시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB32315113050.980%

문제

20XX년에 IOI나라에서 열리는 올림픽 준비의 일환으로 IOI나라에 있는 JOI공원을 정비하기로 했다. JOI공원에는 N개의 광장이 있고, 1부터 N까지 번호가 붙어 있다. 또, 공원에는 광장을 연결하는 M개의 도로가 있고, 1부터 M까지 번호가 붙어있다. 도로 i (1 ≦ i ≦ M)는 광장 Ai와 광장 Bi를 쌍방향으로 연결하며 그 길이는 Di이다. 어떤 광장에서도 한 개 이상의 도로를 통해서 다른 광장으로 가는 것이 가능하다.

정비계획은 다음과 같다. 지하도 설치에 관한 변수 C가 주어진다. 먼저, 0 이상의 정수 X를 고르고 광장 1로부터 거리가 X이하인 광장(광장 1을 포함해서) 모두를 지하도로 연결한다. 단, 광장 i와 광장 j의 거리는 광장 i로부터 광장 j까지 가는 데 걸리는 도로의 길이의 최소로 정의한다. 지하도를 설치하는 데에 드는 전체 비용은 C × X이다.

다음으로, 지하도로 연결된 광장들을 잇는 도로를 전부 철거한다. 도로를 철거하는 데에 비용은 들지 않는다.

마지막으로, 철거되지 않고 남은 도로를 전부 보수한다. 길이 d의 도로를 보수하는데에 드는 비용은 d이다.

정비계획을 실시하기 전, JOI공원에 지하도는 없다. JOI공원에 있는 광장의 정보와 지하도 설치 비용이 주어질 때, JOI공원을 정비하는 데에 드는 비용의 최솟값을 구하는 프로그램을 작성하여라.

입력

표준입력으로 다음의 정보가 주어진다.

  • 첫 번째 줄에는 정수 N, M, C가 공백을 두고 주어진다. 이것은 광장이 N개, 도로가 M개 있고, 지하도 설치에 관한 변수가 C라는 것을 의미한다.
  • 다음 M개 행에서는 정수 Ai, Bi, Di (1 ≦ i ≦ M) 가 공백을 두고 한 줄씩 주어진다. 이것은 도로 i가 광장 Ai와 Bi를 잇고, 그 길이가 Di라는 것을 의미한다.

출력

JOI공원 정비에 드는 비용의 최솟값을 1줄로 출력한다.

제한

  • 2 ≦ N ≦ 100 000.
  • 1 ≦ M ≦ 200 000.
  • 1 ≦ C ≦ 100 000.
  • 1 ≦ Ai ≦ N (1 ≦ i ≦ M).
  • 1 ≦ Bi ≦ N (1 ≦ i ≦ M).
  • Ai ≠ Bi (1 ≦ i ≦ M).
  • (Ai, Bi) ≠ (Aj, Bj) 및 (Ai, Bi) ≠ (Bj, Aj) (1 ≦ i < j ≦ M).
  • 1 ≦ Di ≦ 100 000 (1 ≦ i ≦ M).
  • 어떤 광장에서도 한 개 이상의 도로를 통해서 다른 광장으로 갈 수 있다.

서브태스크 1 (15점)

  • N ≦ 100.
  • M ≦ 200.
  • C ≦ 100.
  • Di ≦ 10 (1 ≦ i ≦ M).

서브태스크 2 (45점)

  • N ≦ 100.
  • M ≦ 4 000.

서브태스크 3 (40점)

추가적인 제약 조건이 없다.

예제 입력 1

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

예제 출력 1

14

이 입력 예제에서는 X = 3으로 하여 광장 1로부터 거리가 3이하가 되는 광장(광장 1, 광장 2, 광장 3)을 전부 지하도로 이었을 경우, 정비하는 데에 드는 비용의 합은 (2 × 3) + (3 + 5) = 14이다. 이것이 최솟값이다.

