시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 58 33 27 56.250%

문제

JOI 국에는 N개의 도시가 있다. 이 도시들 사이에는 M개의 도로가 있는데 이 도로는 양방향으로 통행이 가능한 도로이다. 모든 도시들은 연결되어 있다.

현재 JOI국의 K개의 도시들에서 축제가 벌어지고 있다. JOI국의 국민들은 축제를 좋아하는 사람들도 있지만 그 분위기를 매우 싫어하는 국민들도 제법 있다.

축제를 싫어하는 사람 Q명이 도시들 사이를 이동하려고 한다. 출발도시와 도착도시가 주어질 때, 가능한 한 축제를 하는 도시와의 거리를 멀게하여 원하는 도시로 가는 방법을 구하여라. 단, 축제하는 도시와 임의의 도시와의 거리는 두 지점간의 최단경로로 계산한다.

입력

첫째 줄에 도시의 수 N, 도로의 수 M, 축제를 여는 도시의 수 K, 축제를 싫어하는 사람의 수 Q가 공백으로 구분되어 입력된다.

다음 줄부터 M줄에 걸쳐서 각 도로의 정보 시작점, 출발점, 거리가 공백으로 구분되어 입력된다. 거리는 1000을 넘지 않는다.

다음 줄 부터 K줄에 걸쳐서 축제를 하는 도시의 번호가 한 줄에 하나씩 입력된다.

다음 줄부터 Q줄에 걸쳐서 축제를 싫어하는 사람이 출발하는 출발지와 도착지가 한 줄에 하나씩 공백으로 구분되어 입력된다.

  • 2 ≤ N ≤ 100000
  • 1 ≤ M ≤ 200000
  • 1 ≤ K ≤ N
  • 1 ≤ Q ≤ 100000

출력

Q줄에 걸쳐서 입력받은 순서대로 각 사람이 이동하는데 축제하는 도시와의 최대거리를 출력한다.

예제 입력 1

6 6 2 3
1 2 5
2 3 4
2 4 6
3 5 9
4 5 3
5 6 7
1
6
3 4
5 2
1 4

예제 출력 1

7
5
0

예제 입력 2

12 17 2 5
1 3 6
1 6 7
2 3 8
2 4 4
2 8 11
2 12 2
3 6 3
3 7 8
3 11 2
4 12 2
5 10 3
6 10 5
8 9 6
8 12 7
9 10 6
11 9 10
12 9 5
8
7
2 6
5 2
1 10
8 9
9 4

예제 출력 2

8
8
11
0
6

힌트

예제 1. 3에서 4로 가는 경우는 3-5-4로 이동하면 가장 가까운 축제가 6번이고 거리는 7이다. 이 값이 최대이고, 5에서 2로 가는 경우는 5-3-2, 5-4-2 모두 1번 축제와 거리 5가 되므로 이 값을 출력한다. 마지막으로 1에서 4로 가는 경우는 1이 축제지 이므로 축제지와의 최대거리는 0이된다.

 

예제 2.

