문제
선아는 최근에 어떤 미생물을 연구하고 있다. 선아는 연구 과정에서 이 미생물 여러 마리를 한 줄로 나열하면 미생물이 한 마리만 남을 때까지 다음 규칙들에 따라 미생물들이 서로 흡수한다는 사실을 알아냈다.
- 하루에 한 번 줄의 맨 앞에 있는 미생물부터 각 미생물은 차례대로 인접한 미생물 중 자신보다 크기가 작거나 같은 것들을 전부 흡수한다. 다른 미생물을 흡수한 경우, 미생물의 크기는 흡수한 미생물의 크기의 합만큼 커진다.
- 흡수당한 미생물은 사라지며 행동할 수 없다. 즉, 3ドル,ドル 2ドル,ドル 1ドル$의 크기를 가지는 세 마리의 미생물들이 있는 경우 2ドル$는 자신의 차례가 오기 전에 3ドル$에게 흡수당하기 때문에 하루가 지난 후 남아있는 미생물들의 크기는 5ドル,ドル 1ドル$이 된다.
- 흡수하는 미생물은 하루에 흡수할 모든 미생물을 한 번에 흡수한다. 즉, 3ドル,ドル 4ドル,ドル 5ドル$의 크기를 가지는 세 마리의 미생물들이 있고 4ドル$의 차례인 경우 4ドル$는 3ドル$만 흡수한다. 4ドル$가 3ドル$을 흡수해서 7ドル$이 된 후 같은 날 5ドル$를 흡수하는 행동은 불가능하다. 따라서 하루가 지난 후 남아있는 미생물들의 크기는 7ドル,ドル 5ドル$가 된다.
선아에게는 이 미생물이 $N$마리 있다. 이 $N$마리의 미생물들이 한 줄로 나열되었을 때 마지막에 남는 미생물의 최종 크기와 초기 위치를 찾는 프로그램을 작성해 보자.
출력
첫 번째 줄에 마지막에 남는 미생물의 최종 크기를 출력한다.
두 번째 줄에 그 미생물의 초기 위치를 출력한다.
[{"problem_id":"30885","problem_lang":"0","title":"\u03a6\u00b2","description":"<p>\uc120\uc544\ub294 \ucd5c\uadfc\uc5d0 \uc5b4\ub5a4 \ubbf8\uc0dd\ubb3c\uc744 \uc5f0\uad6c\ud558\uace0 \uc788\ub2e4. \uc120\uc544\ub294 \uc5f0\uad6c \uacfc\uc815\uc5d0\uc11c \uc774 \ubbf8\uc0dd\ubb3c \uc5ec\ub7ec \ub9c8\ub9ac\ub97c \ud55c \uc904\ub85c \ub098\uc5f4\ud558\uba74 \ubbf8\uc0dd\ubb3c\uc774 <strong>\ud55c \ub9c8\ub9ac\ub9cc \ub0a8\uc744 \ub54c\uae4c\uc9c0<\/strong> \ub2e4\uc74c \uaddc\uce59\ub4e4\uc5d0 \ub530\ub77c \ubbf8\uc0dd\ubb3c\ub4e4\uc774 \uc11c\ub85c \ud761\uc218\ud55c\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uc54c\uc544\ub0c8\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li><strong>\ud558\ub8e8\uc5d0 \ud55c \ubc88<\/strong> \uc904\uc758 \ub9e8 \uc55e\uc5d0 \uc788\ub294 \ubbf8\uc0dd\ubb3c\ubd80\ud130 \uac01 \ubbf8\uc0dd\ubb3c\uc740 <strong>\ucc28\ub840\ub300\ub85c<\/strong> \uc778\uc811\ud55c \ubbf8\uc0dd\ubb3c \uc911 \uc790\uc2e0\ubcf4\ub2e4 \ud06c\uae30\uac00 <strong>\uc791\uac70\ub098 \uac19\uc740<\/strong> \uac83\ub4e4\uc744 \uc804\ubd80 \ud761\uc218\ud55c\ub2e4. \ub2e4\ub978 \ubbf8\uc0dd\ubb3c\uc744 \ud761\uc218\ud55c \uacbd\uc6b0, \ubbf8\uc0dd\ubb3c\uc758 \ud06c\uae30\ub294 \ud761\uc218\ud55c \ubbf8\uc0dd\ubb3c\uc758 \ud06c\uae30\uc758 \ud569\ub9cc\ud07c \ucee4\uc9c4\ub2e4.<\/li>\r\n\t<li>\ud761\uc218\ub2f9\ud55c \ubbf8\uc0dd\ubb3c\uc740 \uc0ac\ub77c\uc9c0\uba70 \ud589\ub3d9\ud560 \uc218 \uc5c6\ub2e4. \uc989, $3$, $2$, $1$\uc758 \ud06c\uae30\ub97c \uac00\uc9c0\ub294 \uc138 \ub9c8\ub9ac\uc758 \ubbf8\uc0dd\ubb3c\ub4e4\uc774 \uc788\ub294 \uacbd\uc6b0 $2$\ub294 \uc790\uc2e0\uc758 \ucc28\ub840\uac00 \uc624\uae30 \uc804\uc5d0 $3$\uc5d0\uac8c \ud761\uc218\ub2f9\ud558\uae30 \ub54c\ubb38\uc5d0 \ud558\ub8e8\uac00 \uc9c0\ub09c \ud6c4 \ub0a8\uc544\uc788\ub294 \ubbf8\uc0dd\ubb3c\ub4e4\uc758 \ud06c\uae30\ub294 $5$, $1$\uc774 \ub41c\ub2e4. <\/li>\r\n\t<li>\ud761\uc218\ud558\ub294 \ubbf8\uc0dd\ubb3c\uc740 \ud558\ub8e8\uc5d0 \ud761\uc218\ud560 \ubaa8\ub4e0 \ubbf8\uc0dd\ubb3c\uc744 \ud55c \ubc88\uc5d0 \ud761\uc218\ud55c\ub2e4. \uc989, $3$, $4$, $5$\uc758 \ud06c\uae30\ub97c \uac00\uc9c0\ub294 \uc138 \ub9c8\ub9ac\uc758 \ubbf8\uc0dd\ubb3c\ub4e4\uc774 \uc788\uace0 $4$\uc758 \ucc28\ub840\uc778 \uacbd\uc6b0 $4$\ub294 $3$\ub9cc \ud761\uc218\ud55c\ub2e4. $4$\uac00 $3$\uc744 \ud761\uc218\ud574\uc11c $7$\uc774 \ub41c \ud6c4 \uac19\uc740 \ub0a0 $5$\ub97c \ud761\uc218\ud558\ub294 \ud589\ub3d9\uc740 \ubd88\uac00\ub2a5\ud558\ub2e4. \ub530\ub77c\uc11c \ud558\ub8e8\uac00 \uc9c0\ub09c \ud6c4 \ub0a8\uc544\uc788\ub294 \ubbf8\uc0dd\ubb3c\ub4e4\uc758 \ud06c\uae30\ub294 $7$, $5$\uac00 \ub41c\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uc120\uc544\uc5d0\uac8c\ub294 \uc774 \ubbf8\uc0dd\ubb3c\uc774 $N$\ub9c8\ub9ac \uc788\ub2e4. \uc774 $N$\ub9c8\ub9ac\uc758 \ubbf8\uc0dd\ubb3c\ub4e4\uc774 \ud55c \uc904\ub85c \ub098\uc5f4\ub418\uc5c8\uc744 \ub54c \ub9c8\uc9c0\ub9c9\uc5d0 \ub0a8\ub294 \ubbf8\uc0dd\ubb3c\uc758 \ucd5c\uc885 \ud06c\uae30\uc640 \ucd08\uae30 \uc704\uce58\ub97c \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574 \ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ubbf8\uc0dd\ubb3c\ub4e4\uc758 \uc218 $N$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le N\\le 500\\, 000)$<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \ubbf8\uc0dd\ubb3c\ub4e4\uc758 \ucd08\uae30 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b4\ub294 $N$\uac1c\uc758 \uc815\uc218  $a_1,a_2,\\ldots ,a_N$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $a_i$\ub294 $i$\ubc88\uc9f8 \ubbf8\uc0dd\ubb3c\uc758 \ucd08\uae30 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uac01 \ubbf8\uc0dd\ubb3c\uc758 \ucd08\uae30 \ud06c\uae30\ub294 $1$ \uc774\uc0c1 $N$ \uc774\ud558\uc758 \uc815\uc218\uc774\ub2e4. \ub610\ud55c \uac19\uc740 \ucd08\uae30 \ud06c\uae30\ub97c \uac00\uc9c0\ub294 \ub450 \ubbf8\uc0dd\ubb3c\uc740 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4. <\/p>\r\n","output":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ub9c8\uc9c0\ub9c9\uc5d0 \ub0a8\ub294 \ubbf8\uc0dd\ubb3c\uc758 \ucd5c\uc885 \ud06c\uae30\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \uadf8 \ubbf8\uc0dd\ubb3c\uc758 \ucd08\uae30 \uc704\uce58\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"30885","problem_lang":"1","title":"\u03a6\u00b2","description":"<p>Seonah has recently started researching certain microorganisms. During her research, she discovered that if you line up several of these microorganisms, they absorb each other <strong>until there is only one remaining<\/strong>, according to the following rules.<\/p>\r\n\r\n<ol>\r\n\t<li><strong>Once a day<\/strong>, starting from the microorganism at the front of the line <strong>in the order they are standing<\/strong>, each microorganism absorbs all adjacent microorganisms that are <strong>smaller than or equal in size to itself<\/strong>. The microorganism&#39;s size&nbsp;increases&nbsp;by the sum of the sizes of the microorganisms absorbed.<\/li>\r\n\t<li>Absorbed microorganisms disappear and cannot act. For example, in the case where there are three microorganisms with sizes $3$, $2$, and $1$, respectively, $2$ is absorbed by $3$ before its turn arrives and cannot act. The sizes of the remaining microorganisms after one day are, therefore, $5$ and $1$.<\/li>\r\n\t<li>The absorbing microorganism absorbs all the microorganisms it is to absorb in a day at once. For example, let&rsquo;s assume the case where there are three microorganisms with sizes $3$, $4$, and $5$, respectively. When it is $4$&rsquo;s turn, $4$ only absorbs $3$. After $4$ absorbs $3$ (thus becoming $7$), it cannot absorb $5$ afterward on the same day. The sizes of the remaining microorganisms after one day are, therefore, $7$ and $5$.<\/li>\r\n<\/ol>\r\n\r\n<p>Seonah has $N$ of this microorganism. Given the initial sizes and positions of these $N$ microorganisms, write a program that finds the final size and initial position of the last microorganism remaining.<\/p>\r\n","input":"<p>The first line of input contains a single integer $N$. $(1\\le N\\le 500\\, 000)$<\/p>\r\n\r\n<p>The second line of input contains $N$ space-separated integers $a_1,a_2,\\ldots ,a_N$. $a_i$ denotes the initial size of the $i$-th microorganism. The size of each microorganism is between $1$ and $N$ inclusive. No two microorganisms have the same initial size.<\/p>\r\n","output":"<p>The first line of output should contain the final size of the last microorganism remaining.<\/p>\r\n\r\n<p>The second line should contain the initial position of the microorganism.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]