시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

구사과의 방에는 난로가 하나 있다. 구사과는 절약 정신이 투철하기 때문에, 방에 혼자 있을 때는 난로를 되도록 켜지 않는다. 구사과는 방에 친구가 왔을 때는 항상 난로를 켠다.

오늘은 N명의 친구들이 구사과의 집에 방문하는 날이다. 구사과는 친구들을 쉽게 구분하기 위해 1부터 N까지 번호를 매겼다. i번째 친구는 구사과의 방에 시간 Ti에 도착하고, 시간 Ti+1에 나간다. 구사과의 방은 좁기 때문에, 한 번에 한 명만 방문할 수 있다. 즉, 방안에는 항상 구사과를 포함해 2명 이하의 사람만 있게 된다.

구사과는 난로를 아무 때나 켤 수 있고, 끌 수 있다. 난로를 켜려면 성냥을 이용해야 한다. 오늘 구사과는 총 K개의 성냥을 가지고 있다. 따라서, 최대 K번 난로를 켤 수 있다. 가장 처음에 난로는 꺼져있다.

구사과는 난로가 켜져 있는 시간을 최소로 하려고 한다. 구사과의 친구들이 도착하는 시간과 가지고 있는 성냥의 개수가 주어졌을 때, 난로가 켜져 있는 시간의 최솟값을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 구사과의 집을 방문하는 친구의 수 N (1 ≤ N ≤ 100,000), 구사과가 가지고 있는 성냥의 개수 K (1 ≤ K ≤ N)이 주어진다.

둘째 줄부터 N개의 줄에는 구사과의 집을 방문하는 친구의 도착 시간 Ti가 i가 증가하는 순서대로 주어진다. (1 ≤ Ti ≤ 1,000,000,000) 동시에 두 명이 방문하는 경우는 없기 때문에, 모든 1 ≤ i ≤ N-1에 대해서 Ti < Ti+1 를 만족한다.

출력

첫째 줄에 난로가 켜져 있는 시간의 최솟값을 출력한다.

서브태스크 1 (20점)

  • N ≤ 20.
  • 1 ≤ Ti ≤ 20 (1 ≤ i ≤ N).

서브태스크 2 (30점)

  • N ≤ 5000.

서브태스크 3 (50점)

  • 추가적인 제약 조건이 없다.

예제 입력 1

3 2
1
3
6

예제 출력 1

4

예제 입력 2

3 1
1
2
6

예제 출력 2

6

예제 입력 3

3 3
1
3
6

예제 출력 3

3

예제 입력 4

10 5
1
2
5
6
8
11
13
15
16
20

예제 출력 4

12

힌트

첫 번째 예제의 경우에는 3명의 친구가 방문한다. 아래와 같이 난로를 켜고 끄면 난로가 켜져 있는 시간이 최소가 된다. 이때, 난로가 켜져 있는 시간은 (4 − 1) + (7 − 6) = 4 이다.

  • 첫 번째 친구가 도착하는 시간 1이 되었을 때, 난로를 켠다.
  • 두 번째 친구가 나가는 시간 4가 되었을 때, 난로를 끈다.
  • 세 번째 친구가 도착하는 시간 6이 되었을 때, 난로를 켠다.
  • 세 번째 친구가 나가는 시간 7가 되었을 때, 난로를 끈다.

두 번째 예제의 경우에는 난로를 오직 한 번만 켤 수 있다. 따라서, 첫 번째 친구가 도착하는 시간 1에 난로를 켜고, 세 번째 친구가 나가는 시간 7에 난로를 꺼야 한다. 한 친구가 나가는 시간과 다른 친구가 도착하는 시간이 같을 수도 있다.

예제 3의 경우에는 친구가 도착할 때마다 난로를 켜고, 나갈 때 마다 난로를 끌 수 있다.

