시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB7401209324.668%

문제

상근이는 선영이에게 B달러를 빌렸다.

이제 돈을 갚을 시간이다. 매월 초에 상근이가 내야하는 금액의 R 퍼센트가 이자로 붙는다. 상근이는 매월 말에 과외비 M달러를 받고, 이 금액 만큼 선영이에게 갚을 수 있다.

상근이는 선영이에게 더 이상 돈을 빌리지 않고, 상근이는 과외 이외의 일을 하지 않으며, 과외비는 인상되지 않는다.

이러한 경우에 상근이가 돈을 다 갚는데 몇 달이 걸리는지 구하는 프로그램을 작성하시오.

이자는 가까운 센트로 반올림한다. 100센트는 1달러이고, 0.5센트보다 크거나 같은 경우에 1센트로 올림, 나머지 경우에 버림한다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 첫째 줄에는 테스트 케이스의 수가 주어지며, 1000을 넘지 않는다.

각 테스트 케이스는 한 줄로 이루어져 있고, R, B, M이 주어진다. 세 숫자는 모두 실수로 소수점 둘째 자리까지 주어지며, R ≤ 50.00, B, M ≤ 50000.00을 만족한다.

출력

각 테스트 케이스 마다, 돈을 다 갚는데 몇 달이 걸리는지를 출력한다. 만약, 1200달이 넘어도 돈을 갚을 수 없다면, impossible을 출력한다.

예제 입력 1

11
2.00 100.00 105.00
2.00 100.00 102.00
2.00 100.00 100.00
2.00 100.00 4.00
2.00 100.00 3.00
2.00 100.00 1.00
2.00 100.00 2.00
9.56 5462.50 522.22
12.50 29876.44 33610.99
5.50 1.00 1.05
14.78 40181.09 46119.86

예제 출력 1

1
1
2
36
56
impossible
impossible
impossible
2
2
1
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

출처

ICPC > Regionals > North America > Rocky Mountain Regional > 2013 Rocky Mountain Regional Contest E번