[{"problem_id":"5542","problem_lang":"0","title":"JOI \uad6d\uac00\uc758 \ud589\uc0ac","description":"<p>JOI \uad6d\uc5d0\ub294 N\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\ub2e4. \uc774 \ub3c4\uc2dc\ub4e4 \uc0ac\uc774\uc5d0\ub294 M\uac1c\uc758 \ub3c4\ub85c\uac00 \uc788\ub294\ub370 \uc774 \ub3c4\ub85c\ub294 \uc591\ubc29\ud5a5\uc73c\ub85c \ud1b5\ud589\uc774 \uac00\ub2a5\ud55c \ub3c4\ub85c\uc774\ub2e4. \ubaa8\ub4e0 \ub3c4\uc2dc\ub4e4\uc740 \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc7ac JOI\uad6d\uc758 K\uac1c\uc758 \ub3c4\uc2dc\ub4e4\uc5d0\uc11c \ucd95\uc81c\uac00 \ubc8c\uc5b4\uc9c0\uace0 \uc788\ub2e4. JOI\uad6d\uc758 \uad6d\ubbfc\ub4e4\uc740 \ucd95\uc81c\ub97c \uc88b\uc544\ud558\ub294 \uc0ac\ub78c\ub4e4\ub3c4 \uc788\uc9c0\ub9cc \uadf8 \ubd84\uc704\uae30\ub97c \ub9e4\uc6b0 \uc2eb\uc5b4\ud558\ub294 \uad6d\ubbfc\ub4e4\ub3c4 \uc81c\ubc95 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ucd95\uc81c\ub97c \uc2eb\uc5b4\ud558\ub294 \uc0ac\ub78c Q\uba85\uc774 \ub3c4\uc2dc\ub4e4 \uc0ac\uc774\ub97c \uc774\ub3d9\ud558\ub824\uace0 \ud55c\ub2e4. \ucd9c\ubc1c\ub3c4\uc2dc\uc640 \ub3c4\ucc29\ub3c4\uc2dc\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \uac00\ub2a5\ud55c \ud55c \ucd95\uc81c\ub97c \ud558\ub294 \ub3c4\uc2dc\uc640\uc758 \uac70\ub9ac\ub97c \uba40\uac8c\ud558\uc5ec \uc6d0\ud558\ub294 \ub3c4\uc2dc\ub85c \uac00\ub294 \ubc29\ubc95\uc744 \uad6c\ud558\uc5ec\ub77c. \ub2e8, \ucd95\uc81c\ud558\ub294 \ub3c4\uc2dc\uc640 \uc784\uc758\uc758 \ub3c4\uc2dc\uc640\uc758 \uac70\ub9ac\ub294 \ub450 \uc9c0\uc810\uac04\uc758 \ucd5c\ub2e8\uacbd\ub85c\ub85c \uacc4\uc0b0\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub3c4\uc2dc\uc758 \uc218 N, \ub3c4\ub85c\uc758 \uc218 M, \ucd95\uc81c\ub97c \uc5ec\ub294 \ub3c4\uc2dc\uc758 \uc218 K, \ucd95\uc81c\ub97c \uc2eb\uc5b4\ud558\ub294 \uc0ac\ub78c\uc758 \uc218 Q\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc785\ub825\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\ubd80\ud130 M\uc904\uc5d0 \uac78\uccd0\uc11c \uac01 \ub3c4\ub85c\uc758 \uc815\ubcf4 \uc2dc\uc791\uc810, \ucd9c\ubc1c\uc810, \uac70\ub9ac\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc785\ub825\ub41c\ub2e4. \uac70\ub9ac\ub294 1000\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904 \ubd80\ud130 K\uc904\uc5d0 \uac78\uccd0\uc11c \ucd95\uc81c\ub97c \ud558\ub294 \ub3c4\uc2dc\uc758 \ubc88\ud638\uac00 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc785\ub825\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\ubd80\ud130 Q\uc904\uc5d0 \uac78\uccd0\uc11c \ucd95\uc81c\ub97c \uc2eb\uc5b4\ud558\ub294 \uc0ac\ub78c\uc774 \ucd9c\ubc1c\ud558\ub294 \ucd9c\ubc1c\uc9c0\uc640 \ub3c4\ucc29\uc9c0\uac00 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc785\ub825\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>2 &le; N &le; 100000<\/li>\r\n\t<li>1 &le; M &le; 200000<\/li>\r\n\t<li>1 &le; K &le; N<\/li>\r\n\t<li>1 &le; Q &le; 100000<\/li>\r\n<\/ul>\r\n","output":"<p>Q\uc904\uc5d0 \uac78\uccd0\uc11c \uc785\ub825\ubc1b\uc740 \uc21c\uc11c\ub300\ub85c \uac01 \uc0ac\ub78c\uc774 \uc774\ub3d9\ud558\ub294\ub370 \ucd95\uc81c\ud558\ub294 \ub3c4\uc2dc\uc640\uc758 \ucd5c\ub300\uac70\ub9ac\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/www.acmicpc.net\/upload\/images3\/king1.png\" style=\"height:92px; width:391px\" title=\"\" \/><\/p>\r\n\r\n<p>\uc608\uc81c 1. 