[{"problem_id":"15553","problem_lang":"0","title":"\ub09c\ub85c","description":"<p>\uad6c\uc0ac\uacfc\uc758 \ubc29\uc5d0\ub294 \ub09c\ub85c\uac00 \ud558\ub098 \uc788\ub2e4. \uad6c\uc0ac\uacfc\ub294 \uc808\uc57d \uc815\uc2e0\uc774 \ud22c\ucca0\ud558\uae30 \ub54c\ubb38\uc5d0, \ubc29\uc5d0 \ud63c\uc790 \uc788\uc744 \ub54c\ub294 \ub09c\ub85c\ub97c \ub418\ub3c4\ub85d \ucf1c\uc9c0 \uc54a\ub294\ub2e4. \uad6c\uc0ac\uacfc\ub294 \ubc29\uc5d0 \uce5c\uad6c\uac00 \uc654\uc744 \ub54c\ub294 \ud56d\uc0c1&nbsp;\ub09c\ub85c\ub97c \ucf20\ub2e4.<\/p>\r\n\r\n<p>\uc624\ub298\uc740 N\uba85\uc758 \uce5c\uad6c\ub4e4\uc774 \uad6c\uc0ac\uacfc\uc758 \uc9d1\uc5d0 \ubc29\ubb38\ud558\ub294 \ub0a0\uc774\ub2e4. \uad6c\uc0ac\uacfc\ub294 \uce5c\uad6c\ub4e4\uc744 \uc27d\uac8c \uad6c\ubd84\ud558\uae30 \uc704\ud574 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\ub97c \ub9e4\uacbc\ub2e4. i\ubc88\uc9f8 \uce5c\uad6c\ub294 \uad6c\uc0ac\uacfc\uc758 \ubc29\uc5d0 \uc2dc\uac04 T<sub>i<\/sub>\uc5d0 \ub3c4\ucc29\ud558\uace0, \uc2dc\uac04 T<sub>i<\/sub>+1\uc5d0 \ub098\uac04\ub2e4. \uad6c\uc0ac\uacfc\uc758 \ubc29\uc740 \uc881\uae30 \ub54c\ubb38\uc5d0, \ud55c \ubc88\uc5d0 \ud55c \uba85\ub9cc \ubc29\ubb38\ud560 \uc218 \uc788\ub2e4.&nbsp;\uc989, \ubc29\uc548\uc5d0\ub294 \ud56d\uc0c1 \uad6c\uc0ac\uacfc\ub97c \ud3ec\ud568\ud574 2\uba85 \uc774\ud558\uc758 \uc0ac\ub78c\ub9cc \uc788\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uad6c\uc0ac\uacfc\ub294 \ub09c\ub85c\ub97c \uc544\ubb34 \ub54c\ub098 \ucf24 \uc218 \uc788\uace0, \ub04c \uc218 \uc788\ub2e4. \ub09c\ub85c\ub97c \ucf1c\ub824\uba74 \uc131\ub0e5\uc744 \uc774\uc6a9\ud574\uc57c \ud55c\ub2e4. \uc624\ub298 \uad6c\uc0ac\uacfc\ub294 \ucd1d K\uac1c\uc758 \uc131\ub0e5\uc744 \uac00\uc9c0\uace0 \uc788\ub2e4. \ub530\ub77c\uc11c, \ucd5c\ub300 K\ubc88 \ub09c\ub85c\ub97c \ucf24 \uc218 \uc788\ub2e4. \uac00\uc7a5 \ucc98\uc74c\uc5d0 \ub09c\ub85c\ub294 \uaebc\uc838\uc788\ub2e4.<\/p>\r\n\r\n<p>\uad6c\uc0ac\uacfc\ub294 \ub09c\ub85c\uac00 \ucf1c\uc838 \uc788\ub294 \uc2dc\uac04\uc744 \ucd5c\uc18c\ub85c \ud558\ub824\uace0 \ud55c\ub2e4. \uad6c\uc0ac\uacfc\uc758 \uce5c\uad6c\ub4e4\uc774 \ub3c4\ucc29\ud558\ub294 \uc2dc\uac04\uacfc \uac00\uc9c0\uace0 \uc788\ub294 \uc131\ub0e5\uc758 \uac1c\uc218\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub09c\ub85c\uac00 \ucf1c\uc838 \uc788\ub294 \uc2dc\uac04\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uad6c\uc0ac\uacfc\uc758 \uc9d1\uc744 \ubc29\ubb38\ud558\ub294 \uce5c\uad6c\uc758 \uc218 N (1 &le; N &le; 100,000), \uad6c\uc0ac\uacfc\uac00 \uac00\uc9c0\uace0 \uc788\ub294 \uc131\ub0e5\uc758 \uac1c\uc218 K (1 &le; K &le; N)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 N\uac1c\uc758 \uc904\uc5d0\ub294 \uad6c\uc0ac\uacfc\uc758 \uc9d1\uc744 \ubc29\ubb38\ud558\ub294 \uce5c\uad6c\uc758 \ub3c4\ucc29 \uc2dc\uac04 T<sub>i<\/sub>\uac00 i\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; T<sub>i<\/sub> &le; 1,000,000,000) \ub3d9\uc2dc\uc5d0 \ub450 \uba85\uc774 \ubc29\ubb38\ud558\ub294 \uacbd\uc6b0\ub294 \uc5c6\uae30 \ub54c\ubb38\uc5d0, \ubaa8\ub4e0 1 &le; i &le; N-1\uc5d0 \ub300\ud574\uc11c T<sub>i<\/sub> &lt; T<sub>i+1<\/sub> \ub97c \ub9cc\uc871\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub09c\ub85c\uac00 \ucf1c\uc838 \uc788\ub294 \uc2dc\uac04\uc758 \ucd5c\uc19f\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uccab \ubc88\uc9f8 \uc608\uc81c\uc758 \uacbd\uc6b0\uc5d0\ub294 3\uba85\uc758 \uce5c\uad6c\uac00 \ubc29\ubb38\ud55c\ub2e4. \uc544\ub798\uc640 \uac19\uc774 \ub09c\ub85c\ub97c \ucf1c\uace0 \ub044\uba74 \ub09c\ub85c\uac00 \ucf1c\uc838 \uc788\ub294 \uc2dc\uac04\uc774 \ucd5c\uc18c\uac00 \ub41c\ub2e4. \uc774\ub54c, \ub09c\ub85c\uac00 \ucf1c\uc838 \uc788\ub294 \uc2dc\uac04\uc740&nbsp;(4 &minus; 1) + (7 &minus; 6) = 4&nbsp;\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub3c4\ucc29\ud558\ub294 \uc2dc\uac04 1\uc774 \ub418\uc5c8\uc744 \ub54c, \ub09c\ub85c\ub97c \ucf20\ub2e4.<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub098\uac00\ub294 \uc2dc\uac04 4\uac00 \ub418\uc5c8\uc744 \ub54c, \ub09c\ub85c\ub97c \ub048\ub2e4.<\/li>\r\n\t<li>\uc138 \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub3c4\ucc29\ud558\ub294 \uc2dc\uac04 6\uc774 \ub418\uc5c8\uc744 \ub54c, \ub09c\ub85c\ub97c \ucf20\ub2e4.<\/li>\r\n\t<li>\uc138 \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub098\uac00\ub294 \uc2dc\uac04 7\uac00 \ub418\uc5c8\uc744 \ub54c, \ub09c\ub85c\ub97c \ub048\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc608\uc81c\uc758 \uacbd\uc6b0\uc5d0\ub294 \ub09c\ub85c\ub97c \uc624\uc9c1 \ud55c \ubc88\ub9cc \ucf24 \uc218 \uc788\ub2e4. \ub530\ub77c\uc11c, \uccab \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub3c4\ucc29\ud558\ub294 \uc2dc\uac04 1\uc5d0 \ub09c\ub85c\ub97c \ucf1c\uace0, \uc138 \ubc88\uc9f8 \uce5c\uad6c\uac00 \ub098\uac00\ub294 \uc2dc\uac04 7\uc5d0 \ub09c\ub85c\ub97c \uaebc\uc57c \ud55c\ub2e4. \ud55c \uce5c\uad6c\uac00 \ub098\uac00\ub294 \uc2dc\uac04\uacfc \ub2e4\ub978 \uce5c\uad6c\uac00 \ub3c4\ucc29\ud558\ub294 \uc2dc\uac04\uc774 \uac19\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c 3\uc758 \uacbd\uc6b0\uc5d0\ub294 \uce5c\uad6c\uac00 \ub3c4\ucc29\ud560 \ub54c\ub9c8\ub2e4 \ub09c\ub85c\ub97c \ucf1c\uace0, \ub098\uac08 \ub54c \ub9c8\ub2e4 \ub09c\ub85c\ub97c \ub04c \uc218 \uc788\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<ul>\r\n\t<li>N &le; 20.<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub> &le; 20 (1 &le; i &le; N).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N &le; 5000.<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n"},{"problem_id":"15553","problem_lang":"1","title":"Stove","description":"<p>There is a stove in JOI-kun&rsquo;s room. Since JOI-kun gets used to the cold temperature, he does not need to turn on the stove when he is alone in his room. But, when there is a guest, he needs to turn on the stove.<\/p>\r\n\r\n<p>One day, N guests will visit JOI-kun. The i-th guest (1 &le; i &le; N) will arrive at time T<sub>i<\/sub>, and leave at time T<sub>i<\/sub> + 1. At most one guest visits JOI-kun at any time.<\/p>\r\n\r\n<p>JOI-kun can turn on the stove or turn off the stove at any time. JOI-kun uses a match when he turns on the stove. JOI-kun has K matches only. Hence he can turn on the stove at most K times. In the beginning of the day, the stove is turned off.