시간 제한메모리 제한제출정답맞힌 사람정답 비율
5 초 64 MB5651136916.312%

문제

지안지아는 타이완에서의 휴가를 계획하고 있다. 휴가동안 지안지아는 도시에서 도시로 이동하고 도시 안의 관광지들을 방문할 것이다.

타이완에는 하나의 고속도로를 따라서 n개의 도시들이 위치한다. 이 도시들은 순서대로 0부터 n-1까지의 번호가 붙어있다. 임의의 i(0 < i < n-1)에 대해서, 도시 i의 인접한 도시는 도시 i-1과 i+1이다. 도시 0과 인접한 도시는 도시 1뿐이고, 도시 n-1과 인접한 도시는 도시 n-2뿐이다.

각 도시에는 여러 관광지들이 있다. 지안지아는 d일 동안의 휴가를 얻었고 가능한 많은 관광지들을 방문하고 싶다. 지안지아는 휴가를 시작할 도시를 선택했다. 휴가기간동안 매일 지안지아는 인접한 도시로 움직이거나 또는 현재 도시의 관광지들을 모두 방문한다. 그러나 두 행동을 하루에 모두 할수는 없다. 지안지아는 한 도시에 여러 번 머물더라도 같은 도시안의 관광지들을 결코 두 번 방문하지는 않는다. 지안지아가 가능한 많은 서로 다른 관광지들을 방문하도록 도와주자.

지안지아는 7일의 휴가를 얻었고, (아래 표와 같이) 5개의 도시가 있고 도시 2에서 휴가를 시작하였다. 첫 번째 날 지안지아는 도시 2의 20개 관광지를 방문한다. 두 번째 날 지안지아는 도시 2에 서 도시 3으로 이동하고 세 번째 날 도시 3의 30개 관광지들을 방문한다. 다음 3일동안 지안지아 는 도시 3에서 도시 0으로 이동해서 일곱 번째 날에 도시 0의 10개 관광지들을 방문한다. 따라서 지안지아가 방문한 관광지의 총 개수는 20 + 30 + 10 = 60이고 이것은 그가 도시 2에서 시작해서 7일 동안 방문할 수 있는 관광지들의 최대 개수이다.

도시 관광지 개수
0 10
1 2
2 20
3 30
4 1
행동
1 도시 2의 관광지들을 방문
2 도시 2에서 도시 3으로 이동
3 도시 3의 관광지들을 방문
4 도시 3에서 도시 2로 이동
5 도시 2에서 도시 1로 이동
6 도시 1에서 도시 0으로 이동
7 도시 0의 관광지들을 방문

지안지아가 방문할 수 있는 관광지들의 최대 개수를 계산하시오.

입력

첫째 줄에 도시의 개수 n, 시작 도시의 번호 start, 휴가일의 수 d가 주어진다.

둘째 줄에는 도시 i의 관광지 개수가 0번 도시부터 순서대로 공백으로 구분해 주어진다.

출력

지안지아가 방문할 수 있는 관광지의 최대 개수를 출력한다.

서브태스크 1 (7점)

  • 2 ≤ n ≤ 20
  • 한 도시안의 관광지들의 최대 개수 = 1,000,000,000
  • 시작 도시: 제약 없음

서브태스크 2 (23점)

  • 2 ≤ n ≤ 100,000
  • 한 도시안의 관광지들의 최대 개수 = 100
  • 시작 도시: 도시 0

서브태스크 3 (17점)

  • 2 ≤ n ≤ 3,000
  • 한 도시안의 관광지들의 최대 개수 = 1,000,000,000
  • 시작 도시: 제약 없음

서브태스크 4 (53점)

