시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB116527117528.000%

문제

동호는 주식으로 떼돈을 벌려고 한다.  동호가 주식왕이라 불리는 이유는 미래의 주식 값의 변화까지도 정확히 예측하기 때문이다. 현재 동호는 C개의 주식을 눈여겨보고 있고 이 주식들을 일정한 기간동안 적당히 사고팔면서 돈을 부풀릴 계획이다.

  Day 1 Day 2 Day 3
주식 1 10 15 15
주식 2 13 11 20

위와 같이 각 주식에 대해 날짜에 따른 주식 비용이다. 처음 동호가 가지고 있는 자본이 10이라 할 때 3일동안 동호가 최대로 돈을 벌 수 있는 방법은 첫째 날 주식 1을 매입한다. 둘째 날 주식 1을 매각하고 주식 2를 매입한다. 셋째 날 주식 2를 매각하면 초기 자본을 포함하여 총 24의 돈을 갖게 된다.

문제는 주식 종류와 기간, 초기 자금 등이 주어졌을 때 동호가 최종적으로 가질 수 있는 돈의 최댓값을 구하는 것이다.

입력

첫 줄에는 주식의 개수 C(1 ≤ C ≤ 50)과 주식 매입 및 매각을 할 기간 D(2 ≤ D ≤ 10), 초기 자금 M(1 ≤ M ≤ 200,000)이 공백으로 구분되어 주어진다. 두 번째 줄부터 C+1번째 줄까지 각 줄에는 각각 주식이 날짜에 따라 변하는 값이 입력된다. 주식 가격은 1 이상 1,000 이하이다.

출력

첫 줄에 동호가 최종적으로 가질 수 있는 돈의 최댓값을 출력한다. 출력값이 500,000을 넘지 않는 데이터만 주어진다.

예제 입력 1

2 3 10
10 15 15
13 11 20

예제 출력 1

24
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

출처

Olympiad > USA Computing Olympiad > 2008-2009 Season > USACO February 2009 Contest > Gold 2번

  • 문제를 번역한 사람: author6
  • 문제의 오타를 찾은 사람: jjwdi0