<\/p>\r\n\r\n<p>When the stove is turned on, it needs fuel. Therefore, JOI-kun controls when he turns on or turns off the stove, and he wants to minimize the total operating time of the stove.<\/p>\r\n\r\n<p>Given the data of the guests visiting JOI-kun and the number of matches JOI-kun has, write a program which calculates the minimum of the total operating time of the stove.<\/p>\r\n","input":"<p>Read the following data from the standard input.<\/p>\r\n\r\n<ul>\r\n\t<li>The first line of input contains two space separated integers N, K. This means N guests will visit JOI-kun, and JOI-kun has K matches.<\/li>\r\n\t<li>The i-th line (1 &le; i &le; N) of the following N lines contains an integer T<sub>i<\/sub>. This means the i-th guest (1 &le; i &le; N) will arrive at time T<sub>i<\/sub>, and leave at time T<sub>i<\/sub> + 1.<\/li>\r\n<\/ul>\r\n","output":"<p>Write one line to the standard output. The output should contain the minimum of the total operating time of the stove.<\/p>\r\n","hint":"<p>In this sample input 1, three guests will visit JOI-kun. If he turns on and turns off the stove in the following way, then the stove is turned on when a guest is visiting, he turns on the stove twice, and the total operating time of the stove is (4 &minus; 1) + (7 &minus; 6) = 4.<\/p>\r\n\r\n<ul>\r\n\t<li>He turns on the stove at time 1 when the first guest comes.<\/li>\r\n\t<li>He turns off the stove at time 4 when the second guest leaves.<\/li>\r\n\t<li>He turns on the stove at time 6 when the third guest comes.<\/li>\r\n\t<li>He turns off the stove at time 7 when the third guest leaves.<\/li>\r\n<\/ul>\r\n\r\n<p>Since the total operating time of the stove cannot be less than 4, output 4.<\/p>\r\n\r\n<p>In this sample input 2, JOI-kun can turn on the stove only once. Therefore, he turns on the stove at time 1 when the first guest comes, and he turns off the stove at time 7 when the third guest leaves.<\/p>\r\n\r\n<p>Note that the time when a guest leaves can be the same as the time when the next guest comes.<\/p>\r\n\r\n<p>In this sample input 3, JOI-kun turns on the stove when each guest comes, and he turns off the stove when each guest leaves.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; N &le; 100 000.<\/li>\r\n\t<li>1 &le; K &le; N.<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub> &le; 1 000 000 000 (1 &le; i &le; N).<\/li>\r\n\t<li>T<sub>i<\/sub> &lt; T<sub>i+1<\/sub> (1 &le; i &le; N &minus; 1).<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N &le; 20.<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub> &le; 20 (1 &le; i &le; N).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N &le; 5000.<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li>There are no additional constraints.