  • 2 ≤ n ≤ 100,000
  • 한 도시안의 관광지들의 최대 개수 = 1,000,000,000
  • 시작 도시: 제약 없음

예제 입력 1

5 2 7
10 2 20 30 1

예제 출력 1

60
[{"problem_id":"10076","problem_lang":"0","title":"\ud734\uac00","description":"<p>\uc9c0\uc548\uc9c0\uc544\ub294 \ud0c0\uc774\uc644\uc5d0\uc11c\uc758 \ud734\uac00\ub97c \uacc4\ud68d\ud558\uace0 \uc788\ub2e4. \ud734\uac00\ub3d9\uc548 \uc9c0\uc548\uc9c0\uc544\ub294 \ub3c4\uc2dc\uc5d0\uc11c \ub3c4\uc2dc\ub85c \uc774\ub3d9\ud558\uace0 \ub3c4\uc2dc \uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38\ud560 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud0c0\uc774\uc644\uc5d0\ub294 \ud558\ub098\uc758 \uace0\uc18d\ub3c4\ub85c\ub97c \ub530\ub77c\uc11c n\uac1c\uc758 \ub3c4\uc2dc\ub4e4\uc774 \uc704\uce58\ud55c\ub2e4. \uc774 \ub3c4\uc2dc\ub4e4\uc740 \uc21c\uc11c\ub300\ub85c 0\ubd80\ud130 n-1\uae4c\uc9c0\uc758 \ubc88\ud638\uac00 \ubd99\uc5b4\uc788\ub2e4. \uc784\uc758\uc758 i(0 &lt; i &lt; n-1)\uc5d0 \ub300\ud574\uc11c, \ub3c4\uc2dc i\uc758 \uc778\uc811\ud55c \ub3c4\uc2dc\ub294 \ub3c4\uc2dc i-1\uacfc i+1\uc774\ub2e4. \ub3c4\uc2dc 0\uacfc \uc778\uc811\ud55c \ub3c4\uc2dc\ub294 \ub3c4\uc2dc 1\ubfd0\uc774\uace0, \ub3c4\uc2dc n-1\uacfc \uc778\uc811\ud55c \ub3c4\uc2dc\ub294 \ub3c4\uc2dc n-2\ubfd0\uc774\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ub3c4\uc2dc\uc5d0\ub294 \uc5ec\ub7ec \uad00\uad11\uc9c0\ub4e4\uc774 \uc788\ub2e4. \uc9c0\uc548\uc9c0\uc544\ub294 d\uc77c \ub3d9\uc548\uc758 \ud734\uac00\ub97c \uc5bb\uc5c8\uace0 \uac00\ub2a5\ud55c \ub9ce\uc740 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38\ud558\uace0 \uc2f6\ub2e4. \uc9c0\uc548\uc9c0\uc544\ub294 \ud734\uac00\ub97c \uc2dc\uc791\ud560 \ub3c4\uc2dc\ub97c \uc120\ud0dd\ud588\ub2e4. \ud734\uac00\uae30\uac04\ub3d9\uc548 \ub9e4\uc77c \uc9c0\uc548\uc9c0\uc544\ub294 \uc778\uc811\ud55c \ub3c4\uc2dc\ub85c \uc6c0\uc9c1\uc774\uac70\ub098 \ub610\ub294 \ud604\uc7ac \ub3c4\uc2dc\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \ubaa8\ub450 \ubc29\ubb38\ud55c\ub2e4. \uadf8\ub7ec\ub098 \ub450 \ud589\ub3d9\uc744 \ud558\ub8e8\uc5d0 \ubaa8\ub450 \ud560\uc218\ub294 \uc5c6\ub2e4. \uc9c0\uc548\uc9c0\uc544\ub294 \ud55c \ub3c4\uc2dc\uc5d0 \uc5ec\ub7ec \ubc88 \uba38\ubb3c\ub354\ub77c\ub3c4 \uac19\uc740 \ub3c4\uc2dc\uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \uacb0\ucf54 \ub450 \ubc88 \ubc29\ubb38\ud558\uc9c0\ub294 \uc54a\ub294\ub2e4. \uc9c0\uc548\uc9c0\uc544\uac00 \uac00\ub2a5\ud55c \ub9ce\uc740 \uc11c\ub85c \ub2e4\ub978 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38\ud558\ub3c4\ub85d \ub3c4\uc640\uc8fc\uc790.<\/p>\r\n\r\n<p>\uc9c0\uc548\uc9c0\uc544\ub294 7\uc77c\uc758 \ud734\uac00\ub97c \uc5bb\uc5c8\uace0, (\uc544\ub798 \ud45c\uc640 \uac19\uc774) 5\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\uace0 \ub3c4\uc2dc 2\uc5d0\uc11c \ud734\uac00\ub97c \uc2dc\uc791\ud558\uc600\ub2e4. \uccab \ubc88\uc9f8 \ub0a0 \uc9c0\uc548\uc9c0\uc544\ub294 \ub3c4\uc2dc 2\uc758 20\uac1c \uad00\uad11\uc9c0\ub97c \ubc29\ubb38\ud55c\ub2e4. \ub450 \ubc88\uc9f8 \ub0a0 \uc9c0\uc548\uc9c0\uc544\ub294 \ub3c4\uc2dc 2\uc5d0 \uc11c \ub3c4\uc2dc 3\uc73c\ub85c \uc774\ub3d9\ud558\uace0 \uc138 \ubc88\uc9f8 \ub0a0 \ub3c4\uc2dc 3\uc758 30\uac1c \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38\ud55c\ub2e4. \ub2e4\uc74c 3\uc77c\ub3d9\uc548 \uc9c0\uc548\uc9c0\uc544 \ub294 \ub3c4\uc2dc 3\uc5d0\uc11c \ub3c4\uc2dc 0\uc73c\ub85c \uc774\ub3d9\ud574\uc11c \uc77c\uacf1 \ubc88\uc9f8 \ub0a0\uc5d0 \ub3c4\uc2dc 0\uc758 10\uac1c \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38\ud55c\ub2e4. \ub530\ub77c\uc11c \uc9c0\uc548\uc9c0\uc544\uac00 \ubc29\ubb38\ud55c \uad00\uad11\uc9c0\uc758 \ucd1d \uac1c\uc218\ub294 20 + 30 + 10 = 60\uc774\uace0 \uc774\uac83\uc740 \uadf8\uac00 \ub3c4\uc2dc 2\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c 7\uc77c \ub3d9\uc548 \ubc29\ubb38\ud560 \uc218 \uc788\ub294 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218\uc774\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\ub3c4\uc2dc<\/th>\r\n\t\t\t<th>\uad00\uad11\uc9c0 \uac1c\uc218<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t<\/tbody>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>10<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>20<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>30<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<table class=\"table table-bordered\" style=\"width:30%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\uc77c<\/th>\r\n\t\t\t<th>\ud589\ub3d9<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t<\/tbody>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 2\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 2\uc5d0\uc11c \ub3c4\uc2dc 3\uc73c\ub85c \uc774\ub3d9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 3\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 3\uc5d0\uc11c \ub3c4\uc2dc 2\ub85c \uc774\ub3d9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 2\uc5d0\uc11c \ub3c4\uc2dc 1\ub85c \uc774\ub3d9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>6<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 1\uc5d0\uc11c \ub3c4\uc2dc 0\uc73c\ub85c \uc774\ub3d9<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>\ub3c4\uc2dc 0\uc758 \uad00\uad11\uc9c0\ub4e4\uc744 \ubc29\ubb38<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc9c0\uc548\uc9c0\uc544\uac00 \ubc29\ubb38\ud560 \uc218 \uc788\ub294 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218\ub97c \uacc4\uc0b0\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub3c4\uc2dc\uc758 \uac1c\uc218 n, \uc2dc\uc791 \ub3c4\uc2dc\uc758 \ubc88\ud638 start, \ud734\uac00\uc77c\uc758 \uc218 d\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \ub3c4\uc2dc i\uc758 \uad00\uad11\uc9c0 \uac1c\uc218\uac00 0\ubc88 \ub3c4\uc2dc\ubd80\ud130 \uc21c\uc11c\ub300\ub85c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uc9c0\uc548\uc9c0\uc544\uac00 \ubc29\ubb38\ud560 \uc218 \uc788\ub294 \uad00\uad11\uc9c0\uc758 \ucd5c\ub300 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<ul>\r\n\t<li>2 &le; n &le; 20<\/li>\r\n\t<li>\ud55c \ub3c4\uc2dc\uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218 = 1,000,000,000<\/li>\r\n\t<li>\uc2dc\uc791 \ub3c4\uc2dc: \uc81c\uc57d \uc5c6\uc74c<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>2 &le; n &le; 100,000<\/li>\r\n\t<li>\ud55c \ub3c4\uc2dc\uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218 = 100<\/li>\r\n\t<li>\uc2dc\uc791 \ub3c4\uc2dc: \ub3c4\uc2dc 0<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li>2 &le; n &le; 3,000<\/li>\r\n\t<li>\ud55c \ub3c4\uc2dc\uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218 = 1,000,000,000<\/li>\r\n\t<li>\uc2dc\uc791 \ub3c4\uc2dc: \uc81c\uc57d \uc5c6\uc74c<\/li>\r\n<\/ul>\r\n","subtask4":"<ul>\r\n\t<li>2 &le; n &le; 100,000<\/li>\r\n\t<li>\ud55c \ub3c4\uc2dc\uc548\uc758 \uad00\uad11\uc9c0\ub4e4\uc758 \ucd5c\ub300 \uac1c\uc218 = 1,000,000,000<\/li>\r\n\t<li>\uc2dc\uc791 \ub3c4\uc2dc: \uc81c\uc57d \uc5c6\uc74c<\/li>\r\n<\/ul>\r\n","custom_subtask_scoring_b":"<p>\ubaa8\ub4e0 \ubd80\ubd84 \ubb38\uc81c\uc5d0\uc11c, 0 &le; d &le; 2n + &lfloor;n\/2&rfloor;\uc774\uace0,\u001d\uac01 \ub3c4\uc2dc\uc758 \uad00\uad11\uc9c0\ub4e4\uc758 \uac1c\uc218\ub294 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"10076","problem_lang":"1","title":"Holiday","description":"<p>Jian-Jia is planning his next holiday in Taiwan. During his holiday, Jian-Jia moves from city to city and visits attractions in the cities.<\/p>\r\n\r\n<p>There are n cities in Taiwan, all located along a single highway. The cities are numbered consecutively from 0 to n-1. For city i, where 0 &lt; i &lt; n-1, the adjacent cities are i-1 and i+1. The only city adjacent to city 0 is city 1, and the only city adjacent to city n-1 is city n-2.<\/p>\r\n\r\n<p>Each city contains some number of attractions. Jian-Jia has days of holiday and plans to visit as many attractions as possible. Jian-Jia has already selected a city in which to start his holiday. In each day of his holiday Jian-Jia can either move to an adjacent city, or else visit all the attractions of the city he is staying, but not both. Jian-Jia will never visit the attractions in the same city twice even if he stays in the city multiple times. Please help Jian-Jia plan his holiday so that he visits as many different attractions as possible.