc\uc871\ud558\ub294 $i$\ub97c \uc120\ud0dd\ud55c \ud6c4, $1$\ubc15\uc2a4\uc758 \ucfe0\ud0a4\ub97c \ub9cc\ub4e4\uc5b4\uc11c $i$\ubc88\uc9f8 \ud68c\uc0ac\uc5d0 \uacf5\uae09\ud55c\ub2e4.<\/li>\r\n\t<li>\ucfe0\ud0a4\uace0 \ubb50\uace0 \uc0ac\ub0b4 \ub9ac\ub4ec\uac8c\uc784 \ub300\ud68c\ub098 \uac1c\ucd5c\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ucfe0\ud0a4\ub97c \ubbf8\ub9ac \ub9cc\ub4e4\uc5b4\uc11c \ub2e4\ub978 \ub0a0\uc5d0 \uacf5\uae09\ud560 \uc218 \uc5c6\uace0, \ub9cc\ub4e0 \ucfe0\ud0a4\ub294 \ubc18\ub4dc\uc2dc <strong>\ub2f9\uc77c<\/strong>\uc5d0 \uacf5\uae09\ud574\uc57c \ud568\uc5d0 \uc720\uc758\ud558\ub77c. \ubaa8\ub4e0 \ud68c\uc0ac\uc5d0 \ucfe0\ud0a4 \ub0a9\ud488\uc744 \uc644\ub8cc\ud558\uae30 \uc704\ud574 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \ucfe0\ud0a4\ub97c \ub9cc\ub4dc\ub294 \uac83\uc740 \ucd5c\uc18c \uba87 \uc77c\ucc28\uac00 \ub418\ub294\uc9c0\ub97c \uacc4\uc0b0\ud574 \uc8fc\uc790.<\/p>\r\n\r\n<p>\ub610\ud55c, \ucfe0\ud0a4 \uc0b0\uc5c5\uc740 \uc6cc\ub099 \ud55c \uce58 \uc55e\ub3c4 \ub0b4\ub2e4\ubcfc \uc218 \uc5c6\uae30 \ub54c\ubb38\uc5d0 $Q$\uac74\uc758 \uc218\uc8fc \uc870\uac74 \uc218\uc815 \uc694\uccad\uc774 \ub4e4\uc5b4\uc654\ub2e4. $j$\ubc88\uc9f8 \uc218\uc815 \uc694\uccad\uc5d0\uc11c\ub294 $q_j$\ubc88\uc9f8 \ud68c\uc0ac\uc5d0 \uacf5\uae09\ud560 \ucfe0\ud0a4\ub97c $c&#39;_j$\ubc15\uc2a4\ub85c, \uacf5\uae09 \uc2dc\uc791 \uc77c\ucc28\ub97c $s&#39;_j$\uc77c\ucc28\ub85c \uc218\uc815\ud55c\ub2e4. \uac01 \uc218\uc815 \uc694\uccad\uc740 \uc774\ud6c4\uc758 \uc218\uc815 \uc694\uccad\ub4e4\uc744 \ucc98\ub9ac\ud560 \ub54c\ub3c4 \ucd08\uae30\ud654\ub418\uc9c0 \uc54a\uace0 <strong>\uc601\ud5a5\uc744 \ubbf8\uce68<\/strong>\uc5d0 \uc720\uc758\ud558\ub77c. <strong>\uc2dc\uc791 \uc0c1\ud0dc\uc640 \uac01 \uc218\uc815 \uc694\uccad \uc774\ud6c4<\/strong>\uc5d0 \ub300\ud574 \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc815\uc218 $N$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c $N$\uac1c\uc758 \uc904 \uc911 $i$\ubc88\uc9f8 \uc904\uc5d0 \ub450 \uac1c\uc758 \uc815\uc218 $c_i$, $s_i$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0 \uc815\uc218 $Q$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c $Q$\uac1c\uc758 \uc904 \uc911 $j$\ubc88\uc9f8 \uc904\uc5d0 \uc138 \uac1c\uc758 \uc815\uc218 $q_j$, $c&#39;_j$, $s&#39;_j$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 <strong>\uc2dc\uc791 \uc0c1\ud0dc<\/strong>\uc5d0\uc11c\uc758 \ubb38\uc81c\uc758 \uc815\ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c $Q$\uac1c\uc758 \uc904 \uc911 $j$\ubc88\uc9f8 \uc904\uc5d0 $j$\ubc88\uc9f8 \uc218\uc815 \uc694\uccad\uc744 \ucc98\ub9ac\ud55c \ud6c4\uc758 \ubb38\uc81c\uc758 \uc815\ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc218\uc815 \uc694\uccad \uc804\ud6c4\uc758 \uc0c1\ud0dc\uac00 \uac19\uc744 \uc218\ub3c4 \uc788\uc74c\uc5d0 \uc720\uc758\ud558\ub77c. \uc989, $c&#39;_j=c_{q_j};$ $s&#39;_j=s_{q_j}$\uc77c \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1\\leq N,Q\\leq 2\\times 10^5$<\/li>\r\n\t<li>$1\\leq