시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB6210821.053%

문제

N(1 ≤ N ≤ 10,000)개의 정류장을 지나는 버스가 있다. 정류장은 차례로 1, 2, …, N번의 번호가 붙어 있고, 버스는 1번 정류장에서 출발하여 N번 정류장까지 간 후, 다시 1번 정류장으로 돌아오게 된다.

버스회사에서는 주기적으로 1번 정류장에서 버스를 출발시켜서 모든 손님들이 버스를 이용할 수 있도록 하고 있었는데, 겨울철에 눈이 많이 오는 바람에 한 대의 버스밖에 운행하지 못 하게 되었다. 불행 중 다행으로 회사에서는 고객들이 버스를 이용하는 구간을 K(1 ≤ K ≤ 50,000)개 조사해 둔 상태이다.

버스는 최대 C(1 ≤ C ≤ 100)명을 태울 수 있다. 회사 측에서는 사전에 조사해 둔 자료를 바탕으로, 한 바퀴를 도는(1번 정류장에서 N번 정류장까지 갔다가 다시 1번 정류장으로 돌아오는) 동안 가급적이면 많은 고객들을 목적지까지 태워 주려고 한다. 각 정류장에서 버스는 사람을 내려 줄 수도 있고, 사람을 태울 수도 있다. 단, 버스에 한 밴 태운 고객들은 목적지에 도착하기 전에는 내려줄 수 없다.

목적지까지 태워줄 수 있는 고객의 최대 수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 세 정수 K, N, C가 주어진다. 다음 K개의 줄에는 고객들의 버스 이용 구간을 나타내는 세 정수 S, E(1 ≤ S, E ≤ N), M(1 ≤ M ≤ C)이 주어진다. S와 E는 서로 다르며, 이는 S번 정류장에서 E번 정류장까지 가려는 고객이 M명 있다는 의미이다.

출력

첫째 줄에 답을 출력한다.

예제 입력 1

4 8 3
1 3 2
2 8 3
4 7 1
8 3 2

예제 출력 1

6

힌트

1번 정류장에서 3번 정류장으로 가는 고객을 두 명 태운다. 2번 정류장에서는 8번 정류장으로 가는 고객을 한 명 태운다(세 명을 다 태울 필요는 없다). 3번 정류장에서 두 명의 고객을 내려 주고, 4번 정류장에서는 7번 정류장으로 가는 고객을 한 명 태운다. 7번 정류장에서 한 명의 고객을 내려 주고, 8번 정류장에서 남은 한 명의 고객을 내려 준 뒤, 3번 정류장으로 가는 고객을 두 명 태운다. 이 고객들을 3번 정류장에 내려 주고, 다시 1번 정류장으로 돌아온다.