예제 입력 2

5 4 10
1 2 3
2 3 4
3 4 3
4 5 5

예제 출력 2

15

예제 입력 3

6 5 2
1 2 2
1 3 4
1 4 3
1 5 1
1 6 5

예제 출력 3

10
[{"problem_id":"10715","problem_lang":"0","title":"JOI \uacf5\uc6d0","description":"<p>20XX\ub144\uc5d0 IOI\ub098\ub77c\uc5d0\uc11c \uc5f4\ub9ac\ub294 \uc62c\ub9bc\ud53d \uc900\ube44\uc758 \uc77c\ud658\uc73c\ub85c IOI\ub098\ub77c\uc5d0 \uc788\ub294 JOI\uacf5\uc6d0\uc744 \uc815\ube44\ud558\uae30\ub85c \ud588\ub2e4. JOI\uacf5\uc6d0\uc5d0\ub294 N\uac1c\uc758 \uad11\uc7a5\uc774 \uc788\uace0, 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\ub2e4. \ub610, \uacf5\uc6d0\uc5d0\ub294 \uad11\uc7a5\uc744 \uc5f0\uacb0\ud558\ub294 M\uac1c\uc758 \ub3c4\ub85c\uac00 \uc788\uace0, 1\ubd80\ud130 M\uae4c\uc9c0 \ubc88\ud638\uac00 \ubd99\uc5b4\uc788\ub2e4. \ub3c4\ub85c i (1 \u2266 i \u2266 M)\ub294 \uad11\uc7a5 Ai\uc640 \uad11\uc7a5 Bi\ub97c \uc30d\ubc29\ud5a5\uc73c\ub85c \uc5f0\uacb0\ud558\uba70 \uadf8 \uae38\uc774\ub294 Di\uc774\ub2e4. \uc5b4\ub5a4 \uad11\uc7a5\uc5d0\uc11c\ub3c4 \ud55c \uac1c \uc774\uc0c1\uc758 \ub3c4\ub85c\ub97c \ud1b5\ud574\uc11c \ub2e4\ub978 \uad11\uc7a5\uc73c\ub85c \uac00\ub294 \uac83\uc774 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\uc815\ube44\uacc4\ud68d\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. \uc9c0\ud558\ub3c4 \uc124\uce58\uc5d0 \uad00\ud55c \ubcc0\uc218 C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uba3c\uc800, 0 \uc774\uc0c1\uc758 \uc815\uc218 X\ub97c \uace0\ub974\uace0 \uad11\uc7a5 1\ub85c\ubd80\ud130 \uac70\ub9ac\uac00 X\uc774\ud558\uc778 \uad11\uc7a5(\uad11\uc7a5 1\uc744 \ud3ec\ud568\ud574\uc11c) \ubaa8\ub450\ub97c \uc9c0\ud558\ub3c4\ub85c \uc5f0\uacb0\ud55c\ub2e4. \ub2e8, \uad11\uc7a5 i\uc640 \uad11\uc7a5 j\uc758 \uac70\ub9ac\ub294 \uad11\uc7a5 i\ub85c\ubd80\ud130 \uad11\uc7a5 j\uae4c\uc9c0 \uac00\ub294 \ub370 \uac78\ub9ac\ub294 \ub3c4\ub85c\uc758 \uae38\uc774\uc758 \ucd5c\uc18c\ub85c \uc815\uc758\ud55c\ub2e4. \uc9c0\ud558\ub3c4\ub97c \uc124\uce58\ud558\ub294 \ub370\uc5d0 \ub4dc\ub294 \uc804\uccb4 \ube44\uc6a9\uc740 C &times; X\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c\uc73c\ub85c, \uc9c0\ud558\ub3c4\ub85c \uc5f0\uacb0\ub41c \uad11\uc7a5\ub4e4\uc744 \uc787\ub294 \ub3c4\ub85c\ub97c \uc804\ubd80 \ucca0\uac70\ud55c\ub2e4. \ub3c4\ub85c\ub97c \ucca0\uac70\ud558\ub294 \ub370\uc5d0 \ube44\uc6a9\uc740 \ub4e4\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9\uc73c\ub85c, \ucca0\uac70\ub418\uc9c0 \uc54a\uace0 \ub0a8\uc740 \ub3c4\ub85c\ub97c \uc804\ubd80 \ubcf4\uc218\ud55c\ub2e4. \uae38\uc774 d\uc758 \ub3c4\ub85c\ub97c \ubcf4\uc218\ud558\ub294\ub370\uc5d0 \ub4dc\ub294 \ube44\uc6a9\uc740 d\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc815\ube44\uacc4\ud68d\uc744 \uc2e4\uc2dc\ud558\uae30 \uc804, JOI\uacf5\uc6d0\uc5d0 \uc9c0\ud558\ub3c4\ub294 \uc5c6\ub2e4. JOI\uacf5\uc6d0\uc5d0 \uc788\ub294 \uad11\uc7a5\uc758 \uc815\ubcf4\uc640 \uc9c0\ud558\ub3c4 \uc124\uce58 \ube44\uc6a9\uc774 \uc8fc\uc5b4\uc9c8 \ub54c, JOI\uacf5\uc6d0\uc744 \uc815\ube44\ud558\ub294 \ub370\uc5d0 \ub4dc\ub294 \ube44\uc6a9\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec\ub77c.<\/p>\r\n","input":"<p>\ud45c\uc900\uc785\ub825\uc73c\ub85c \ub2e4\uc74c\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \uc815\uc218 N, M, C\uac00 \uacf5\ubc31\uc744 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\uac83\uc740 \uad11\uc7a5\uc774 N\uac1c, \ub3c4\ub85c\uac00 M\uac1c \uc788\uace0, \uc9c0\ud558\ub3c4 \uc124\uce58\uc5d0 \uad00\ud55c \ubcc0\uc218\uac00 C\ub77c\ub294 \uac83\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n\t<li>\ub2e4\uc74c M\uac1c \ud589\uc5d0\uc11c\ub294 \uc815\uc218 A<sub>i<\/sub>, B<sub>i<\/sub>, D<sub>i<\/sub> (1 \u2266 i \u2266 M) \uac00 \uacf5\ubc31\uc744 \ub450\uace0 \ud55c \uc904\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\uac83\uc740 \ub3c4\ub85c i\uac00 \uad11\uc7a5 A<sub>i<\/sub>\uc640 B<sub>i<\/sub>\ub97c \uc787\uace0, \uadf8 \uae38\uc774\uac00 D<sub>i<\/sub>\ub77c\ub294 \uac83\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>JOI\uacf5\uc6d0 \uc815\ube44\uc5d0 \ub4dc\ub294 \ube44\uc6a9\uc758 \ucd5c\uc19f\uac12\uc744 1\uc904\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>2 \u2266 N \u2266 100 000.<\/li>\r\n\t<li>1 \u2266 M \u2266 200 000.<\/li>\r\n\t<li>1 \u2266 C \u2266 100 000.<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub> \u2266 N (1 \u2266 i \u2266 M).<\/li>\r\n\t<li>1 \u2266 B<sub>i<\/sub> \u2266 N (1 \u2266 i \u2266 M).<\/li>\r\n\t<li>A<sub>i<\/sub> &ne; B<sub>i<\/sub> (1 \u2266 i \u2266 M).<\/li>\r\n\t<li>(A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (A<sub>j<\/sub>, B<sub>j<\/sub>) \ubc0f (A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (B<sub>j<\/sub>, A<sub>j<\/sub>) (1 \u2266 i &lt; j \u2266 M).<\/li>\r\n\t<li>1 \u2266 D<sub>i<\/sub> \u2266 100 000 (1 \u2266 i \u2266 M).<\/li>\r\n\t<li>\uc5b4\ub5a4 \uad11\uc7a5\uc5d0\uc11c\ub3c4 \ud55c \uac1c \uc774\uc0c1\uc758 \ub3c4\ub85c\ub97c \ud1b5\ud574\uc11c \ub2e4\ub978 \uad11\uc7a5\uc73c\ub85c \uac08 \uc218 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N \u2266 100.