q_j\\leq N$<\/li>\r\n\t<li>$1\\leq c_i,s_i,c&#39;_j,s&#39;_j\\leq 10^9$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N, Q \\leq 2500$<\/p>\r\n","subtask2":"<p>$s_i$\ub294 \uc218\uc815\ub418\uc9c0 \uc54a\uc74c. \uc989, \ud56d\uc0c1 $s_i = s&#39;_{q_j}$<\/p>\r\n","subtask3":"<p>\ucd94\uac00 \uc81c\uc57d \uc870\uac74 \uc5c6\uc74c<\/p>\r\n"},{"problem_id":"33490","problem_lang":"1","title":"Cookie Factory","description":"<p>Yumin&rsquo;s cookie factory has received orders from $N$ companies. The $i$-th company requires a total of $c_i$ boxes of cookies, and the factory can start supplying them from day $s_i$ onwards.<\/p>\r\n\r\n<p>Each day $x$, the factory must choose one of the following two actions:<\/p>\r\n\r\n<ol>\r\n\t<li>Select an index $i$ such that $s_i\\leq x$, produce one box of cookies, and deliver it to the $i$-th company.<\/li>\r\n\t<li>Forget about cookies altogether and hold an in-house rhythm game competition.<\/li>\r\n<\/ol>\r\n\r\n<p>Note that cookies cannot be produced in advance for future deliveries; all cookies produced must be delivered on <strong>the same day<\/strong>. Your task is to calculate the minimum possible last day on which cookie production must take place to fulfill all orders.<\/p>\r\n\r\n<p>Furthermore, since the cookie industry is highly unpredictable, there are $Q$ modification requests regarding the order conditions. The $j$-th modification request updates the order of the $q_j$-th company, changing its required number of cookie boxes to $c&#39;_j$ and its starting delivery day to $s&#39;_j$. Note that these modifications <strong>persist<\/strong> through subsequent requests rather than resetting the order conditions each time. Solve the problem for both <strong>the initial state and after each modification request<\/strong>.<\/p>\r\n","input":"<p>The first line contains an integer $N$.<\/p>\r\n\r\n<p>The $i$-th line of the following $N$ lines contains two space-separated integers $c_i$ and $s_i$.<\/p>\r\n\r\n<p>The next line contains an integer $Q$.<\/p>\r\n\r\n<p>The $j$-th line of the following $Q$ lines contains three space-separated integers $q_j$, $c&#39;_j$, and $s&#39;_j$.<\/p>\r\n","output":"<p>On the first line, print the answer for the <strong>initial state<\/strong>.<\/p>\r\n\r\n<p>On the $j$-th line of the following $Q$ lines, print the answer after $j$-th modification request.<\/p>\r\n","hint":"<p>Note that it is&nbsp;possible that the state before and after a modification request be the same. In other words,&nbsp;$c&#39;_j=c_{q_j};$&nbsp;$s&#39;_j=s_{q_j}$ can hold.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1\\leq N,Q\\leq 2\\times 10^5$<\/li>\r\n\t<li>$1\\leq q_j\\leq N$<\/li>\r\n\t<li>$1\\leq c_i,s_i,c&#39;_j,s&#39;_j\\leq 10^9$<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$N, Q \\leq 2500$<\/p>\r\n","subtask2":"<p>$s&#39;_j$ is not modified. In other words,&nbsp;$s&#39;_j&nbsp;= s_{q_j}$.<\/p>\r\n","subtask3":"<p>No additional constraints<\/p>\r\n"}]