<\/p>\r\n\r\n<p>Suppose Jian-Jia has 7 days of holiday, there are 5 cities (listed in the table below), and he starts from city 2. On the first day Jian-Jia visits the 20 attractions in city 2. On the second day Jian-Jia moves from city 2 to city 3, and on the third day visits the 30 attractions in city 3. Jian-Jia then spends the next three days moving from city 3 to city 0, and visits the 10 attractions in city 0 on the seventh day. The total number of attractions Jian-Jia visits is 20 + 30 + 10 = 60, which is the maximum number of attractions Jian-Jia can visit in 7 days when he starts from city 2.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:20%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>city<\/th>\r\n\t\t\t<th>number of attractions<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>10<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>20<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>30<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<table class=\"table table-bordered\" style=\"width:30%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>day<\/th>\r\n\t\t\t<th>action<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t<\/tbody>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>visit the attractions in city 2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>move from city 2 to city 3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>visit the attractions in city 3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>move from city 3 to city 2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>move from city 2 to city 1<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>6<\/td>\r\n\t\t\t<td>move from city 1 to city 0<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>visit the attractions in city 0<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Please implement a function findMaxAttraction that computes the maximum number of attractions Jian-Jia can visit.<\/p>\r\n\r\n<ul>\r\n\t<li>findMaxAttraction(n, start, d, attraction)\r\n\t<ul>\r\n\t\t<li>n: the number of cities.<\/li>\r\n\t\t<li>start: the index of the starting city.<\/li>\r\n\t\t<li>d: the number of days.<\/li>\r\n\t\t<li>attraction: array of length n; attraction[i] is the number of attractions in city i, for 0 &le; i &le; n-1.<\/li>\r\n\t\t<li>The function should return the maximum number of attractions Jian-Jia can visit.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","input":"<ul>\r\n\t<li><span style=\"line-height:1.6em\">line 1: n, start, d.<\/span><\/li>\r\n\t<li>line 2: attraction[0], ..., attraction[n-1].<\/li>\r\n<\/ul>\r\n","output":"<p>Print the return value of findMaxAttraction.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","subtask1":"<ul>\r\n\t<li>2 &le; n &le; 20<\/li>\r\n\t<li>maximum number of attractions in a city = 1,000,000,000<\/li>\r\n\t<li>starting city:&nbsp;no constraints<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>2 &le; n &le; 100,000<\/li>\r\n\t<li>maximum number of attractions in a city = 100<\/li>\r\n\t<li>starting city:&nbsp;city 0<\/li>\r\n<\/ul>\r\n","subtask3":"<ul>\r\n\t<li>2 &le; n &le; 3,000<\/li>\r\n\t<li>maximum number of attractions in a city = 1,000,000,000<\/li>\r\n\t<li>starting city:&nbsp;no constraints<\/li>\r\n<\/ul>\r\n","subtask4":"<ul>\r\n\t<li>2 &le; n &le; 100,000<\/li>\r\n\t<li>maximum number of attractions in a city = 1,000,000,000<\/li>\r\n\t<li>starting city:&nbsp;no constraints<\/li>\r\n<\/ul>\r\n","custom_subtask_scoring_b":"<p>In all subtasks 0 &le; d &le; 2n + &lfloor;n\/2&rfloor;, and the number of attractions in each city is nonnegative.<\/p>\r\n"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2014 > Day 2 6번

  • 문제의 오타를 찾은 사람: kcm1700
  • 문제를 만든 사람: Jakub Łącki

채점 및 기타 정보

  • 예제는 채점하지 않는다.