시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 165 28 23 18.110%

문제

옛날 옛날에, 예쁜 몰다비아의 지역에 1부터 N까지 고유한 번호가 붙여진  N개의 중세 도시가 있었다. 번호 1이 붙여진 도시는 수도이다. 도시들은 N-1개의 양방향 도로로 연결되어 있으며, 각 도로는 킬로미터로 표현된 길이를 가지고 있다.

도시를 두 번 거치지 않고 도시의 쌍을 순회하는 방법은 유일하다.(i.e. 도로의 그래프가 트리 형태일때)

도시가 공격당했을 때, 최대한 빠른 시간 내에 이 사실을 수도에 보고해야한다. 각 도시에 살고있는 전령들이 이 메세지를 전달한다. 각각의 전령들은 여정을 시작하기 위해 필요한 시간과 고유의 속력(킬로미터당 분으로 표현된, min/km)으로 표현된다.

도시에서 출발한 메세지는 수도까지 유일한 가장 짧은 경로를 통해서 전달된다. 처음에는 공격당한 도시의 전령이 메세지를 전달한다. 그 전령이 순회하는 다른 도시에서 전령은 두 가지 선택을 할 수 있다. 수도로 가기 위해 다음 도시를 가거나, 그 도시의 전령에게 메세지를 남길 수 있다. 새로운 전령은 위와 같은 방식을 따른다. 종합해보면, 메세지는 수도까지 전달되는 동안 여러 전령을 거칠 수 있다. 

이때, 각 도시에서 수도까지 메세지를 전하는데  걸리는 최소 시간을 구하여라.

입력

첫 째줄엔, 몰다비아의 도시의 개수 N이 주어진다.

다음 줄부터 N-1개의 줄에 공백으로 구분된 세개의 정수 U, V, D가 주어진다. 이는 도시 U와 도시 V 사이에 D 킬로미터의 도로가 있음을 의미한다. 

그 아래에, 한 줄에 하나 씩 N-1개의 정수 쌍이 주어진다. i번째 쌍인 Si, Vi는 (i+1)번째 도시의 전령을 표현하는 수이다. Si는 여정을 준비하는데 걸리는 시간, Vi는 1km를 가는데 걸리는 시간(분)이다. 수도에는 전령이 없다.

  • 3 ≤ N ≤ 100,000
  • 0 ≤ Si ≤ 109
  • 1 ≤ V≤ 109
  • 각 도로의 길이는 10,000을 넘지 않는다.

출력

표준 출력은 하나의 줄에 N-1개의 정수를 포함해야한다. i번째 숫자는 (i+1)번째 도시에서 수도로 메세지를 보내는데 필요한 최소 시간(분)을 나타낸다.

