시간 제한 | 메모리 제한 | 제출 | 정답 | 맞힌 사람 | 정답 비율 |
---|---|---|---|---|---|
8 초 (추가 시간 없음) | 512 MB | 9 | 7 | 6 | 85.714% |
The currency system in the Kingdom of Yoax-Musty is strange and fairly inefficient. Like other countries, the kingdom has its own currencty unit denoted by K \$ (kingdom dollar). However, the Ministry of Finance issues bills for every value between 1 K \$ and (231 - 1) K \$ worth.
On the other hand, this system often enables people to make many different values just with a small number of bills. For example, if you have four bills of 1 K \$, 2 K \$, 4 K \$, and 8 K \$ worth respectively, you can make any values from 1 K #36; to 15 K \$.
In this problem, you are requested to write a program that finds the minimum value that cannot be made with a given set (multiset in a mathematical sense) of bills. For the case with the four bills (1 K \$, 2 K \$, 4 K \$, and 8 K \$), since you can make any values up to 15 K \$, your program should report 16 K $.
The input consists of two lines. The first line contains an integer N (1 ≤ N ≤ 10000), the number of bills. The second line contains N integers, each of which represents the value of a bill in K \$. There may be multiple bills of the same value.
Print the minimum value unable to be made on a line. The value should be given in K \$ and without any currency sign or name.
4 1 2 4 8
16
5 1 1 3 11 2
8