<\/li>\r\n\t<li>M \u2266 200.<\/li>\r\n\t<li>C \u2266 100.<\/li>\r\n\t<li>D<sub>i<\/sub> \u2266 10 (1 \u2266 i \u2266 M).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N \u2266 100.<\/li>\r\n\t<li>M \u2266 4 000.<\/li>\r\n<\/ul>\r\n","subtask3":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","sample_explain_1":"<p>\uc774 \uc785\ub825 \uc608\uc81c\uc5d0\uc11c\ub294 X = 3\uc73c\ub85c \ud558\uc5ec \uad11\uc7a5 1\ub85c\ubd80\ud130 \uac70\ub9ac\uac00 3\uc774\ud558\uac00 \ub418\ub294 \uad11\uc7a5(\uad11\uc7a5 1, \uad11\uc7a5 2, \uad11\uc7a5 3)\uc744 \uc804\ubd80 \uc9c0\ud558\ub3c4\ub85c \uc774\uc5c8\uc744 \uacbd\uc6b0, \uc815\ube44\ud558\ub294 \ub370\uc5d0 \ub4dc\ub294 \ube44\uc6a9\uc758 \ud569\uc740 (2 &times; 3) + (3 + 5) = 14\uc774\ub2e4. \uc774\uac83\uc774 \ucd5c\uc19f\uac12\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"10715","problem_lang":"2","title":"JOI \u516c\u5712 (JOI Park)","description":"<p>20XX \u5e74\u306b IOI \u56fd\u3067\u884c\u308f\u308c\u308b\u30aa\u30ea\u30f3\u30d4\u30c3\u30af\u306b\u5099\u3048\uff0cIOI \u56fd\u306b\u3042\u308b JOI \u516c\u5712\u3092\u6574\u5099\u3059\u308b\u3053\u3068\u306b\u306a\u3063\u305f\uff0eJOI\u516c\u5712\u306b\u306f N \u500b\u306e\u5e83\u5834\u304c\u3042\u308a\uff0c\u5e83\u5834\u306b\u306f 1 \u304b\u3089 N \u306e\u756a\u53f7\u304c\u3064\u3044\u3066\u3044\u308b\uff0e\u5e83\u5834\u3092\u7e4b\u3050 M \u672c\u306e\u9053\u304c\u3042\u308a\uff0c\u9053\u306b\u306f 1 \u304b\u3089 M \u306e\u756a\u53f7\u304c\u3064\u3044\u3066\u3044\u308b\uff0e\u9053 i (1 \u2266 i \u2266 M) \u306f\u5e83\u5834 Ai \u3068\u5e83\u5834 Bi \u3092\u53cc\u65b9\u5411\u306b\u7e4b\u3044\u3067\u304a\u308a\uff0c\u9577\u3055\u306f Di \u3067\u3042\u308b\uff0e\u3069\u306e\u5e83\u5834\u304b\u3089\u3069\u306e\u5e83\u5834\u3078\u3082\u3044\u304f\u3064\u304b\u306e\u9053\u3092\u8fbf\u3063\u3066\u884c\u304f\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<\/p>\r\n\r\n<p>\u6574\u5099\u8a08\u753b\u3067\u306f\uff0c\u307e\u305a\uff0c0 \u4ee5\u4e0a\u306e\u6574\u6570 X \u3092\u9078\u3073\uff0c\u5e83\u5834 1 \u304b\u3089\u306e\u8ddd\u96e2\u304c X \u4ee5\u4e0b\u3067\u3042\u308b\u3088\u3046\u306a\u5e83\u5834 (\u5e83\u5834 1 \u3092\u542b\u3080) \u3069\u3046\u3057\u3092\u3059\u3079\u3066\u76f8\u4e92\u306b\u5730\u4e0b\u9053\u3067\u7d50\u3076\uff0e\u305f\u3060\u3057\uff0c\u5e83\u5834 i \u3068\u5e83\u5834 j \u306e\u8ddd\u96e2\u3068\u306f\uff0c\u5e83\u5834 i \u304b\u3089\u5e83\u5834 j \u306b\u884c\u304f\u3068\u304d\u306b\u901a\u308b\u9053\u306e\u9577\u3055\u306e\u548c\u306e\u6700\u5c0f\u5024\u3067\u3042\u308b\uff0e\u6574\u5099\u8a08\u753b\u3067\u306f\u5730\u4e0b\u9053\u306e\u6574\u5099\u30b3\u30b9\u30c8\u306b\u95a2\u3059\u308b\u6574\u6570 C \u304c\u5b9a\u307e\u3063\u3066\u3044\u308b\uff0e\u5730\u4e0b\u9053\u306e\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306f C &times; X \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u6b21\u306b\uff0c\u5730\u4e0b\u9053\u3067\u7d50\u3070\u308c\u305f\u5e83\u5834\u3069\u3046\u3057\u3092\u7d50\u3076\u9053\u3092\u3059\u3079\u3066\u64a4\u53bb\u3059\u308b\uff0e\u9053\u306e\u64a4\u53bb\u306b\u30b3\u30b9\u30c8\u306f\u304b\u304b\u3089\u306a\u3044\uff0e<\/p>\r\n\r\n<p>\u6700\u5f8c\u306b\uff0c\u64a4\u53bb\u3055\u308c\u305a\u306b\u6b8b\u3063\u305f\u9053\u3092\u3059\u3079\u3066\u88dc\u4fee\u3059\u308b\uff0e\u9577\u3055 d \u306e\u9053\u3092\u88dc\u4fee\u3059\u308b\u305f\u3081\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306f d \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u6574\u5099\u8a08\u753b\u5b9f\u65bd\u524d\u306e JOI \u516c\u5712\u306b\u306f\u5730\u4e0b\u9053\u306f\u306a\u3044\uff0eJOI \u516c\u5712\u306e\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3088\uff0e<\/p>\r\n\r\n<p>JOI \u516c\u5712\u306e\u5e83\u5834\u306e\u60c5\u5831\u3068\uff0c\u5730\u4e0b\u9053\u306e\u6574\u5099\u30b3\u30b9\u30c8\u306b\u95a2\u3059\u308b\u6574\u6570\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0cJOI \u516c\u5712\u306e\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e&#39;<\/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\uff0c\u6574\u6570 N, M,C \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u5e83\u5834\u304c N \u500b\uff0c\u9053\u304c M \u672c\u3042\u308a\uff0c\u5730\u4e0b\u9053\u306e\u6574\u5099\u30b3\u30b9\u30c8\u306b\u95a2\u3059\u308b\u6574\u6570\u304c C \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>\u7d9a\u304f M \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 M) \u306b\u306f\uff0c\u6574\u6570 A<sub>i<\/sub>, B<sub>i<\/sub>, D<sub>i<\/sub> \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u9053 i \u304c\u5e83\u5834 A<sub>i<\/sub> \u3068\u5e83\u5834 B<sub>i<\/sub> \u3092\u7e4b\u304e\uff0c\u9577\u3055\u304c D<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0cJOI \u516c\u5712\u306e\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u306e\u6700\u5c0f\u5024\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Japanese","limit":"<ul>\r\n\t<li>2 \u2266 N \u2266 100 000\uff0e<\/li>\r\n\t<li>1 \u2266 M \u2266 200 