<\/li>\r\n<\/ul>\r\n"},{"problem_id":"15553","problem_lang":"2","title":"\u30b9\u30c8\u30fc\u30d6","description":"<p>JOI \u541b\u306e\u90e8\u5c4b\u306b\u306f\u30b9\u30c8\u30fc\u30d6\u304c\u3042\u308b\uff0eJOI \u541b\u81ea\u8eab\u306f\u5bd2\u3055\u306b\u5f37\u3044\u306e\u3067\u3072\u3068\u308a\u3067\u90e8\u5c4b\u306b\u3044\u308b\u3068\u304d\u306f\u30b9\u30c8\u30fc\u30d6\u3092\u3064 \u3051\u308b\u5fc5\u8981\u306f\u306a\u3044\u304c\uff0c\u6765\u5ba2\u304c\u3042\u308b\u3068\u304d\u306f\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u3053\u306e\u65e5\uff0cJOI \u541b\u306e\u3082\u3068\u306b\u306f N \u4eba\u306e\u6765\u5ba2\u304c\u3042\u308b\uff0ei \u756a\u76ee (1 \u2266 i \u2266 N) \u306e\u6765\u5ba2\u306f\u6642\u523b T<sub>i<\/sub> \u306b\u5230\u7740\u3057\uff0c\u6642\u523b Ti + 1 \u306b\u9000\u51fa\u3059\u308b\uff0e\u540c\u6642\u306b\u8907\u6570\u4eba\u306e\u6765\u5ba2\u304c\u3042\u308b\u3053\u3068\u306f\u306a\u3044\uff0e<\/p>\r\n\r\n<p>JOI \u541b\u306f\u4efb\u610f\u306e\u6642\u523b\u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u305f\u308a\u6d88\u3057\u305f\u308a\u3067\u304d\u308b\uff0e\u305f\u3060\u3057\uff0c\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\u5ea6\u306b\u30de\u30c3\u30c1\u3092 1 \u672c\u6d88\u8cbb\u3059\u308b\uff0eJOI \u541b\u306f\u30de\u30c3\u30c1\u3092 K \u672c\u3057\u304b\u6301\u3063\u3066\u3044\u306a\u3044\u306e\u3067\uff0cK \u56de\u307e\u3067\u3057\u304b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u306a \u3044\uff0e\u4e00\u65e5\u306e\u306f\u3058\u3081\u306b\u30b9\u30c8\u30fc\u30d6\u306f\u6d88\u3048\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u3066\u3044\u308b\u3068\u305d\u306e\u5206\u3060\u3051\u71c3\u6599\u3092\u6d88\u8cbb\u3059\u308b\u306e\u3067\uff0c\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u305f\u308a\u6d88\u3057\u305f\u308a\u3059\u308b\u6642\u523b\u3092\u3046\u307e \u304f\u5b9a\u3081\u3066\uff0c\u30b9\u30c8\u30fc\u30d6\u304c\u3064\u3044\u3066\u3044\u308b\u6642\u9593\u306e\u5408\u8a08\u3092\u6700\u5c0f\u5316\u3057\u305f\u3044\uff0e<\/p>\r\n\r\n<p>JOI \u541b\u306e\u90e8\u5c4b\u3078\u306e\u6765\u5ba2\u306e\u60c5\u5831\u3068\uff0cJOI \u541b\u306e\u6301\u3063\u3066\u3044\u308b\u30de\u30c3\u30c1\u306e\u672c\u6570\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u30b9\u30c8\u30fc\u30d6\u304c\u3064\u3044\u3066 \u3044\u308b\u6642\u9593\u306e\u5408\u8a08\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3088\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\uff0c2 \u3064\u306e\u6574\u6570 N, K \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0cJOI \u541b\u306e\u90e8\u5c4b\u306b N \u4eba\u306e \u6765\u5ba2\u304c\u3042\u308a\uff0cJOI \u541b\u306f K \u672c\u306e\u30de\u30c3\u30c1\u3092\u6301\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>\u7d9a\u304f N \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 N) \u306b\u306f\uff0c\u6574\u6570 T<sub>i<\/sub> \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0ci \u756a\u76ee\u306e\u6765\u5ba2\u304c\u6642\u523b T<sub>i<\/sub> \u306b\u5230\u7740\u3057\uff0c\u6642\u523b T<sub>i<\/sub> + 1 \u306b\u9000\u51fa\u3059\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u30b9\u30c8\u30fc\u30d6\u304c\u3064\u3044\u3066\u3044\u308b\u6642\u9593\u306e\u5408\u8a08\u306e\u6700\u5c0f\u5024\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u3053\u306e\u5165\u529b\u4f8b1\u3067\u306f\uff0cJOI \u541b\u306e\u90e8\u5c4b\u3078\u306e\u6765\u5ba2\u304c 3 \u4eba\u3042\u308b\uff0e\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u305f\u308a\u6d88\u3057\u305f\u308a\u3059\u308b\u3068\uff0c \u6765\u5ba2\u304c\u3042\u308b\u9593\u306f\u30b9\u30c8\u30fc\u30d6\u304c\u3064\u3044\u3066\u304a\u308a\uff0c\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\u56de\u6570\u306f 2 \u56de\u3067\u3042\u308a\uff0c\u30b9\u30c8\u30fc\u30d6\u304c\u3064\u3044\u3066\u3044\u308b\u6642\u9593 \u306e\u5408\u8a08\u306f (4 &minus; 1) + (7 &minus; 6) = 4 \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u5230\u7740\u3059\u308b\u6642\u523b 1 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\uff0e<\/li>\r\n\t<li>2 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u9000\u51fa\u3059\u308b\u6642\u523b 4 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u6d88\u3059\uff0e<\/li>\r\n\t<li>3 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u5230\u7740\u3059\u308b\u6642\u523b 6 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\uff0e<\/li>\r\n\t<li>3 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u9000\u51fa\u3059\u308b\u6642\u523b 7 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u6d88\u3059\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u3066\u3044\u308b\u6642\u9593\u306e\u5408\u8a08\u3092 4 \u672a\u6e80\u306b\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067\uff0c\u7b54\u3048\u3068\u3057\u3066 4 \u3092\u51fa\u529b\u3059\u308b\uff0e<\/p>\r\n\r\n<p>\u3053\u306e\u5165\u529b\u4f8b2\u3067\u306f\uff0cJOI \u541b\u306f 1 \u56de\u3057\u304b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u306e\u3067\uff0c1 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u5230\u7740\u3059\u308b\u6642\u523b 1 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\uff0c3 \u756a\u76ee\u306e\u6765\u5ba2\u304c\u9000\u51fa\u3059\u308b\u6642\u523b 7 \u306b\u30b9\u30c8\u30fc\u30d6\u3092\u6d88\u305b\u3070\u3088\u3044\uff0e<\/p>\r\n\r\n<p>\u6765\u5ba2\u304c\u9000\u51fa\u3059\u308b\u6642\u523b\u3068\uff0c\u305d\u306e\u6b21\u306e\u6765\u5ba2\u304c\u5230\u7740\u3059\u308b\u6642\u523b\u304c\u4e00\u81f4\u3059\u308b\u5834\u5408\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u305b\u3088\uff0e<\/p>\r\n\r\n<p>\u3053\u306e\u5165\u529b\u4f8b3\u3067\u306f\uff0cJOI \u541b\u306f\u6765\u5ba2\u304c\u5230\u7740\u3059\u308b\u5ea6\u306b\u30b9\u30c8\u30fc\u30d6\u3092\u3064\u3051\uff0c\u6765\u5ba2\u304c\u9000\u51fa\u3059\u308b\u5ea6\u306b\u30b9\u30c8\u30fc\u30d6\u3092\u6d88\u305b\u3070 \u3088\u3044\uff0e<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Japanese","limit":"<ul>\r\n\t<li>1 \u2266 N \u2266 100 000\uff0e<\/li>\r\n\t<li>1 \u2266 K \u2266 N\uff0e<\/li>\r\n\t<li>1 \u2266 T<sub>i<\/sub> \u2266 1 000 000 000 (1 \u2266 i \u2266 N)\uff0e<\/li>\r\n\t<li>T<sub>i<\/sub> &lt; T<sub>i+1<\/sub> (1 \u2266 i \u2266 N &minus; 1)\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>N &le; 20.<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub> &le; 20 (1 &le; i &le; N).<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>N &le; 5000.<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li>\u8ffd\u52a0\u306e\u5236\u9650\u306f\u306a\u3044\uff0e<\/li>\r\n<\/ul>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2017/2018 1번

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