Problem10213--CCC '24 J2 - Dusa And The Yobis

10213: CCC '24 J2 - Dusa And The Yobis

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

Canadian Computing Competition: 2024 Stage 1, Junior #2

Dusa eats Yobis, but only Yobis of a certain size.

If Dusa encounters a Yobi that is smaller than itself, it eats the Yobi, and absorbs its size. For example, if Dusa is of size 10 and it encounters a Yobi of size 6, Dusa eats the Yobi and expands to size 10+6=16.

If Dusa encounters a Yobi that is the same size as itself or larger, Dusa runs away without eating the Yobi.

Dusa is currently facing a line of Yobis and will encounter them in order. Dusa is guaranteed to eventually encounter a Yobi that causes it to run away. Your job is to determine Dusa's size when this happens.

Input

The first line of input contains a positive integer, $D$, representing Dusa's starting size.

The remaining lines of input contain positive integers representing the sizes of the Yobis in order.

Output

Output the positive integer, $R$, which is Dusa's size when it eventually runs away.

Sample 1 Input

5
3
2
9
20
22
14

Sample 1 Output

19
Dusa is large enough to eat the Yobi of size 3. This brings Dusa's size to 8. Dusa is large enough to eat the Yobi of size 2. This brings Dusa's size to 10. Dusa is large enough to eat the Yobi of size 9. This brings Dusa's size to 19. The Yobi of size 20 causes Dusa to run away.

Sample 2 Input

10
10
3
5
13

Sample 2 Output

10
The Yobi of size 10 causes Dusa to run away, leaving its size unchanged.

HINT

CCC24J2

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