시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB249917139.011%

문제

상근이가 지배하는 나라에는 도시가 N개 있고, 도시는 M개의 양방향 도로로 연결되어 있다. 이 중 K개 도시에는 쇼핑몰이 있고, 국민은 도로를 통해서 쇼핑몰이 있는 마을로 가고, 쇼핑을 한다.

쇼핑몰이 멀리 떨어져 있는 사람은 쇼핑몰로 가기 위해 긴 시간 운전을 해야 한다. 상근이는 실정을 파악하기 위해서 쇼핑몰과 집의 최단 거리가 집의 위치에 따라서 어떻게 달라지는지 구하기로 한다. 집은 도시에 있을 수도 있고, 도로 위에 있을 수도 있다.

도로의 정보와 쇼핑몰이 있는 도시가 주어졌을 때, 쇼핑몰이 있는 도시와 가장 먼 거리에 있는 집까지의 거리를 구하는 프로그램을 작성하시오. 도시 속을 이동하는데 걸리는 시간은 0이다. 또, 사람들은 항상 최단 경로를 이용한다.

입력

첫째 줄에 도시의 수 N, 도로의 수 M, 쇼핑몰이 있는 도시의 수 K가 주어진다. 도시는 1번부터 N번까지 번호가 매겨져 있다. (2 ≤ N ≤ 3000, 1 ≤ M ≤ 105, 1 ≤ K ≤ N)

다음 M개 줄에는 도로의 정보 a, b, l이 주어진다. a와 b를 잇는 도로의 길이가 l(1 ≤ l ≤ 1000)임을 의미하며, a와 b가 같은 경우는 없다. 두 도시 p와 q에 대해서, 두 도시를 잇는 도로는 2개 이상 존재하지 않는다. 항상 도로를 이용해서 모든 도시로 이동할 수 있다.

다음 K개 줄에는 쇼핑몰이 있는 도시의 번호가 주어진다. 한 도시에 쇼핑몰이 여러 개 있을 수는 없다.

출력

쇼핑몰이 있는 곳에서 가장 멀리 떨어져 있는 집과의 거리(쇼핑몰과 집의 최단 거리의 최솟값)를 소수점 첫째자리에서 반올림해서 출력한다.

예제 입력 1

3 3 1
1 2 1
2 3 1
3 1 1
1

예제 출력 1

2

예제 입력 2

4 5 2
1 2 4
1 3 1
2 3 2
2 4 2
3 4 1
2
4

예제 출력 2

3

힌트

예제 1의 경우에 도로의 길이는 모두 1이고, 쇼핑몰은 1번 도시에만 있다. 쇼핑몰과 가장 먼 거리에 있는 집의 위치는 2번 도시와 3번 도시를 연결하는 도로에서 2번 도시와 거리가 0.5만큼 떨어져 있는 위치 위에 있는 곳이다. 이 집과 쇼핑몰의 거리는 1.5이다. 따라서, 반올림하면 2가 된다.