000\uff0e<\/li>\r\n\t<li>1 \u2266 C \u2266 100 000\uff0e<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub> \u2266 N (1 \u2266 i \u2266 M)\uff0e<\/li>\r\n\t<li>1 \u2266 B<sub>i<\/sub> \u2266 N (1 \u2266 i \u2266 M)\uff0e<\/li>\r\n\t<li>A<sub>i<\/sub> &ne; B<sub>i<\/sub> (1 \u2266 i \u2266 M)\uff0e<\/li>\r\n\t<li>(A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (A<sub>j<\/sub>, B<sub>j<\/sub>) \u304a\u3088\u3073 (A<sub>i<\/sub>, B<sub>i<\/sub>) &ne; (B<sub>j<\/sub>, A<sub>j<\/sub>) (1 \u2266 i &lt; j \u2266 M)\uff0e<\/li>\r\n\t<li>1 \u2266 D<sub>i<\/sub> \u2266 100 000 (1 \u2266 i \u2266 M)\uff0e<\/li>\r\n\t<li>\u4e0e\u3048\u3089\u308c\u308b\u5165\u529b\u30c7\u30fc\u30bf\u306b\u304a\u3044\u3066\u306f\uff0c\u3069\u306e\u5e83\u5834\u304b\u3089\u3069\u306e\u5e83\u5834\u3078\u3082\u3044\u304f\u3064\u304b\u306e\u9053\u3092\u8fbf\u308b\u3053\u3068\u306b\u3088\u308a\u884c\u3051\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N \u2266 100\uff0e<\/li>\r\n\t<li>M \u2266 200\uff0e<\/li>\r\n\t<li>C \u2266 100\uff0e<\/li>\r\n\t<li>D<sub>i<\/sub> \u2266 10 (1 \u2266 i \u2266 M)\uff0e<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N \u2266 100\uff0e<\/li>\r\n\t<li>M \u2266 4 000\uff0e<\/li>\r\n<\/ul>\r\n","subtask3":"<p>\u8ffd\u52a0\u306e\u5236\u9650\u306f\u306a\u3044\uff0e<\/p>\r\n","sample_explain_1":"<p>\u3053\u306e\u5165\u529b\u4f8b\u3067\u306f\uff0cX = 3 \u3068\u3057\u3066\uff0c\u5e83\u5834 1 \u304b\u3089\u306e\u8ddd\u96e2\u304c 3 \u4ee5\u4e0b\u3067\u3042\u308b\u3088\u3046\u306a\u5e83\u5834 (\u5e83\u5834 1, \u5e83\u5834 2, \u5e83\u5834 3) \u3069 \u3046\u3057\u3092\u3059\u3079\u3066\u76f8\u4e92\u306b\u5730\u4e0b\u9053\u3067\u7d50\u3093\u3060\u3068\u304d\uff0c\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u306f 2 &times; 3 + 3 + 5 = 14 \u3068\u306a\u308b\uff0e\u3053\u308c\u304c\u6700 \u5c0f\u5024\u3067\u3042\u308b\uff0e<\/p>\r\n","sample_explain_2":"<p>\u3053\u306e\u5165\u529b\u4f8b\u3067\u306f\uff0cX = 0 \u306e\u3068\u304d\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u304c\u6700\u5c0f\u306b\u306a\u308b\uff0e<\/p>\r\n","sample_explain_3":"<p>\u3053\u306e\u5165\u529b\u4f8b\u3067\u306f\uff0cX = 5 \u3068\u3057\u3066\u3059\u3079\u3066\u306e\u5e83\u5834\u3092\u76f8\u4e92\u306b\u5730\u4e0b\u9053\u3067\u7d50\u3093\u3060\u3068\u304d\uff0c\u6574\u5099\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u306e\u548c\u304c \u6700\u5c0f\u306b\u306a\u308b\uff0e<\/p>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2015 3번

채점 및 기타 정보

  • 예제는 채점하지 않는다.