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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Difficulty Alpha
You have n coins with certain values. Your task is to find all money sums you can create using these coins.
Input
The first input line has an integer n: the number of coins.
The next line has n integers x1,x2,…,xn: the values of the coins.
Output
First print an integer k: the number of distinct money sums. After this, print all possible sums in increasing order.
Constraints
1≤n≤100
1≤xi≤1000
Example
Input:
4
4 2 5 2
Output:
9
2 4 5 6 7 8 9 11 13
Для отправки решений необходимо выполнить вход.
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