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문제

상근이는 "얼음을 꿈꾸다" 여행사의 사장이다. 이 여행사는 남극 근처의 섬 N개를 구매해 당일치기 여행을 제공하고 있다. 관광객들에게 가장 인기 있는 동물은 황제 펭귄으로 섬에서 쉽게 찾을 수 있다.

여행사는 점점 인기를 얻게 되었고, 이제 보트를 이용하는 것이 효율적이지 않은 상황까지 이르렀다. 상근이는 섬 사이에 다리를 건설해 관광객을 버스로 이동시키려고 한다. 상근이는 컴퓨터 프로그램을 이용해서 다리를 건설하는 과정을 관리하려고 한다.

섬은 1번부터 N번까지 번호가 매겨져 있다. 가장 처음에는 아무 다리도 없으며, 각 섬에 펭귄이 몇 마리 살고있는지는 모두 알고있다. 펭귄의 수는 변할 수 있다. 하지만, 항상 0보다 크거나 같고, 1000보다 작거나 같다.

상근이의 프로그램은 다음과 같은 세 가지 명령을 수행할 수 있어야 한다.

  • "bridge A B" - 섬 A와 B사이에 다리를 건설하는 명령이다. (A와 B는 다르다) 이전까지 지어진 다리를 이용해서 이동할 수 없는 경우에만 다리를 지어야 한다. 다리를 지어야 하면 "yes", 지을 필요가 없이 이미 이동할 수 있으면 "no"를 출력한다.
  • "penguins A X" - 섬 A에 살고있는 펭귄의 수를 다시 세보니 X마리가 되었다는 명령이다. 아무것도 출력할 필요가 없다.
  • "excursion A B" - 관광객들이 섬 A에서 시작해 B에서 끝나는 여행 경로를 이용하는 명령이다. A에서 B로 갈 수 있는 경우에는 이동하는 섬에 있는 모든 펭귄의 수를 구해 출력한다. (A와 B 포함) 이동할 수 없는 경우에는 "impossible"를 출력한다.

상근이의 프로그램을 작성하시오.

입력

첫째 줄에 섬의 수 N (1 ≤ N ≤ 30,000)이 주어진다.

둘째 줄에는 각 섬에 있는 펭귄의 수가 주어진다.

셋째 줄에는 명령의 개수 Q (1 ≤ Q ≤ 300,000)가 주어진다.

다음 Q개 줄에는 문제에서 주어진 명령 중 하나가 주어진다.

출력

"bridge"나 "excursion" 명령이 주어질 때 마다 출력한다.

예제 입력 1

5
4 2 4 5 6
10
excursion 1 1
excursion 1 2
bridge 1 2
excursion 1 2
bridge 3 4
bridge 3 5
excursion 4 5
bridge 1 3
excursion 2 4
excursion 2 5

예제 출력 1

4
impossible
yes
6
yes
yes
15
yes
15
16

예제 입력 2

6
1 2 3 4 5 6
10
bridge 1 2
bridge 2 3
bridge 4 5
excursion 1 3
excursion 1 5
bridge 3 4
excursion 1 5
penguins 3 10
excursion 1 3
bridge 1 5

