Coins 2

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문제 설명

예제1

문제

In ICPCCamp, people usually use coins of values $1, 2, 3, \dots, n$ .

Bobo was very poor, he had only $a\_1, a\_2, a\_3, \dots, a\_n$ coins of values $1, 2, 3, \dots, n$ , respectively. He bought an item of an unknown value without making change.

The unknown item was of non-negative integer value. Find the number of possible values it may have had.

입력

The input contains zero or more test cases, and is terminated by end-of-file. For each test case:

The first line contains one integer $n$ ( $1 \leq n \leq 15$ ).

The second line contains $n$ integers $a\_1, a\_2, \dots, a\_n$ ( $0 \leq a\_i \leq 10^9$ ).

It is guaranteed that the number of test cases does not exceed $100$ , and there is at most one test case where $n > 10$ .

출력

For each test case, output an integer which denotes the number of possibilities.