[{"problem_id":"2198","problem_lang":"0","title":"\ubc84\uc2a4\uc640 \uc190\ub2d8","description":"<p>N(1 &le; N &le; 10,000)\uac1c\uc758 \uc815\ub958\uc7a5\uc744 \uc9c0\ub098\ub294 \ubc84\uc2a4\uac00 \uc788\ub2e4. \uc815\ub958\uc7a5\uc740 \ucc28\ub840\ub85c 1, 2, &hellip;, N\ubc88\uc758 \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\uace0, \ubc84\uc2a4\ub294 1\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec N\ubc88 \uc815\ub958\uc7a5\uae4c\uc9c0 \uac04 \ud6c4, \ub2e4\uc2dc 1\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \ub3cc\uc544\uc624\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ubc84\uc2a4\ud68c\uc0ac\uc5d0\uc11c\ub294 \uc8fc\uae30\uc801\uc73c\ub85c 1\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c \ubc84\uc2a4\ub97c \ucd9c\ubc1c\uc2dc\ucf1c\uc11c \ubaa8\ub4e0 \uc190\ub2d8\ub4e4\uc774 \ubc84\uc2a4\ub97c \uc774\uc6a9\ud560 \uc218 \uc788\ub3c4\ub85d \ud558\uace0 \uc788\uc5c8\ub294\ub370, \uaca8\uc6b8\ucca0\uc5d0 \ub208\uc774 \ub9ce\uc774 \uc624\ub294 \ubc14\ub78c\uc5d0 \ud55c \ub300\uc758 \ubc84\uc2a4\ubc16\uc5d0 \uc6b4\ud589\ud558\uc9c0 \ubabb \ud558\uac8c \ub418\uc5c8\ub2e4. \ubd88\ud589 \uc911 \ub2e4\ud589\uc73c\ub85c \ud68c\uc0ac\uc5d0\uc11c\ub294 \uace0\uac1d\ub4e4\uc774 \ubc84\uc2a4\ub97c \uc774\uc6a9\ud558\ub294 \uad6c\uac04\uc744 K(1 &le; K &le; 50,000)\uac1c \uc870\uc0ac\ud574 \ub454 \uc0c1\ud0dc\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubc84\uc2a4\ub294 \ucd5c\ub300 C(1 &le; C &le; 100)\uba85\uc744 \ud0dc\uc6b8 \uc218 \uc788\ub2e4. \ud68c\uc0ac \uce21\uc5d0\uc11c\ub294 \uc0ac\uc804\uc5d0 \uc870\uc0ac\ud574 \ub454 \uc790\ub8cc\ub97c \ubc14\ud0d5\uc73c\ub85c, \ud55c \ubc14\ud034\ub97c \ub3c4\ub294(1\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c N\ubc88 \uc815\ub958\uc7a5\uae4c\uc9c0 \uac14\ub2e4\uac00 \ub2e4\uc2dc 1\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \ub3cc\uc544\uc624\ub294) \ub3d9\uc548 \uac00\uae09\uc801\uc774\uba74 \ub9ce\uc740 \uace0\uac1d\ub4e4\uc744 \ubaa9\uc801\uc9c0\uae4c\uc9c0 \ud0dc\uc6cc \uc8fc\ub824\uace0 \ud55c\ub2e4. \uac01 \uc815\ub958\uc7a5\uc5d0\uc11c \ubc84\uc2a4\ub294 \uc0ac\ub78c\uc744 \ub0b4\ub824 \uc904 \uc218\ub3c4 \uc788\uace0, \uc0ac\ub78c\uc744 \ud0dc\uc6b8 \uc218\ub3c4 \uc788\ub2e4. \ub2e8, \ubc84\uc2a4\uc5d0 \ud55c \ubc34 \ud0dc\uc6b4 \uace0\uac1d\ub4e4\uc740 \ubaa9\uc801\uc9c0\uc5d0 \ub3c4\ucc29\ud558\uae30 \uc804\uc5d0\ub294 \ub0b4\ub824\uc904 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubaa9\uc801\uc9c0\uae4c\uc9c0 \ud0dc\uc6cc\uc904 \uc218 \uc788\ub294 \uace0\uac1d\uc758 \ucd5c\ub300 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc138 \uc815\uc218 K, N, C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c K\uac1c\uc758 \uc904\uc5d0\ub294 \uace0\uac1d\ub4e4\uc758 \ubc84\uc2a4 \uc774\uc6a9 \uad6c\uac04\uc744 \ub098\ud0c0\ub0b4\ub294 \uc138 \uc815\uc218 S, E(1 &le; S, E &le; N), M(1 &le; M &le; C)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. S\uc640 E\ub294 \uc11c\ub85c \ub2e4\ub974\uba70, \uc774\ub294 S\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c E\ubc88 \uc815\ub958\uc7a5\uae4c\uc9c0 \uac00\ub824\ub294 \uace0\uac1d\uc774 M\uba85 \uc788\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>1\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c 3\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \uac00\ub294 \uace0\uac1d\uc744 \ub450 \uba85 \ud0dc\uc6b4\ub2e4. 