예제 출력 2

yes
yes
yes
6
impossible
yes
15
13
no
[{"problem_id":"2927","problem_lang":"0","title":"\ub0a8\uadf9 \ud0d0\ud5d8","description":"<p>\uc0c1\uadfc\uc774\ub294 &quot;\uc5bc\uc74c\uc744 \uafc8\uafb8\ub2e4&quot; \uc5ec\ud589\uc0ac\uc758 \uc0ac\uc7a5\uc774\ub2e4. \uc774 \uc5ec\ud589\uc0ac\ub294 \ub0a8\uadf9 \uadfc\ucc98\uc758 \uc12c N\uac1c\ub97c \uad6c\ub9e4\ud574 \ub2f9\uc77c\uce58\uae30 \uc5ec\ud589\uc744 \uc81c\uacf5\ud558\uace0 \uc788\ub2e4. \uad00\uad11\uac1d\ub4e4\uc5d0\uac8c \uac00\uc7a5 \uc778\uae30 \uc788\ub294 \ub3d9\ubb3c\uc740 \ud669\uc81c \ud3ad\uadc4\uc73c\ub85c \uc12c\uc5d0\uc11c \uc27d\uac8c \ucc3e\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc5ec\ud589\uc0ac\ub294 \uc810\uc810 \uc778\uae30\ub97c \uc5bb\uac8c \ub418\uc5c8\uace0, \uc774\uc81c \ubcf4\ud2b8\ub97c \uc774\uc6a9\ud558\ub294 \uac83\uc774 \ud6a8\uc728\uc801\uc774\uc9c0 \uc54a\uc740 \uc0c1\ud669\uae4c\uc9c0 \uc774\ub974\ub800\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc12c \uc0ac\uc774\uc5d0 \ub2e4\ub9ac\ub97c \uac74\uc124\ud574 \uad00\uad11\uac1d\uc744 \ubc84\uc2a4\ub85c \uc774\ub3d9\uc2dc\ud0a4\ub824\uace0 \ud55c\ub2e4. \uc0c1\uadfc\uc774\ub294 \ucef4\ud4e8\ud130 \ud504\ub85c\uadf8\ub7a8\uc744 \uc774\uc6a9\ud574\uc11c \ub2e4\ub9ac\ub97c \uac74\uc124\ud558\ub294 \uacfc\uc815\uc744 \uad00\ub9ac\ud558\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc12c\uc740 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uac00\uc7a5 \ucc98\uc74c\uc5d0\ub294 \uc544\ubb34 \ub2e4\ub9ac\ub3c4 \uc5c6\uc73c\uba70, \uac01 \uc12c\uc5d0 \ud3ad\uadc4\uc774 \uba87 \ub9c8\ub9ac \uc0b4\uace0\uc788\ub294\uc9c0\ub294 \ubaa8\ub450 \uc54c\uace0\uc788\ub2e4. \ud3ad\uadc4\uc758 \uc218\ub294 \ubcc0\ud560 \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \ud56d\uc0c1 0\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0, 1000\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \uc138 \uac00\uc9c0 \uba85\ub839\uc744 \uc218\ud589\ud560 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>&quot;bridge A B&quot; - \uc12c A\uc640 B\uc0ac\uc774\uc5d0 \ub2e4\ub9ac\ub97c \uac74\uc124\ud558\ub294 \uba85\ub839\uc774\ub2e4. (A\uc640 B\ub294 \ub2e4\ub974\ub2e4) \uc774\uc804\uae4c\uc9c0 \uc9c0\uc5b4\uc9c4 \ub2e4\ub9ac\ub97c \uc774\uc6a9\ud574\uc11c \uc774\ub3d9\ud560 \uc218 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub9cc \ub2e4\ub9ac\ub97c \uc9c0\uc5b4\uc57c \ud55c\ub2e4. \ub2e4\ub9ac\ub97c \uc9c0\uc5b4\uc57c \ud558\uba74 &quot;yes&quot;, \uc9c0\uc744 \ud544\uc694\uac00 \uc5c6\uc774 \uc774\ubbf8 \uc774\ub3d9\ud560 \uc218 \uc788\uc73c\uba74 &quot;no&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/li>\r\n\t<li>&quot;penguins A X&quot; - \uc12c A\uc5d0 \uc0b4\uace0\uc788\ub294 \ud3ad\uadc4\uc758 \uc218\ub97c \ub2e4\uc2dc \uc138\ubcf4\ub2c8 X\ub9c8\ub9ac\uac00 \ub418\uc5c8\ub2e4\ub294 \uba85\ub839\uc774\ub2e4. \uc544\ubb34\uac83\ub3c4 \ucd9c\ub825\ud560 \ud544\uc694\uac00 \uc5c6\ub2e4.<\/li>\r\n\t<li>&quot;excursion A B&quot; - \uad00\uad11\uac1d\ub4e4\uc774 \uc12c A\uc5d0\uc11c \uc2dc\uc791\ud574 B\uc5d0\uc11c \ub05d\ub098\ub294 \uc5ec\ud589 \uacbd\ub85c\ub97c \uc774\uc6a9\ud558\ub294 \uba85\ub839\uc774\ub2e4. A\uc5d0\uc11c B\ub85c \uac08 \uc218 \uc788\ub294 \uacbd\uc6b0\uc5d0\ub294 \uc774\ub3d9\ud558\ub294 \uc12c\uc5d0 \uc788\ub294 \ubaa8\ub4e0 \ud3ad\uadc4\uc758 \uc218\ub97c \uad6c\ud574 \ucd9c\ub825\ud55c\ub2e4. (A\uc640 B \ud3ec\ud568) \uc774\ub3d9\ud560 \uc218 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 &quot;impossible&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc0c1\uadfc\uc774\uc758 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc12c\uc758 \uc218 N (1 &le; N &le; 30,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \uac01 \uc12c\uc5d0 \uc788\ub294 \ud3ad\uadc4\uc758 \uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\uc5d0\ub294 \uba85\ub839\uc758 \uac1c\uc218 Q (1 &le; Q &le; 300,000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c Q\uac1c \uc904\uc5d0\ub294 \ubb38\uc81c\uc5d0\uc11c \uc8fc\uc5b4\uc9c4 \uba85\ub839 \uc911 \ud558\ub098\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>&quot;bridge&quot;\ub098 &quot;excursion&quot; \uba85\ub839\uc774 \uc8fc\uc5b4\uc9c8 \ub54c \ub9c8\ub2e4 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2927","problem_lang":"1","title":"OTOCI","description":"<p>Some time ago Mirko founded a new tourist agency named &quot;Dreams of Ice&quot;. The agency purchased N icy islands near the South Pole and now offers excursions. Especially popular are the emperor penguins, which can be found in large numbers on the islands.&nbsp;<\/p>\r\n\r\n<p>Mirko&#39;s agency has become a huge hit; so big that it is no longer cost-effective to use boats for the excursions. The agency will build bridges between islands and transport tourists by buses. Mirko wants to introduce a computer program to manage the bridge building process so that fewer mistakes are made.&nbsp;<\/p>\r\n\r\n<p>The islands are numbered 1 through N. No two islands are initially connected by bridges. The initial number of penguins on each island is known. That number may change, but will always be between 0 and 1000 (inclusive).&nbsp;<\/p>\r\n\r\n<p>Your program must handle the following three types of commands:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>&quot;bridge A B&quot; &ndash; an offer was received to build a bridge between islands A and B (A and B will be different). To limit costs, your program must accept the offer only if there isn&#39;t already a way to get from one island to the other using previously built bridges. If the offer is accepted, the program should output &quot;yes&quot;, after which the bridge is built. If the offer is rejected, the program should output &quot;no&quot;.&nbsp;<\/li>\r\n\t<li>&quot;penguins A X&quot; &ndash; the penguins on island A have been recounted and there are now X of them. This is an informative command and your program does not need to respond.&nbsp;<\/li>\r\n\t<li>&quot;excursion A B&quot; &ndash; a group of tourists wants an excursion from island A to island B. If the excursion is possible (it is possible to get from island A to B), the program should output the total number of penguins the tourists would see on the excursion (including islands A and B). Otherwise, your program should output &quot;impossible&quot;.&nbsp;<\/li>\r\n<\/ul>\r\n","input":"<p>The first line contains the integer N (1 &le; N &le; 30 000), the number of islands.&nbsp;<\/p>\r\n\r\n<p>The second line contains N integers between 0 and 1000, the initial number of penguins on each of the islands.&nbsp;<\/p>\r\n\r\n<p>The third line contains an integer Q (1 &le; Q &le; 300 000), the number of commands.&nbsp;<\/p>\r\n\r\n<p>Q commands follow, each on its own line. As noted above, after receiving a command &quot;bridge&quot; or &quot;excursion&quot;, your program will not receive another command until it has responded to the previous one.<\/p>\r\n","output":"<p>Output the responses to commands &quot;bridge&quot; and &quot;excursion&quot;, each on its own line.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Croatian Highschool Competitions in Informatics > 2009 > Croatian Olympiad in Informatics 2009 2번 (수정)

  • 문제를 번역한 사람: baekjoon
  • 데이터를 추가한 사람: slah007