예제 입력 1

5
1 2 20
2 3 12
2 4 1
4 5 3
26 9
1 10
500 2
2 30

예제 출력 1

206 321 542 328
[{"problem_id":"3319","problem_lang":"0","title":"\uc804\ub839\ub4e4","description":"<p>\uc61b\ub0a0 \uc61b\ub0a0\uc5d0,&nbsp;\uc608\uc05c \ubab0\ub2e4\ube44\uc544\uc758 \uc9c0\uc5ed\uc5d0&nbsp;1\ubd80\ud130 N\uae4c\uc9c0 \uace0\uc720\ud55c \ubc88\ud638\uac00 \ubd99\uc5ec\uc9c4&nbsp;&nbsp;N\uac1c\uc758 \uc911\uc138 \ub3c4\uc2dc\uac00 \uc788\uc5c8\ub2e4. \ubc88\ud638 1\uc774 \ubd99\uc5ec\uc9c4 \ub3c4\uc2dc\ub294 \uc218\ub3c4\uc774\ub2e4. \ub3c4\uc2dc\ub4e4\uc740 N-1\uac1c\uc758 \uc591\ubc29\ud5a5 \ub3c4\ub85c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\uc73c\uba70, \uac01 \ub3c4\ub85c\ub294 \ud0ac\ub85c\ubbf8\ud130\ub85c \ud45c\ud604\ub41c \uae38\uc774\ub97c \uac00\uc9c0\uace0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\uc2dc\ub97c \ub450 \ubc88 \uac70\uce58\uc9c0 \uc54a\uace0 \ub3c4\uc2dc\uc758 \uc30d\uc744&nbsp;\uc21c\ud68c\ud558\ub294 \ubc29\ubc95\uc740 \uc720\uc77c\ud558\ub2e4.(i.e. \ub3c4\ub85c\uc758 \uadf8\ub798\ud504\uac00 \ud2b8\ub9ac \ud615\ud0dc\uc77c\ub54c)<\/p>\r\n\r\n<p>\ub3c4\uc2dc\uac00 \uacf5\uaca9\ub2f9\ud588\uc744 \ub54c,&nbsp;\ucd5c\ub300\ud55c \ube60\ub978 \uc2dc\uac04 \ub0b4\uc5d0&nbsp;\uc774 \uc0ac\uc2e4\uc744&nbsp;\uc218\ub3c4\uc5d0&nbsp;\ubcf4\uace0\ud574\uc57c\ud55c\ub2e4.&nbsp;\uac01 \ub3c4\uc2dc\uc5d0 \uc0b4\uace0\uc788\ub294 \uc804\ub839\ub4e4\uc774 \uc774 \uba54\uc138\uc9c0\ub97c \uc804\ub2ec\ud55c\ub2e4. \uac01\uac01\uc758 \uc804\ub839\ub4e4\uc740 \uc5ec\uc815\uc744 \uc2dc\uc791\ud558\uae30 \uc704\ud574 \ud544\uc694\ud55c \uc2dc\uac04\uacfc \uace0\uc720\uc758 \uc18d\ub825(\ud0ac\ub85c\ubbf8\ud130\ub2f9 \ubd84\uc73c\ub85c \ud45c\ud604\ub41c, min\/km)\uc73c\ub85c \ud45c\ud604\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\uc2dc\uc5d0\uc11c \ucd9c\ubc1c\ud55c \uba54\uc138\uc9c0\ub294 \uc218\ub3c4\uae4c\uc9c0 \uc720\uc77c\ud55c&nbsp;\uac00\uc7a5 \uc9e7\uc740 \uacbd\ub85c\ub97c \ud1b5\ud574\uc11c \uc804\ub2ec\ub41c\ub2e4. \ucc98\uc74c\uc5d0\ub294&nbsp;\uacf5\uaca9\ub2f9\ud55c \ub3c4\uc2dc\uc758 \uc804\ub839\uc774 \uba54\uc138\uc9c0\ub97c \uc804\ub2ec\ud55c\ub2e4. \uadf8 \uc804\ub839\uc774 \uc21c\ud68c\ud558\ub294&nbsp;\ub2e4\ub978 \ub3c4\uc2dc\uc5d0\uc11c \uc804\ub839\uc740 \ub450&nbsp;\uac00\uc9c0 \uc120\ud0dd\uc744 \ud560 \uc218 \uc788\ub2e4. \uc218\ub3c4\ub85c \uac00\uae30 \uc704\ud574 \ub2e4\uc74c \ub3c4\uc2dc\ub97c \uac00\uac70\ub098, \uadf8 \ub3c4\uc2dc\uc758 \uc804\ub839\uc5d0\uac8c \uba54\uc138\uc9c0\ub97c \ub0a8\uae38 \uc218 \uc788\ub2e4. \uc0c8\ub85c\uc6b4 \uc804\ub839\uc740 \uc704\uc640 \uac19\uc740 \ubc29\uc2dd\uc744 \ub530\ub978\ub2e4. \uc885\ud569\ud574\ubcf4\uba74, \uba54\uc138\uc9c0\ub294 \uc218\ub3c4\uae4c\uc9c0 \uc804\ub2ec\ub418\ub294 \ub3d9\uc548&nbsp;\uc5ec\ub7ec \uc804\ub839\uc744 \uac70\uce60 \uc218 \uc788\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc774\ub54c, \uac01 \ub3c4\uc2dc\uc5d0\uc11c \uc218\ub3c4\uae4c\uc9c0 \uba54\uc138\uc9c0\ub97c \uc804\ud558\ub294\ub370 &nbsp;\uac78\ub9ac\ub294 \ucd5c\uc18c \uc2dc\uac04\uc744 \uad6c\ud558\uc5ec\ub77c.<\/p>\r\n","input":"<p>\uccab&nbsp;\uc9f8\uc904\uc5d4, \ubab0\ub2e4\ube44\uc544\uc758 \ub3c4\uc2dc\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\ubd80\ud130 N-1\uac1c\uc758 \uc904\uc5d0 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub41c&nbsp;\uc138\uac1c\uc758 \uc815\uc218 U, V, D\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;\uc774\ub294 \ub3c4\uc2dc&nbsp;U\uc640 \ub3c4\uc2dc&nbsp;V \uc0ac\uc774\uc5d0 D \ud0ac\ub85c\ubbf8\ud130\uc758 \ub3c4\ub85c\uac00 \uc788\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uadf8 \uc544\ub798\uc5d0, \ud55c \uc904\uc5d0 \ud558\ub098&nbsp;\uc529&nbsp;N-1\uac1c\uc758 \uc815\uc218 \uc30d\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. i\ubc88\uc9f8 \uc30d\uc778 S<sub>i<\/sub>, V<sub>i<\/sub>\ub294 (i+1)\ubc88\uc9f8 \ub3c4\uc2dc\uc758 \uc804\ub839\uc744 \ud45c\ud604\ud558\ub294 \uc218\uc774\ub2e4. S<sub>i<\/sub>\ub294 \uc5ec\uc815\uc744 \uc900\ube44\ud558\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04, V<sub>i<\/sub>\ub294 1km\ub97c \uac00\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04(\ubd84)\uc774\ub2e4. \uc218\ub3c4\uc5d0\ub294 \uc804\ub839\uc774 \uc5c6\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>3 &le; N &le; 100,000<\/li>\r\n\t<li>0 &le; S<sub>i<\/sub>&nbsp;&le; 10<sup>9<\/sup><\/li>\r\n\t<li>1 &le; V<sub>i&nbsp;<\/sub>&le; 10<sup>9<\/sup><\/li>\r\n\t<li>\uac01 \ub3c4\ub85c\uc758 \uae38\uc774\ub294 10,000\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>\ud45c\uc900 \ucd9c\ub825\uc740 \ud558\ub098\uc758 \uc904\uc5d0 N-1\uac1c\uc758 \uc815\uc218\ub97c \ud3ec\ud568\ud574\uc57c\ud55c\ub2e4. i\ubc88\uc9f8 \uc22b\uc790\ub294 (i+1)\ubc88\uc9f8 \ub3c4\uc2dc\uc5d0\uc11c \uc218\ub3c4\ub85c \uba54\uc138\uc9c0\ub97c \ubcf4\ub0b4\ub294\ub370 \ud544\uc694\ud55c&nbsp;\ucd5c\uc18c \uc2dc\uac04(\ubd84)\uc744&nbsp;\ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3319","problem_lang":"1","title":"harbingers","description":"<p>Once upon a time, there were N medieval towns in the beautiful Moldavian territory, uniquely numbered from 1 through N. The town numbered with 1 was the capital city. The towns were connected by N-1 bidirectional roads, each road having a length expressed in kilometers. There was a unique way to travel between any pair of towns without going through a town twice (i.e. the graph of roads was a tree).<\/p>\r\n\r\n<p>When a town was attacked, the situation had to be reported as soon as possible to the capital. The message was carried by harbingers, one of which resided in each town. Each harbinger was characterized by the amount of time required to start the journey and by his constant speed (expressed in minutes per kilometer) after departure.<\/p>\r\n\r\n<p>The message from a town was always carried on the unique shortest path to the capital. Initially, the harbinger from the attacked town carried the message. In each town that he traversed, a harbinger had two options: either go to the next town towards the capital, or leave the message to the harbinger from this town. The new harbinger applied the same algorithm as above. Overall, a message could be carried by any number of harbingers before arriving in the capital.<\/p>\r\n\r\n<p>Your task is to find, for each town, the minimum time required to send a message from that town to the capital.&nbsp;<\/p>\r\n","input":"<p>The first line of the standard input contains one integer N, the number of towns in Moldavia. Each of the following N-1 lines contains three integers u v d, separated by one space, describing a road of length d kilometers between towns numbered with u and v. Subsequently, N-1 pairs of integers follow, one per line. The ith pair, S<sub>i<\/sub> V<sub>i<\/sub>, describes the characteristics of the harbinger in the (i+1)th town: S<sub>i<\/sub> is the number of minutes to prepare for the journey, and V<sub>i<\/sub> is the number of minutes needed to travel one kilometer. There is no harbinger in the capital.&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>3 &le; N &le; 100 000<\/li>\r\n\t<li>0 &le; S<sub>i<\/sub> &le; 10<sup>9<\/sup><\/li>\r\n\t<li>1 &le; V<sub>i<\/sub> &le; 10<sup>9<\/sup><\/li>\r\n\t<li>The length of each road will not exceed 10 000<\/li>\r\n<\/ul>\r\n","output":"<p>The standard output should consist of exactly one line containing N-1 integers. The ith number represents the minimum time, in minutes, required to send a message from the (i+1)th town to the capital.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]