3\uc5d0\uc11c 4\ub85c \uac00\ub294 \uacbd\uc6b0\ub294 3-5-4\ub85c \uc774\ub3d9\ud558\uba74 \uac00\uc7a5 \uac00\uae4c\uc6b4 \ucd95\uc81c\uac00 6\ubc88\uc774\uace0 \uac70\ub9ac\ub294 7\uc774\ub2e4. \uc774 \uac12\uc774 \ucd5c\ub300\uc774\uace0, 5\uc5d0\uc11c 2\ub85c \uac00\ub294 \uacbd\uc6b0\ub294 5-3-2, 5-4-2 \ubaa8\ub450 1\ubc88 \ucd95\uc81c\uc640 \uac70\ub9ac 5\uac00 \ub418\ubbc0\ub85c \uc774 \uac12\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c 1\uc5d0\uc11c 4\ub85c \uac00\ub294 \uacbd\uc6b0\ub294 1\uc774 \ucd95\uc81c\uc9c0 \uc774\ubbc0\ub85c \ucd95\uc81c\uc9c0\uc640\uc758 \ucd5c\ub300\uac70\ub9ac\ub294 0\uc774\ub41c\ub2e4.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"https:\/\/www.acmicpc.net\/upload\/images3\/king2.png\" style=\"height:219px; width:375px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uc608\uc81c 2.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5542","problem_lang":"2","title":"JOI \u56fd\u306e\u304a\u796d\u308a\u4e8b\u60c5","description":"<p>JOI \u56fd\u306b\u306f N \u500b\u306e\u8857\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\uff0e\u56fd\u6c11\u306f\u9053\u8def\u3092\u901a\u3063\u3066\u305d\u308c\u3089\u306e\u8857\u3092\u79fb\u52d5\u3059\u308b\uff0e<\/p>\r\n\r\n<p>JOI \u56fd\u306e\u56fd\u6c11\u306b\u306f\uff0c\u304a\u796d\u308a\u304c\u597d\u304d\u306a\u4eba\u304c\u591a\u304f\uff0c\u73fe\u5728\uff0cK \u500b\u306e\u8857\u3067\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u304a\u308a\uff0c\u975e\u5e38\u306b\u8cd1\u308f\u3063\u3066\u3044\u308b\uff0e\u4e00\u65b9\u3067\uff0c\u4e00\u90e8\u306e\u56fd\u6c11\u306f\u304a\u796d\u308a\u3092\u9a12\u304c\u3057\u3044\u3068\u3057\u3066\u5acc\u3044\uff0c\u304a\u796d\u308a\u306b\u3067\u304d\u308b\u3060\u3051\u8fd1\u3065\u304d\u305f\u304f\u306a\u3044\u3068\u601d\u3063\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>\u305d\u3053\u3067\u56fd\u738b\u306f\uff0c\u512a\u79c0\u306a\u30d7\u30ed\u30b0\u30e9\u30de\u30fc\u3067\u3042\u308b\u3042\u306a\u305f\u306b\uff0c\u305d\u306e\u3088\u3046\u306a\u304a\u796d\u308a\u3092\u5acc\u3046\u56fd\u6c11\u306e\u305f\u3081\uff0c\u3042\u308b\u8857\u304b\u3089\u3042\u308b\u8857\u306b\u79fb\u52d5\u3059\u308b\u305f\u3081\u306b\uff0c\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u306b\u3069\u308c\u3060\u3051\u8fd1\u3065\u304b\u305a\u306b\u79fb\u52d5\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304b\u3092\u9ad8\u901f\u306b\u8abf\u3079\u308b\u3053\u3068\u306e\u3067\u304d\u308b\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\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u306e\u60c5\u5831\uff0c\u304a\u3088\u3073 Q \u500b\u306e\u30af\u30a8\u30ea\uff08\u51fa\u767a\u3059\u308b\u8857 S<sub>i<\/sub> \u3068\u884c\u304d\u305f\u3044\u8857 