fn main() {
    input! {
        _n: usize,
        k: usize,
        s: bytes,
    }
    if let Some(a) = solve(s, k) {
        println!("Yes");
        println!("{}", a.iter().map(|a| *a as char).collect::<String>());
    } else {
        println!("No");
    }
}

fn solve(s: Vec<u8>, k: usize) -> Option<Vec<u8>> {
    let mut stack = vec![0];
    let mut ans = vec![];
    let mut x = 0;
    for s in s {
        if s == b'(' {
            if stack[x] > 0 {
                ans.push(b'+');
            }
            ans.push(s);
            stack.push(0);
            x += 1;
        } else if x == 0 {
            return None;
        } else {
            let v = stack.pop().unwrap();
            if v == 0 {
                ans.extend("1+1".bytes());
            } else if v == 1 {
                ans.extend("+1".bytes());
            }
            ans.push(b')');
            x -= 1;
            stack[x] += 1;
        }
    }
    if x != 0 {
        return None;
    }
    if stack[0] == 1 {
        ans.extend("+1".bytes());
    }
    let c = ans.iter().filter(|c| **c == b'1').count();
    if c > k {
        return None;
    }
    ans.extend("+1".repeat(k - c).bytes());
    Some(ans)
}

// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[macro_export]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[macro_export]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------