Summing up coins
Given
n coins of some value, you are asked to find out all the possible sums you can obtain with those coins.Input
The first line of the input contains a single integer
n (1 ≤ n ≤ 100).The next line contains
n space-separated integers Output
The program should first print the number of possible sums one can obtain with those coins on the first line. While the second line of the output should contain all the possible sums in increasing order separated by a space.
Examples
Input | Output |
4
2 5 4 2 | 9
2 4 5 6 7 8 9 11 13 |
Constraints
Time limit: 4 seconds
Memory limit: 512 MB
Output limit: 1 MB