[{"problem_id":"5551","problem_lang":"0","title":"\uc1fc\ud551\ubab0","description":"<p>\uc0c1\uadfc\uc774\uac00 \uc9c0\ubc30\ud558\ub294 \ub098\ub77c\uc5d0\ub294 \ub3c4\uc2dc\uac00 N\uac1c \uc788\uace0, \ub3c4\uc2dc\ub294 M\uac1c\uc758 \uc591\ubc29\ud5a5 \ub3c4\ub85c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4. \uc774 \uc911 K\uac1c \ub3c4\uc2dc\uc5d0\ub294 \uc1fc\ud551\ubab0\uc774 \uc788\uace0, \uad6d\ubbfc\uc740 \ub3c4\ub85c\ub97c \ud1b5\ud574\uc11c \uc1fc\ud551\ubab0\uc774 \uc788\ub294 \ub9c8\uc744\ub85c \uac00\uace0, \uc1fc\ud551\uc744 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc1fc\ud551\ubab0\uc774 \uba40\ub9ac \ub5a8\uc5b4\uc838 \uc788\ub294 \uc0ac\ub78c\uc740 \uc1fc\ud551\ubab0\ub85c \uac00\uae30 \uc704\ud574 \uae34 \uc2dc\uac04 \uc6b4\uc804\uc744 \ud574\uc57c \ud55c\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc2e4\uc815\uc744 \ud30c\uc545\ud558\uae30 \uc704\ud574\uc11c \uc1fc\ud551\ubab0\uacfc \uc9d1\uc758 \ucd5c\ub2e8 \uac70\ub9ac\uac00 \uc9d1\uc758 \uc704\uce58\uc5d0 \ub530\ub77c\uc11c \uc5b4\ub5bb\uac8c \ub2ec\ub77c\uc9c0\ub294\uc9c0 \uad6c\ud558\uae30\ub85c \ud55c\ub2e4. \uc9d1\uc740 \ub3c4\uc2dc\uc5d0 \uc788\uc744 \uc218\ub3c4 \uc788\uace0, \ub3c4\ub85c \uc704\uc5d0 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\ub85c\uc758 \uc815\ubcf4\uc640 \uc1fc\ud551\ubab0\uc774 \uc788\ub294 \ub3c4\uc2dc\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc1fc\ud551\ubab0\uc774 \uc788\ub294 \ub3c4\uc2dc\uc640 \uac00\uc7a5 \uba3c \uac70\ub9ac\uc5d0 \uc788\ub294 \uc9d1\uae4c\uc9c0\uc758 \uac70\ub9ac\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub3c4\uc2dc \uc18d\uc744 \uc774\ub3d9\ud558\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 0\uc774\ub2e4. \ub610, \uc0ac\ub78c\ub4e4\uc740 \ud56d\uc0c1 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uc774\uc6a9\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub3c4\uc2dc\uc758 \uc218 N, \ub3c4\ub85c\uc758 \uc218 M, \uc1fc\ud551\ubab0\uc774 \uc788\ub294 \ub3c4\uc2dc\uc758 \uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub3c4\uc2dc\ub294 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. (2 &le; N &le; 3000, 1 &le; M &le; 10<sup>5<\/sup>, 1 &le; K &le; N)<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 \ub3c4\ub85c\uc758 \uc815\ubcf4 a, b, l\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. a\uc640 b\ub97c \uc787\ub294 \ub3c4\ub85c\uc758 \uae38\uc774\uac00 l(1 &le; l&nbsp;&le; 1000)\uc784\uc744 \uc758\ubbf8\ud558\uba70, a\uc640 b\uac00 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \ub450 \ub3c4\uc2dc p\uc640 q\uc5d0 \ub300\ud574\uc11c, \ub450 \ub3c4\uc2dc\ub97c \uc787\ub294 \ub3c4\ub85c\ub294 2\uac1c \uc774\uc0c1 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4. \ud56d\uc0c1 \ub3c4\ub85c\ub97c \uc774\uc6a9\ud574\uc11c \ubaa8\ub4e0 \ub3c4\uc2dc\ub85c \uc774\ub3d9\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c K\uac1c \uc904\uc5d0\ub294 \uc1fc\ud551\ubab0\uc774 \uc788\ub294 \ub3c4\uc2dc\uc758 \ubc88\ud638\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ud55c \ub3c4\uc2dc\uc5d0 \uc1fc\ud551\ubab0\uc774 \uc5ec\ub7ec \uac1c \uc788\uc744 \uc218\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uc1fc\ud551\ubab0\uc774 \uc788\ub294 \uacf3\uc5d0\uc11c \uac00\uc7a5 \uba40\ub9ac \ub5a8\uc5b4\uc838 \uc788\ub294 \uc9d1\uacfc\uc758 \uac70\ub9ac(\uc1fc\ud551\ubab0\uacfc \uc9d1\uc758 \ucd5c\ub2e8 \uac70\ub9ac\uc758 \ucd5c\uc19f\uac12)\ub97c \uc18c\uc218\uc810 \uccab\uc9f8\uc790\ub9ac\uc5d0\uc11c \ubc18\uc62c\ub9bc\ud574\uc11c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc608\uc81c 1\uc758 \uacbd\uc6b0\uc5d0 \ub3c4\ub85c\uc758 \uae38\uc774\ub294 \ubaa8\ub450 