Problem G
Walrus Weights
Wallace the Weightlifting Walrus is training for a contest where it will have to lift $1\, 000$ kg. Wallace has some weight plates lying around, possibly of different weights, and its goal is to add some of the plates to a bar so that it can train with a weight as close as possible to $1\, 000$ kg.
In case there exist two such numbers which are equally close to $1\, 000$ (e.g. $998$ and $1\, 002$), Wallace will pick the greater one (in this case $1\, 002$).
Help Wallace the Weightlifting Walrus and tell it which weight it will have to lift.
Input
The first line of the input contains the number of plates $n$ ($1 \leq n \leq 1\, 000$). Each of the following $n$ lines contains one positive integer less than or equal to $1\, 000$, denoting the weight of each plate.
Output
Output one integer, the combined weight closest to $1\, 000$.
| Sample Input 1 | Sample Output 1 |
|---|---|
4 900 500 498 4 |
1002 |
| Sample Input 2 | Sample Output 2 |
|---|---|
1 1 |
1 |