2\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c\ub294 8\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \uac00\ub294 \uace0\uac1d\uc744 \ud55c \uba85 \ud0dc\uc6b4\ub2e4(\uc138 \uba85\uc744 \ub2e4 \ud0dc\uc6b8 \ud544\uc694\ub294 \uc5c6\ub2e4). 3\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c \ub450 \uba85\uc758 \uace0\uac1d\uc744 \ub0b4\ub824 \uc8fc\uace0, 4\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c\ub294 7\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \uac00\ub294 \uace0\uac1d\uc744 \ud55c \uba85 \ud0dc\uc6b4\ub2e4. 7\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c \ud55c \uba85\uc758 \uace0\uac1d\uc744 \ub0b4\ub824 \uc8fc\uace0, 8\ubc88 \uc815\ub958\uc7a5\uc5d0\uc11c \ub0a8\uc740 \ud55c \uba85\uc758 \uace0\uac1d\uc744 \ub0b4\ub824 \uc900 \ub4a4, 3\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \uac00\ub294 \uace0\uac1d\uc744 \ub450 \uba85 \ud0dc\uc6b4\ub2e4. \uc774 \uace0\uac1d\ub4e4\uc744 3\ubc88 \uc815\ub958\uc7a5\uc5d0 \ub0b4\ub824 \uc8fc\uace0, \ub2e4\uc2dc 1\ubc88 \uc815\ub958\uc7a5\uc73c\ub85c \ub3cc\uc544\uc628\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2198","problem_lang":"1","title":"Flying Right","description":"<p>Figuring that they cannot do worse than the humans have, Farmer John&#39;s cows have decided to start an airline. Being cows, they decide to cater to the heretofore-untapped market of cows as passengers. They plan to serve the cows who live along the western coast of Lake Michigan. Each morning, they will fly from the northern-most point of the coast southward towards Chicowgo, making many stops along the way. Each evening, they will fly back north to the northern-most point.<\/p>\r\n\r\n<p>They need your help to decide which passengers to carry each day. Each of N (1 &lt;= N &lt;= 10,000) farms numbered 1..N along the coast contains an airport (Farm 1 is northern-most; farm N is southern-most). On this day, K (1 &lt;= K &lt;= 50,000) groups of cows wish to travel.Each group of cows wants to fly from a particular farm to another particular farm. The airline, if it wishes, is allowed to stop and pick up only part of a group. Cows that start a flight, however,must stay on the plane until they reach their destination.<\/p>\r\n\r\n<p>Given the capacity C (1 &lt;= C &lt;= 100) of the airplane and the groups of cows that want to travel, determine the maximum number of cows that the airline can fly to their destination.<\/p>\r\n","input":"<ul>\r\n\t<li>Line 1: Three space-separated integers: K, N, and C<\/li>\r\n\t<li>Lines 2..K+1: Each line contains three space-separated integers S, E, and M that specify a group of cows that wishes to travel. The M (1 &lt;= M &lt;= C) cows are currently at farm S and want to travel to farm E (S != E).<\/li>\r\n<\/ul>\r\n","output":"<ul>\r\n\t<li>Line 1: The maximum number of cows that can be flown to their destination. This is the sum of the number of cows flown to their destination on the flight southward in the morning plus the number of cows flown to their destination on the flight northward in the evening.<\/li>\r\n<\/ul>\r\n","hint":"<p>Four groups of cows, eight farms, and three seats on the plane.<\/p>\r\n\r\n<p>In the morning, the flight takes 2 cows from 1-&gt;3, 1 cow from 2-&gt;8,and 1 cow from 4-&gt;7. In the evening, the flight takes 2 cows from 8-&gt;3.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > USA Computing Olympiad > 2005-2006 Season > USACO October 2005 Contest > Gold ?번

  • 문제의 오타를 찾은 사람: baek1134