T<sub>i<\/sub> \u306e\u7d44\uff09\u304c\u4e0e\u3048\u3089\u308c\u308b\uff0e\u5404\u30af\u30a8\u30ea i \u306b\u5bfe\u3057\uff0c\u8857 S<sub>i<\/sub> \u304b\u3089\u8857 T<sub>i<\/sub> \u3078\u306e\u3059\u3079\u3066\u306e\u7d4c\u8def\u306e\u3046\u3061\uff0c\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u304c\u6700\u5927\u3068\u306a\u308b\u7d4c\u8def\u306e\uff0c\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e\u305f\u3060\u3057\uff0c\u3042\u308b\u7d4c\u8def\u306e\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u3068\u306f\uff0c\u7d4c\u8def\u4e0a\u306e\u8857\u304b\u3089\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u307e\u3067\u306e\u79fb\u52d5\u8ddd\u96e2\u306e\u6700\u5c0f\u5024\u306e\u3053\u3068\u3067\u3042\u308b\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u30c7\u30fc\u30bf\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, Q \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0eN \u306f JOI \u56fd\u306e\u8857\u306e\u500b\u6570\u3092\uff0cM \u306f JOI\u56fd\u306e\u9053\u8def\u306e\u672c\u6570\u3092\uff0cK \u306f\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u306e\u500b\u6570\u3092\uff0cQ \u306f\u30af\u30a8\u30ea\u306e\u500b\u6570\u3092\u305d\u308c\u305e\u308c\u8868\u3059\uff0e\u8857\u306b\u306f 1, 2, &middot; &middot; &middot; , 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) \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0ci \u756a\u76ee\u306e\u9053\u8def\u304c\u8857 A<sub>i<\/sub> \u3068\u8857 B<sub>i<\/sub> \u3092\u7d50\u3093\u3067\u304a\u308a\uff0c\u9577\u3055\u304c L<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e\u9053\u8def\u306e\u4e21\u7aef\u304c\u540c\u3058\u8857\u3067\u3042\u308b\u3053\u3068\u306f\u306a\u3044\uff0e\u307e\u305f\uff0c\u4efb\u610f\u306e 2 \u3064\u306e\u8857 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\u8857\u304b\u3089\u3069\u306e\u8857\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\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u306e\u60c5\u5831\u3092\u8868\u3059\uff0ei + M + 1 \u884c\u76ee (1 &le; i &le; K) \u306b\u306f 1 \u3064\u306e\u6574\u6570 F<sub>i<\/sub> (1 &le; F<sub>i<\/sub> &le; N) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\u8857 F<sub>i<\/sub> \u3067\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3059\uff0eF<sub>1<\/sub>, &middot; &middot; &middot; , F<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\t<li>\u7d9a\u304f Q \u884c\u306f\u30af\u30a8\u30ea\u3092\u8868\u3059\uff0ei + M + K + 1 \u884c\u76ee (1 &le; i &le; Q) \u306b\u306f 2 \u3064\u306e\u6574\u6570 S<sub>i<\/sub>, T<sub>i<\/sub> (1 &le; S<sub>i<\/sub> &le; N, 1 &le; T<sub>i<\/sub> &le; N, S<sub>i<\/sub> &ne; T<sub>i<\/sub>) \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f i \u756a\u76ee\u306e\u30af\u30a8\u30ea\u306e\u51fa\u767a\u3059\u308b\u8857\u304c S<sub>i<\/sub> \u3067\u3042\u308a\u884c\u304d\u305f\u3044\u8857\u304c T<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u5236\u9650<\/p>\r\n\r\n<ul>\r\n\t<li>2 &le; N &le; 100000 (= 10<sup>5<\/sup>) JOI \u56fd\u306e\u8857\u306e\u500b\u6570<\/li>\r\n\t<li>1 &le; M &le; 200000 (= 2 &times; 10<sup>5<\/sup>) JOI \u56fd\u306e\u9053\u8def\u306e\u672c\u6570<\/li>\r\n\t<li>1 &le; K &le; N \u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u306e\u500b\u6570<\/li>\r\n\t<li>1 &le; Q &le; 100000 (= 10<sup>5<\/sup>) \u30af\u30a8\u30ea\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","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u5168\u30af\u30a8\u30ea\u3078\u306e\u7b54\u3048\u3092 Q \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e\u3059\u306a\u308f\u3061\uff0ci \u884c\u76ee\u306b\uff0c\u8857 S<sub>i<\/sub> \u304b\u3089\u8857 T<sub>i<\/sub> \u3078\u306e\u3059\u3079\u3066\u306e\u7d4c\u8def\u306e\u3046\u3061\uff0c\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u304c\u6700\u5927\u3068\u306a\u308b\u7d4c\u8def\u306e\uff0c\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u3092\u8868\u3059\u6574\u6570\u3092\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>6 \u3064\u306e\u8857\u304c 6 \u672c\u306e\u9053\u8def\u3067\u7d50\u3070\u308c\u3066\u304a\u308a\uff0c\u304a\u796d\u308a\u306f\u8857 1, 6 \u306e 2 \u3064\u306e\u8857\u3067\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\uff0e\u30af\u30a8\u30ea\u306f\u4ee5\u4e0b\u306e3 \u3064\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u3064\u76ee\u306e\u30af\u30a8\u30ea\u306f\u8857 3 \u304b\u3089\u8857 4 \u3078\u884c\u304f\u3068\u3044\u3046\u3082\u306e\u3067\u3042\u308b\uff0e\u8857 2 \u3092\u7d4c\u7531\u3059\u308b\u7d4c\u8def\u3067\u306f\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u306f 5\uff0c\u8857 5 \u3092\u7d4c\u7531\u3059\u308b\u7d4c\u8def\u3067\u306f\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u306f 7 \u3068\u306a\u308b\u305f\u3081\uff0c\u7b54\u3048\u306f 7 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>2 \u3064\u76ee\u306e\u30af\u30a8\u30ea\u306f\u8857 5 \u304b\u3089\u8857 2 \u3078\u884c\u304f\u3068\u3044\u3046\u3082\u306e\u3067\u3042\u308b\uff0e\u8857 3 \u3068\u8857 4 \u306e\u3069\u3061\u3089\u3092\u7d4c\u7531\u3057\u3066\u3082\uff0c\u8857 2 \u3067\u304a\u796d\u308a\u307e\u3067\u306e\u8ddd\u96e2\u304c\u6700\u5c0f\u3068\u306a\u308a\uff0c\u7b54\u3048\u306f 5 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>3 \u3064\u76ee\u306e\u30af\u30a8\u30ea\u306f\u8857 1 \u304b\u3089\u8857 4 \u3078\u884c\u304f\u3068\u3044\u3046\u3082\u306e\u3067\u3042\u308b\uff0e\u8857 1 \u306f\u304a\u796d\u308a\u304c\u958b\u50ac\u3055\u308c\u3066\u3044\u308b\u8857\u3067\u3042\u308b\u305f\u3081\uff0c\u7b54\u3048\u306f 0 \u3068\u306a\u308b\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images3\/king1.png\" style=\"height:92px; width:391px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u56f3 1: \u5165\u529b\u4f8b 1<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images3\/king2.png\" style=\"height:219px; width:375px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u56f3 2: \u5165\u529b\u4f8b 2<\/p>\r\n","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]

출처

Olympiad > 일본정보올림피아드 > JOI 2012 5번

  • 문제를 번역한 사람: koosaga