시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB226696542.208%

문제

상근이는 매일 친구들에게 이상한 문제를 낸다.

오늘은 "각 자리의 합이 S가 되는 수가 구간 [A,B]에는 몇 개가 있을까? 또, 그러한 수 중에서 가장 작은 수는 뭘까?"

창영이는 이 질문의 답을 찾느라 3일 연속으로 밤을 샜다. 창영이가 잠을 잘 수 있게 대신 상근이 질문의 정답을 찾는 프로그램을 작성하시오.

입력

첫째 줄에 A, B, S가 주어진다. (1 ≤ A ≤ B < 1015, 1 ≤ S ≤ 135)

출력

첫째 줄에는 구간 [A,B]에 속하는 수 중 각 자리의 합이 S가 되는 수의 개수를 출력한다. 이 값이 적어도 1인 구간과 S만 입력으로 주어진다.

둘째 줄에는 그러한 수 중에서 가장 작은 수를 출력한다.

예제 입력 1

1 9 5

예제 출력 1

1
5

예제 입력 2

1 100 10

예제 출력 2

9
19

예제 입력 3

11111 99999 24

예제 출력 3

5445
11499
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출처

Contest > Croatian Open Competition in Informatics > COCI 2007/2008 > Contest #3 5번