Problem:
Score : 200 points

Problem Statement

Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane.

You can use the following theorem:

Theorem: an N-sided polygon satisfying the condition can be drawn if and only if the longest side is strictly shorter than the sum of the lengths of the other N-1 sides.

Constraints

All values in input are integers.

3 \leq N \leq 10

1 \leq L_i \leq 100

Input

Input is given from Standard Input in the following format:

N
L_1 L_2 ... L_N

Output

If an N-sided polygon satisfying the condition can be drawn, print Yes; otherwise, print No.

Sample Input 1

4
3 8 5 1

Sample Output 1

Yes

Since 8 < 9 = 3 + 5 + 1, it follows from the theorem that such a polygon can be drawn on a plane.

Sample Input 2

4
3 8 4 1

Sample Output 2

No

Since 8 \geq 8 = 3 + 4 + 1, it follows from the theorem that such a polygon cannot be drawn on a plane.

Sample Input 3

10
1 8 10 5 8 12 34 100 11 3

Sample Output 3

No

Solution in Rust (1.15.1) (judge verdict: Accepted)

//https://qiita.com/tanakh/
#[allow(unused_macros)]
macro_rules! input {
	(source = $s:expr, $($r:tt)*) => {
		let mut iter = $s.split_whitespace();
		let mut next = || { iter.next().unwrap() }; 
		input_inner!{next, $($r)*}
	};
	($($r:tt)*) => {

		let stdin = std::io::stdin();
		let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); 
		let mut next = move || -> String{
			bytes
				.by_ref()
				.map(|r|r.unwrap() as char) 
				.skip_while(|c|c.is_whitespace()) 
				.take_while(|c|!c.is_whitespace()) 
				.collect()
			};
	input_inner!{next, $($r)*} 
	};
}

#[allow(unused_macros)]
macro_rules! input_inner { 
	($next:expr) => {}; 
	($next:expr, ) => {};

	($next:expr, $var:ident : $t:tt $($r:tt)*) => { 
		let $var = read_value!($next, $t); 
		input_inner!{$next $($r)*}
	}; 
}
#[allow(unused_macros)]
macro_rules! read_value { 
	($next:expr, ( $($t:tt),* )) => {
		( $(read_value!($next, $t)),* ) 
	};
	
	($next:expr, [ $t:tt ; $len:expr ]) => {
		(0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
	};

	($next:expr, chars) => {
		read_value!($next, String).chars().collect::<Vec<char>>()
	};
	
	($next:expr, bytes) => {
		read_value!($next, String).into_bytes()
	};
	
	($next:expr, usize1) => { 
		read_value!($next, usize) - 1
	};

	($next:expr, $t:ty) => {
		$next().parse::<$t>().expect("Parse error")
	};
}

fn main(){
    input!{
        n : usize,
        l :[i64; n],
    }
    let mut count : i64 = 0;
    let mut max : i64 = 0;
    for i in 0..n {
        count = count + l[i];
        if max < l[i]{
            max = l[i];
        }
    }
    let mut ans : i64  = 0;
    ans = count - max;
    //println!("{}",ans);
    if max < ans {
        println!("{}","Yes");
    } else {
        println!("{}","No");
    }
}