1\uc774\uace0, \uc1fc\ud551\ubab0\uc740 1\ubc88 \ub3c4\uc2dc\uc5d0\ub9cc \uc788\ub2e4. \uc1fc\ud551\ubab0\uacfc \uac00\uc7a5 \uba3c \uac70\ub9ac\uc5d0 \uc788\ub294 \uc9d1\uc758 \uc704\uce58\ub294 2\ubc88 \ub3c4\uc2dc\uc640 3\ubc88 \ub3c4\uc2dc\ub97c \uc5f0\uacb0\ud558\ub294 \ub3c4\ub85c\uc5d0\uc11c 2\ubc88 \ub3c4\uc2dc\uc640 \uac70\ub9ac\uac00 0.5\ub9cc\ud07c \ub5a8\uc5b4\uc838 \uc788\ub294 \uc704\uce58 \uc704\uc5d0 \uc788\ub294 \uacf3\uc774\ub2e4. \uc774 \uc9d1\uacfc \uc1fc\ud551\ubab0\uc758 \uac70\ub9ac\ub294 1.5\uc774\ub2e4. \ub530\ub77c\uc11c, \ubc18\uc62c\ub9bc\ud558\uba74 2\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/71c6d184-00c8-4046-985f-5504caa88823\/-\/preview\/\" style=\"width: 221px; height: 181px;\" \/><\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5551","problem_lang":"2","title":"JOI \u56fd\u306e\u8cb7\u3044\u7269\u4e8b\u60c5 (Shopping in JOI Kingdom)","description":"<p>JOI \u56fd\u306b\u306f N \u500b\u306e\u753a\u304c\u3042\u308a\uff0c\u305d\u308c\u3089\u306e\u9593\u306f M \u672c\u306e\u53cc\u65b9\u5411\u306b\u901a\u884c\u53ef\u80fd\u306a\u9053\u8def\u3067\u7d50\u3070\u308c\u3066\u3044\u308b\uff0eK \u500b\u306e\u753a\u306b\u306f\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u304c\u3042\u308a\uff0c\u56fd\u6c11\u306f\u9053\u8def\u3092\u901a\u3063\u3066\u305d\u308c\u3089\u306e\u753a\u306e\u3044\u305a\u308c\u304b\u306b\u884c\u304d\u8cb7\u3044\u7269\u3092\u3059\u308b\uff0e<\/p>\r\n\r\n<p>\u5bb6\u306e\u5834\u6240\u306b\u3088\u3063\u3066\u306f\uff0c\u8cb7\u3044\u7269\u306b\u884c\u304f\u305f\u3081\u306b\u9577\u3044\u8ddd\u96e2\u3092\u79fb\u52d5\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\uff0c\u305d\u308c\u306f\u975e\u5e38\u306b\u4e0d\u4fbf\u3067\u3042\u308b\uff0e\u56fd\u738b\u306f\u3053\u306e\u5b9f\u60c5\u3092\u628a\u63e1\u3059\u308b\u305f\u3081\uff0c\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u307e\u3067\u306e\u6700\u77ed\u8ddd\u96e2\u304c\u5bb6\u306e\u5834\u6240\u306b\u3088\u3063\u3066\u3069\u308c\u3060\u3051\u9577\u304f\u306a\u308a\u3046\u308b\u306e\u304b\u3092\u8abf\u3079\u308b\u3053\u3068\u306b\u3057\u305f\uff0e\u5bb6\u306f\u9053\u8def\u306e\u9014\u4e2d\u306b\u5efa\u3066\u3089\u308c\u308b\u3053\u3068\u3082\u3042\u308b\u306e\u3067 (\u5165\u529b\u4f8b 1 \u306e\u8aac\u660e\u3092\u53c2\u7167)\uff0c\u3053\u306e\u8abf\u67fb\u306f\u975e\u5e38\u306b\u5927\u5909\u3067\u3042\u308b\uff0e\u305d\u3053\u3067\u56fd\u738b\u306f\uff0c\u512a\u79c0\u306a\u30d7\u30ed\u30b0\u30e9\u30de\u30fc\u3067\u3042\u308b\u3042\u306a\u305f\u306b\uff0c\u8abf\u67fb\u3092\u884c\u3046\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u4f5c\u6210\u3092\u4f9d\u983c\u3057\u305f\uff0e<\/p>\r\n\r\n<p>\u9053\u8def\u306e\u60c5\u5831\u3068\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u304d\uff0c\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u304b\u3089\u3082\u3063\u3068\u3082\u9060\u3044\u9053\u8def\u4e0a\u306e\u70b9 (\u7aef\u70b9\u3082\u542b\u3080) \u307e\u3067\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e\u753a\u306e\u4e2d\u3092\u79fb\u52d5\u3059\u308b\u306e\u306b\u304b\u304b\u308b\u8ddd\u96e2\u306f\u7121\u8996\u3057\u3066\u3088\u3044\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u5165\u529b\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f\u6574\u6570 N, M, K \u304c\u7a7a\u767d\u533a\u5207\u308a\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\uff0eN \u306f JOI \u56fd\u306e\u753a\u306e\u500b\u6570\u3092\uff0cM \u306f JOI \u56fd\u306e\u9053\u8def\u306e\u672c\u6570\u3092\uff0cK \u306f\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u304c\u3042\u308b\u753a\u306e\u500b\u6570\u3092\u305d\u308c\u305e\u308c\u8868\u3059\uff0e\u753a\u306b\u306f 1, 2, ... , N \u306e\u756a\u53f7\u304c\u3064\u3051\u3089\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n\t<li>\u7d9a\u304f M \u884c\u306f\u9053\u8def\u306e\u60c5\u5831\u3092\u8868\u3059\uff0ei + 1 \u884c\u76ee (1 &le; i &le; M) \u306b\u306f\u6574\u6570 a<sub>i<\/sub>, b<sub>i<\/sub>, l<sub>i<\/sub> (1 &le; a<sub>i<\/sub> &le; N, 1 &le; b<sub>i<\/sub> &le; N, 1 &le; l<sub>i<\/sub> &le; 1000) \u304c\u7a7a\u767d\u533a\u5207\u308a\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0ci \u672c\u76ee\u306e\u9053\u8def\u304c\u753a a<sub>i<\/sub> \u3068\u753a b<sub>i<\/sub> \u3092\u7d50\u3093\u3067\u304a\u308a\uff0c\u9577\u3055\u304cli \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e\u9053\u8def\u306e\u4e21\u7aef\u304c\u540c\u3058\u753a\u3067\u3042\u308b\u3053\u3068\u306f\u306a\u3044\uff0e\u307e\u305f\uff0c\u4efb\u610f\u306e 2 \u3064\u306e\u753a p, q \u306b\u5bfe\u3057\uff0cp\u3068 q \u3092\u7d50\u3076\u9053\u8def\u306f 2 \u672c\u4ee5\u4e0a\u5b58\u5728\u3057\u306a\u3044\uff0e\u3069\u306e\u753a\u304b\u3089\u3069\u306e\u753a\u3078\u3082\u3044\u304f\u3064\u304b\u306e\u9053\u8def\u3092\u305f\u3069\u3063\u3066\u884c\u304f\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<\/li>\r\n\t<li>\u7d9a\u304f K \u884c\u306f\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u60c5\u5831\u3092\u8868\u3059\uff0ei+M+1 \u884c\u76ee (1 &le; i &le; K) \u306b\u306f 1 \u3064\u306e\u6574\u6570 s<sub>i<\/sub> (1 &le; s<sub>i<\/sub> &le; N)\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\u753a s<sub>i<\/sub> \u306b\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u304c\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0es<sub>1<\/sub>, ..., s<sub>K<\/sub> \u306e\u4e2d\u306b\u540c\u3058\u5024\u304c 2\u56de\u4ee5\u4e0a\u73fe\u308c\u308b\u3053\u3068\u306f\u306a\u3044\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u307e\u3067\u306e\u6700\u77ed\u8ddd\u96e2\u306e\u6700\u5927\u5024\u306e\u5c0f\u6570\u70b9\u4ee5\u4e0b\u3092\u56db\u6368\u4e94\u5165\u3057\u305f\u6574\u6570 1\u3064\u3092\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u5165\u529b\u4f8b 1 \u306f\u6b21\u306e\u3088\u3046\u306a\u753a\u3092\u8868\u3059\uff0e\u9053\u8def\u306e\u9577\u3055\u306f\u3059\u3079\u3066 1 \u3067\u3042\u308b\uff0e\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306f\u753a 1 \u306b\u3057\u304b\u306a\u3044\uff0e\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u307e\u3067\u3082\u3063\u3068\u3082\u9060\u3044\u70b9\u306f\uff0c\u753a 2 \u3068\u753a 3 \u3092\u7d50\u3076\u9053\u8def\u4e0a\u306e\uff0c\u753a 2 \u304b\u3089\u8ddd\u96e2 0.5 \u306e\u4f4d\u7f6e\u306b\u3042\u308b\u70b9\u3067\u3042\u308a\uff0c\u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u306e\u3042\u308b\u753a\u307e\u3067\u306e\u8ddd\u96e2\u306f 1.5 \u3067\u3042\u308b\uff0e\u3088\u3063\u3066\uff0c\u305d\u308c\u3092\u56db\u6368\u4e94\u5165\u3057\u305f\u5024\u3067\u3042\u308b 2 \u3092\u51fa\u529b\u3059\u308b\uff0e<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/71c6d184-00c8-4046-985f-5504caa88823\/-\/preview\/\" style=\"width: 221px; height: 181px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u5165\u529b\u4f8b 1 \u306b\u5bfe\u5fdc\u3059\u308b\u56f3<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Japanese","limit":"<ul>\r\n\t<li>2 &le; N &le; 3000 JOI \u56fd\u306e\u753a\u306e\u500b\u6570<\/li>\r\n\t<li>1 &le; M &le; 100000 = 10<sup>5<\/sup> JOI \u56fd\u306e\u9053\u8def\u306e\u672c\u6570<\/li>\r\n\t<li>1 &le; K &le; N \u30b7\u30e7\u30c3\u30d4\u30f3\u30b0\u30e2\u30fc\u30eb\u304c\u3042\u308b\u753a\u306e\u500b\u6570<\/li>\r\n\t<li>1 &le; l<sub>i<\/sub> &le; 1000 i \u756a\u76ee\u306e\u9053\u8def\u306e\u9577\u3055<\/li>\r\n<\/ul>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2011 3번