#include <bits/stdc++.h>
using namespace std;

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
 
    int N,K; cin >> N >> K;
    string s; cin >> s;
    int sum = 0,open = 0,back = 0;
    for(auto c : s){
        if(c == '(') open++,back = 0;
        else{
            sum++;
            if(back == 0) sum++; 
            open--,back = 1;
        }    
        if(open < 0){cout << "No\n"; return 0;}
    }
    if(open > 0 || sum > K){cout << "No\n"; return 0;}
    cout << "Yes\n";
    bool first = true;
    back = -1;
    string answer = "";
    for(auto c : s){
        if(c == '('){
            if(back == 1 && !first) answer += '+';
            answer += '(';
            back = 0; open++;
        }
        else{
            if(back == 0) answer += '1';
            answer += "+1)";
            back = 1; open--;
        }
        first = false;
    }
    int more = K-sum;
    while(more--) answer += "+1";
    cout << answer << endl;
}