Problem7512--[CSES Problem Set] Missing Coin Sum

7512: [CSES Problem Set] Missing Coin Sum

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

You have $n$ coins with positive integer values. 
What is the smallest sum you cannot create using a subset of the coins?

Input

The first input line has an integer $n$: the number of coins.
The second line has $n$ integers $x_1,x_2,…,x_n$: the value of each coin.

Output

Print one integer: the smallest coin sum.

Constraints

$1≤n≤2⋅10^5$
$1≤x_i≤10^9$

Sample 1 Input

5
2 9 1 2 7

Sample 1 Output

6

HINT

相同题目:CSES 2183

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